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3 years ago

Write the equation of the line perpendicular to 3x+y=-8 that passes through (-3,1) . Write your answer in slope-intercept form.

Mathematics

2 answers:

murzikaleks [220]3 years ago

3 0

I hope this helps you

vovangra [49]3 years ago

3 0

The perpendicular vector of 3x + y = -8 would be [3, 1]. Thus, you know that the slope would be 1/3 (the vector is in the form of [x, y]).

Use point-slope form with the perpendicular slope and the point (-3, 1):
$y - y_1 = m(x-x_1)$
$y - 1 = \frac{1}{3}(x + 3)$

You can simplify this if you want to (maybe to make it look a bit more "cleaner") and either put it as standard form or slope-intercept form.

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Merideths brother, miles, is 3 years younger than twice her age. The sum of their ages is 24. Create an equation to determine th

Diano4ka-milaya [45]

Answer:

Step-by-step explanation: Do 24 / 3 is 8

and to check your work do 8 x 3 which is 24

Hope This Helps ^_^

3 0

3 years ago

Detmermine the best method to solve the following equation, then solve the equation. (3x-5)^2=-125

liq [111]

For the given equation;

$(3x-5)^2=-125$

We shall begin by expanding the parenthesis on the left side, after which we would combine all terms on and move all of them to the left side, which shall yield a quadratic equation. Then we shall solve.

Let us begin by expanding the parenthesis;

$\begin{gathered} (3x-5)^2\Rightarrow(3x-5)(3x-5) \\ (3x-5)(3x-5)=9x^2-15x-15x+25 \\ (3x-5)^2=9x^2-30x+25 \end{gathered}$

Now that we have expanded the left side of the equation, we would have;

$\begin{gathered} 9x^2-30x+25=-125 \\ \text{Add 125 to both sides and we'll have;} \\ 9x^2-30x+25+125=-125+125 \\ 9x^2-30x+150=0 \end{gathered}$

We shall now solve the resulting quadratic equation using the quadratic formula as follows;

$\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{Where;} \\ a=9,b=-30,c=150 \\ x=\frac{-(-30)\pm\sqrt[]{(-30)^2-4(9)(150)}}{2(9)} \\ x=\frac{30\pm\sqrt[]{900-5400}}{18} \\ x=\frac{30\pm\sqrt[]{-4500}}{18} \\ x=\frac{30\pm\sqrt[]{-900\times5}}{18} \\ x=\frac{30\pm\sqrt[]{-900}\times\sqrt[]{5}}{18} \\ x=\frac{30\pm30i\sqrt[]{5}}{18} \\ \text{Therefore;} \\ x=\frac{30+30i\sqrt[]{5}}{18},x=\frac{30-30i\sqrt[]{5}}{18} \\ \text{Divide all through by 6, and we'll have;} \\ x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3} \end{gathered}$

ANSWER:

$x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3}$

3 0

1 year ago

Need help with slope practice assignment eight greade

Viktor [21]

Answer: Option D is correct. The function equation y= -16x^2 + 9x + 4

is non-linear.

Step-by-step explanation:

It is not linear because it is a quadratic function.

You can see this on the graph in the photo below:

, Hope this helps :)

Have a great day!!

6 0

3 years ago

Read 2 more answers

53, Margie usually drinks 12.25 liters of water in one week (7 days), 1 she continues to drink water at the same rate, what is t

Anna [14]

Using the information given in the question, the total number of liters Margie will drink in a 4 week period is 39

Consider the given information:

12.25 liters per week
Continues this for 4 weeks

Equation formed with said information:

Liters per week × The 4-week period

Solving the equation

12.25 × 4

= 49

Therefore, after the 4-week period Margie would of drank 49 liters

4 0

2 years ago

Chris Johnson earns $34,850 annually as an engineer. She single on sports your father. The state tax rate in her state is 3% of

Natasha2012 [34]

Answer: 1,045.50

Step-by-step explanation: hope this helps champ.

6 0

3 years ago