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Andreyy89
3 years ago
11

A line has a slope of -2/3 and passes through the point (-3, 8). What is the equation of the line?

Mathematics
1 answer:
dexar [7]3 years ago
5 0

Answer:

y= -2/3x+6

Step-by-step explanation:

Using slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -2/3x +b

Substitute the point into the equation

8 = -2/3(-3) +b

8 = 2+b

8-2 =b

6=b

y= -2/3x+6

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HELP PLEASEEEEE<br><br><br> Combine like terms to simplify the expression:<br> 1.17-0.07a+(-3.92a)
chubhunter [2.5K]

Answer: hope this helps


Step-by-step explanation:

Simplifying

1.17 + -0.07a + (-3.92a) = 0

Combine like terms: -0.07a + (-3.92a) = -3.99a

1.17 + -3.99a = 0

Solving

1.17 + -3.99a = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1.17' to each side of the equation.

1.17 + -1.17 + -3.99a = 0 + -1.17

Combine like terms: 1.17 + -1.17 = 0.00

0.00 + -3.99a = 0 + -1.17

-3.99a = 0 + -1.17

Combine like terms: 0 + -1.17 = -1.17

-3.99a = -1.17

Divide each side by '-3.99'.

a = 0.2932330827

Simplifying

a = 0.2932330827

6 0
3 years ago
When is g(x) = 0 for the function g(x) = 5.2 3x + 4?
kicyunya [14]
G(x) = 0 can never happen.

When x is 0, the answer is 4
When x is 1, the answer is 19.6
When x is 4, the answer is 66.4

According to Wolfram Alpha though, x is equal to -(10/39). If that's not a choice for you, don't worry about it. :)
6 0
3 years ago
Rewrite the expression using the distributive property <br><br> 2(4 + X)
Novosadov [1.4K]

Answer:

2(4 + X)

2*4 + 2*X

8+2X

thank you

Step-by-step explanation:

hope my answer is helpful to you

3 0
3 years ago
Read 2 more answers
Pls pls help<br> Show work :)
Natasha2012 [34]

9514 1404 393

Answer:

  31.243 units

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.

  Sin = Opposite/Hypotenuse

  sin(30°) = BE/100

  BE = 100·sin(30°)

Then ...

  Tan = Opposite/Adjacent

  tan(58°) = BE/x

  x = BE/tan(58°) = 100·sin(30°)/tan(58°)

  x ≈ 31.243 . . . . units

_____

<em>Comment on the figure</em>

The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.

5 0
3 years ago
Please , can someone answer thisss TmT
Tems11 [23]

Answer:

7

Step-by-step explanation:

We have that x1=−1, y1=5, x2=3, y2=7.

Plug the given values into the formula for a slope: m=7−(5)3−(−1)=12.

Now, the y-intercept is b=y1−mx1 (or b=y2−mx2, the result is the same).

b=5−(12)(−1)=112

Finally, the equation of the line can be written in the form y=b+mx:

y=112+x2

ANSWER

5 0
3 years ago
Read 2 more answers
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