1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
melomori [17]
2 years ago
7

PLEASE HELP ME I AM ON A TEST

Mathematics
1 answer:
Juliette [100K]2 years ago
6 0

The equation in slope-intercept form represents a line that is parallel to y = 12x − 2 and passes through the point (−8,1) is y = 12x + 97

<em><u>Solution:</u></em>

Given that we have to write the equation in slope intercept form for line that is parallel to y = 12x − 2 and passes through the point (−8, 1)

<em><u>The slope intercept form is given as:</u></em>

y = mx + c  ---- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Given equation of line is y = 12x - 2

On comparing the above equation with eqn 1,

m = 12

Thus slope of line is 12

We know that slopes of parallel lines are equal

Therefore, slope of line parallel to given line is also 12

Given point is (-8, 1)

We have to find the equation of line passing through (-8, 1) with slope m = 12

Substitute m = 12 and (x, y) = (-8, 1) in eqn 1

1 = 12(-8) + c

1 = -96 + c

c = 97

Substitute c = 97 and m = 12 in eqn 1

y = 12x + 97

Thus the required equation of line is found

You might be interested in
I need help I don’t understand
professor190 [17]

Answer:

6

Step-by-step explanation:

you have to distributw the 4 to the 1/4 so essentially youre multiplying the exponents. think of it as 4*1/4 and youll have 4/4 which equals to 1. 6^1 is just 6 so thats the answer

3 0
3 years ago
Read 2 more answers
Solve using a2 + b2 = c2 <br> show ur work please :)
Brrunno [24]
So 90^2+90^2=c^2
8100+8100=c^2
16200=c^2
C= ~127.28
5 0
3 years ago
2x^2=9-3x <br> Find the factors
d1i1m1o1n [39]

Answer:

x = -3, $ \frac{3}{2} $

Step-by-step explanation:

The given quadratic equation is: $ 2x^2 = 9 - 3x $

This can be written as: $ 2x^2 + 3x - 9 = 0 $

To solve a quadratic equation of the form $ ax^2 + bx + c = 0 $ we use the formula:

           $ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $

Here, a = 2; b = 3; c = - 9

Therefore, the roots of the equation are:

$ x = \frac{- 3 \pm \sqrt{9 - 4(2)(-9)}}{2(2)} $

$ \implies x = \frac{-3 \pm \sqrt{81}}{4} $

$ \implies x = \frac{-3 \pm 9}{4} $

We get two values of 'x', viz.,

x = $ \frac{-3 + 9}{4} $ and $ \frac{- 3 - 9}{4} $

$ \implies x = \frac{6}{4} \hspace{5mm} \& \hspace{5mm} \frac{-12}{4} $

⇒ x = -3, 3/2

Since the factors of the quadratic equation is asked, we write it as:

(x + 3)(x - $ \frac{3}{2} $) = 0

because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.

Multiply (x + 3) and (x - $ \frac{3}{2} $ to see that this indeed is the given quadratic equation.

5 0
3 years ago
3m=2(4+x) solve for x
algol13
Simple.........

3m=2(4+x)

Simplify...

3m=2(4+x)

3m=8+2x

Isolate the variable....

3m=8+2x
-8      -8

3m-8=2x

\frac{3m-8}{2} = \frac{2x}{2}

\frac{3m}{2} -4=x

Thus, your answer.
4 0
3 years ago
Read 2 more answers
What number can be added to 1.38 to get zero?
Effectus [21]
-1.38. Say thank you, UR WELCome
6 0
3 years ago
Other questions:
  • Matt is standing on top of a cliff 305 feet above a lake. The measurement of the angle of depression to a boat on the lake is 42
    7·1 answer
  • Someone Please help me answer this question.
    8·2 answers
  • What is the perimeter of a this house
    9·1 answer
  • The table shows the values of a function f(x).
    6·1 answer
  • Which is a counterexample for the conditional?
    15·1 answer
  • A. Spreads the hourly earnings for career B are more spread out.
    5·1 answer
  • A circular "Do Not Enter" road sign has a diameter of 54 centimeters. Which measurement is closest to the area of the sign in sq
    11·1 answer
  • HELP IM TIMED<br><br> which expression represents the average of three test scores
    9·2 answers
  • Suppose Y(t) = 25e^3t + 12 represents the number of bacteria present at time t minutes. At what time will the population reach 1
    8·1 answer
  • Hey.... what's <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B343%7D%20" id="TexFormula1" title=" \sqrt[3]{343} " alt
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!