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son4ous [18]
3 years ago
11

Write an equation for a line perpendicular to y = 2 x + 4 and passing through the point ( − 2 , 3 ) . Express your answer in slo

pe-intercept form.
Mathematics
1 answer:
aleksklad [387]3 years ago
3 0

Answer:

y = -1/2x + 2

Step-by-step explanation:

A perpendicular line will have a opposite reciprocal slope.

Since the line's slope is 2, the perpendicular line will have a slope of -1/2

Plug in the slope and given point into y = mx + b, and solve for b

y = mx + b

3 = -1/2(-2) + b

3 = 1 + b

2 = b

Plug in the slope and b into y = mx + b

y = -1/2x + 2

So, the equation is y = -1/2x + 2

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Built in 2011, the capital gate tower is 150 meters tall (measured vertically from the ground) and makes a 72 degree angle with
Softa [21]

Answer:

Step-by-step explanation:

You can create a right triangle out of this information and then use right triangle trig to solve.

We are given the height of the triangle as the height of the tower which is 150m.

We are given the angle of inclination as the degree the tower makes with the ground which is 72.

From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:

tan(72)=\frac{150}{x} and, solving for x,

x=\frac{150}{tan(72)}

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that

x = 48.7 m

7 0
3 years ago
What is the sale price to the nearest cent? $239 television; 10% discount
miv72 [106K]

Answer:

The sale price will be:  $215.10

Step-by-step explanation:

We know that:

Sale price = Regular price × (100% - Discount %)

                 = Regular price × (100% - 10%)

                 = 239 × 90%

                 = 239 × 0.9

                 = 215. 10 $

Therefore, the sale price will be:  $215. 10        

3 0
2 years ago
ANSWER ASAP PLEASEEEEEE
expeople1 [14]

Answer:

the answer is A

Step-by-step explanation:

....................

8 0
2 years ago
Read 2 more answers
Which expression is equal to 24 - 18 ÷ 3<br> A) 24 -6<br> B) 6 ÷ 3<br> C) 8 - 18 <br> D) 6 - 3
Westkost [7]

Answer:

Correct Answer is option A.

Step-by-step explanation:

24 - 18 ÷ 3

According to PEMDAS  Rule where P stands for parenthesis ,E exponents,M multiplication ,D division , A addtion and S subtraction

so first we divide 18 by 3 we get

24-6

Answer.

7 0
3 years ago
Read 2 more answers
Too stoned help pls
podryga [215]
Distributive proeprty
wait
combein elike terms
4(1m+3+5m)=4(5m+1m+3)=4(6m+3)

if we distribute
reemmber that a(b+c)=ab+ac
4(6m+3)=4(6m)+4(3)=24m+12




A. 24m+12 and 12(2m+1)
B. distributive property
C. if m=1, we get 36=36
3 0
3 years ago
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