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3 years ago

Which factorization is equivalent to 6x squared + 7x - 10?

1 answer:

5 0

We want to factorize 6x² + 7x - 10

Note that
6x² = x * 6x or 3x * 2x
10 = 2 * 5 or 1 * 10
We can obtain 7x as (6x)*(2) - (x)*(5) = 12x - 5x = 7x.

Therefore
6x² + 7x - 10 = (6x - 5)(x + 2)

Answer: (6x - 5)(x + 2)

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Find the perimeter of the figure

nalin [4]

Answer:

The perimeter is 66.9 units

Step-by-step explanation:

See the attached figure with letters to better understand the problem

step 1

In the right triangle ABD

<em>Find the length side AD</em>

$tan(33^o)=\frac{8}{AD}$ ----> by TOA (opposite side divided by the adjacent side)

$AD=\frac{8}{tan(33^o)}=12.3\ units$

Find the length side BD

$sin(33^o)=\frac{8}{BD}$ ---> by SOH (opposite side divided by the hypotenuse)

$BD=\frac{8}{sin(33^o)}=14.7\ units$

step 2

In the right triangle CDE

Find the length side CE

$cos(64^o)=\frac{CD}{CE}$ --> by CAH (adjacent side divided by the hypotenuse)

we have

$CD=BD/2=14.7/2=7.35\ units$

substitute

$CE=\frac{7.35}{cos(64^o)}=16.8\ units$

Find the length side DE

$tan(64^o)=\frac{DE}{CD}$ --> by TOA (opposite side divided by the adjacent side)

$DE=tan(64^o){7.35}=15.1\ units$

step 3

Find the perimeter of the figure

The perimeter is equal to

$P=AB+AD+BD+CE+DE$

substitute the values

$P=8+12.3+14.7+16.8+15.1=66.9\ units$

5 0

3 years ago

In a group of 28 students, 6 study both Art and Biology.

Helen [10]

Answer:

3/13

Step-by-step explanation:

There are 28 students. 1 studies biology but not art. 1 studies neither subject. Therefore, there are 26 students who study art.

Of the 26 students who study art, 6 also study biology. So the probability is 6/26, which reduces to 3/13.

4 0

3 years ago

When adding vegetables to a footlong (30 cm) sandwich, how many ounces or slices of vegetables do you use? select all that apply

MA_775_DIABLO [31]

A footlong sandwich will fit other ingredients besides vegetables, such as 4 slices cheese or 4 strips of beacon, but if we only talk about vegetables, you can 1.5 oz. Lettuce and 1 oz. Onion, 6 slices each; Tomato, cucumber, pickles, pepper, olives, jalapeños.

7 0

4 years ago

Stan works at King's Golf Spot. He works 11 hours a week and earns $8.25

s2008m [1.1K]

Answer:

635.25 is a week

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What phrase in the problem indicates that estimated product is being asked for?

shepuryov [24]

Answer:

571 x 32 = 18,272

Step-by-step explanation:

Okay, multiplication was always a favorite.

Think of this, 571 thirty-two times.

5 0

3 years ago