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nata0808 [166]
3 years ago
10

How many solutions does 9(z+8)=-9z-72 have

Mathematics
1 answer:
zloy xaker [14]3 years ago
4 0

Answer:

1 solution.

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

9(z + 8) = -9z - 72

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 9:                              9x + 72 = -9z - 72
  2. Add 9z to both sides:               18z + 72 = -72
  3. Subtract 72 on both sides:       18z = -144
  4. Divide 18 on both sides:           z = -8

Here we see that we will get only 1 solution for <em>z</em>.

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6 0
3 years ago
Identify the number of solutions. Y&lt; -1/3x+5, y&gt; -1/3x-1.
Elenna [48]

Answer: C. No solution. ( top shaded. Middle not. Bottom shaded.


Step-by-step explanation:

Given inequalities

y< -1/3x+5 and

y> -1/3x-1.

If we draw graph for y< -1/3x+5 equation, it would be a dotted line and we would shade down the dotted line because we have less than < symbol there.

Now, if we draw graph for second inequality y> -1/3x-1, it would also be a dotted line and we would shade up of dotted line because we have greater  than > symbol there.

Now, we can see that slopes of both dotted lines are same that is -1/3.

So, there would not be any common shaded region.

Therefore, there would not by any solution of the system of inequalities.

And correct option is C option.

C. No solution. ( top shaded. Middle not. Bottom shaded.

8 0
3 years ago
Move triangle ABC so it lies on top of triangle DEF, triangle GHI, and triangle JKL. How many units do you have to move triangle
dusya [7]

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the diagram of coordinates of the three triangles are not given.

A general explanation is as follows:

First, record the coordinates of the corresponding points of the three triangles.

For instance; In triangles ABC, DEF and GHI; A, D and G are corresponding points.

Now, assume the coordinates are:

A = (1,1)

D = (1,5)

G= (-2,1)

Point D is 4 points to the right of A;

i.e.

D =(1,1+4) = (1,5)

Hence, ABC will be moved 4 units right to lie on DEF

Similarly, point G is 3 units down of A

i.e.

G =(1-3,1) = (-2,1)

Hence, ABC will be moved 3 units down to lie on GHI.

5 0
3 years ago
A cylinder with a 2 centimeter diameter is drilled through the triangular prism shown on the left find the volume of the prism
saw5 [17]

Answer:

The volume of a prism on its own = 248.5cm^3

The volume of a cylinder  = 87.92cm^3

Step-by-step explanation:

The volume does not change for the prism as the hole was drilled.

We can show the drilled space with v(l) and (p) for prism V

v(l) 248.5p - 87.92p + 87.92p

= 248.5p

3 0
3 years ago
Tutorial C<br> A 3-yard roll of aluminum foil costs $4.14. What is the price per<br> foot?
Marta_Voda [28]

Answer:

$.46 or 46 cents per foot

Step-by-step explanation:

3 yards = 4.14

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3 yards is 9 feet

4.14 ÷ 9 = .46

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2 years ago
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