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3 years ago

Factor by gcf 6x2+3x+21 The 2 is supposed to be small.

Mathematics

1 answer:

nlexa [21]3 years ago

8 0

Given:

The expression is:

$6x^2+3x+21$

To find:

The factor of the given expression by GCF.

Solution:

We have,

$6x^2+3x+21$

Here, 3 is the greatest common factor (GCF) of $6x^2,3x,21$ .

Taking out GCF, we get

$6x^2+3x+21=3(2x^2+x+7)$

Therefore, the required factor form of the given expression is $3(2x^2+x+7)$ .

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While visiting Wallawulla State Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa

katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135 - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0

3 years ago

Factor completely 5a2 + b. Prime a(5a + b) b(5a2) ab(5a + 1)

Tatiana [17]

$\sf {5a^2+b~is~\boxed{\bf{prime}}}$

It is prime because it has no common factors in 5a^2 and b.

The answer is A.

6 0

3 years ago

Read 2 more answers

A box contains 8 green balls, 16 red balls, 10 white balls, and 6 pink balls.

Pepsi [2]

The probability of drawing a white ball is 1/4

Explanation:
When we solve for probability, we want to find out how many of something there is out of its total. So in this case, we want to see how many white balls there are out of the totals balls in the box. We already know that there are 10 white balls, so we need to figure out the total balls in the box, by adding up. 8 green balls + 16 red balls + 10 white balls + 6 pink balls = 40 balls in total. Now we know that the fraction would be 10/40, as there are 10 white balls out of 40 total balls. Finally, we simplify the fraction to 1/4, therefore the answer is B.

8 0

3 years ago

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I need that r d d d d d. D d d d d d d. D

TEA [102]

Answer:

D is not a function.

Step-by-step explanation:

The first option is a function because it makes up a straight line. The second option is also a function because it is also known as y = -3/2x + 2 creating a slope function. The third option is also a function because there is no more than one point for each x value. The last option is not a function because the number 2 is going for 2 variables A and B and you can't have them with more than one so D is your answer.

7 0

3 years ago

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a green ribbon is 9 inches long. a red ribbon is 1/10 the length of the green ribbon. a purple ribbon is 10 times as long as the

pishuonlain [190]

Answer: 900 inch
There is 3 ribbon in this question, Red ribbon(R), green ribbon(G) and purple ribbon(P). The relation would be
1. R= 9 inch
2. R= 1/10 G
3. P= 10 G

If you insert equation 1 into 2 then you will get:
9inch= 1/10G
G= 90 inch

After that insert the new equation into equation 3:
P= 10x 90 inch
P= 900inch

7 0

3 years ago