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sleet_krkn [62]
3 years ago
8

Write the equation of a line perpendicular to y=-2x+1 through (2,3) in slope intercept form.

Mathematics
1 answer:
Fed [463]3 years ago
7 0

Answer:

y=\dfrac{1}{2}x+2

Step-by-step explanation:

y= - 2x + 1

Compare with y = mx + b

m = Slope = -2

Slope of the perpendicular line = -1/m = -1/-2 = 1/2

Point (2,3)

Equation : y -y1 =m(x -x1)

y - 3 = \dfrac{1}{2}*(x - 2)\\\\\\y-3=\dfrac{1}{2}*x - 2*\dfrac{1}{2}\\\\\\y -3=\dfrac{1}{2}x-1\\\\y =\dfrac{1}{2}x-1+3\\\\y=\dfrac{1}{2}x+2

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An engineer stands 30 ft. from a building and notes a 55 degree angle of elevation to the top of the building. How high is the b
alexdok [17]
<h3>Answer:  42.8 feet</h3>

Work Shown:

h = height of the building

h is opposite the reference angle (55)

the adjacent side is 30 feet

tan(angle) = opposite/adjacent

tan(55) = h/30

h = 30*tan(55)

h = 42.84444 which is approximate

h = 42.8 feet

8 0
3 years ago
Help help help thanks
Dmitry [639]

Answer: a=2/5b + 1/5c (I may have answered your question but idk if I did)

Step 1: Add -4a to both sides.

9a−2b+−4a=4a+c+−4a

5a−2b=c

Step 2: Add 2b to both sides.

5a−2b+2b=c+2b

5a=2b+c

Step 3: Divide both sides by 5.

5a/5=2b+c/5

a=2/5b+1/5c

7 0
3 years ago
Liz had 140 pens and Inna had 100 pens. After Inna gave Liz some pens, Liz had 3 times as many pens as Inna. How many pens did I
aleksley [76]

Answer:

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8 0
3 years ago
Write the next five odd numbers that follow 19 explain how you knew what numbers to write
kozerog [31]

Answer:

See below.

Step-by-step explanation:

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For example 19/2 = 9.5

So the next 5 are 21 23 25 27 29

5 0
3 years ago
Read 2 more answers
08.01)Marlow wants to know how many students in his school enjoy watching the TV news. He asks all 27 students in his art class
Inga [223]
Part 1 : Marlow wants to know how many students in his school enjoy watching the TV news. He asks all 27 students in his art class and finds that 30% of his classmates enjoy watching the TV news. He claims that 30% of the school's student population would be expected to enjoy watching the TV news. Is Marlow making a valid inference about his population?

No, it is not a valid inference because he asked all 27 students in his art class instead of taking a sample from the school

No, it is not a valid inference because his classmates do not make up a random sample of the students in the school

Yes, it is a valid inference because he asked all 27 students in his art class

Yes, it is a valid inference because his classmates make up a random sample of the students in the school 

Answer = The correct answer is <span>B because Marlow was supposed to ask random kids and they were not suppose to be in his class. 

Part 2 : </span><span>Carl takes a random sample of 100 students in his school and finds that 72% of the sample prefers pizza over burgers. There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer pizza over burgers? </span>

72

100

1,080

<span>1,500 
</span>
<span>1500 / 100</span>×72<span>= 1080</span><span>

</span>
7 0
4 years ago
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