<u>Given</u>:
Given that the length of the two legs of the right triangle are 28 m and 45 m.
We need to determine the length of the hypotenuse.
<u>Length of the hypotenuse:</u>
The length of the hypotenuse can be determined using the Pythagorean theorem.
Thus, we have;

Simplifying, we get;


Taking square root on both sides, we get;


Thus, the length of the hypotenuse is 53 m
Hence, Option C is the correct answer.
Answer:
When we have a graph of a function y = f(x) = 10^x
A vertical dilation can be made by multiplying the function by a scale factor a.
Then the dilated graph is y = g(x) = a*10^x
This means that the graph that shows the dilation is a graph that is dilated vertically in with a scale factor equal to a (if a is smaller than 1, this is called a compression).
You can look for easy points to see which is the correct graph.
For example, when x = 0, f(0) = 10^0 = 1
and the dilated graph: x = 0, g(0) = a*10^0 = a
So other characteristic of the new graph is that passes trhough the point (0, a)
Answer:
Undefined
Step-by-step explanation:
Use the following formula to solve for slope:



The equation is not a function and therefore the slope is undefined because there are multiple y values for a single x value.
Answer:
for plates she can buy 3 and for cups she can buy 2
Step-by-step explanation:
both multiply up to 24
The graph of the linear equation y = 4x + 3 can be seen at the end of the answer.
<h3>How to find the graph of the given line?</h3>
Here we have the linear equation:
y = 4x + 3.
To graph it, we need to find two points that belong to the line, to do that, we evaluate in two different values of x. I will use x = 0 and x = 2.
When x = 0.
y = 4*0 + 3 = 3
So we have the point (0, 3).
When x = 2:
y = 4*2 + 3 = 8 + 3 = 11
So we have the point (2, 11)
Now we just need to graph these two points and connect them with a line. The graph of the linear equation is the one you can see below.
If you want to learn more about linear equations:
brainly.com/question/1884491
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