Answer:
4x +5y = 10
Step-by-step explanation:
Standard form of an equation is Ax +By = C
y=-4/5x+2
Add 4/5 x to each side
4/5 x +y=-4/5x+ 4/5x+2
4/5 x + y = 2
Now we don't have fractions in A ,B or C
So Multiply by 5
5(4/5 x + y) = 2*5
Distribute
4x +5y = 10
Answer:
The length of the resulting segment is 500.
Step-by-step explanation:
Vectorially speaking, the dilation is defined by following operation:
![P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]](https://tex.z-dn.net/?f=P%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2B%20k%5Ccdot%20%5BP%28x%2Cy%29-O%28x%2Cy%29%5D)
(1)
Where:
- Center of dilation.
- Original point.
- Scale factor.
- Dilated point.
First, we proceed to determine the coordinates of the dilated segment:
(
, 
, 
, 
)
![P(x,y) = (0,0) +5\cdot [(10,40)-(0,0)]](https://tex.z-dn.net/?f=P%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B5%5Ccdot%20%5B%2810%2C40%29-%280%2C0%29%5D)
![Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)]](https://tex.z-dn.net/?f=Q%27%28x%2Cy%29%20%3D%20O%28x%2Cy%29%20%2B%20k%5Ccdot%20%5BQ%28x%2Cy%29-O%28x%2Cy%29%5D)
![Q' (x,y) = (0,0) +5\cdot [(70,120)-(0,0)]](https://tex.z-dn.net/?f=Q%27%20%28x%2Cy%29%20%3D%20%280%2C0%29%20%2B5%5Ccdot%20%5B%2870%2C120%29-%280%2C0%29%5D)
Then, the length of the resulting segment is determined by following Pythagorean identity:
The length of the resulting segment is 500.
This one works the same way the last one did.
If -8 is x-2, then x = -6. The corresponding point is (-6, -5).
Answer:
r = - 3
Step-by-step explanation:
To find the common ratio r, divide consecutive terms
- 9 ÷ 3 = - 3
27 ÷ - 9 = - 3
- 81 ÷ 27 = - 3
Thus common ratio = - 3
Answer:
all the angles of the pentagon do not add up to 540
Step-by-step explanation:
total degree in a shape
180 × (n-2) where n is the number of side
a pentagon has 5 sides so
180 × (5-2)
= 540
100+105+72+126+127= 530
all the angles of the pentagon do not add up to 540
