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eduard
3 years ago
15

Write the slope intercept form through (-1, -1), perp to y= 1/3x -3

Mathematics
1 answer:
amid [387]3 years ago
6 0

Answer:

y = - 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{3} x - 3 ← is in slope- intercept form

with slope m = \frac{1}{3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{3} } = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (- 1, - 1) into the partial equation

- 1 = 3 + c ⇒ c = - 1 - 3 = - 4

y = - 3x - 4 ← equation of perpendicular line

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Oksi-84 [34.3K]
X^-n duals: 1/x^n. You cannot have negative exponents so do its inverse to get rid of the negative exponent
7 0
3 years ago
Write the equation. Nell sold 125 packages of cookies at the bake sale. Each package was tied with 2 ribbons. How many ribbons w
Bingel [31]

Answer:

Equation: 125 x 2 = x

250 ribbons

Step-by-step explanation:

We have to find the total number of ribbons used. Since Nell sold 125 packages of cookies and each package has 2 ribbons, we can make the equation 125 x 2 = x. Let x = the number of ribbons used in total. We multiply them to get 250. Therefore, 250 ribbons were used.

I hope this helped and please mark me as brainliest!

5 0
3 years ago
What are the solutions to this problem? (use the quadratic formula and i)<br><br> -2x^2+5x-11=0
Sever21 [200]

Step-by-step explanation:

The quadratic formula is:

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

A, in this case, is -2.

B is 5

C is -11

x = \frac{-5 \pm\sqrt{5^2-4(-2)(-11)} }{2(-2)}

x = \frac{-5\pm\sqrt{25 -88} }{-4}\\

x = \frac{-5\pm\sqrt{-63}}{-4}

x = \frac{-5+i\sqrt{63} }{-4} and \frac{-5-i\sqrt{63} }{-4}

We can break up the fraction to make it easier on our eyes

x = \frac{5}{4}\pm\frac{i\sqrt{63} }{4}

\frac{\sqrt{63} }{4} ≈1.9843

x = 1.25 + 1.9843i\\1.25 - 1.9843i

7 0
3 years ago
Read 2 more answers
If the value of b is 7, then what is the value of the expression -3b2 + 25 = ? A. 122 B. –122 C. 172 D. 17
natali 33 [55]
We first need to substitute in the value of b, which is 7. 

-3(7)^2 + 25 \\ \\ -3 \times 49 + 25 \\ \\ -147 + 25 \\ \\ -122 \\ \\

The final result is, B) -122.
8 0
3 years ago
Read 2 more answers
SHOW STEPS PLEASE...
zavuch27 [327]

9514 1404 393

Answer:

  (5 15/20) -(2 8/20) = 3 7/20

Step-by-step explanation:

Problems in "least common denominator" are made much easier if you are familiar with your times tables.

When you compare the denominator 4 to the denominator 20, you see that ...

  20 = 5 × 4

An equivalent fraction is made by multiplying by 1. Here, the version of 1 you want for the top fractions is 5/5.

  \dfrac{3}{4}= \dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{3\cdot5}{4\cdot5}=\dfrac{15}{20}

Similarly, the bottom fraction has its denominator multiplied by 4 to get from 5 to 20. The equivalent fraction is found by multiplying the numerator by the same number.

  \dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}

Then the desired difference is ...

  5\dfrac{15}{20}-2\dfrac{8}{20}=(5-2)+\left(\dfrac{15-8}{20}\right)=3\dfrac{7}{20}

6 0
3 years ago
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