First, simplify the parenthesis. You’ll get:
1/4(4z)+7=-z+1
Then multiply 1/4 by 4z. You’ll get:
z+7=-z+1
Love like terms to the same side. I wanted to have the variable positive on time, so I moved variables to the left and constants to the right. You’ll get:
2z=-6
Divide both sides by 2. You’ll get :
z=-3
Answer:

Step-by-step explanation:

Answer
D. `(y+4) = (5)/(3)(x+ 1)`
Step by step explanation
The given points are (-1, -4) and (2, 1)
Slope = (y2 - y1)/(x2 - x1)
= (1 - (-4)) / (2 - (-1))
= (1 + 4) / (2 +1)
m = 5/3
When two points are given, the equation of the line is
(y - y1) = m (x - x1)
y -(-4) = 5/3 (x - (-1))
y + 4 = 5/3 (x + 1)
The answer is (y+4) = (5)/(3)(x+ 1)
Thank you.
Answer:
Check below
Step-by-step explanation:
1) Check the rectangle below with a line k, the axis of rotation in the center of the figure.
2) Since it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created it is a cylinder. As you can see below.
3) Let's calculate its radius, based on the information given, i.e. the perimeter:

Since the line of rotation is the center, and the radius is half the line segment of the basis, then the radius is 5.
The path that Gloria follows when she jumped is a path of parabola.
The equation of the parabola that describes the path of her jump is 
The given parameters are:


<em>Assume she starts from the origin (0,0)</em>
The midpoint would be:



So, the vertex of the parabola is:

Express properly as:

A point on the graph would be:

The equation of a parabola is calculated using:

Substitute
in 

Substitute
in 


Collect like terms

Solve for a


Simplify

Substitute
in 

Hence, the equation of the parabola that describes the path of her jump is 
See attachment for the graph
Read more about equations of parabola at:
brainly.com/question/4074088