Answer:
y=2x-8
Step-by-step explanation:
this is the answer for ttm
find the value of x that makes triangle LMN congruent to triangle NOL by SSS. A. 1 B. 2.3 C.6 D.7
Answer:
The correct answer is option C. 6
Step-by-step explanation:
It is given that, LMN congruent to triangle NOL by SSS
From the figure we can write, MN = LO
To find the value of x
we have, MN = LO
13x + 1 = 5x + 49
13x - 5x = 49 - 1
8x = 48
x = 48/8 = 6
Therefore x = 6
The correct answer is option C. 6
3m-n=km-8 solve for m
Answer:
m= -8-n/3-k
Step-by-step explanation:
(3a³ - 5b³) + ? a³+ ? b³ =(a³+b³)
Answer:
[tex]\boxed{-2; 6}[/tex]
Step-by-step explanation:
Think of this as an ordinary addition problem.
What must you add to 3a³ to get 1a³? Answer: add -2a³
3 + (-2) = 1
What must you add to -5b³ to get 1b³? Answer: add 6b³
-5 + 6 = 1
Then, the addition looks like this:
[tex]\begin{array}{rcr}3a^{3} & + & -5b^{3}\\\boxed{-2}a^{3} & + & \boxed{6}b^{3}\\a^{3} & + & b^{3\\\end{array}[/tex]
The numbers in the boxes are -2 and 6.
Surface area of prisms and cylinders
Answer:
12. 785.375 in^2
13. 20.666 in.
14. 9cm
Step-by-step explanation:
12. The surface area of a cylinder is given by the surface area of each end plus the surface area of the side:
Surface area = 2 π r^2 + 2 π r h
we know that r = diameter / 2 = 10in/2 = 5in
height = 20 in
Then:
Surface area = 2 π r^2 + 2 π r h = 2 π (5in)^2 + 2 π (5in) (20in) = 785.375 in^2
13. A rectangular prism has 2 ends and 4 sides. Opposite sides have the same area. The surface area is the sum of the areas of all six sides. Then we have:
Area=2b+ph
where:
b= area of a base = 6 in^2
p= perimeter of a base = 18 in
h= height of the prism
Area = 384 sqrt units
Solving for "h" we have:
Area=2b+ph -> h = (area - 2b)/p = 20.666 in
Then: Area= 20.666 in.
14. We know that the surface area of a cylinder is:
Surface area = 2 π r^2 + 2 π r h
Solving for "h" we have:
h = (Surface area - 2 π r^2)/ 2 π r
Where r = 4cm
Surface area = 326.73 cm^2
h = (Surface area-2πr^2)/2πr=(326.73 cm^2-2π(4cm)^2)/2π(4cm) = 9cm
h =9cm
how do you find the mean, median and range
for mean you add every number and divide it by the amount of numbers in the data set
for median you put the numbers in order and find the middle number, if there is no middle get the mean for the two middle numbers
range is basically the lowest and highest number
Answer:
Mean= Average
Median= Middle number after numbers are lined up in order
Mode= Repeated Number
Step-by-step explanation:
Given the following graph, would the point (1,2) Be a solution of the inequality? Explain.
ANSWER
The point (1,2) is not a solution
EXPLANATION
We could see that, the point (1,2) lies exactly on the boundary line.
Since the boundary line is dashed, the points on the boundary line are not solution.
Alternatively:
We deduce the inequality from the graph to be;
[tex]y < 3x - 1[/tex]
If the point (1,2) is a solution,then it must satisfy the inequality.
[tex]2 \: < \: 3(1) - 1[/tex]
[tex]2 \: < \: 2[/tex]
This statement is false.
Hence, the point (1,2) is not a solution.
The total cost of a suit and a coat is
$291. The coat cost twice as much as
the suit. How much did the coat cost?
The coat costs $194 while the suit costs $97
To find out how much the coat costs when a suit and a coat together cost $291 and the coat costs twice as much as the suit, we use algebra to deduce that the suit costs $97 and the coat costs $194.
To solve the problem of determining how much the coat costs when the total cost of a coat and a suit is $291, and the coat costs twice as much as the suit, we can set up a system of equations. Let's define s as the cost of the suit and c as the cost of the coat. Following the given information, we have two equations:
s + c = $291 (the total cost of the suit and the coat)c = 2s (the coat costs twice as much as the suit)Substituting the second equation into the first one gives us:
s + 2s = $291
Combining like terms, we get:
3s = $291
Dividing both sides by 3 to solve for s, we find:
s = $97
Now that we have the cost of the suit, we can use the second equation to find the cost of the coat:
c = 2s = 2 times $97 = $194
Therefore, the coat costs $194.
Which pattern folds into the triangular prism?
The letter choice is in the 2nd picture
Answer:
the answer will be the letter W
Step-by-step explanation:
Answer:
W
Step-by-step explanation:
Think about folding the two triangles up in W. You can then fold the outermost rectangles up to form a triangular prism.
Also, notice that the folded figure has two blue triangles and no other picture has two blue triangles besides W.
Emilio's savings account had a balance of $621.96 at the end of July. During August, he made three savings account deposits of $83.11, $52.89, and $307.84 and one withdrawal of $129.00. At the end of August his account earned $11.50 in interest. Will Emilio meet his savings account goal of $1,000 by September 1st?
A
Yes, and he will have $51.70 more than expected.
B
No, and he would still need $51.70.
C
Yes, and he will have $77.30 more than expected.
D
No, and he would still need $77.30.
Answer:
B. He would still need 51.50
Step-by-step explanation:
First I added up all the deposits Emilio made
so: 621.96+83.11+52.89+307.84=1065.8
then i subtract 129 from the total (1065.8)
which equals 936.8 and I add the 11.5 interest.
which equals 948.3 which is 51.70 less than 1000. Therefore, Emilio still need 51.70 in order to meet his saving accounts goal.
jerone has 2 ps4 and 3 xbox . a ps4 has 200 gigabytes and an xbox has 300. How many gigabytes of ram do each console have together
Answer:
500?
Step-by-step explaination
Wait don't you just add 200 and 300? Or is there some special equation for finding out gigabytes??
500 gigs.
Just add 200 + 300.
(I hope this question isn’t serious..)
may somebody help me please and thank you.
Answer:
See below
Step-by-step explanation:
Eleven
Remark
When you join the midpoints of two sides of a triangle, two properties are true.
The Line segment you have drawn is parallel to the third side.The Line segment you have drawn is 1/2 the size of the third side.For this question, the first property is not as important as the second.
it means that DE is 1/2 the size of GJ
Equation
4x + 5 = 1/2 * (3x + 25)
Solution
Multiply both sides by 2
2(4x + 5) = 2*[1/2*(3x + 25) Simplify
2(4x + 5) = 3x + 25 Remove the brackets on the left
8x + 10 = 3x + 25 Subtract 3x from both sides
8x-3x + 10 = 25 Subtract 10 from both sides.
5x = 25 - 10
5x = 15
x = 3 Answer
DE = 4*3 + 5
DE = 17 Answer
Ten
I wasn't quite sure if you wanted this done.
Givens
MP is the perpendicular bisector of NL
That makes the triangle isosceles.
ML = MN
PL = PN
Solution
ML = MN
7x + 9 = 11x -7 Subtract 11x from both sides.
7x - 11x + 9 = 11x-11x-7
-4x + 9 = - 7 Subtract 9 from both sides.
-4x + 9-9 = -7-9 Combine
-4x = - 16 Divide by - 4
-4x/-4 = - 16/-4
x = 4
==============
PL = PN
2y + 2 = 16 Subtract 2
2y + 2-2 = 16-2 Combine
2y = 14 Divide by 2
2y/2 = 14/2 Combine
y = 7
Amanda wants to examine the eating habits of 100 random students at lunch to determine how many students eat in the cafeteria
Answer:
well she can count up the average amount of tables, and the average amount of students in the school, later determine how many kids sit at the tables, for example, if there's five tables, and in each table there are five students, round those up and you have 25 students, only Amanda's answer would be much higher depending on the school and cafeteria
WILL GIVE BRAINLYEST Use the given information to write an equation of the circle.
center at (-7,-3), radius 2
Answer:
(x + 7)² + (y + 3)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 7, - 3) and r = 2, so
(x - (- 7))² + (y - (- 3))² = 2², that is
(x + 7)² + (y + 3)² = 4
Graph the relation shown in the table. Is the relation a function? Why or why not?
A; No; a vertical line passes through two graphed points.
B; Yes; no horizontal line passes through two graphed points.
C; No; a horizontal line passes through two graphed points.
D; Yes; no vertical line passes through two graphed points.
Answer: D; Yes; no vertical line passes through two graphed points.
Step-by-step explanation:
A graph is only considered a function if it passes the vertical line test. The vertical line test is basically when you put a vertical line on any point in the graph, it can’t pass through more than one graphed point. It can only touch the line once. That graph is considered a function because no two points touch a vertical line in the same x-value.
Answer:
Option D.
Step-by-step explanation:
A relation is a function if there exist a unique output for each input value. In other words a relation is a function if there exist a unique value of y for each value of x.
Vertical line test : According to the vertical line test if the graph of a relation intersect any vertical line at most once, then the relation is a function.
From the given table it clear that the ordered pairs of relation are(-5,-5), (-3,-3), (1,1) and (2,2).
For each value of x, there is a unique value of y. It means no vertical line passes through two graphed points. So, the given relation is a function.
Therefore, the correct option is D.
solve using the substitution method x = 10 y = 2x- 6
Answer:
y=14
Step-by-step explanation:
y=2(10)-6
y=14
If point (a, b) is in the second quadrant, in what quadrant is (a,-b). (-a, b), (-a,-b), (b, a)
Point (a, -b) will be in the third quadrant, (-a, b) will be in the first quadrant, (-a, -b) will be in the fourth quadrant, and (b, a) will be in the fourth quadrant.
Explanation:
The original point (a, b) is in the second quadrant, which means the value of 'a' is negative and 'b' is positive. For the point (a, -b), the x-coordinate remains the same (negative) and the y-coordinate becomes negative, so this point will be in the
third quadrant
. For (-a, b), both the x and y coordinates change sign. The 'x' becomes positive and 'y' remains positive, landing this point in the
first quadrant
. For (-a, -b), both coordinates are positive, which puts this point in the
fourth quadrant
. Lastly, for (b, a), the 'x' coordinate is positive and 'y' coordinate is negative (since 'a' is negative), which means this point will be in the
fourth quadrant
as well.
Learn more about Quadrants in Cartesian Coordinate System here:https://brainly.com/question/8278191
#SPJ3
Points resulting from the transformation of (a, b) in the second quadrant lie in various quadrants based on their signs. (a, -b) is in the fourth quadrant, (-a, b) is in the third quadrant, and both (-a, -b) and (b, a) are in the first quadrant.
Given that point (a, b) is in the second quadrant, we need to determine the quadrants of the points (a, -b), (-a, b), (-a, -b), and (b, a).
(a, -b): Since a is positive and -b is negative, this point lies in the fourth quadrant.(-a, b): Here, -a is negative and b remains positive, placing this point in the third quadrant.(-a, -b): Both -a and -b are negative, so this point lies in the first quadrant.(b, a): With b positive and a positive, this point would fall in the first quadrant.To summarize, if the original point is in the second quadrant of the Cartesian coordinate system, the points (a, -b) is in the fourth quadrant, (-a, b) is in the third quadrant, (-a, -b) is in the first quadrant, and (b, a) is in the first quadrant as well.
if the apothem is 13 square root 3 ft what is the area of the hexagon
Answer:
The area of the hexagon is [tex]1,014\sqrt{3}\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The area of a regular hexagon is equal to
[tex]A=\frac{1}{2}Pa[/tex]
where
P is the perimeter
a is the apothem
Find the length side of the hexagon
Let
b-----> the length side of the hexagon
Remember that
The formula to calculate the length side given the apothem is equal to
[tex]b=\frac{2a}{\sqrt{3}}[/tex]
we have
[tex]a=13\sqrt{3}\ ft[/tex]
substitute
[tex]b=\frac{2(13\sqrt{3})}{\sqrt{3}}[/tex]
[tex]b=26\ ft[/tex]
Find the perimeter P
[tex]P=6b=6(26)=156\ ft[/tex]
Find the area of the hexagon
[tex]A=\frac{1}{2}(156)(13\sqrt{3})=1,014\sqrt{3}\ ft^{2}[/tex]
You want to make a rectangular box, open at the top, by cutting the same size square corners out of a rectangular sheet of cardboard and then folding up the sides. The cardboard measures 11 in. by 14 in. What are the dimensions of the box that will have greatest volume if the possible corner cuts measure 1 in., 2 in., 3 in., or 4 in.?
Answer:
2 in.
Step-by-step explanation:
If we cut squares from all 4 corners and make it into a open rectangular box, the length of the square cut will become the height of the rectangular prism.
If we cut 1 inch side square:
The 11 inch side will become 11 - 2(1) = 9 and 14 inch side will become 14 - 2(1) = 12. Height is 1. So Volume would be 9 * 12 * 1 = 108
If we cut 2 inch side square:
The 11 inch side will become 11 - 2(2) = 7 and 14 inch side will become 14 - 2(2) = 10. Height is 2. So Volume would be 7 * 10 * 2 = 140
If we cut 3 inch side square:
The 11 inch side will become 11 - 2(3) = 5 and 14 inch side will become 14 - 2(3) = 8. Height is 3. So Volume would be 5 * 8 * 3 = 120
If we cut 4 inch side square:
The 11 inch side will become 11 - 2(4) = 3 and 14 inch side will become 14 - 2(4) = 6. Height is 4. So Volume would be 3 * 6 * 4 = 72
Hence, the greatest volume is when we cut 2 inch side square.
The answer is 2in hope this helps
how much more is 1.8 • 10^11 greater than 7.2 • 10^10
Answer:
1.8.10=1.80000000000
7.2.10=7.2000000000
Step-by-step explanation:
[tex]To find out how much 1.8 * 10^11 is greater than 7.2 * 10^10, you can subtract the two values:(1.8 * 10^11) - (7.2 * 10^10)To simplify this expression, you need to have the exponents match. You can do this by rewriting 7.2 * 10^10 as 0.72 * 10^11:(1.8 * 10^11) - (0.72 * 10^11)Now, subtract the coefficients:(1.8 - 0.72) * 10^11Calculate the subtraction:1.08 * 10^11So, 1.8 * 10^11 is 1.08 * 10^11 greater than 7.2 * 10^10[/tex]
Five times the sum of a number and 3 equals 4?
Answer:
5 * (n+3) = 4
n = -11/5
Step-by-step explanation:
5 * (n+3) = 4
Distribute
5n +15 =4
Subtract 15 from each side
5n +15-15 = 4-15
5n = -11
Divide by5
5n/5 = -11/5
n = -11/5
g(x)=4+1 what is g(3)
Answer:
13
Step-by-step explanation:
Assuming g(x)=4x+1, then g(3) is 4(3)+1=12+1=13. So g(3)=13.
Why might Jules use a Credit Card rather than a check to make a purchase
He does not have enough money in his checking account
Answer:
B
Step-by-step explanation:
the median and mean of these numbers:
8, 14, 13, 12, 14, 15
20 POINTS ANSWER FASTTT
Answer:
Mean : ≈ 12.7
Median: ≈ 13.5
Step-by-step explanation:
To find the mean you must add all the numbers and divide by the # of numbers in the set.
8+12+13+14+14+15 = 76
76/6 ≈ 12.7
To find the median you have to order the numbers from least to greatest, the middle number should be the median, but in this case two numbers are in the middle.
8, 12, 13, 14, 14, 15
So you have to add 14 and 13, which is 27.
Then divide by 2 which is ≈ 13.5
Write an equation of the line that is perpendicular to the line y = 1 2 x + 8 that passes through the point (4,6)
Answer:
[tex]\large\boxed{y=-2x+14}[/tex]
Step-by-step explanation:
[tex]\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=\dfrac{1}{2}x+8\to m_1=\dfrac{1}{2}.\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2.\\\\\text{The equation of the searched line:}\ y=-2x+b.\\\\\text{The line passes through }(4,\ 6).[/tex]
[tex]\text{Put thecoordinates of the point to the equation.}\ x=4,\ y=6:[/tex]
[tex]6=-2(4)+b\\\\6=-8+b\qquad\text{add 8 to both sides}\\\\b=14[/tex]
Answer:
B) y = -2x + 14
Step-by-step explanation:
Solution: y = -2x + 14. To solve this problem, first determine the slope of your line. Since perpendicular lines have slopes that are opposite reciprocals of each other, we know that the slope is -2. Then plug your slope (-2) and point (4,6) into the equation y = mx + b to solve for b. The resulting value for b is 14.
Answer Please!!!!!!!!!!!!!!!!!!!!!!!
Answer:
8/15 square inches
Step-by-step explanation:
Just multiply the 2 fractions to get the area.
A=L*W
A=area
L=length
W=width
Does each set of side lengths form a right triangle?
Answer: Read the explanation
Step-by-step explanation: (27+32)^2 does NOT equal 45^2, which means its not a right triangle.
(9+40)^2 DOES equals 41^2. Therefor making it a right triangle
Answer:
27ft, 32ft, 45ft : Not a Right triangle
9ft, 40ft,41ft: Right triangle
Step-by-step explanation:
45^2 (?) 27^2 + 32^2
2025 (?) 729 + 1024
2025 ≠ 1753; Not a Right triangle
41^2 (?) 9^2 + 40^2
1681 (?) = 81 + 1600
1681 = 1681 ; Right triangle
find the solutions to the equation by compelting the square x^2-6x=7
Answer:
The solution set is {-1, 7}
Step-by-step explanation:
Rewrite x^2-6x=7 as x^2 - 6x = 7.
Identify the coefficient of the x term; it is -6.
Halve this coeff (obtaining -3)
Square this result (obtaining 9)
Add 9 to x^2 - 6x and then subtract 9 from the result: x^2 - 6x + 9 - 9
Then we have:
x^2 - 6x + 9 - 9 = 7. Add 9 to both sides, obtaining
x^2 - 6x + 9 = 16
Rewrite x^2 - 6x + 9 as the square of a binomial: (x - 3)^2
Then we have
(x - 3)^2 = 16
Taking the square root of both sides, we get
x - 3 = ±4, so that: x = 3 + 4 = 7, and x = 3 - 4 = -1.
The solution set is {-1, 7}.
Answer:
To complete the square x^2-6x=7
We take the coefficient of X which is -6
divide it by 2 -3
square that number 9
then add it to both sides of the equation.
x^2 -6x + 9 = 16
(x -3) * (x -3) = 16
We take the square root of both sides:
a) x-3 = 4
b) x-3 = -4
Therefore, x = 7 and x = -1
Step-by-step explanation:
Find the slope that is parallel to the equation 2x +3y 15
b) Find the slope that is perpendicular to the equation 2x + 3y 15
Answer:
a) -2
b) 1/2
Step-by-step explanation:
2x + y = 15 Subtract 2x from both sides
y = -2x + 15 The slope is -2
Parallel lines have the same slope.
Perpendicular lines have negative inverse slopes.
-2 flips to 1/2
Make a box-and-whisker plot of the data.
Average daily temperatures in Tucson, Arizona, in December:
67, 57, 52, 51, 64, 58, 67, 58, 55, 59
Answer:
Step-by-step explanation:
First, we'll arrange the number sequence from lowest to highest - 0,50,50,51,52,55,57,57,58,58,58,58,59,60,62,63,64,66,67,67.
Second, we'll find the median Q2 - (58+58) / 2 = 58
Third, we'll take the middle numbers before the median as our lower quartile Q1 - (52+55) / 2 = 53.5
Fourth, we'll take the middle numbers after the median as our upper quartile Q3 - (62+63) / 2 = 62.5
write a recursive rule for the arithmetic sequence 22,15,8,1
Answer:
a=1
an= an-1 -7
Step-by-step explanation:
A= 1 the answer is A=1