MATHEMATICS MIDDLE SCHOOL

Find the point B on AC such that the ratio of AB to BC is 2:3

Answers

Answer 1

Answer:

Answer:

B(4, - 3 )

Step-by-step explanation:

We have A(2, - 7) and C(7, 3 )

Using the section formula to calculate the coordinates of B

$x_(B)$ = $(3(2)+2(7))/(2+3)$ = $(6+14)/(5)$ = $(20)/(5)$ = 4

$y_(B)$ = $(3(-7)+2(3))/(2+3)$ = $(-21+6)/(5)$ = $(-15)/(5)$ = - 3

Hence B(4, - 3 )

Answer 2

Answer:

2 1/5, 1/5

Step-by-step explanation:

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The function f(x) = 5One-fifth is reflected over the y-axis. Which equations represent the reflected function? Select two options.f(x) = One-fifth
f(x) = One-fifthOne-fifthOne-fifth
f(x) = 5One-fifth
f(x) = 5(5)x
f(x) = 5(5)–x

Answers

Answer:

The equations that represent the reflected function are

$f(x)=5((1)/(5))^(-x)$

$f(x)=5(5)^(x)$

Step-by-step explanation:

The correct question in the attached figure

we have the function

$f(x)=5((1)/(5))^(x)$

we know that

A reflection across the y-axis interchanges positive x-values with negative x-values, swapping x and −x.

therefore

$f(−x) = f(x).$

The reflection of the given function across the y-axis will be equal to

(Remember interchanges positive x-values with negative x-values)

$f(x)=5((1)/(5))^(-x)$

An equivalent form will be

$f(x)=5((1)/(5))^((-1)(x))=5[((1)/(5))^(-1))]^(x)=5(5)^(x)$

therefore

The equations that represent the reflected function are

$f(x)=5((1)/(5))^(-x)$

$f(x)=5(5)^(x)$

Answer:

c,d

Step-by-step explanation:

What is 9.3488 rounded to the nearest tenth?

Answers

The number 9.3488 rounded to the nearest tenth is; 9.3.

The number 9.3488 is required to be rounded to the nearest tenth.

In essence, the use of place value is the approach to this.

The digit which occupies the tenth place value is the first number after the decimal point.

In this scenario, the number is 3.

Therefore, to round off the number to the nearest tenth, the next number is evaluated and rounded off to 1 if equal to or greater than 5. Otherwise, it is rounded off to 0 and added to 3.

The number in this scenario is 4; it is rounded off to 0 and added to 3.

Therefore, the number 9.3488 rounded to the nearest tenth is; 9.3.

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9.3 is your answer. Brainliest would be appreciated

Please help!You must roll a total of 9 on two number cubes to win the game. Alex must roll a 6. Who is more likely to win the game on the next turn? Explain.

Answers

There are 36 possible combinations for 2 dices because there are 6 numbers per di
6 has 5 combinations because you must use 2 dices
1+5
2+4
3+3
4+3
5+1
So Alex has $(6)/(36)$ or $(1)/(6)$ chance of getting exactly 6

While 9 has 4 combinations
3+6
4+5
5+4
6+3
So you have $(4)/(36)$ or $(1)/(9)$ chance of getting exactly 9

So Alex has a better chance

To roll a 9, you need a combination of 3 and 6, or 4 and 5, in any order. To roll a 6, Alex needs a combination of 1 and 5, 2 and 4, or 3 and 3, in any order. There are 4 possible ways to roll a 9 and 5 possible ways to roll a 6, so Alex is more likely to win

What is 56 rounded to the tens place

Answers

The 6 is in the ones place, and the 5 is in the tens place. When you have a number in the ones place that is greater or equal to five, you round up. Basically, round 56 up to the next whole number.

candice bought 3 shirts. Each shirt cost the same amount and was discounted by 3.66. Candice paid a total of 62.31 before tax. How much did each shirt cost before the discount?

Answers

Just divide 62.31 by three. The subtract the number you get by 3.66. That should be your answer.

$62.31 ÷ 3 = $20.77

$20.77 + $3.66 = $24.43

The answer us $24.43

Round each addend to the nearest whole number and estimate the sum
19.43+11.5+3.08

Answers

19+12+3=34

because 11.5 is right between 11 and 12 you always round up

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1/6% of 295 help ASAP