Rebecca needs 10 1/2 yards of fabric to make a quilt. She has one piece of fabric that is 2 1/2 yards and another piece of fabri
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Answer:
Step-by-step explanation:
Given the information:
- A'B'C' reflection over x = −1
- dilation by a scale factor of 4 from the origin
<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so A″B″C″ is 4 time bigger than ABC
=> the relationship between ΔABC and ΔA″B″C″
=
We choose C.
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The slope of this straight line is equal to: A. 2
<h3>What is a slope?</h3>A slope is also referred to as gradient and it's typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or points.
<h3>How to calculate the slope of a line?</h3>Mathematically, the slope of any straight line can be calculated by using this formula;
By critically observing the given graph, we can logically deduce the following points:
- Point (x, y) = (1, 1)
- Point (x, y) = (-1, -3)
<u>Note:</u> Each interval on this graph represents 1 unit.
Substituting the given points into the formula, we have;
Slope = Δy/Δx
Slope = (-3 - 1)/(-1 - 1)
Slope = -4/-2
Slope = 2
Read more on slope here: brainly.com/question/3493733
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Answer:
<em>The pole is 15 feet tall</em>
Step-by-step explanation:
<u>Pythagora's Theorem</u>
Let's call x the distance from the base of the pole to the spot where the guy wire is anchored. The height of the pole is 7 feet more, i.e. x+7.
The guy wire is 17 feet long. These dimensions form the sides of a right triangle where the guy wire is the hypotenuse.
Applying Pythagora's Theorem
Operating
Rearranging and simplifying by 2
Factoring
Solving
Only the positive solution is valid, thus x=8
The height of the pole is x+7=15 feet
The pole is 15 feet tall