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stellarik [79]
2 years ago
14

Find the equation of the line that is perpendicluar to y=-2/3x and contains the point (4,-8)

Mathematics
1 answer:
suter [353]2 years ago
5 0

Answer:

Step-by-step explanation:

The slope of two perpendiculars is

m1*m2 = - 1

m1 = - 2/3

-2/3 * m2 = -1                      Multiply both sides by -3/2

-3/2 * -2/3 * m2 = -1*-3/2

m2 = 3/2

So far what you have is

y = 3/2 x + b

x = 4

y = - 8

-8 = 3/2*4 + b

-8 = 6 + b           Subtract 6 from both sides

b = - 14

Complete line

y = 3/2 x  - 14

The red line is y = -2/3x

The blue line is y = 3/2x - 14

The point (4,-8) is marked for you

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What is the equation of a circle whose center is (2,0) and has a radius= 9?
Flauer [41]
The equation of a circle is: (x - h)² + (y - k)² = radius² where (h, k) is the center. Now just plug in your given information and simplify.

(x - 2)² + (y - 0)² = 9²

Your equation is:
(x - 2)² + y² = 81
6 0
3 years ago
Read 2 more answers
In right triangle ABC, ZC is a right angle, m ZA = 52, AC = 10.01, and AB = c.
nlexa [21]

Answer:

The measurement of AB is 16.25 units.

Step-by-step explanation:

In right triangle ABC, ∠C is a right angle, m∠A = 52° , AC = 10.01, and AB = c.

We need to find the measurement of AB.

∠C is a right angle, it means AB is hypotenuse.

In a right angle triangle,

\cos \theta=\dfrac{Base}{Hypotenuse}

\cos A=\dfrac{AC}{AB}

\cos (52^\circ)=\dfrac{10.01}{c}

0.616=\dfrac{10.01}{c}

c=\dfrac{10.01}{0.616}

c=16.25

Hence, the measurement of AB is 16.25 units.

6 0
2 years ago
How much does 2.5 L of oil cost if 2,000 mL costs $5.00?<br> Show work
kkurt [141]

Answer:

$6.25

Step-by-step explanation:

2000ml = 2 litres

2.5L - 2L = 500ml

So now we know that without the 500ml, it is 5 dollars.

Find out how much 500 ml cost.

2000ml = 5.00

1ml = 5.00 ÷ 2000 = 0.0025

500ml = 0.0025 x 500 = 1.25

2L + 500 ml = 2.5L (which 2.5L costs 6.25)

5 0
3 years ago
Heidi has an average score of 78 for her first six chemistry tests. If Heidi"s scores for the first four tests were 82,78,87, an
elixir [45]

Answer:

(A)74

Explanation:

Let her average score on the last two tests = x.

The six scores will now be: 82,78,87,73, x and x.

Since the average score for her first six chemistry tests = 78

\frac{82+78+87+73+x+x}{6}=78

We then solve for x.

\begin{gathered} 320+2x=78\times6 \\ 320+2x=468 \\ 2x=468-320 \\ 2x=148 \\ x=\frac{148}{2} \\ x=74 \end{gathered}

Her average score for the last two tests is 74.

3 0
1 year ago
Dose anybody know this need the answer asp
Lynna [10]

Answer:

I show you the graph in the file

hope it help!

4 0
3 years ago
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