The equation in slope-intercept form for the line with slope -7 and y-intercept 8 is y = -7x + 8. To graph the line, plot the y-intercept and use the slope to find other points on the line, connecting them to create the line.
Explanation:To write an equation in slope-intercept form, we use the formula y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -7 and the y-intercept is 8, so the equation is y = -7x + 8.
To graph the line, first plot the y-intercept, which is the point (0,8). Then, use the slope to find other points on the line. Since the slope is -7, for every increase of 1 on the horizontal axis, the line decreases by 7 on the vertical axis. So, for example, if we move 1 unit to the right from the y-intercept, we go down 7 units. Plot these additional points and connect them to create the line.
ASAP PLEASE ANSWER quadrilateral ABCD is dilated at center (0,0) with scale factor 1/2 to form quadrilateral A'B'C'D'. wha is the length of A'B'?
a. sqrt5
b.2
c.10
d.2sqrt5
Answer:
[tex]|A'B'|=\sqrt{5}[/tex]
Step-by-step explanation:
The points A and B have coordinates at (0,4) and (4,2) respectively.
The distance formula can be used to find the length of AB.
[tex]|AB|=\sqrt{(4-0)^2+(2-4)^2}[/tex]
[tex]|AB|=\sqrt{(4)^2+(-2)^2}[/tex]
[tex]|AB|=\sqrt{16+4}[/tex]
[tex]|AB|=\sqrt{20}[/tex]
[tex]|AB|=2\sqrt{5}[/tex]
Since quadrilateral ABCD was enlarged with a scale factor of [tex]\frac{1}{2}[/tex].
The length of A'B' is
[tex]\frac{1}{2}|AB|[/tex]
[tex]=\frac{1}{2}\times2\sqrt{5}[/tex]
[tex]\therefore |A'B'|=\sqrt{5}[/tex]
The quadrilateral ABCD is dilated at the center (0,0) with a scale factor of 1/2. So, after the dilation the length of A'B' is [tex]\sqrt{5}[/tex] and this can be determined by using the formula of length between two points.
Given :
Quadrilateral ABCD is dilated at the center (0,0) with a scale factor of 1/2 to form quadrilateral A'B'C'D'.Points - A(0,4), B(4,2), C(4,-4), and D(-2,-2).Given that the quadrilateral ABCD is dilated at the center (0,0) with a scale factor of 1/2. So the points of the quadrilateral ABCD becomes:
[tex]\rm A(0,4) \to A'(0\times \dfrac{1}{2},4\times \dfrac{1}{2}) = A'(0,2)[/tex]
[tex]\rm B(4,2) \to B'(4\times \dfrac{1}{2},2\times \dfrac{1}{2}) = B'(2,1)[/tex]
[tex]\rm C(4,-4) \to C'(4\times \dfrac{1}{2},-4\times \dfrac{1}{2}) = C'(2,-2)[/tex]
[tex]\rm D(-2,-2) \to D'(-2\times \dfrac{1}{2},-2\times \dfrac{1}{2}) = D'(-1,-1)[/tex]
Now, the length of A'B' is given by:
[tex]\rm AB=\sqrt{(4-0)^2+(2-4)^2}[/tex]
[tex]\rm AB=\sqrt{4^2+(-2)^2}[/tex]
[tex]\rm AB=\sqrt{20}[/tex]
[tex]\rm AB = 2\sqrt{5}[/tex]
[tex]\rm A'B' = \dfrac{1}{2}AB[/tex]
[tex]\rm A'B' = \sqrt{5}[/tex]
Therefore, the correct option is a).
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Compare the two leagues and predict which league would be more likely to win a game.
Interpreting Data( written response)
Answer:
The team from the second league would be more likey to win becasue teams in taht league have more consistent, and mostly greater, numbers of home runs and winning games. Data for teams in the second league also do not show any outliers.
Comparing the data of wins and home runs for the 2 leagues given in the table, we can predict that;
The second league will be more likely to win a game than the first league.
This is about data comparisons and interpretation.
Now, from the 2 tables, we see 2 columns namely HR and W;
HR; This means Home Runs. This is gotten by hitting the ball in a baseball game over the outfield fence that stands in-between the foul poles and does not touch the ground first before going over the outfield fence. This means more home runs denotes more points.
W; This is the number of wins each team possesses. The more the games won, the more the points and the more chances of winning the league.
Now, from the above analysis, we have seen that More HR( Home runs) and more W(Wins) means more points and better chances of winning the league.
Comparing the two leagues, it is clear that second league has teams with more Home runs and more Wins than the first League.
In conclusion, we can say that The second league will be more likely to win a game than the first league.
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Write the expression in terms of cosine. Please help.
I would assume that they want a cosine value that would give the same answer. sin(30°) is equal to 1/2
Therefore cos(×) = 1/2
x = arccos(1/2)
x=60
cos(60°)
Answer:
cos60°
Step-by-step explanation:
Using the cofunction identity
sinx° = cos(90 - x)°
sin30° = cos(90 - 30)° = cos60°
5 - ___________ a0 = 14
Answer:
Final answer is [tex]a_0=-9[/tex]
Step-by-step explanation:
Given equation is [tex]5-a_0=14[/tex]
Now we need to solve the given equation 5-a_0=14 for the unknown variable [tex]a_0[/tex] .
We can do that by isolating [tex]a_0[/tex]
To isolate a_0, let's subtract 5 from both sides
[tex]5-a_0-5=14-5[/tex]
[tex]-a_0=9[/tex]
multiply both sides by -1
[tex]-a_0(-1)=9(-1)[/tex]
[tex]a_0=-9[/tex]
Hence final answer is [tex]a_0=-9[/tex]
Given a slope of 1/2 and a y-intercept of -4. What is the equation of the line in slope intercept form?
Answer:y=\frac{1}{2} x-4
Step-by-step explanation:
Slope intercept form of the equation of a line is y = mx+b where m is the slope and b is the y intercept. Plugging in 1/2 for m and -4 for b gives y = 1/2x + (-4) then simplifying adding a negative means subtracting.
The equation of the line is y = (1/2)x - 4, where the slope is 1/2 and the y-intercept is -4.
Explanation:
The equation of a line in slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept.
In this case, the slope is 1/2 and the y-intercept is -4, so the equation of the line is y = (1/2)x - 4.
The slope of 1/2 means that for every increase of 1 on the horizontal axis, there is a corresponding increase of 1/2 on the vertical axis.
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20 points!!!! Please answer this! This is Surface Area! I’ve been working on this. I know what to do but I’m just confused at the same time. When you answer this question please show me the work or how you got the answer. It will make my life more easier!
Answer:
SA: 62in
Step-by-step explanation:
make it into a net and find the area of each piece
plzzz help me with this question!!! look at picture
Answer:
Option C
Step-by-step explanation:
Option C. Is the correct option.
The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. For that reason, if we multiply the number (2^1/4)(2^1/4)(2^1/4)(2^1/4) the result will be 2^(1/4+1/4+1/4+1/4) = 2^(4/4) = 2.
What number is equivalent to |-16|
-1/16
1/16
-16
16
HelPppppp
16
absolute value is always positive
i want to say 16 or 1/16. i’m sure it’s not a negative though.
Four times a number, decreased by eight equals twelve. What is the number?
Let the number be x.
4x - 8 =12
4x =12 +8 ( you bring the eight over to the 12, it becomes positive )
4x = 20
x = 20÷4
x = 5
The problem is a basic algebra equation. It translates to 4x - 8 = 12, which can be solved by adding 8 to both sides and then dividing by 4 to get x=5. The answer is 5.
Explanation:The subject of this question is Mathematics, specifically algebra. To solve this equation, start by translating the problem into a mathematical expression. This can be done as follows: 4 times a number is represented as 4x, then decreased by eight is -8 and the equation equals twelve (12).
Therefore, the equation is 4x - 8 = 12. To solve for x, you can start by adding 8 to both sides of the equation obtaining 4x = 20. Lastly, divide both sides by 4 to find x, which gives x = 5.
Therefore, the number that meets the condition '4 times a number, decreased by 8 equals 12' is 5.
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PLEASE HELP WILL GIVE 10 POINTS. HURRYY
B. -4-1. -4-1=-5, which is the amount of you count the spaces in between.
Hope this helps!
Miss Balcon works 7 1/2 hours each day, 5 days a week as a secretary at a Christian school. How many hours would she work in 4 weeks?
Answer:
150
Step-by-step explanation:
Final answer:
Miss Balcon would work 150 hours in 4 weeks as a secretary at a Christian school.
Explanation:
In order to find out how many hours Miss Balcon would work in 4 weeks, we need to first calculate the number of hours she works in a week. She works 7 1/2 hours each day, and since there are 5 days in a week, she works a total of 7 1/2 x 5 = 37 1/2 hours in a week.
Now, to find out how many hours she would work in 4 weeks, we can multiply the number of hours she works in a week by 4. So, 37 1/2 x 4 = 150 hours.
Therefore, Miss Balcon would work 150 hours in 4 weeks.
Convert the complex number z = -12 + 5i from rectangular form to polar form.
Answer:
[tex]z=13(\cos 157\degree +i\sin157\degree)[/tex]
Step-by-step explanation:
The given complex number is
[tex]z=-12+5i[/tex]
The polar form of this complex number is;
[tex]z=r(\cos \theta +i\sin \theta)[/tex], where
[tex]r=\sqrt{(-12)^2+5^2}[/tex]
[tex]r=\sqrt{144+25}=\sqrt{169}=13[/tex]
and
[tex]\theta =\tan^{-1}(\frac{5}{-12})[/tex]
This implies that;
[tex]\theta=157\degree[/tex] to the nearest degree.
Hence the polar form is
[tex]z=13(\cos 157\degree +i\sin157\degree)[/tex]
Jorge is building a table out of boards that are 3.75 inches wide he wants the table to be at least 36 inches wide what is the least number of boards he can use
Answer:
10
Step-by-step explanation:
If a board is 3.75 inches wide and he wants the table to be at least 36 inches wide, then we need to use the rule of three:
If a 1 board ---------------------------> 3.75 inches wide
x ---------------------------> 36 inches wide
x = (36 inches wide * 1 board)/3.75
x= 9.6 boards.
Like we cannot buy 9.6 boards, then we conclude that the least number of boards he can use is 10.
Matthew pays his employees $15 per hour for a 40 hour week and pays overtime at a rate of time and a half for hours over 40 hours in the same week. If Sophia works 45 hours this week, calculate what her gross wages will be.
A
$ 675.00
B
$ 712.50
C
$ 900.00
D
$ 1,012.50
B. 712.50
40hrs x $15/hr= $600
5hrs OT x time & a half pay ($22.50)= $112.50
$600 + $112.50= $712.50
wich of these terms does not described polygon ABC
the answer is d i think
k-k+k-3 what is this answer?
Answer:
k-3
Step-by-step explanation:
Eliminate the opposites
K-k+k3
= k-3
The given algebraic expression simplifies to k - 3. This means, for any value of 'k', the result would be 'k' minus 3.
Explanation:The problem provided is k-k+k-3. In this case, 'k' is a variable, which is essentially an unknown number. When you subtract a variable (k) from itself, you get zero. Therefore, k - k equals zero. Adding k back again, we return to k itself. Hence, k - k + k - 3 simplifies to k - 3. That is, whatever value 'k' is, you have to subtract 3 from it to solve this equation.
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Martina is 3 inches less than twice as tall as her little brother . Write an expression for Martina’s height . How tall is Martina if her little brother is 28 inches tall?
Answer:
Expression: 2x-3
Martina's height if her little brother is 28 inches: 53 inches
Step-by-step explanation:
To write the expression, first read the problem. Martina is twice as tall as her little brother, minus 3. If x represents Martina's little brother's height, the equation will be 2x-3, since she's 3 inches shorter than twice the height of her little brother.
The question says that her little brother is 28 inches tall. Since x represents Martina's little brother's height, simply plug x into our expression.
2x-3
2(28)-3
56-3
53
Therefore, if Martina's little brother was 28 inches tall, Martina would be 53 inches tall. i hope this helps! :)
This answer involves the creation of a mathematical expression based on the given information and substituting the known value to find the unknown variable. The mathematical expression is 'Martina's Height = 2 * (Brother's height) - 3 inches.' When the brother's height is 28 inches, we get Martina's height as 53 inches.
Explanation:The question relates to writing and solving expressions in Mathematics. To find how tall Martina is, we need to first write down an expression depicting the statement. According to the given statement, we can write:
Martina's Height = 2 * (Brother's height) - 3 inches
If her little brother is 28 inches tall, we substitute 28 into the expression:
Martina's Height = 2 * (28) - 3 inches
This implies:
Martina's Height = 56 - 3 inches = 53 inches
Therefore, Martina is 53 inches tall if her little brother is 28 inches tall.
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2. A circular clock face has a diameter of 31 cm. What is the area of the
clock face?
A. 754.4 cm2
B.
3017.5 cm2
48.7 cm2
D.
961 cm2
Answer:
The answer is 754.4 cm²
Step-by-step explanation:
a = r²π
a = (31/2)²π
a ≈ 754.4
The area of the clock face is 754.4 cm²
What is an area?
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
The area of the clock will be calculated as:-
a = r²π
a = (31/2)²π
a ≈ 754.4
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A cube-shaped gift is 11 centimeters long. What is the least amount of wrapping paper you need to wrap the gift?
You will need 721 centimeters of paper. This is because you take 11 and multiply it by 11 because a cube is equal in the length and the height. To find the total area of wrapping paper for one side you have to find the area. 11x11=121. Then you have 6 sides of the cube so you multiply 121x6=721 inches of wrapping paper to wrap the cube
Least amount of wrapping paper you need to wrap the gift = 726 cm²
What is total surface area of a cube?The total surface area of a cube is equal to six times the area of one side of the cube.
Given,
Side length of the cube = 11 cm
Area of one side of the cube = side²
Therefore, area of one side of the cube = 11² cm²
= 121 cm²
Total surface area of a cube = 6 × side²
= 6 × 121 cm²
= 726 cm²
Hence, least amount of wrapping paper you need to wrap the gift is 729 cm².
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If two ratio are equal they form a ___. I need help IMMEDIATELY. I am going to my grandmas and I need to finish quickly.
two ratios are equal and form a proportion.
Answer:
they form a proportion.
If r=12 and t=20, find S.
Answer:
d. 53.1°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you ...
Cos = Adjacent/Hypotenuse
You are given the lengths of t (hypotenuse) and r (adjacent to S), so you can find the angle from ...
cos(S) = r/t = 12/20
S = arccos(12/20) ≈ 53.1° . . . . . use the inverse cosine function
Answer:
d. 53.1
Step-by-step explanation:
this is the correct answer on ed-genuity, hope this helps! :)
find the explicit formula for the geometric sequence
2,6,18,54
Answer:
the explicit formula for the geometric sequence 2,6,18,54 is [tex]a_{n}=a_{1}.r^{n-1}[/tex]
2,6,18,54
Step-by-step explanation:
In the sequence given: 2,6,18,54
The common ration is 3 because
a₁ = 2
a₂= 2*3 =6
a₃ = (2*3)*3 = 2*3^2 = 18
a₄= (2*3*3)*3 =2*3^3 = 54
Here we see for a₂ 3 has power 1, for a₃ 3 has power 2 and so on.
So, the formula will be
[tex]a_{n}=a_{1}.r^{n-1}[/tex]
Here aₙ is the no of term.
a₁ is the first term of the sequence
and r is the common ratio among the sequence.
Answer:
b(n)=2⋅3 ^n−1
simplify 35 • 34 i want the answer for this one somebody
Answer:
1190
Step-by-step explanation:
35× 34 = 1190...._ hope it help ....have a nice day
Answer:
1190
Step-by-step explanation:
Since the dot means "X" or multiply, we multiply 35 by 34.
So 35*34 = 1190.
A way to quickly multiply 35 snd 34, is to split 34 into 2*17 and multiply the 2 by 35 first to get 70*17. Since 17*7=119, we get 70*17 to be 1190.
Tanya and three friends have saved $75 to help protect the pandas. If they each gave the same amount, how much did each person contribute?
Answer:
Step-by-step explanation:
If it is Tanya and 3 friends, there are 4 people in total. If they all contributed the saem amount, you would do 75/4= 18.75 dollars each
Factor out the greatest common factor
19. 2x^2+x
20. 12x^5-36x
21. 15x-5y^2
Step-by-step explanation:
[tex]19.\\2x^2=(2)\bold{(x)}(x)\\x=(1)\bold{(x)}\\2x^2+x=\bold{x}(2x+1)\\\\20.\\12x^5=\bold{(3)(4)(x)}(x)(x)(x)(x)\\36x=\bold{(3)(4)}(3)\bold{(x)}\\12x^5-36x=\bold{(3)(4)(x)}(x^4-3)=\bold{12x}(x^2-3)\\\\21.\\15x=(3)\bold{(5)}(x)\\5y^2=\bold{(5)}(y)(y)\\15x-5y^2=\bold{5}(3x-y^2)[/tex]
If 4 ounces of cheese cost $1.85, then how much will a pound cost?
Answer:
$7.40
Step-by-step explanation:
https://sciencing.com/calculate-cost-per-pound-7595889.html
use this
the ratio of Males to females in the crowd at a rock concert is 5:4
there are 360 males in the crowd how many females are there
Answer:
The number of females is 288.
Step-by-step explanation:
Let the number of females be x.
5:4 = 360:x
We can write the equal ratios as a proportion.
5/4 = 360/x
Cross multiply:
5x = 360 * 4
5x = 1440
x = 288
Answer: The number of females is 288.
Answer:
288 females
Step-by-step explanation:
We can write a proportion to solve, putting males over females
males 5 360
------------ = ------------ = -------------
females 4 x
Using cross products
5x = 360*4
5x =1440
Divide by 5
5x/5 = 1440/5
x = 288
There are 288 females
PLEASE HELP ME!!!! I WILL MARK BRAINLIEST!!!!!
THE QUESTIONIS IN THE PICTURE
Answer:
59 2/4
Step-by-step explanation:
Answer: 14.33 in³
Step-by-step explanation:
the volume of the box= L * W * H
V = 2 * 16/3 * 43/4 = 114.67 in³
114.67 takes up 8 servings
hence each serving will take up a volume of 114.67 in³/8 = 14.33 in³
Which expression can be used to find the value of x?
a) 23(sin55°)(sin85°)
b) 23(sin85°)sin55°
c) 23(sin55°)sin85°
d) (sin55°)(sin85°)23
Answer:
Step-by-step explanation:
It looks like you are using the sine law.
23/Sin(85) = x / sin(55) Cross multiply
23*sin(55) = x * sin(85)
23*sin(55)/sin(85) = x
None of these answers look correct. One thing you could try is
sin(85) = cos(90 - 85)
sin(85) = cos(5)
That would give you
x = sin(55)*cos(5)
If that is not among your choices you have no answer.
Find sin<c.
a. 12/13
b. 1
c. 13/12
d. 13/5
Answer:
a. 12/13
Step-by-step explanation:
For a right triangle, sin theta = opposite side/ hypotenuse
sin C = 24/26
Sin C = 12/13