Answer:
89 is the answer.
Step-by-step explanation:
Answer:
We simplify the equation to the form, which is simple to understand
5x+25=10
We move all terms containing x to the left and all other terms to the right.
+5x=+10-25
We simplify left and right side of the equation.
+5x=-15
or this is another way
Simplifying
5x = 25 + -10
Combine like terms: 25 + -10 = 15
5x = 15
Solving
5x = 15
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '5'.
x = 3
Simplifying
x = 3
We divide both sides of the equation by 5 to get x.
x=-3
Step-by-step explanation:
x² x<1
-x²+4x-1 1<x<3
x-3 x>3
Feel free to ask question in the comments
With the information given, we deduce that the parabola is

Reflecting a function over the x axis means to change its sign. After the reflection, the parabola becomes

And to shift down a function, you subtract the shift from the equation: the equation becomes

Similarly, the other function is reflected over the x axis (sign change) and shifted up 3 (add 3 to the equation):

In order to compute the y intercept, we simply have to evaluate the functions at x=0: for the parabola we have

For the other function, we have

Answer:
The slope of NP is
⇒ B
Step-by-step explanation:
- In any square, every two opposite sides are parallel and every two consecutive sides are perpendicular
- Parallel lines have the same slope
- The product of the slopes of the perpendicular lines is -1, which means if the slope of one m, then the slope of the other is
(reciprocal m and change its sign)
- The rule of the slope of the line which passes through the points (x1, y1) and (x2, y2) is m =

In square MNPR
∵ MN and NP are adjacent sides
∴ MN ⊥ NP
∵ M = (3, 8) and N = (-2, 1)
∴ x1 = 3 and y1 = 8
∴ x2 = -2 and y2 = 1
→ Use the rule of the slope above to find the slope of MN
∴ m(MN) = 
∴ m(MN) = 
∴ m(MN) = 
∵ MN ⊥ NP
∴ The product of their slopes = -1
→ Reciprocal the slope of MN and change its sign
∴ m(NP) = 
∴ The slope of NP is