The solution to the given equation is w = -5
<h3>Solving of expression</h3>
What is an Algebraic Expression? An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations
Given the expression below as shown;
-10w = 50
Divide both sides by -10
-10w/-10 = 50/-10
w = -5
Hence the solution to the given equation is w = -5
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The equation that represents the given data is
Option D is the correct answer.
<h3>What is a Function ?</h3>
It is a statement where two variables , one dependent and one independent are related.
It is given that
a cube root function goes through (8, 2), has an inflection point at (0, negative 1), and goes through (8, negative 3).
The equation given in the options are
![\rm f(x) = -\sqrt[3]{x} \\f(x) = -\sqrt[3]{x-1} \\f(x ) =-\sqrt[3]{-x} -1 \\f(x) = -\sqrt[3]{-x}](https://tex.z-dn.net/?f=%5Crm%20f%28x%29%20%3D%20-%5Csqrt%5B3%5D%7Bx%7D%20%5C%5Cf%28x%29%20%3D%20-%5Csqrt%5B3%5D%7Bx-1%7D%20%5C%5Cf%28x%20%29%20%3D-%5Csqrt%5B3%5D%7B-x%7D%20-1%20%5C%5Cf%28x%29%20%3D%20-%5Csqrt%5B3%5D%7B-x%7D)
The function goes through (8,2)
Substituting the values
f(x) = -2
f(x) = ![\sqrt[3]{7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B7%7D)
f(x) = -3
f(x) = 2
The equation that represents the given data is
Option D is the correct answer.
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<span>The definition for discovering the volume of a box is when the person takes the length, the width, and the height of the box. And because we have those values here, there is no math that is necessary to do other than multiplying the numbers together and creating a new unit of inches cubed. The answer is 11040 inches cubed.</span>
Answer:
See Below.
Step-by-step explanation:
In the given figure, AP = BP = PC.
And we want to prove that ∠ABC is a right angle.
Since AP = BP and BP = PC, we can create two isosceles triangles: ΔAPB and ΔCPB.
By the definition of isosceles triangles, in ΔAPB, ∠PAB and ∠PBA are equivalent. Let the measure of each of them be <em>x°</em>.
Likewise, in ΔCPB, ∠PCB and ∠PBC are equivalent.
And since AP = BP = PC, each of the angles∠PCB and ∠PBC will also be equivalent to <em>x°.</em>
<em />
And since the sum of the interior angles of a triangle total 180°, we acquire:

Since they are all equivalent:

Hence:

∠ABC is the sum of ∠PBA and ∠PBC, each of which measures 45°. Hence:

-6z = 72
Divide both sides by -6
-6z = 72
/-6 /-6
z = -12