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Mrrafil [7]
3 years ago
8

The slope intercept form of the equation of a line that passes through point (-2, -13) is y = 5x - 3. What is the point slope fo

rm of the equation for this line?
A. y - 13 = 5(x - 2)

B. y + 13 = 5(x + 2)

C. y - 2 = 5(x - 13)

D. y + 2 = 5(x + 13)
Mathematics
1 answer:
Alona [7]3 years ago
5 0

Answer:

B. y+13=5(x+2)

Step-by-step explanation:

I personally do y=_+_(x-_) when solving these equations

Plug in -2 the x coordinate for (x- (-2) to be (x+3)

Plug in -13 for the y intercept.

5 from 5x is the slope.

Thus y=-13+5(x+3)

Then just move 13 to the other side

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Please help!!!!!!!!!!!
Assoli18 [71]

<u>Let's take this problem step by step:</u>

<u>To find the ordered pair of the system:</u>

⇒ must set both equations equal to each other

    ⇒ and solve for 'x'

<u>Let's solve:</u>

 x^2-2x+3=-2x+19\\x^2-2x+2x+3-19=0\\x^2-16=0\\(x+4)(x-4)=0

<u>Let's find the x-values:</u>

   (x-4)=0\\x=4\\\\(x+4)=0\\x=-4

<u>Let's find f(x)'s value for each 'x':</u>

 x=4\\f(4)=-2(4)+19=-8+19=11\\\\x=-4\\f(-4)=-2(-4)+19=8+19=27

<u>Answer: (4, 11), (-4,27)</u>

Hope that helps!

#LearnwithBrainly

3 0
2 years ago
Simplify: (−2)3 · (−2)4 <br> A) (−2)12 <br> B) (−2)7 <br> C) 212 <br> D) 27
Dahasolnce [82]
Since both sides have a -2 in then you can pull it out making the equation -2(3*4) which equals -2(12) so A is correct
3 0
3 years ago
Read 2 more answers
Find the volume of the rectangular prism.
Luden [163]

Answer:

30

Step-by-step explanation:

just becausr

6 0
3 years ago
Ana is 12 years old, her brother Joe is 3 years old. Find the ratio between Ana's age and Joe's age.​
zalisa [80]

Answer:12/3=4

ratio 4:1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
(with steps please) Find the inverse Laplace transform, f(t), of the function: s/((s^2+9)*(s^2+16))
sveta [45]

Answer:

Step-by-step explanation:

Given is a Laplace transform of f(t) as

F(s) = \frac{s}{(s^2+9)(s^2+16)}

Let

\frac{s}{(s^2+9)(s^2+16)}=\frac{As+B}{(s^2+9)}+\frac{Cs+D}{(s^2+16)}

Solving we get \:s=s^3\left(A+C\right)+s^2\left(B+D\right)+s\left(16A+9C\right)+\left(16B+9D\right)

A+C=0:  B+D=0: 16A+9C=1 and 16B+9D=0

Solving B=0=D

A=\frac{1}{7} \\C=\frac{-1}{7}

Hence we have

f(t) = inverse Laplace of

\frac{1}{7}[ \frac{s}{(s^2+9)}-\frac{s}{(s^2+16)}]

=\frac{1}{7} (cos 3t-cos 4t)

4 0
3 years ago
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