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2 years ago

Given a polynomial f(x), if (x + 5) is a factor, what else must be true?

1 answer:

4 0

Rule: If x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

Using that rule, we can see that x+5 is really x-(-5) so k = -5.

Therefore,

p(k) = 0
p(-5) = 0

so the answer is choice D.

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(01.07 MC) Lines BC and ED are parallel. They are intersected by transversal AE, in which point B lies between points and E. The

Brrunno [24]

Answer:

m∠ABC = m∠BED; Corresponding Angles Theorem

Step-by-step explanation:

<u>Given:</u> line BC is parallel to line ED m∠ABC = 70° m∠CED = 30°

<u>Prove:</u> m∠BEC = 40°

Statement Justification

1. line BC is parallel to line ED - Given

2. m∠ABC = 70° - Given

3. m∠CED = 30° - Given

4. m∠BEC + m∠CED = m∠BED - Angle Addition Postulate

5. m∠ABC = m∠BED - Corresponding Angles Theorem

6. m∠BEC + 30° = 70° - Substitution Property of Equality

7. m∠BEC = 40° Subtraction Property of Equality

6 0

2 years ago

Read 2 more answers

WILL GIVE BRAINLIEST.

Elena L [17]

Answer:

$\tan(\theta) =$ undefined

Step-by-step explanation:

Given

$\sin(\theta) = -1$

Required

Determine $\tan(\theta)$

We know that:

$\sin^2(\theta) + \cos^2(\theta) = 1$

This gives:

$(-1)^2 + \cos^2(\theta) = 1$

$1 + \cos^2(\theta) = 1$

Collect like terms

$\cos^2(\theta) = 1 -1$

$\cos^2(\theta) = 0$

Take square roots

$\cos(\theta) = \sqrt 0$

$\cos(\theta) = 0$

By tan identity

$\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$

$\tan(\theta) = \frac{-1}{0}$

$\tan(\theta) =$ undefined

6 0

2 years ago

Samantha gathered the following information on a given day at the dog park.

Luda [366]

The number of dogs that are not puppies is 17, the number of adult dogs without long hair is 6, the number of puppy dogs with long hair is 8 and the number of puppy dogs without long hair is 7.

<h3>What is the information missing?</h3>

To complete the chart it is necessary to determine:

Number of dogs that are not puppies.
Number of puppies with and without long hair
Number of adult dogs without long hair

Number of dogs that are not puppies:

32 (total dogs) - 15 (puppies) = 17 dogs

Adult dogs without long hair:

17 (total adult dogs) - 11 (adult dogs with long hair) = 6 dogs

Puppy dogs with and without long hair

Total of puppy dogs = 15, this number can be obtained by adding 9+6 or 7+8. From these combinations, the only one that meets the rule "There are 6 more dogs that have long hair than dogs that do not have long hair" is 8 puppies with long hair and 7 puppies without long hair.

Note: This question is not written correctly; here is the correct and complete question.

Samantha gathered the following information on a given day at the dog park.

There are 32 dogs playing at the dog park.

15 of the dogs are puppies.

11 of the dogs are not puppies and have long hair.

There are 6 more dogs that have long hair than dogs that do not have long hair.

Fill in the table completely to represent Samantha’s data.

Learn more about dogs in: brainly.com/question/8565422

6 0

1 year ago

Frances read 4/5 of an article in three minutes. How much of the article did she read each minute?

Margarita [4]

Answer:

0.267

Step-by-step explanation:

0.2666666666666667

8 0

2 years ago

A rectangle has a length of 10 inches and a width of 8 inches

Serjik [45]

I’m assuming you want to work out the area
area = length x width
area = 10 x 8
area = 80 inches^2

3 0

2 years ago