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Dahasolnce [82]
3 years ago
5

HELP ME FOR NUMBER 16

Mathematics
1 answer:
Levart [38]3 years ago
4 0
The answer is 120 I got this from google


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Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter the right side o
disa [49]

Let\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\\\\\text{We have}\ k:y=\dfrac{3x-12}{2}=\dfrac{3x}{2}-\dfrac{12}{2}=\dfrac{3}{2}x-6\to m_1=\dfrac{3}{2}\\\\l:y=mx+b\to\dfrac{3}{2}m=-1\qquad|\cdot\dfrac{2}{3}\\\\m=-\dfrac{2}{3}\\\\l:y=-\dfrac{2}{3}x+b\\\\\text{Put the coordinates of the point (9, 9) to the equation of the line}\ l:\\\\9=-\dfrac{2}{3}(9)+b\\\\9=-2(9)+b\\\\9=-18+b\qquad|+18\\\\b=27\\\\y=-\dfrac{2}{3}x+27\to y=-\dfrac{2x}{3}+\dfrac{27\cdot3}{3}\to\boxed{y=\dfrac{-2x+81}{3}}

3 0
3 years ago
Translate: Six more than the product of two numbers.
RoseWind [281]

Answer:

You write it like this:  

6  +  8 n.

Step-by-step explanation:

You can translate the sentence in English into math. "The product of" means multiplying two numbers, and "6 more than" means adding 6:

hope this helps :)

6 0
3 years ago
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Suppose you toss a coin 100 times and get 59 heads and 41 tails. based on these​ results, what is the probability that the next
Liono4ka [1.6K]
The probability is 59/100
3 0
3 years ago
Find the quotient 7/9 divided by 5/6
Blizzard [7]
7/9 divided by 5/6 = 14/15
in decimal for it would be 0.93
3 0
3 years ago
A concrete pillar has the shape of a cylinder. It has a radius of 4 meters and a height of 9 meters. If concrete costs $87 per c
otez555 [7]

Answer:

28425.13

Step-by-step explanation:

Plug in the radius and height, and then multiply by 87.

Formula : A=2πrh+2πr2

6 0
3 years ago
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