Answer:
x = 10 and y = 8
Step-by-step explanation:
100=10x
100= 10y+20
For x, for first equation, we simply solve for x.
10x = 100 => x=100/10
Therefore, x =10
For y, for second equation, simply solve for y.
100= 10y+20 => 10y = 100-20
10y = 80 => y = 8
The area of triangle ABC from the given vertices is gotten as; 7.5
<h3>How to find the area of a triangle?</h3>
We are given the vertices of the triangle as;
A(1, 2)
B(4, 0)
C(1,-4)
The formula for area of a triangle with 3 vertices is;
Area = ¹/₂[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]
Thus;
Area = ¹/₂[1(0 + 4) + 4(-4 - 1) + 1(1 - 0)]
Area = ¹/₂(4 - 20 + 1)
Area = -7.5
Read more about area of triangle at; brainly.com/question/17335144
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U should know the area of rectangle is w*l
if we increase it by double or times 2 its area will be
A=2w*2wl
A=4wl
area would be 4 times of original one
Now u can get the answer
Answer:
1468 in³
Step-by-step explanation:
First get get the total volume of the rectangular prism:
length l = 10 in
width w = 15 in
height h = 10 in
diagonal d = 20.6155281 in
total surface area Stot = 800 in²
lateral surface area Slat = 500 in²
top surface area Stop = 150 in²
bottom surface area Sbot = 150 in²
volume V = 1500 in
Now get get the volume from the missing rectangular prism:
ength l = 4 in
width w = 4 in
height h = 2 in
diagonal d = 6 in
total surface area Stot = 64 in²
lateral surface area Slat = 32 in²
top surface area Stop = 16 in²
bottom surface area Sbot = 16 in³
volume V = 32 in³
So 1500in³- 32 in³ =1468 in³
4x + y = 7
y = -4x + 7
using y = mx + b
b being your y intercept, (0,7)