7(2y+1)+3y
14y + 7 + 3y
17y + 7
Dilation is one of the several means by which we can transform a graph. A function is dilated when is stretched away from an axis or compressed towards an axis. So this means there are 2 types of dilation: a) Stretch (Enlargement) and b) Compression.
Depending on the direction of Dilation, we have Horizontal Dilation and Vertical Dilation.
For a function y = f(x), horizontal dilation is achieved when x is replaced by
and vertical dilation is achieved when y is replaced by
where A is the scale factor.
In each of these cases, the function will be stretched if |A| > 1 and will be compressed if |A| < 1.
Therefore, the answer to the given question is:
A dilation is an enlargement if the scale factor is greater than 1.
Answer:
x: 12 9 6 3
y: 11 8 5 2
Step-by-step explanation:
Every box is the previous number minus 3. For x, they say to start with 15 and subtract 3, so the first box is 15-3. The second box is the previous box, 12, minus 3 and so on. Y is done the same way. Hope this is helpful :)
The surface area of the square pyramid if the length of the sides of the base are 10 cm, and the slant height is 15 cm is 416.2 cm²
<h3>Surface area</h3>
Surface area of the square pyramid
= a² + 2a√a²/4 + h²
where,
- a = sides of base = 10 cm
- h = slant height = 15 cm
Surface area of the square pyramid
= a² + 2a√a²/4 + h²
= 10² + 2(10)√10²/4 + 15²
= 100 + 20√100/4 + 225
= 100 + 20√25 + 225
= 100 + 20√250
= 100 + 20(15.81)
= 100 + 316.2
= 416.2 cm²
Learn more about surface area:
brainly.com/question/16519513
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Given: m∠A + m∠B = 90° (Definition of Complementary Angles).
Given: m∠B = (5x + 8)°
A) m∠A = 180° + (5x + 8) is your answer choice:
Why it isn't the others:
B) m∠A = 90° - (5x + 8)
You are solving for complementary angles (90° in total when combined), so you subtract the measurement for B (5x + 8) to get A.
C) m∠A = 180° - 2(5x + 8)°
You double the complementary angle to solve for the supplementary. Essentially, just divide this answer by two to get the complementary angles.
D) m∠A = 82 - 5x
I was confused by this one, but essentially they just did one step of the isolating the variable, which was subtracting 8 from both sides. They did not finish isolating the variable however.