(x − 2) is a factor of x4 + 2x3 − 7x2 − 8x + 12.

Answers

Answer 1

Answer: (x + 3) • (x + 2) • (x - 1) • (x - 2)

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Solve: -4 (2x + 11) = -x + 12

Answers

The answers is X = -8

Answer:

x=-8

Step-by-step explanation:

Multiply -4 by each number in the parenthesis ( distributive property )

Add x to -8x ( -7x )

Add 44 to 12 ( 56 )

Divide 56 and -7

You should get x=-8

A painter leans a 20-ft ladder against a building. The base of the ladder is 12 ft from the building. To the nearest foot, how high on the building does the ladder reach?

Answers

Answer:

The height of the building is 16 ft.

Step-by-step explanation:

It is given that a painter leans a 20-ft ladder against a building. The base of the ladder is 12 ft from the building.

It means the base of the right angled triangle is 12 ft and the hypotenuse is 20 ft.

Let the height of the building be x.

Using Pythagoras theorem,

$hypotenuse^2=base^2+perpendicular^2$

$(200)^2=(12)^2+x^2$

$x^2=400-144$

$x^2=256$

Taking square root both sides.

$x=√(256)$

$x=16$

Therefore the height of the building is 16 ft.

the ladder would reach 16 feet on the building.
Pythagorean theorem helps find this answer.

If AB ← → is parallel to CD ← → , which statment must be true?

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IF AB is parallel to CD , then alternate interior angles and corresponding angles are equal..
A is correct...

PLEASE HELP

Which of the following questions are correct? Select all that apply.

Answers

Answer:

I think A and D are both correct

Ian is another of Josie’s clients. He is 60 years old. What is the MHR for Ian when he is training

Answers

Answer:

166 bpm

Step-by-step explanation:

Ian's age = 60

MHR stands for maximum heart rate. There are two methods of calculating the MHR :

1) MHR = 220-age

2) MHR = 217-(0.85×Age)

Both the methods are easy to solve but the most accurate is the second one, hence we use the second method to calculate MHR of Ian.

MHR = 217-(0.85×Age)

= 217-(0.85×60)

166

Since the MHR is calculated in beats per minute (bpm)

Therefore, MHR of Ian = 166bpm

MHR=190-(age-30)/2
MHR=190-(60-30)/2
MHR=190-(30/2)
MHR=190-15
MHR=175 bpm

Jen bought some bagels the ratio of the numbers of sesame beagles to the number of plain bagels the she bought is 1:3 find the decimal equivalent of the prrcent of the bagels that are plain

Answers

If the number of sesame to plain bagels is 1:3, that means that for every 3 plain bagels, there is 1 sesame bagel. So if there were 4 bagels total, with 3 being plain and 1 being sesame, then the fraction of the total amount of bagels represented by the amount of plain bagels there are would be 3/4.
3/4 written as a decimal would be 0.75, or 75%.
Hope that helped =)

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