Find the surface area of the prism.

What is an equation of the line that passes through (-2,3) and is parallel to y=5x + 4.Give your answer in slope intercept form

9966 [12]

Answer:

y= 5x+13

Step-by-step explanation:

Slope- intercept form

y= mx +b, where m is the gradient and b is the y-intercept.

Parallel lines have the same gradient.

y= 5x +4

Gradient of given line= 5

Thus, gradient of line= 5

Subst. m=5 into the equation.

y= 5x +b

To find the value of b, substitute a coordinate

When x= -2, y=3,

3= 5(-2) +b

3= -10 +b

b= 3 +10 (+10 on both sides)

b= 13

Thus, the equation of the line is y= 5x +13.

8 0

4 years ago

1. A farmer collected eggs from his chickens.

GaryK [48]

Answer:

12×5 =60

60-9 =51

51-4 =47

Step-by-step explanation:

the farmer has 12 chickens and each chicken laid 5 eggs which is 12×eggs laid(5) = 60

he thre away 9 eggs which means that we are going to subtract 9 from 60

60-9=51

then he took 4 eggs for himself know we subtract 4 from 51

51-4= 47

and 47 are the eggs he took to the market

7 0

3 years ago

If p varies directly as q and q= 70 when p= 10, find q when p = 12

stellarik [79]

$\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill$

$\stackrel{\textit{"p" varies directly as "q"}}{p~~ = ~~kq}\qquad \textit{we also know that} \begin{cases} q=70\\ p=10 \end{cases}\implies 10=k70 \\\\\\ \cfrac{10}{70}=k\implies \cfrac{1}{7}=k\hspace{15em}\boxed{p=\cfrac{1}{7}k} \\\\\\ \textit{when p = 12, what is "q"?}\qquad 12=\cfrac{1}{7}q\implies 12=\cfrac{q}{7}\implies 84=q$

5 0

1 year ago

a car manufacturer determines that it's profit, P, in thousands of pesos, can be modeled by the function P(x)=0.001 25x4+x-2, wh

PSYCHO15rus [73]

Answer:

use a calculator itl be easy

Step-by-step explanation:

substitute x to 150

=0.00125(x)^4+x-3

=0.00125(150)^4+150-3

WE ARE USING PEDMAS HERE SO BE CARE-FULL parenthesis,exponent,multiplication,division,addition,subtraction

=0.00125(506250000)+150-3

=632812.50+150-3

=632962.50-3

=632959.50

I AM SO SORRY IF IT IS WRONG :)

3 0

4 years ago

A carpet manufacturer is inspecting for flaws in the finished product. If there are too many blemishes, the carpet will have to

balandron [24]

Answer:

Neither binomial nor normal distribution

Step-by-step explanation:

In binomial distribution Sumner of trials are fixed and there is only two outcomes either success or failure

But in this question there are no fixed trials and outcomes is not proper so this is not a binomial distribution.

In normal distribution there is information of mean and variance which is also not give in the question so it is also nit a normal distribution

So it is neither binomial nor normal distribution

7 0

3 years ago