Use the figure above to identify a pair of similar triangles, then find the scale factor. The image is not drawn to scale.
A. HEF ~EGH with a scale factor of root 3.2.
B. HEG-GEF with a scale factor of 2:1.
C. HEF -EGF with a scale factor of root 3.1.
D. HEF -GEF with a scale factor of 3.1.
Answers
Answer:
Option C.
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem triangles HEF and EGE are similar
because
[tex]EF/GF=HF/EF[/tex]
substitute the values
[tex]\frac{\sqrt{3}}{1}=\frac{3}{\sqrt{3}}\\ \\3=3[/tex]
Is true
The sides are proportional
and
∠HFE=∠GFE
∠EHF=∠GEF
∠HEF=∠EGF
The angles are congruent
The scale factor is equal to
[tex]EF/GF[/tex]
[tex]\frac{\sqrt{3}}{1}[/tex]
Answer:
Option C
Step-by-step explanation:
Two triangles are similar if they have at least 2 equal angles
Note that the HEF triangle has angles of 90 °, 60 ° and 30 °
Note that the EGF triangle has angles of 90 ° and 30 ° so the third angle must be 60 °
Then HEF and EGF are similar triangles.
By definition for similar triangles it is satisfied that if they have sides of length a, b, c and a ', b' c' then
[tex]\frac{a}{a'}=\frac{b}{b'}=\frac{c}{c'}=k[/tex]
Where the constant k is known as "scale factor"
In this case
[tex]\frac{HF}{EF}=\frac{HE}{EG}=\frac{FE}{GF}=k[/tex]
[tex]k=\frac{3}{\sqrt{3}}=\frac{2\sqrt{3}}{2}=\frac{\sqrt{3}}{1}=\sqrt{3}[/tex]
[tex]\frac{FE}{GF}=\frac{\sqrt{3}}{1}[/tex]
or
[tex]\sqrt{3}:1[/tex]
The answer is Option C
Related Questions
this line plot shows how many miles maya walked this week.
(please look at photo)
which shows the number of miles maya would have walked each day is she would have walked the same distance every day.
A - 9 9/14 miles
B - 9 miles
C - 8 9/14 miles
D - 8 miles
Answers
Answer:
your answer would be A -9 9/14
What is the slope of a line perpendicular to the line whose equation is y = 2x+5?
slope = -1
slope =
slope = -2
Answers
Answer:
slope = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 5 is in this form with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]
Answer:
Slope [tex]m_{2} = \frac{-1}{2}[/tex].
Step-by-step explanation:
Given : equation is y = 2x+5.
To find : What is the slope of a line perpendicular to the line.
Solution : We have given y = 2x+5.
On comparing by the slope form of line is
y = mx + b
where, m = slope , b = y-inercept.
So , [tex]m_{1}[/tex] = 2 .
When the two line are perpendicular to each other then thier slope is
[tex]m_{2} = \frac{-1}{m_{1}}[/tex].
Then plug the value of [tex]m_{1}[/tex] = 2 .
[tex]m_{2} = \frac{-1}{2}[/tex].
[tex]m_{2} = \frac{-1}{2} [/tex].
Therefore, Slope [tex]m_{2} = \frac{-1}{2}[/tex].
A section of a biking trail begins at the coordinates
(-3, 14) and follows a straight path that ends at
coordinates (6, -1). What is the rate of change of
the biking trail?
Answers
Answer:
-5/3
Step-by-step explanation:
The rate of change of the biking trail is determined using the slope formula. The slope of the line passing through the given coordinates is -5/3.
Explanation:The rate of change of the biking trail can be determined using the slope formula. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula slope = (y2 - y1) / (x2 - x1).
Using the given coordinates (-3, 14) and (6, -1), we can substitute the values into the formula to find the rate of change of the biking trail.
slope = (-1 - 14) / (6 - (-3)) = -15 / 9 = -5/3
Therefore, the rate of change of the biking trail is -5/3.
Learn more about slope of a line here:https://brainly.com/question/34207674
#SPJ11
Giuseppi's Pizza had orders for $931.00 of pizzas. The prices were $21 for a large pizza, 514 for a medium pizza, and $7 for a small pizza. The number of large pizzas was two less than four times the number of medium pizzas. The
number of small pizzas was three more than three times the number of medium pizzas. How many of each size of pizza were ordered?
Answers
Answer:
Number of Large Pizzas: 30
Number of Medium Pizzas: 8
Number of Small Pizzas: 27
Step-by-step explanation:
L = # of large Pizzas
M = # of medium Pizzas
S = # of small Pizzas
Amount:
L = 4M - 2
S = 3M + 3
Cost:
21L + (I'm assuming you meant 14) 14M + 7S = 931
Plus in the Amounts to the Cost:
21(4M - 2) + 14M + 7(3M + 3) = 931
84M - 42 + 14M + 21M +21 = 931
Combine like terms:
119M - 21 = 931
Isolate the Variable:
119M - 21 + 21 = 931 + 21
119M = 952
119M/119 = 952/119
M = 8
Plug it into the Amount equations:
Large: L = 4(8) - 2
L = 32 - 2
L = 30
Small: S = 3M + 3
S = 3(8) + 3
S = 24 + 3
S = 27
Check your work (plug the values into Cost.):
21(30) + 14(8) + 7(27) = 931
630 + 112 + 189 = 931
931 = 931
The number of medium pizzas ordered was 10. Hence, based on the given relationships, the number of large pizzas was 38 and the number of small pizzas was 33.
Explanation:To solve this problem, really, we are using three algebraic expressions that represent the total cost, the relationship between the large and medium pizzas, and the relationship between the small and medium pizzas.
We can define M as the number of medium pizzas, L as the number of large pizzas, and S as the number of small pizzas. We can then set up the following equations based on the problem:
$21L + $14M + $7S = $931L = 4M - 2S = 3M + 3We can substitute equations 2 and 3 into equation 1 to get a single equation in terms of M:
$21(4M-2) + $14M + $7(3M+3) = $931
Which simplifies to:
93M = 931
Then, M=10, hence, the number of medium pizzas is 10, number of large pizzas (4M-2) is 38, and the number of small pizzas (3M+3) is 33.
Learn more about Algebra here:https://brainly.com/question/32436021
#SPJ2
The value of x is
.
Answers
Answer:
x=93
Step-by-step explanation:
The exterior angles of a triangle add to 360 degrees
133+134+x = 360
267+x =360
Subtract 267 from each side
267+x-267 = 360-267
x =93
Find the volume of the pyramid below.
O A. 960 units
O B. 384 units3
O C. 480 units 3
O
D. 1152 units3
Answers
Answer:
B
Step-by-step explanation:
The volume (V) of a pyramid is calculated as
V = [tex]\frac{1}{3}[/tex] area of base × perpendicular height (h)
area of square base = 12 × 12 = 144 units² and h = 8, hence
V = [tex]\frac{1}{3}[/tex] × 144 × 8 = [tex]\frac{1152}{3}[/tex] = 384 units³ → B
Volume of the pyramid is equal to [tex]384 \ unit^{3}[/tex].
What is a volume?" Volume is defined as the total space occupied by any three- dimensional object enclosed in it."
Formula used
Volume of a pyramid [tex]= \frac{1}{3} \times Area \ of \ the \ base \times height[/tex]
Area of a square [tex]= s^{2}[/tex]
[tex]s=[/tex] Side length
According to the question,
Given dimensions of pyramid,
Height of the pyramid [tex]= 8 \ units[/tex]
Base of the pyramid is square in shape
Side length of a square [tex]= 12 \ units[/tex]
Substitute the value in the formula to get the area of the base,
Area of the base [tex]= 12 \times 12[/tex]
[tex]= 144 \ units^{2}[/tex]
Substitute the value to get the volume of the pyramid,
Volume of the pyramid [tex]= \frac{1}{3} \times 144 \times 8[/tex]
[tex]= 48 \times 8\\\\= 384 \ units^{3}[/tex]
Hence, Option(B) is the correct answer.
Learn more about volume here
brainly.com/question/13338592
#SPJ2
there is a bag filled with 3 blue, 4 red and 5 green marbles. a marble is taken at random. what is the probability of exactly 1 red?
Answers
Answer:
P 1 red) = 1/3
Step-by-step explanation:
We have 12 marbles (3+4+5)
P(red) = red marbles/ total marbles
= 4/12 = 1/3
Answer:
4 / 12 or 1/3
Step-by-step explanation:
The total is 3 blue, 4 red and 5 green marbles which is 12 marbles altogether.
There is exactly 4 marbles out of the 12 marbles that are red so the probability of choosing a red is 4 / 12 or 1/3
A closet contains n pairs of shoes. If 2r shoes are chosen at random, (where 2r < n), what is the probability that there will be
a) no complete pair
b) Exactly one complete pair
c) Exactly 2 complete pair
Answers
2
r
shoes. How many ways are there to avoid a pair? The pairs represented in our sample can be chosen in (2)
(
n
2
r
)
ways. From each chosen pair, we can choose the left shoe or the right shoe. There are 22
2
2
r
ways to do this. So of the (22)
(
2
n
2
r
)
equally likely ways to choose 2
2
r
shoes, (2)22
(
n
2
r
)
2
2
r
are "favourable."
Another way: A perhaps more natural way to attack the problem is to imagine choosing the shoes one at a time. The probability that the second shoe chosen does not match the first is 2−22−1
2
n
−
2
2
n
−
1
. Given that this has happened, the probability the next shoe does not match either of the first two is 2−42−2
2
n
−
4
2
n
−
2
. Given that there is no match so far, the probability the next shoe does not match any of the first three is 2−62−3
2
n
−
6
2
n
−
3
. Continue. We get a product, which looks a little nicer if we start it with the term 22
2
n
2
n
. So an answer is
22⋅2−22−1⋅2−42−2⋅2−62−3⋯2−4+22−2+1.
2
n
2
n
⋅
2
n
−
2
2
n
−
1
⋅
2
n
−
4
2
n
−
2
⋅
2
n
−
6
2
n
−
3
⋯
2
n
−
4
r
+
2
2
n
−
2
r
+
1
.
This can be expressed more compactly in various ways.
Probability geometry question 20 points and brainiest
Hector plans to randomly draw a card from a standard deck of cards, record the result, return the card to the deck, shuffle the deck, and randomly draw another card. So, he will draw a total of 2 cards.
What is the probability that he draws a 2, and then a 4?
Answers
There are 4 fours in a deck so 4/52=1/13
1/13 times 1/13 = 1/169
Or .0059
Select the two values of x that are roots of this equation. (This is for apex by the way)
x^2-5x+5=0
Answers
Answer:
Step-by-step explanation:
Find the discriminant, b^2-4ac: Here a = 1, b = -5 and c = 5.
Then the discriminant is (-5)^2-4(1)(5) = 5, and so there are 2 real, different roots. The roots are:
-(-5) ±√5
x = ----------------, which correspond to answers A and C.
2(1)
The roots of the equation will be (5 - √5) / 2 and (5 + √5) / 2. Then the correct options are A and C.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
The quadratic equation is given below.
x² - 5x + 5 = 0
Then the root of the equation is given as
[tex]\rm x = \dfrac{ - (-5) \pm \sqrt{(-5)^2 - 4*1*5}}{2*1}\\\\x = \dfrac{5 \pm \sqrt{25-20}}{2}\\\\x = \dfrac{5 \pm \sqrt5}{2}\\\\x = \dfrac{5 - \sqrt5}{2}, \dfrac{5 + \sqrt5}{2}[/tex]
Thus, the correct options are A and C.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
#SPJ2
Fit a quadratic function to these three points (-1, -11) (0,-3) and (3,-27)
Answers
ANSWER
[tex]y = - 4 {x}^{2} + 4x - 3[/tex]
EXPLANATION
Let the quadratic function be
[tex]y = a {x}^{2} + bx + c[/tex]
We substitute each point to find the constants, a,b, and c.
Substitute: (x=0,y=-3)
[tex] - 3 = a {(0)}^{2} + b(0) + c[/tex]
[tex] \implies \: c = - 3...(1)[/tex]
Substitute: (x=-1,y=-11) and c=-3
[tex] - 11 = a {( - 1)}^{2} + b( - 1) + - 3[/tex]
[tex] \implies \: - 11 = a - b - 3[/tex]
[tex] \implies \: a - b = - 8...(2)[/tex]
Substitute: (x=3,y=-27) and c=-3
[tex] -27= a {( 3)}^{2} + b( 3) + - 3[/tex]
[tex] \implies \: - 27 = 9a + 3b - 3[/tex]
[tex]\implies \: 3a + b = - 8...(3)[/tex]
Add equations (3) and (2)
[tex]3a + a = - 8 + - 8[/tex]
[tex]4a = - 16[/tex]
[tex]a = - 4[/tex]
Put a=-4 in equation (2)
[tex] - 4 - b = - 8[/tex]
[tex] - b = - 8 + 4 [/tex]
[tex] - b = - 4[/tex]
[tex]b = 4[/tex]
The quadratic equation is
[tex]y = - 4 {x}^{2} + 4x - 3[/tex]
Final answer:
To fit a quadratic function to the three given points, we use the general form y = ax² + bx + c and set up a system of equations. Solving the system yields the function y = -2x² + 6x - 3.
Explanation:
To fit a quadratic function to the points (-1, -11), (0, -3), and (3, -27), we need to find a function of the form y = ax² + bx + c where a, b, and c are constants. We will set up three equations based on the given points:
-11 = a(-1)² + b(-1) + c-3 = a(0)² + b(0) + c-27 = a(3)² + b(3) + cSolving these equations gives us a system:
a - b + c = -11c = -39a + 3b + c = -27From the second equation, we have c = -3. Inserting that into the first and third equations:
a - b = -89a + 3b = -24Solving this system gives us a = -2 and b = 6.
Therefore, the quadratic function fitting the points is y = -2x² + 6x - 3.
which situation best represents the equation below?
26= 179 - 9k
A. A pool of water has gallons of water in it. It is filled at a rate of 9 gallons per minute, until there are 179 gallons.
B. A dairy farm has 179 cows in it. All of the cows are placed in groups of nine. There are 26 groups of cows.
C. There were 26 boxes for delivery at the post office one morning. By the end of the day, 179 boxes had been added to the delivery pile. The boxes will be delivered in groups of k.
D. A school assembly has 179 students in it. Nine teachers escort k number of students out of the assembly, until there are 26 students remaining.
Answers
D ! :)
Got it wrong, and it showed me the correct answer. IT IS NOT B.
A school assembly has 179 students in it. Nine teachers escort k number of students out of the assembly, until there are 26 students remaining
Model equation for the situationThe equation for the situation is given as;
26 = 179 - 9k
From the equation above, 26 is the result of the difference between "179" and "9k".
Thus, the situtation that bets represent the equation is, a school assembly has 179 students in it. Nine teachers escort k number of students out of the assembly, until there are 26 students remaining.
Learn more about model equation here: https://brainly.com/question/25987747
The area of parking lot is 1710 square meters. A car requires 5 square meters and a bus requires 32 square meters of space. There can be at most 189 vehicles parked at one time. Of the cost to park a car is $2.00 and a bus is $6.00, how many buses should be in the lot to maximize income?
Answers
Answer:
To maximize the income should be 28 buses and 160 cars
Step-by-step explanation:
Let
x-----> the number of cars
y ----> the number of bus
we know that
[tex]5x+32y\leq1,710[/tex] ------> inequality A
[tex]x+y\leq 189[/tex] ----> inequality B
The function of the cost to maximize is equal to
[tex]C=2x+6y[/tex]
Solve the system of inequalities by graphing
The solution is the shaded area
see the attached figure
The vertices of the solution are
(0,0),(0,53),(160,28),(189,0)
Verify
(0,53)
[tex]C=2(0)+6(53)=\$318[/tex]
(160,28)
[tex]C=2(160)+6(28)=\$488[/tex]
therefore
To maximize the income should be 28 buses and 160 cars
Answer:
There should be 30 buses in the lot to max out income
Step-by-step explanation:
What is the product of (2x - 5)(2x + 5)?
Answers
Answer:
4x2−25
Step-by-step explanation:
yes
Answer:
4x^2-25
Step-by-step explanation:
What is the diameter of the circle?
[1] units
Answers
ANSWER
The diameter is 8 units.
EXPLANATION
A portion of the y-axis is serving as the diameter of the circle.
The portion of the y-axis that intersects the circle at two points.
We can use these intercepts to find the diameter.
There is a y-intercept at y=2 and y=-6.
The distance between the two intercepts is the diameter of the circle.
[tex] |2 - - 6| = |2 + 6| = 8[/tex]
Therefore the radius is 8 units.
Answer: [tex]diameter=8\ units[/tex]
Step-by-step explanation:
By definition, the radius of a circle is the distance from its center to its edge.
We need to remember that diameter of a circle is twice the radius:
[tex]diameter=2(radius)[/tex]
Then, you can observe in the figure that there are 4 units between the center of this circle and its edge, therefore the radius is:
[tex]radius=4\ units[/tex]
Finally, you need to substitute the radius calculated into the formula [tex]diameter=2*radius[/tex] to find the value of the diameter of this circle. Then, this is:
[tex]diameter=2(4\ units)[/tex]
[tex]diameter=8\ units[/tex]
If there are 825 students at Cherry Hill High School and 4 out of every 5 students voted in the student council election, how many students voted?
Answers
Explanation:
First you need to fine 1/5 of the students, which is 165, since 4/5 of them voted you multiply 165 by 4. Giving you the answer of 660 students voted.
Hope this helps :)
brainliest? Lol
Answer:
Step-by-step explanation:
Formula
Number of students voting = (ratio of those voting / total) * total students.
Givens
ratio: those voting = 4
ratio: total number = 5
total students = 825
Solution
Voting students = (4/5)*825
voting students = 0.8 * 825
voting students = 660
A line passes through (3, -2) and (6,2). Write an equation for the line in point-slope form.
Rewrite the equation in standard form using integers.
Answers
Answer:
4x - 3y -18 = 0 or y = 4x/3 - 6
Step-by-step explanation:
We will have to find the slope of the line first
The formula for slope:
[tex]m =\frac{y_{2}- y_{1} }{x_{2} -x_{1} } \\m= \frac{-2-2}{3-6}\\ =\frac{-4}{-3}\\ =\frac{4}{3}[/tex]
The standard form of equation of a line is:
y = mx + b
We know m,
So the equation will be:
[tex]y= \frac{4}{3}x+b[/tex]
We have to find the value of b, for that we will put any one of the point in the equation
So, putting (6,2)
2 = 4/3 * 6 + b
2 = 8 +b
b = -6
Putting the value of m and b in the standard form of equation of line,
[tex]y = mx + b\\y = \frac{4}{3}x+(-6)\\y = \frac{4}{3} x - 6\\Multiplying\ both\ sides\ by\ 3\\3y = 4x - 18\\4x - 3y -18 = 0[/tex] ..
Please help.
m.XYZ =
radians. Covert this radian measure to its equivalent measure in degrees.
Answers
Answer:
Multiply 5π/6 by 180/π, you will get answer 150°.
Answer: [tex]150^{\circ}[/tex]
Step-by-step explanation:
To convert a radian measure to degrees , we generally multiply it by 180° and divide it by [tex]\pi[/tex].
Given : [tex]m. \overarc{XYZ}=\dfrac{5\pi}{6}\text{radian}[/tex]
Then, In degrees it should be
[tex]m. \overarc{XYZ}=\dfrac{5\pi}{6}\times\dfrac{180^{\circ}}{\pi}\\\\\Rightarrow m.\overarc{XYZ}=150^{\circ}[/tex]
Hence, the correct answer is [tex]150^{\circ}[/tex].
Anyone know the answer?
Answers
Answer:
A 4955.30
Step-by-step explanation:
A = P ( 1+i) ^ t
where A is the amount in the account
P is the principal
i is the interest rate
and t is the time in years
A = 4000(1+.055)^4
A = 4000(1.055)^4
A = 4955.2986025
Rounding to the nearest cent
A = 4955.30
Organic apples are on special for $1.50 per pound. Does total cost vary
inversely or directly with the number of pounds purchased? Find the cost of
3.4 pounds of apples.
A. Inversely: $5.10
B. Directly; $5.10
C. Inversely: $2.27
D. Directly; $2.27
Answers
Answer:
B: Directly; $5.10
Step-by-step explanation:
1 pound of apples = $1.50
so
3.4 pounds of apples = $1.50 x 3.4
=$5.10
Line GH contains points (-2,6) and H (5,-3). What is the slope of GH
Answers
Answer:
-9/7
Step-by-step explanation:
To find the slope given 2 points, we use the formula
m = (y2-y1)/(x2-x1)
where (x1,y2) and (x2,y2) are the two points
m = (-3-6)/(5--2)
m = (-3-6)/(5+2)
= -9/7
Answer:
y=-1.3x+3.4
Step-by-step explanation:
Find the x-intercepts of the parabola with
vertex (-3,-14) and y-intercept (0,13).
Write your answer in this form: (X1,Y1), (X2,42).
If necessary, round to the nearest hundredth.
Answers
The x-intercepts of the parabola are [tex]\(x = -3 + \sqrt{\frac{14}{3}}\) and \(x = -3 - \sqrt{\frac{14}{3}}\).[/tex]
To find the x-intercepts of the parabola, we need to set y=0 in the equation of the parabola and solve for x.
Given that the vertex of the parabola is [tex]\((-3, -14)\),[/tex] the equation of the parabola can be expressed in the form [tex]\(y = a(x - h)^2 + k\)[/tex], where [tex]\((h, k)\)[/tex]represents the vertex and a is the coefficient determining the direction and width of the parabola.
Using the vertex form, we have:
[tex]\[ y = a(x + 3)^2 - 14 \][/tex]
We know that the y-intercept is (0,13) so when x=0, y=13:
[tex]\[ 13 = a(0 + 3)^2 - 14 \]\[ 13 = a(9) - 14 \]\[ 13 = 9a - 14 \]\[ 9a = 13 + 14 \][/tex]
[tex]\[ 9a = 27 \]\[ a = \frac{27}{9} \]\[ a = 3 \][/tex]
So, the equation of the parabola is:
[tex]\[ y = 3(x + 3)^2 - 14 \][/tex]
Now, to find the x-intercepts, we set y=0:
[tex]\[ 0 = 3(x + 3)^2 - 14 \]\[ 3(x + 3)^2 = 14 \]\[ (x + 3)^2 = \frac{14}{3} \][/tex]
Now, we take the square root of both sides:
[tex]\[ x + 3 = \pm \sqrt{\frac{14}{3}} \][/tex]
Which is not an equation of the line that passes through the points (1, 1) and (5, 5)?
Answers
The correct answer is option d) ( y = -x + 2 ).
Let's analyze each option to determine which equation does not represent the line passing through the points (1, 1) and (5, 5).
a) ( y = x ): This equation represents a line with a slope of 1 and passes through the origin. To check if it passes through (1, 1) and (5, 5), we substitute the coordinates into the equation:
- For (1, 1): ( 1 = 1 ) (True)
- For (5, 5): ( 5 = 5 ) (True)
The equation ( y = x ) is consistent with the given points.
b) ( y = 2x - 1 ): This equation represents a line with a slope of 2 and a y-intercept of -1. Checking with the given points:
- For (1, 1): ( 1 = 2(1) - 1 ) (True)
- For (5, 5): ( 5 = 2(5) - 1 ) (True)
The equation ( y = 2x - 1 ) is consistent with the given points.
c) ( 2y = 2x ): This equation can be simplified to ( y = x ), which we have already determined is consistent with the points.
d) ( y = -x + 2 ): Checking with the given points:
- For (1, 1): ( 1 = -1 + 2 ) (True)
- For (5, 5): ( 5 = -5 + 2 ) (False)
The equation ( y = -x + 2 ) does not pass through the point (5, 5).
QUESTION
Which of the following equations does not represent the line passing through the points (1, 1) and (5, 5)?
a) ( y = x )
b) ( y = 2x - 1 )
c) ( 2y = 2x )
d) ( y = -x + 2 )
factorise 49 a^2 + 4b^2 +9c^2 -28ab + 12bc- 42 ac
Answers
= (7a)^2 + (-2b)^2 + (-3c)^2 + (2*7a*-2b) + (2*-2b*-3c) + (2*-3c*7a)
=(7a - 2b - 3c)^2 (Answer)
The equation y=1/2x+4 is graphed. Which equation would intersect this line at the point (4,6). A: y=6. B:y=6x. C: y=4. Dy=4x
Answers
Answer:
4
Step-by-step explanation:
hdhfy+_-_+4-_+_6+_-$(64&4
Round 2767545 to the nearest ten
Answers
Answer:
2767550
Step-by-step explanation:
looking at the number 2767545
reading number from right to left
the most right number is 0 there that is the ones digit
next right number is 4 that is the tens digit (that is what we are rounding to. we use the one right of the ten's digit to decide to round up or not. You round up if is 5 or more. So since the ones digit is 5, that is 5 or more. so we round the 4 in the ten's to a 5 and make one's 0.
---
If someone side round to nearest hundreds: it would be 2767500 because the digit directly to the right of it was a 4
Answer:
2767550.
Step-by-step explanation:
Th ten's digit is 4 and as the units digit is 5 we round up. That gives us
2767550.
A triangular tile measures 4 4 cm along its base and 3 3 cm tall. What is the area taken up by the tile? The area is __________ cm 2 cm2 .
Answers
Answer:
Step-by-step explanation:
Area of a triangle is A=(1/2)*base*height
A = (1/2)*(4.4)*(3.3) = 0.726 cm2
Can someone please help me out with this question??
Answers
Answer:
see explanation
Step-by-step explanation:
The error is in Step 1, by not adding 2 on the left side, that is
Given
7.7 = w - 2 ( add 2 to both sides )
7.7 + 2 = w - 2 + 2
9.7 = w
The soccer teams in a club league are ordering new jerseys. The cost is $18 per jersey plus $10 shipping per team.
There are 7 teams, each with an equal number of players. The total cost to order jerseys for all the teams is
$2,590. Which equation can be used to determine x, the number of players on each team?
Answers
Answer:
10*7+ 18x *7 =2590
or 70 + 18x*7 =2590
Step-by-step explanation:
10*7 to find out how much the shipping costs for the 7 teams altogether
18*x because you need to find how much the jerseys cost for all the soccer teams
then multiply it by 7 to find how many players on each team
when you solve for x you get 20
there are 20 players on each on team.
Final answer:
To determine the number of players on each soccer team, given the total jersey order cost for all teams, the equation 7(18x) + 7(10) = 2590 can be used, where x represents the number of players.
Explanation:
The question asks which equation can be used to determine x, the number of players on each team, given that the total cost to order jerseys for all the teams is $2,590, the cost per jersey is $18, and the shipping per team is $10, with 7 teams ordering. To find the equation, we first outline the total costs involved: the cost of the jerseys plus the shipping cost for all teams.
Let's denote x as the number of players on each team.
The cost for jerseys for one team would be 18x (since each jersey costs $18), and the cost to outfit all 7 teams would be 7 times that amount, plus the total shipping cost for all teams (7 teams times $10 per team).
So, the equation can be represented as:
7(18x) + 7(10) = 2590
This equation accounts for both the per-jersey cost and the fixed shipping fee for each team, totaling up to the overall cost reported.
Children play a form of hopscotch called Jumby. The pattern for the game is as given below.
Find the area of the pattern simplest in form.
(SHOW WORK)
Answers
Answer:
[tex]7t^2+21t[/tex]Explanation:
The pattern of the game consists on 7 congruent (necessary assumption) rectangles.
The dimensions of such congruent rectangles are given for the rectangle number 6: lenght = t + 3 (a binomial) and width = t (a monomial).
So, the area of each rectangle is found as the product of a monomial and a binomial:
[tex]t(t+3)[/tex]Apply distributive property:
[tex]t^2+3t[/tex]Since that is the area on one rectangle, you have to mulply by the number of reactangles (7):
[tex]7(t^2+3t)=7t^2+21t[/tex] ← answerAnswer:
Step-by-step explanation:
Given is a form of hopscotch called Jumby.
The pattern consists of 7 identical rectangles with length t+3 and width 5
To find area it is necessary to add the totals of all 7 rectangles
OR area = 7 * area of one rectangle
Area of one rectangle [tex]= lw \\= t(t+3)\\= t^2+3t[/tex]
Hence area of whole figure = [tex]7(t^2+3t)\\=7t^2+21t[/tex]