MATHEMATICS HIGH SCHOOL

The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ? Use the distance formula to help you decide: .

Answers

Answer 1

Answer: m=6,a'b'=3.5 square root 37

Answer 2

Answer:

Answer:

The slope is m=6 and length of line is $d' =3.5√(37)$

Step-by-step explanation:

Given : The endpoints of line AB are A(2, 2) and B(3, 8). Line AB is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image line A'B' .

To find : What are the slope (m) and length of line AB?

Solution :

The slope of a line does not change.

Slope formula is,

$m=(y_2-y_1)/(x_2-x_1)$

The slope of AB A(2, 2) and B(3, 8) is :

$m=(8-2)/(3-2)\n\nm=(6)/(1)\n\nm=6$

Distance formula, $d = √((x_2-x_1)^2 + (y_2-y_1)^2)$

The length of AB by distance formula,

$d = √((3 - 2)^2+(8-2)^2)\nd = √((1)^2+(6)^2)\nd=√(1+36)\nd=√(37)$

Line AB is dilated by a scale factor of 3.5.

The length of A'B' is :

$d' =3.5*√(37)\nd' =3.5√(37)$

Therefore, The slope is m=6 and length of line is $d' =3.5√(37)$

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Pablo has $4,200 to invest for college. Pablo's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%?

Answers

Pablo has $4,200 to invest for college. Pablo's goal is to have $5,000 after 4 years. Question: Is this possible if he invests with a rate of return of 6%?We'll we are not sure with the answer unless we solve it. So let's start solving.=> 6% = 6% / 100% = 0.06Now, we have the value of 6% that will be multiplied with the amount to identify his annual interest rate:=> $4,200 * 0.06 = 252 dollars is his annual interest rateLet's multiply this for 4 years=> 252 dollars * 4 = 1008 dollarsThen, let's sum up:=> $4,200 + 1008 dollars = 5 208 dollars.

Answer:

Yes it is.

Step-by-step explanation:

A number decreased by 5 is less than 32

Answers

To find the answer to this question, we need to set up a simple inequality. Let's use n to represent the number we're looking for, and, since the number is less than 32, we'll use the < symbol.

n - 5 < 32 A number decreased by 5 is less than 32
n < 37 Add 5 to both sides

Therefore, the number is less than 37. It could be 36 or lower.

Hope this helps!

Which fraction (in simplest form) is equivalent to 0.42?A.42/100
B.10/42
C.1/2
D.21/50

Answers

If you would like to know which fraction (in simplest form) is equivalent to 0.42, you can find this using the following steps:

0.42 = 42/100 = 21/50

The correct result would be D. 21/50.

Answer:

Step-by-step explanation:

Read the complete problem before answering. Tang bought m of rope. Rope costs $1.30 a meter. How much did Tang spend? A student solved the problem this way. m = 1.5 m Let n represent the amount Tang paid for rope. n = 1.5 × $1.30 n = $1.95 Tang spent $1.95. Use a similar strategy to solve this problem. Jeff bought yards of blue denim and yards of black denim. Denim cost $4.30 a yard. How much did Jeff spend on denim? A. $3.50 B. $7.80 C. $12.90 D. $15.05

Answers

You would do 4.30*(how many yards) which would equal the total price. But I cannot solve it for you seeing as the question lacks the necessary information.

Two fifths of the square of a number j algebraic exxpression

Answers

Answer:

$(2)/(5)j^(2)$

Step-by-step explanation:

We have a number represented by the letter $j$ .

The question asks for two fifths $((2)/(5) )$ of the square of this number.

To square a number means to multiply a number by itself. The result will be the number raised to the power of 2. Applying this to $j$ , we get $j*j$ $=j^2$
Two fifths of this term ( $j^2$ ) is $(2)/(5)j^(2)$ . This is our final answer.

Hope this helps!

Goran made 6 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 6 necklaces was $33.60 . If the beads cost $2.90 for each necklace, how much did each pendant cost?

Answers

2.90*6=17.40
33.60-17.40=$16.20
16.20/6=$4.05

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