The answer to question 35 is d
Answer: 15
Step-by-step explanation:
5 = 15
6 = 18
3* the number so 3 * 5 is 15
<span>Answer: - (1/2)x + 2
Solution:
1) Table
</span>
<span><span>
</span><span><span>
x
y
</span>
<span>
-2
3
</span>
<span>
0
2
</span>
<span>
4
0
</span>
<span>
6
-1
The first thing that you must probe is whether the relation is linear.
When the relation is linear the rate of change is constant.
The rate of change is Δy / Δx
2) Let's calculate that rate for all the points given:
</span></span></span><span><span>
x
y
</span>
-2
3
<span>
0
2
</span>
<span>
---> Δx = 0 -(-2) = 2, Δy = 2 - 3 = - 1 => Δy / Δx = - 1/2
4
0
---> Δx = 4 - 0 =4, Δy = 0 - 2 = -2 => Δy / Δx = -2/4 = - 1/2
</span>
<span>
6
-1</span></span> ---> Δx = 6 - 4 = 2, Δy = - 1 - 0 = -1 => Δy / Δx = - 1/2
<span> </span>
So, we have shown that the relation is linear.
3) Now, you can use the equation of the line: y = mx + b, where m is the slope (rate of change Δy / Δx) and b is the y-intercept.
We already found m = -1/2
The y-intercept is the value of y when x = 0, which you can get from the table; b = 2.
Therefore the equation is: y = (-1/2)x + 2.
Answer:
part A) The scale factor of the sides (small to large) is 1/2
part B) Te ratio of the areas (small to large) is 1/4
part C) see the explanation
Step-by-step explanation:
Part A) Determine the scale factor of the sides (small to large).
we know that
The dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
so
Let
z ----> the scale factor
The scale factor is equal to
substitute
simplify
Part B) What is the ratio of the areas (small to large)?
<em>Area of the small triangle</em>
<em>Area of the large triangle</em>
ratio of the areas (small to large)
Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures
In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In similar figures the ratio of its areas is equal to the scale factor squared
Answer:
3 + X
Step-by-step explanation:
Is your aljebra expression.