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3 years ago

Factor the following polynomial written in standard form. B^2-14B+49

Mathematics

1 answer:

Vladimir79 [104]3 years ago

8 0

After factoring $B^2-14B+49$ we get $(B-7)(B-7)$

Step-by-step explanation:

We need to factorize the polynomial:

$B^2-14B+49$

Factorization is done by breaking the middle term such that the sum is equal to the middle value of polynomial and product is equal to product of first and last term in the polynomial.

So, Factorizing:

$B^2-14B+49\\=B^2-7B-7B+49\\=B(B-7)-7(B-7)\\=(B-7)(B-7)$

So, After factoring $B^2-14B+49$ we get $(B-7)(B-7)$

Keywords: Factorization, Factors

Learn more about factors at:

#learnwithBrainly

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A.) SSS B.) AAS C.) ASA D.) SAS

Vlada [557]

Side BC is congruent to side BC.

Using the congruent angles and the angle bisectors, you can get two angles congruent to two other angles, so you use ASA to prove the triangles congruent. Then you use CPCTC to prove the sides congruent.

Answer: C.) ASA

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4 years ago

A spherical ball with a volume of 972π in.3 is packaged in a box that is in the shape of a cube. The edge length of the box is e

mojhsa [17]

Answer:

V = 4/3 x pi x r^3

972 x pi= 4/3 x pi x r^3

729 = r^3

The cubic root of 729 is 9 because 9 x 9 x 9 = 729.

The radius is 9 inches, and the diameter is 18 inches.

The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.

Step-by-step explanation:

7 0

3 years ago

Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mp

mash [69]

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

8 0

3 years ago

Find a numerical value if one trigonometric function of x if tan2x-sin2x/sin2x=5

seropon [69]

Answer:

The values of x that satisfy the given equation are:

x1 = 1.183 + nπ

x2 = -1.183 + nπ

Step-by-step explanation:

Given tan²x - sin²x/sin²x = 5

Simplifying this, we have

tan²x - 1 = 5

Adding 1 to both sides, we have

tan²x = 6

Because tan²x = (tanx)², we can write as

(tanx)² = 6

Taking square roots of both sides, we have.

tanx = ±√6

x = arctan(±√6) + nπ

≈ 1.183 + nπ or -1.183 + nπ

4 0

3 years ago

Find the missing length of the triangle. Round to the nearest tenth. a = _____, b = 7, c = 9

kogti [31]

Answer: Maybe 5.7

Step-by-step explanation: To solve this we are going to need to understand the pythagorean theorem. we can use it as a way to find this certain side. if we put these numbers in the theorem, we get a^2+49=81 (7^2=49 and 9^2=81), we can subtract 49 on both sides and get 32. We would also need to take out the power of 2 on the side of the a^2, so you would do the square root of a^2, which would just become a and the square root of 32, which if you crunch the numbers on a calculator. You would get 5.656..... then you round it to the nearest tenth and get 5.7.

5 0

3 years ago

Read 2 more answers