We can take the two points given and plug them into the slope formula.
(-3, 3), (1, -5)
x1 y1 x2 y2
Subtract:
Divide:
Answer:
The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find numbers
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the other number = x + 9
Let the number be x.
Sum of two numbers = 25
According to question, x + x + 9 = 25
⇒ 2x + 9 = 25
⇒ 2x = 25 - 9
⇒ 2x = 16
⇒ 2x/2 = 16/2
⇒ x = 8
Therefore, x + 9 = 8 + 9 = 17
Therefore, the two numbers are 8 and 17.
Answer:
y = -24 + -2x + 2x2
Step-by-step explanation:
Simplifying:
y = 2(x + 3)(x + -4)
reorder the terms:
y = 2(3 + x)(x + -4)
multiply (3 + x) * (-4 + x)
y = 2(3(-4 + x) + x(-4 + x))
y = 2((-4 * 3 + x * 3) + x(-4 + x))
y = 2((-12 + 3x) + x(-4 + x))
y = 2(-12 + 3x + (-4 * x + x * x))
y = 2(-12 + 3x + (-4x + x2))
Combine like terms 3x + -4x = -1x
y = 2(-12 + -1x + x2)
y = (-12 * 2 + -1x * 2 + x2 * 2)
y = (-24 + -2x + 2x2)
Solving:
y = -24 + -2x + 2x2
solving for variable 'y'
Move all terms containing y to the left, all other terms to the right.
Simplifying:
y = -24 + -2x + 2x2
Answer:
yes because the slope is equal. so these two lines are parallel.
Answer: (-1, 2)
explanation:
3(2x-y=-4)
6x-3y=-12
9x+3y=-3
6x-3y=-12
15x=-15
x=-1
2(-1) - y = -4
-2-y=-4
-y=-2
y=2
