Answer:
4
Step-by-step explanation:
We'll begin by calculating the slope of the equation. This is illustrated below:
y = 4/3x + 1
Comparing the above equation with:
y = mx + c
The slope (m) of line is 4/3.
Next, we shall determine the slope of the equation perpendicular to:
y = 4/3x + 1
This is illustrated below:
When two lines are perpendicular, their slope are related as:
m2 = – 1/m1
From the above, m1 = 4/3
m2 = –1 ÷ 4/3
m2 = –1 × 3/4
m2 = – 3/4
Next, we shall determine the equation passing through (4, 1). This is illustrated below:
y – y1 = m(x – x1)
y1 = 1
x1 = 4
m = – 3/4
y – y1 = m(x – x1)
y – 1 = –3/4 (x – 4)
y – 1 = –3/4x + 3
y = –3/4x + 3 + 1
y = –3/4x + 4
Comparing:
y = –3/4x + 4 with y = mx + c
The y-intercept, c is 4.
Answer:-5(-2)(-3)
-5x(-2)
10
10x(-3)
-30
Step-by-step explanation:
1. substitution....because it would be easier to just sub one y in for the other then it would be to use the elimination method
2. substitution....because in one of the equations, u already have y...so just sub 6x - 13 in for y in the other equation
3. elimination....all u have to do is add them and ur y terms are eliminated, allowing u to find x
4. substitution....sub in x + 1 for y in the other equation
2x + 4(x + 1) = 28 y = x + 1
2x + 4x + 4 = 28 y = 4 + 1
6x = 24 y = 5
x = 4
the solution for this system is : (4,5)
5. elimination..
3x - y = -1 3(-2) - y = -1
2x + y = -9 -6 - y = -1
------------------add -y = -1 + 6
5x = -10 -y = 5
x = -2 y = -5
the solution to this system is : (-2,-5)
6. substitution.....sub in one y for the other
2/3x - 1 = -x + 4 y = -x + 4
2/3x + x = 4 + 1 y = -3 + 4
5/3x = 5 y = 1
x = 5 * 3/5
x = 3
so the solution to this system is (3,1)
7. substitution...sub one y in for the other
296 - 10x = 200 + 6x y = 200 + 6(6)
296 - 200 = 6x + 10x y = 200 + 36
96 = 16x y = 236
6 = x
so the solution for this system is (6,236)
Answer:n>10
Step-by-step explanation:b
Answer:28
Step-by-step explanation: in this case n=4, so you would plug in 4 into the equation: 5(4)+8 which equals 8
