Answer:
The option d
Step-by-step explanation:
find the intersection with x and y
https://tex.z-dn.net/?f=x%3D0%0A
https://tex.z-dn.net/?f=0%2By%3D-9%20%5Clongrightarrow%20y%3D-9%0A
and https://tex.z-dn.net/?f=y%3D0%0A
https://tex.z-dn.net/?f=x%2B0%3D-9
we get the coordinates
https://tex.z-dn.net/?f=(0%2C-9)%2C%20(-9%2C0)
and the same process for another equation
https://tex.z-dn.net/?f=4*(0)%2By%3D-19%20%5Clongrightarrow%20y%3D-19%5C%5C%0A4*x%2B0%3D-19%20%5Clongrightarrow%20x%3D%5Cfrac%7B-19%7D%7B4%7D%20%5C%5C%5C%5C%0A(0%2C-19)%2C%20(%5Cfrac%7B-19%7D%7B4%7D%2C0)%20
and these coordinates are those expressed in the d graph
- The angles are supplementary angles
- The measure of angle m<1 and m<2 are 72 and 108 degrees respectively
Find the diagram attached. From the figure, the sum of the angles m<1 and m<2 are supplementary
Given the following angles
m<1 = 2x + 6
m<2 = 3x + 9
Since both angles are supplementary, hence;
2x + 6 + 3x + 9 = 180
5x + 15 = 180
5x = 180 - 15
5x = 165
x = 165/5
x = 33
Get the measure of m<1;
m<1 = 2x + 6
m<1 = 2(33) + 6
m<1 = 66 + 6
m<1 = 72degrees
Get the measure of m<2:
m<2 = 180 - m<1
m<2 = 180 - 72
m<2 = 108degrees
Hence the measure of angle m<1 and m<2 are 72 and 108 degrees respectively
Learn more here: brainly.com/question/22309882
Keywords:
<em>Square tiles, design, width, long, area, inches
</em>
For this case we have square tiles. Then, for a certain design, 8 square tiles of width and 8 square tiles of length were placed, knowing that each square tile has an area of 1 square inch. We want to know Julia's design area.
So, if each square tile used to make the design has an area of 1 square inch, then it is 1 inch wide and 1 inch long each.
The area of a square tile is given by:
So if the and,
- If the design has 8 square tiles long, then the design length is inches
- If the design has 8 square tiles in width, then the width of the design is
Thus, the design area is given by the area of a square:
Answer:
The design area is 64 square inches
Answer:
3 =n
Step-by-step explanation:
-3 +3(n+8)= 2(1 + 6n) - 8
Distribute
-3 +3n +24 = 2 +12n -8
Combine like terms
21+3n = 12n -6
Subtract 3n from each side
21+3n-3n = 12n-3n -6
21 = 9n -6
Add 6 to each side
21+6 = 9n-6+6
27 = 9n
Divide each side by 9
27/9 = 9n/9
27/9 =n
Divide the top and bottom by 3
3 =n
The standard form:
The point-slope form:
We have the slope m = 3 and the point (5, 5). Substitute:
<em>use distributive property</em>
<em>add 5 to both sides</em>
<em>subtract 3x from both sides</em>
<em>change the signs</em>