Answer:
1. a square bulletin board has an area of 100ft^2 what is the side length of the bulletin board?
<u>Answer</u><u>:</u><u> </u><u>1</u><u>0</u><u> </u><u>ft</u>
• Area = side × side
![100 = {s}^{2} \\ s = \sqrt{100} \\ side = 10 \: ft](https://tex.z-dn.net/?f=100%20%3D%20%20%7Bs%7D%5E%7B2%7D%20%20%5C%5C%20s%20%3D%20%20%5Csqrt%7B100%7D%20%20%5C%5C%20side%20%3D%2010%20%5C%3A%20ft)
2.which is the correct classification of the vaule 2pi?
D. real,irrational
→ It is irrational because it has no denominator, it is real because it has no imaginary part, and it can be plotted on a number line.
3. simplify each expression
![\hookrightarrow \: - 9x + 12 - 10 + x \\ = ( - 9x + x) + 12 - 10 \\ = { \boxed{ - 8x + 2}} \\ \\ \\ \hookrightarrow \: \frac{3}{4} x + 17 - \frac{1}{4} x - 19 \\ \\ = \frac{3}{4} x - \frac{1}{4} x + 17 - 19 \\ \\ { \boxed{ = \frac{1}{2} x - 2}} \\ \\ \\ \hookrightarrow \: 13 + 12x - 4x - 14 \\ = 13 + 8x - 14 \\ { \boxed{ = 8x - 1}} \\ \\ \\ \hookrightarrow \: - \frac{3}{2} x - 68 + 2x + 8 \\ \\ = - \frac{3}{2} x + 2x - 68 + 8 \\ \\ { \boxed{ = \frac{1}{2}x - 60 }}](https://tex.z-dn.net/?f=%20%5Chookrightarrow%20%5C%3A%20%20-%209x%20%2B%2012%20-%2010%20%2B%20x%20%5C%5C%20%20%3D%20%28%20-%209x%20%2B%20x%29%20%2B%2012%20-%2010%20%5C%5C%20%20%3D%20%7B%20%5Cboxed%7B%20-%208x%20%2B%202%7D%7D%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%5Chookrightarrow%20%5C%3A%20%20%5Cfrac%7B3%7D%7B4%7D%20x%20%2B%2017%20-%20%20%5Cfrac%7B1%7D%7B4%7D%20x%20-%2019%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D%20x%20-%20%20%5Cfrac%7B1%7D%7B4%7D%20x%20%2B%2017%20-%2019%20%5C%5C%20%20%5C%5C%20%7B%20%5Cboxed%7B%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%202%7D%7D%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%5Chookrightarrow%20%5C%3A%2013%20%2B%2012x%20-%204x%20-%2014%20%5C%5C%20%20%3D%2013%20%2B%208x%20-%2014%20%5C%5C%20%20%7B%20%5Cboxed%7B%20%3D%208x%20-%201%7D%7D%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%5Chookrightarrow%20%5C%3A%20%20-%20%20%5Cfrac%7B3%7D%7B2%7D%20x%20-%2068%20%2B%202x%20%2B%208%20%5C%5C%20%20%5C%5C%20%20%20%3D%20-%20%20%5Cfrac%7B3%7D%7B2%7D%20x%20%2B%202x%20-%2068%20%2B%208%20%5C%5C%20%20%5C%5C%20%7B%20%5Cboxed%7B%20%3D%20%20%5Cfrac%7B1%7D%7B2%7Dx%20-%2060%20%7D%7D)
Answer: No, Yes, Yes, No (in order)
Step-by-step explanation:
The area of a triangle is equal to the base*height/2.
The first choice:
Area = 6 ft * 5 ft/2
Area = 30 ft^2/2
Area = 15 ft^2
Therefore, this choice is not correct
The second choice:
Area = 12 ft * 5 ft/2
Area = 60 ft^2/2
Area = 30 ft^2
Therefore, this choice is correct
The third choice:
Area = 10 ft * 6 ft/2
Area = 60 ft^2/2
Area = 30 ft^2
Therefore, this choice is correct
The fourth choice:
Area = 20 ft * 6 ft/2
Area = 120 ft^2/2
Area = 60 ft^2
Therefore, this choice is not correct
Answer:
The equation that represents the new path is y=(1/2)x-2
Step-by-step explanation:
step 1
Find the slope of the give line
we have
y=-2x-7
so
the slope m is equal to
m=-2
step 2
Find the slope of the perpendicular line to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal of each other
so
we have
m=-2 -----> slope of the given line
therefore
The slope of the perpendicular line is equal to
m=1/2
step 3
With m=1/2 and the point (-2,-3) find the equation of the line
y-y1=m(x-x1)
substitute
y+3=(1/2)(x+2)
y=(1/2)x+1-3
y=(1/2)x-2 -----> equation that represent the new path
Answer:
vertical
Step-by-step explanation:
did the test