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2 years ago

Question 3 of 35

Mathematics

1 answer:

Scilla [17]2 years ago

3 0

Answer:

Step-by-step explanation:

5×4=20

4×5=20

.......

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under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box

Anestetic [448]

Step-by-step explanation:

The equation of line passing through the two points is $\frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}$

When substituted,the equation becomes $\frac{y-6}{x-2}=\frac{18-6}{6-2}$

which when simplified is $y=3\times x$

The line clearly passes through origin.

The distance between two points is $\sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}$

Distance between origin and $(2,6)$ is $\sqrt{40}$ .

Distance between origin and $(6,18)$ is $\sqrt{360}$

Scale factor is $\frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}$

So,scale factor is $\frac{\sqrt{360} }{\sqrt{40} }$

which when simplified becomes 3.

6 0

3 years ago

Calculate the radicand of f(x)=x^2+20x+97 and state what it tells you about the roots of the function. Then solve the function u

Furkat [3]

Answer: The roots are x=-10 +- root 3.

Step-by-step explanation:

7 0

3 years ago

Which comparison is true?

tiny-mole [99]

Answer is b I just did it

7 0

3 years ago

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A line has a slope of 2 and passes (5,3). Find a coordinate of another point this line will pass through. Plz show work.

Snowcat [4.5K]

Answer:

(6,5)

Step-by-step explanation:

The slope means y travels 2 while x travels 1. So 5+1 would be x and 3+2 would be y.

4 0

3 years ago

Read 2 more answers

a man buys few books at rs 72 each and few pens at rs 25 each .if he buys 11 articles and pays rs 510 find the number of each ar

ivanzaharov [21]

Answer:

Given :

A man buys a few number of books at RS 72 each and a few number of pens at RS 25 each .

To Find :

If he buys 11 articles and pays RS 510 altogether,find the number of each article bought by him .

Solution:

Total no. of article = 11

Let x be the no. of books bought for RS 72 each

So, No. of pens bought for RS 25 each = 11-x

Cost of x books = 72x

Cost (11-x) pens = 25(11-x)

He buys 11 articles and pays RS 510 altogether

So,72x+25(11-x)=510

72x+275-25x=510

47x=510-275

x=5

So,No. of pens bought for RS 25 each = 11-x=11-5=6

Hence 6 pens and 5 books were bought by him.

Step-by-step explanation:

7 0

3 years ago