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2 years ago

Write the equation of the line that passes through the given point and is perpendicular to the given line (-6,-3);y=-2/5x

Mathematics

1 answer:

Paladinen [302]2 years ago

6 0

Answer:

5x-3y+36=0

Step-by-step explanation:

ME TrYINg

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Given that f(x) = 19x2 + 152, solve the equation f(x) = 0

telo118 [61]

Option A

The solution is:

$x = \pm 2i \sqrt{2}$

Solution:

$f(x) = 19x^2+152$

We have to solve the equation f(x) = 0

Let f(x) = 0

$0=19x^2+152$

Solve the above equation

$19x^2 + 152 = 0$

$\mathrm{Subtract\:}152\mathrm{\:from\:both\:sides}\\\\19x^2+152-152=0-152\\\\Simplify\ the\ above\ equation\\\\19x^2 = -152\\\\\mathrm{Divide\:both\:sides\:by\:}19\\\\\frac{19x^2}{19} = \frac{-152}{19}\\\\x^2 = -8$

Take square root on both sides

$x = \pm \sqrt{-8}\\\\x = \pm \sqrt{-1}\sqrt{8}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\x = \pm i\sqrt{8}\\\\x = \pm i \sqrt{2 \times 2 \times 2}\\\\x = \pm 2i\sqrt{2}$

Thus the solution is found

5 0

2 years ago

2 dogs/ 3 cats and 10 dogs/ 15 cats are an example of

Bad White [126]

2 dogs/ 3 cats and 10 dogs/ 15 cats are an example of

b. Equivalent ratios
__________________________

$\frac{10 \: dogs}{15 \: cats} = \frac{5 \times 2 \: dogs}{ 5 \times 3 \: cats} = \frac{2 \: dogs}{3 \: cats} \\$

We can see that they are equivalent ratios.

6 0

2 years ago

Which kind of triangle is shown?

Artemon [7]

Answer:

Option D

Right scalene

Step-by-step explanation:

It is the right angle triangle and not all sides are equal hence it's a Right scalene

-TheUnknownScientist 72

3 0

1 year ago

Read 2 more answers

{y>−2x+y≤4 (0, −4) (1, 5) (−2, −3) (1, 3)

Yuliya22 [10]

The answer are (1, 5) and (1, 3)

6 0

3 years ago

Suppose your mom or dad asks you to make a triangular garden in the backyard. You know that one side of your yard (AC) is 100 ya

SVEN [57.7K]

Answer:

23.5°

Step-by-step explanation:

Use the law of sines:

AC / sin B = AB / sin C
100 / sin B = 250 / sin 95°
sin ∠B = 100 sin 95° / 250
sin ∠B = 0.39847787923
m∠B = arcsin 0.39847787923
m∠B = 23.5° (rounded up)

6 0

2 years ago