Answer:
Addition property justifies manipulation of the equations.
Step-by-step explanation:
Given:
Two equations.
⇒ 
...equation (i)
⇒ 
...equation (ii)
We have to identify the property which justifies the manipulation.
Note:
The Linear Combination Method:
- Adding (or subtracting) a multiple of one equation with the other equation, in such a way that either the x -terms or the y -terms cancel out.
- Then solve for x (or y) and substitute back to get the other values.
- Also known as the addition and the elimination method.
The above equation is following the linear combination method where x-values are added to find the y value.
Solving:
⇒ ...(i)
⇒ ...(ii)
⇒ <em>Adding both the equations.</em>
⇒ 
⇒ <em>Dividing both sides with 7.</em>
⇒ 
⇒ 
Addition property justifies manipulation of both the equations.
Answer:
x = 4
Step-by-step explanation:
The line is a vertical line. The equation of a vertical line is represented as x = k.
Where, k is the point at where the line intercepts the x-axis.
In the graph given, the line intercepts the x-axis at 4. k = 4.
Therefore the equation of the vertical line would be:
x = 4
Answer:
15.63 cm^3
Step-by-step explanation:
Assuming that the ice cube is a perfect cube, then all of the sides are equal. There for, each side is 2.5 cm.
v = l*w*h
v = 2.5 * 2.5 * 2.5
v = 6.25 * 2.5
v = 15.625 cm^3
Answer:
The volume of the triangular prism would be 210.
Step-by-step explanation:
Formula:
Volume of a triangular prism = (1/2) x Base area x Height
or
V = 1/2 x B x H
Find the Base area = l x w
Base area = (10 x 7) 70
Base area = 70 sq.m
V = (1/2) x (70) x 6
V = 210
Answer:
The answer is y = ± ![\sqrt[4]{\frac{x}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7Bx%7D%7B4%7D%7D)
, 
is a function ⇒ 1st answer
Step-by-step explanation:
Let us revise the steps of find the inverse of a function
- Replace f(x) with y
- Replace every x by y and replace y by x
- Solve the equation in Step 2 for y
- Replace y by
∵ 
- Replace f(x) by y
∴ 
- Replace y by x and x by y
∴ 
- Divide each side by 4
∴ 
- Take ![\sqrt[4]{}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%7D)
for both sides
∴ ± ![\sqrt[4]{\frac{x}{4}}=y](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7Bx%7D%7B4%7D%7D%3Dy)
- Switch the two sides
∴ y = ±
∵ There is no fourth root for negative number
∴ x ≥ 0
When you test the graph of by a vertical line, it will cut it just at one in every position, so it is a function. Look to the attached graph for more understand
∴ is a function
The answer is y = ± , is a function
