Given two points, (5, –8) (–2, 6), what is the equation of the line containing them both?

Rectangle A is a scale drawing of Rectangle B and has 25% of its area. If rectangle A has side lengths of 4 cm and 5 cm , what a

SpyIntel [72]

Answer:

8 cm and 10 cm

Step-by-step explanation:

Hello, <em> </em>I can help you with this.

Step 1

According to the question there are two rectangles A and B,

Rectangle A is a scale drawing of Rectangle B and has 25% of its area

in other words

$Area_{A}=0.25*Area_{B} (Equation\ 1)\\$

Step 2

Let

Rectangle A

length (1)= 4 cm

length (2)= 5 cm

$Area_{A}=4\ cm * 5\ cm\\Area_{A}=20\ cm^{2}$

put this value into equation 1

$Area_{A}=0.25*Area_{B} (Equation\ 1)\\\\20\ cm^{2} =0.25*Area_{B} \\divide\ each\ side\ by\ 0.25\\\frac{20\ cm^{2} }{0.25}=\frac{0.25}{0.25}*Area_{B}\\ Area_{B}=80\ cm^{2}$

Now, we know the area of rectangle B, to know its length we need to formule other equation

Step 3

$Area_{B}=80\ cm^{2}\\length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\$

the ratio between the lengths must be constant, so the ratio of A must be equal to ratio in B, then

$\frac{length(1A)}{length(2A)}=\frac{length(1B)}{length(2B)} \\\\\\frac{4}{5}= \frac{length(1B)}{length(2B)}\\0.8=\frac{length(1B)}{length(2B)}\\length(1B)=0.8*length(2B) (Equation 3)$

Step three

using Eq 1 and Eq 2 find the lengths

put the value of length(1B) into equation (2)

$length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\\(0.8*length(2B)) (*length (2B)=80\ cm^{2} \\\\0.8*(length (2B))^{2} =80\ cm^{2}\\(length (2B))^{2} =\frac{80\ cm^{2}}{0.8} \\(length (2B))^{2}=100\\\sqrt{(length (2B))^{2}}=\sqrt{100\ cm^{2}} \\ length (2B)=10\ cm$

Now, put the value of length(2B) into equation 3 to know length (1B)

$length(1B)=0.8*length(2B)\\length(1B)=0.8*10\ cm\\length(1B)=8 cm$

I really hope this helps you, have a great day.

6 0

3 years ago

Farrah's annual salary is £27,750. how much does she get paid per week?

VashaNatasha [74]

Hello human

Answer:

532.19 per week

Explanation:

You divide 27750 by 52.143 Because there are 52.143 weeks per year.

Thank you and gn ❤️✌

7 0

3 years ago

USA test prep please answer

aleksandr82 [10.1K]

I think it’s c sorry if it’s wrong

8 0

3 years ago

Read 2 more answers

Walter is 43 years old his daughter Paulette is 7. In how many years will Paulette be one-third of Walters age

Ksju [112]

The answer is 14 when rounded to the nearest whole number, to get this you simply must divide 43 by 3 which equals to 14.333.

8 0

3 years ago

HELP PLEASE ILL GIVE BRAINLISTTTT!!!

Ber [7]

Answer:

Ok I’ll give a simple equation that your teacher probably won’t accept and one that your teacher will accept

Teacher accept: x-45=122

Not accept but way easier: 122+45=x

ALSO The answer to x: 167

Step-by-step explanation:

Heres the loop hole, they asked for 2 sentences but never declared the length of each sentence.

Explanation:

So we know that grace lost 45 pounds and at the end she weighs 122.

We don’t now what the beginning weight so we can make an equation like x-45=122 where x represents her before weight and the subtract 45 is when she lost that much and the final results of 122, if solved You’ll get her begginisng weight, 167.

8 0

3 years ago