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Dmitrij [34]
3 years ago
11

Write an equation in point slope form of the line that passes through the point (2,-8) and had a slope of 4

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0
Point slope: y - y1 = m(x - x1)
Plug those in
Solution: y + 8 = 4(x - 2)
You might be interested in
If tan ⁡x=12/5, and 0°
Charra [1.4K]

The value of sin(2x) is \frac{120}{169}

Explanation:

Given that tan x =\frac{12}{5}

The formula for sin(2x) is \sin (2 x)=2 \sin x \cos x

Since, \tan x=\frac{o p p}{a d j}

Also, it is given that tan x =\frac{12}{5}

Thus, opp=12 and adj=5

To find the hypotenuse, let us use the pythagoras theorem,

\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}

Now, we can find the value of sin x and cos x.

\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}

\cos x=\frac{a d j}{h y p}=\frac{5}{13}

Now, substituting these values in the formula for sin 2x, we get,

\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}

Thus, the value of sin(2x) is \frac{120}{169}

8 0
3 years ago
Ms. Reynolds has a system of 10 sprinklers that water her entire lawn. The sprinklers run one at a time, and each runs for the s
Flauer [41]
You are told that sprinklers run for the same amount of time. lets refer to this time as T.
you are told that 4 sprinkles run one at a time for 50 minutes total. that means that T should be 50/4 = 12.5 minutes = 12 minutes and 30 seconds
3 0
3 years ago
What is the answer to 6(1+8n)=-39+3n
MissTica

For this case we must simplify the following expression:

6 (1 + 8n) = - 39 + 3n

We apply distributive property on the left side of the equation:

6 * 1 + 6 * 8n = -39 + 3n\\6 + 48n = -39 + 3n

We subtract 3n from both sides of the equation:

6 + 48n-3n = -39\\6 + 45n = -39

We subtract 6 from both sides of the equation:

45n = -39-6\\45n = -45

We divide between 45 on both sides of the equation:

n = \frac {-45} {45}\\n = -1

Answer:

n = -1

5 0
3 years ago
Given that a=43 ,b=82 , and c=28, solve triangle abc. round to the nearest tenth.
Virty [35]

Answer:

NO triangle exists.

Step-by-step explanation:

Given that the sides of the triangle are  a=43 ,b=82 , and c=28

To solve for unknown angles of the triangle

PLease refresh the triangle rule of inequality that the sum of any two sides is always greater than the third side

Before solving the triangle, let us check whether this is true.

a+b >c

b+c>a

But a+c is not greater than b.

Hence there cannot be any real triangle with these sides given.

Answer is no triangle exists.

3 0
3 years ago
Read 2 more answers
FLIP OR NOT TO FLIP?<br> A. -4x + 2 &lt; -2<br> B. - 9&gt;-8<br> -7.
vivado [14]

Answer:

the answer is not flip because when u calculate it

5 0
3 years ago
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