First, isolate x in x-4y=11 because 1 is x's coefficient.
x-4y=11
x=11+4y
Now, substitute 4y+11 for x in 5x-7y=-10.
5x-7y=-10
5(4y+11)-7y=-10
20y+55-7y=-10
Add all coefficients.
13y+55=-10
Isolate y by subtracting 55 from both sides.
13y+55=-10
13y=-10-55
13y=-65
y=-5
Now substitute -5 for y in your first equation.
x=11+4y
x=11+4(-5)
x=11-20
x=-9
Your answer would be (-9,-5).
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Answer:
![178.98\ \text{m}^2](https://tex.z-dn.net/?f=178.98%5C%20%5Ctext%7Bm%7D%5E2)
Step-by-step explanation:
d = Diameter of flower bed = 16 m
Thickness of sidewalk = 3 m
r = Radius of flower bed = ![\dfrac{d}{2}=\dfrac{16}{2}=8\ \text{m}](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7B2%7D%3D%5Cdfrac%7B16%7D%7B2%7D%3D8%5C%20%5Ctext%7Bm%7D)
R = Radius of flower bed with sidewalk = ![8+3=11\ \text{m}](https://tex.z-dn.net/?f=8%2B3%3D11%5C%20%5Ctext%7Bm%7D)
The required area is given by
![A=\pi(R^2-r^2)\\\Rightarrow A=3.14\times (11^2-8^2)\\\Rightarrow A=178.98\ \text{m}^2](https://tex.z-dn.net/?f=A%3D%5Cpi%28R%5E2-r%5E2%29%5C%5C%5CRightarrow%20A%3D3.14%5Ctimes%20%2811%5E2-8%5E2%29%5C%5C%5CRightarrow%20A%3D178.98%5C%20%5Ctext%7Bm%7D%5E2)
The radius of the sidewalk is
.
Answer:
Step-by-step explanation:
16 divided by 2 is saying that 16 into 2 goes evenly 8 times while the square root of 16 is staying that 4 x 4 is 16. What number goes into the square root of 16 will be 4 x 4
The slope is 2The slope is 2The slope is 2The slope is 2The slope is 2The slope is 2
<span>Jessica pays $10 more for membership. The function for the amount that Jessica pays in dollars, y, for renting x number of video games would be y = 5x + 40. To determine how much more a membership costs for Jessica, subtract 30 from 40 to get 10.</span>