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3 years ago

What is the equation of the line that passes through the point (-5, 4) and has a

Mathematics

1 answer:

Scilla [17]3 years ago

5 0

Answer:

y=-3/5(x+5)+4

Step-by-step explanation:

y=m(x-h)+k

y=-3/5(x+5)+4

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Please answer this question

max2010maxim [7]

As it is given :

Present age of mom : Present age of son = 6 : 1

Therefore let :

Mother's age be 6x

Son's age be x

Ages after 10 year :

Mom's age = 6x + 10

Son's age = x + 10

<h3>Part three :</h3>

The ages after 10 years are given in rational of 8 : 3.

Which means :

Mom's age after 10 years : Son's age after 10 years = 8 :3.

Now :

$\scriptsize \purple{ \boxed{ \scriptsize \dfrac{ \text{Mom's age after 10 years}}{ \text{son's age after 10 years}}= \dfrac{8}{3} }} \star$

$\\ \\$

So :

$\small\sf \dashrightarrow \dfrac{6x + 10}{x + 10} = \sf \dfrac{8}{3}$

$\\ \\$

$\small\sf \dashrightarrow \dfrac{3(6x + 10)}{x + 10} = \sf \dfrac{8}{1}$

$\\ \\$

$\small \sf \dashrightarrow \dfrac{18x +30}{x + 10} = \sf \dfrac{8}{1}$

$\\ \\$

$\small\sf \dashrightarrow \dfrac{18x +30}{1} = \sf \dfrac{8(x + 10)}{1}$

$\\ \\$

$\small \sf \dashrightarrow 18x +30= \sf 8(x + 10)$

$\\ \\$

$\small\sf \dashrightarrow 18x +30= \sf 8x + 80$

$\\ \\$

$\small\sf \dashrightarrow 18x - 8x +30= \sf 80$

$\\ \\$

$\small \sf \dashrightarrow 10x +30= \sf 80$

$\\ \\$

$\small \sf \dashrightarrow 10x = \sf 80 - 30$

$\\ \\$

$\small \sf \dashrightarrow 10x = \sf 50$

$\\ \\$

$\small \sf \dashrightarrow \dfrac{10x}{10} = \sf \dfrac{50}{10}$

$\\ \\$

$\small \sf \dashrightarrow \dfrac{1\cancel0x}{1\cancel0} = \sf \dfrac{5\cancel0}{1\cancel0}$

$\\ \\$

$\small\bf \dashrightarrow x = \pink 5$

$\\$

We know :

$\footnotesize \hookrightarrow \sf Son's \: age = x$

$\footnotesize \hookrightarrow \sf Son's \: age = \red{5 \: years}$

$\\ \\$

$\footnotesize \hookrightarrow \sf Mother's \: age = 6x$

$\footnotesize\hookrightarrow \sf Mother's \: age = 6 \times 5$

$\footnotesize \hookrightarrow \sf Mother's \: age = \bf \red{30 \: years}$

And all we are done ! ㋛

4 0

2 years ago

Tatiana's book has an area of 88 square inches. what are the length and wide measurements of the book

Vedmedyk [2.9K]

A= l•w

So you can make it in any way! The one I got is 44•4 because

A= l•w
A= 4•22
A= 88

So I guess it depends on the way you want it as long as it equals 88 as long as you length and width are multiplied to make the 88, if you host what I mean!

3 0

3 years ago

Which graph represents y as a function of x?

Vilka [71]

Answer:

Bottom left.

Step-by-step explanation:

In order for any of them to be the graph of a function you would need that given a value of x, you get no more than one value of y. Zero is fine, you just picked an x out of the domain.

In layman's terms it means that if you grab a ruler, a piece of paper, a pen, and you scan the graph moving the edge parallel to the y axis (ie, vertically) you are allowed to touch the graph only once. Top right is out. Bottom left is ok, bottom right is not: you have infinite points of contact in there.

Top left would be fine, if it wasn't for x = 1. In there you have two values marked with a solid dot. That makes it not the graph of a function.

8 0

2 years ago

C.J bought a bag of birdseed for 4.25 he paid with a 5.00 bill.How much change did he get back.

ruslelena [56]

The answer is .75 if you have 5.00 and You Spent 4.25 So 4 Quarters Is A Dollar if you take a quarter. away from that 4.00 you will end up with .75 cents from the 5.00

8 0

3 years ago

Mr. Smith is paid $9.50 per hour for fixing watches. Write an expression for the amount of money Mr. Smith earns in h hours. In

storchak [24]

9.50 + (2.20)r

For example if he fixed 3 watches

9.50 + (2.20)3

We plug in 3 for r and he makes 6.60 extra.

8 0

3 years ago

Read 2 more answers