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BaLLatris [955]
1 year ago
7

A line that perpendicular to the line y= 2/3x + 4 and goes through the point (-2,5)

Mathematics
1 answer:
gayaneshka [121]1 year ago
3 0

step 1

Find the slope of the given line

we have

y=(2/3)x+4

the slope is m=2/3

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

so

the slope of the perpendicular line to the given line is

m=-3/2

step 2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-3/2

point (-2,5)

substitute

5=(-3/2)(-2)+b

solve for b

5=3+b

b=2

therefore

<h2>y=-(3/2)x+2</h2>
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What is the distance from 3, 5) to 4.-12)?​
enyata [817]

Answer:

Step-by-step explanation:

P1 = (3.5,5)  in the form  (x1,y1)

P2 = (3.5,-12) in the form (x2,y2)

dist = sqrt[ (x2 - x1)^2 + (y2-y1)^2 ]

dist = sqrt[ (3.5-3.5)^2 + (-12-5)^2 ]

dist = sqrt [ 0  -17^2]

dist = 17

4 0
3 years ago
Find the perimeter of the polygon. Assume that lines which appear to be tangent are tangent. Round to the nearest tenth if neces
kherson [118]

Answer:

P=53.6\ units

Step-by-step explanation:

we know that

The <u><em>Two-Tangent Theore</em></u>m states that if two tangent segments are drawn to one circle from the same external point, then they are congruent

so

Applying the Two-Tangent Theorem at each vertex of the triangle

The perimeter of the triangle is equal to

P=2(7.8)+2(8)+2(11)=53.6\ units

6 0
3 years ago
Herber read a total of 36pages in 2 hours. Later on, he read 90 pages in 5 hours. How many pages did Herber read each hour.
Lady_Fox [76]

Answer:

18 pages per hour.

If you do 36 (the pages/amount) divided by 2 (The time), you get 18.

To double check, when you do 90 (The pages/amount) divided by 5 ( The time), then you get 18 again.

Therefore the answer is 18 pages per hour.

(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!

- •Trix•

( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

6 0
3 years ago
What is the estimate of 6/8-1/2?
Rainbow [258]
The estimate of the problem would be 1/4 because 6/8- 1/2 you would get 1/4. 
~Good Luck!~
8 0
4 years ago
Read 2 more answers
Solve log6x+ log14=1
LekaFEV [45]

Answer:

x = 5/42 or 0.119

Step-by-step explanation:

log(6x) + log(14) = 1

log(6x × 14) = 1

log(84x) =

84x = 10¹

84x = 10

x = 10/84

x = 5/42 or 0.119

8 0
3 years ago
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