Y = 2x +13
We know the slope to be 2 because lines that are parallel have the same slope. Then we can solve using slope-intercept form and the known point.
y = mx + b ----> Input known values
7 = (2)(-3) + b ---> Multiple
7 = -6 + b ----> Subtract 3 from both sides
13 = b
Now we can use the y-intercept found and the slope to write the equation above.
Change in value = 87 - 42 = 45
percentage change = 45/42 x 100 = 107%
Answer:
x = {-5π/4, -3π/4, 3π/4, 5π/4}
Step-by-step explanation:
You know that sec(x) = 1/cos(x), so this is equivalent to ...
cos(x) = -1/√2
The cosine has a magnitude of 1/√2 for an angle of 45°, or π/4 radians. It is negative in the 2nd and 3rd quadrants. Angles in those quadrants that have a reference angle of π/4 are ...
3π/4, 5π/4
We also want angles in the range -2π to 0, so all of the solutions will be ...
sec(x) = -√2 for x = {-5π/4, -3π/4, 3π/4, 5π/4}
__
We like to use the x-intercept as the solution when graphing, so we write the given equation as ...
sec(x) +√2 = 0
The graph verifies the above solutions.
Answer:
The smallest model - bottom right - in the question diagram represents
.
Step-by-step explanation:
Considering the radical expression
![\sqrt[3]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D)
Lets simply this radical expression first
As
![\sqrt[3]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D)

![=\sqrt[3]{4^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B4%5E3%7D)
![\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a,\:\quad \:a\ge 0](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da%2C%5C%3A%5Cquad%20%5C%3Aa%5Cge%200)
![\sqrt[3]{4^3}=4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4%5E3%7D%3D4)

Therefore, ![\sqrt[3]{64}=4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D%3D4)
Now, as we can determine that
. So, the smallest model in the question diagram represents
as each face of the cube of the smallest model in the diagram - bottom right - has 4 squares.
Therefore, the smallest model - bottom right - in the question diagram represents
.
Keywords: square cube root, radical expression
Learn more about radical expression from brainly.com/question/13984232
#learnwithBrainly
Answer:
The cost is $75
Step-by-step explanation:
Given

Required
Cost of 3 cubic yards -- Missing from the question
The required means that: 
Plug in
to 


<em>The cost is $75</em>