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3 years ago

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I need help with this

1 answer:

Nikitich [7]3 years ago

6 0

Answer:

sience -2 is to the left of 2

_

. 3

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Write an equation of the line in point slope form parallel to y=1/3x-5 through point (3,-7)

Mashcka [7]

Hmmm so, parallel lines have the same slope, so a line that's parallel to <span>y=1/3x-5, will also have the same slope as that one, what would that be anyway? </span> $\bf y=\stackrel{slope}{\cfrac{1}{3}}x-5$ , well, low and behold, since that equation is in slope-intercept form already, we can see is just 1/3.
<span>
so, what is the equation of a line whose slope is 1/3 and runs through 3, -7?

</span> $\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~ 3 &,& -7~)
\end{array}
\\\\\\
% slope = m
slope = m\implies \cfrac{1}{3}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-7)=\cfrac{1}{3}(x-3)\implies y+7=\cfrac{1}{3}(x-3)$ <span>
</span>

5 0

3 years ago

Read 2 more answers

A store sees 120 customers in 8 hours. What is the unit rate ( in customers per hour)?

N76 [4]

Answer:

15 per hour

Step-by-step explanation:

120 people / 8 hours = 15 peeps per hour!

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3 years ago

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What fraction divided by 2/3=3/4?

e-lub [12.9K]

2/3 divided by 1/2 equals 3/4.

So your answer would be 1/2.
------

4 0

3 years ago

Esther's company has been contracted to lay carpet in a room at a new observatory. The floor plan for the room is in the shape o

timofeeve [1]

Answer:

3960 ft²

Step-by-step explanation:

The pentagon has been split into 5 congruent triangles.

<u>Each triangle has area of:</u>

1/2*48* $\sqrt{40.8^2 - (48/2)^2}$ = 24* $\sqrt{1088.64}$ = 24*33 = 792 ft²

<u>The area of the room is:</u>

792*5 = 3960 ft²

5 0

2 years ago

Omar has decided to purchase an $11,000 car. He plans on putting 20% down toward the purchase, and financing the rest at 4.8% in

Solnce55 [7]

Answer:

The monthly payment is $262.95

Step-by-step explanation:

* Lets explain how to solve the problem

- Omar has decided to purchase an $11,000 car

- He plans on putting 20% down toward the purchase

* Lets find the value of the 20%

∵ The principal value is $11000

∴ the value of the 20% = 20/100 × 11000 = 2200

∴ He will put $2200 down

* Lets find the balance to be paid off on installments

∴ The balance = 11000 - 2200 = 8800

- He financing the rest at 4.8% interest rate for 3 years

* Lets find the rule of the monthly payment

∵ $pmt=\frac{\frac{r}{n}[P(1+\frac{r}{n})^{nt}]}{(1+\frac{r}{n})^{nt}-1}$ , where

- pmt is the monthly payment

- P = the investment amount

- r = the annual interest rate (decimal)

- n = the number of times that interest is compounded per unit t

- t = the time the money is invested or borrowed for

∵ P = 8800

∵ r = 4.8/100 = 0.048

∵ n = 12

∵ t = 3

∴ $pmt=\frac{\frac{0.048}{12}[8800(1+\frac{0.048}{12})^{3(12)}]}{(1+\frac{0.048}{12})^{3(12)}-1}$

∴ $pmt=\frac{0.004[8800(1.004)^{36}]}{(1.004)^{36}-1}=262.95$

* The monthly payment is $262.95

8 0

3 years ago