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patriot [66]
3 years ago
9

PLEASE ANSWER + BRAINLIEST !! (show work)

Mathematics
1 answer:
e-lub [12.9K]3 years ago
8 0
The missing value could be 16 or 19; if it is 16, the binomials would be
4(x+3)(x+1).  If it is 19, the binomials would be (x+4)(4x+3).

To factor these, we want factors of a*c that sum to b; in this trinomial, a*c is 4(12)=48.  If we use 12 and 4 to make 48, this would give a b value of 16:
4x²+16x+12

These two factors will be how we "split up" bx:
4x²+12x+4x+12

Now we group together the first two and last two:
(4x²+12x)+(4x+12)

Factor out the GCF of each group:
4x(x+3)+4(x+3)

Factor out the GCF of this new expression:
(x+3)(4x+4)

In the last binomial, they are both divisible by 4, so factor this out:
4(x+1)(x+3)

If we use 16*3 to make 48, this would give us a b value of 19; we would "split up" bx as follows:
4x²+16x+3x+12

Group:
(4x²+16x)+(3x+12)

Factor out the GCF:
4x(x+4)+3(x+4)

Factor out the GCF again:
(x+4)(4x+3)
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Please help!!<br> What is the measure of angels DEF and angles DEG?
Novay_Z [31]
47+ 30 is 77 so def is 77 and 103 is deg. and
8 0
2 years ago
Simplify the expression 9t^2+14-17t+6t-8t^2
slamgirl [31]

Answer:

t^2 - 11t + 14

Step-by-step explanation:

Begin by grouping like terms in 9t^2+14-17t+6t-8t^2.

First we have 9t^2 - 8t^2, or 1t^2.

Next, we have -17t + 6t, or -11t.

Last, we have the constant term 14.

The expression in simplified form is t^2 - 11t + 14.

6 0
2 years ago
Jason and Alison are hiking in the woods when they spot a rare owl in a tree. Jason stops and measures an angle of elevation of
Shalnov [3]

Answer:

Owl= 67.14ft

Step-by-step explanation:

<em>See comment for complete question.</em>

The given information is represented in the attached figure.

First convert 22°8'6'' and 30° 40’ 30” to degrees

22^{\circ} 8'6'' = 22 + \frac{8}{60} + \frac{6}{3600}

22^{\circ} 8'6'' = 22.135^{\circ}

30^{\circ} 40'30'' = 30 + \frac{40}{60} + \frac{30}{3600}

30^{\circ} 40'30'' = 30.675^{\circ}

Considering Jason's position:

tan(22.135^{\circ}) = \frac{H}{x + 48}

Where x = distance between the tree and Alison

Make H the subject

H = (x + 48)tan(22.135^{\circ})

Considering Alison's position

tan(30.675^{\circ}) = \frac{H}{x}

Make H the subject

H = xtan(30.675^{\circ})

H = H

(x + 48)tan(22.135^{\circ}) = xtan(30.675^{\circ})

(x + 48) *0.4068 = x* 0.5932

Open bracket

x *0.4068 + 48 *0.4068 = 0.5932x

0.4068x + 19.5264 = 0.5932x

Collect Like Terms

-0.5932x+0.4068x = -19.5264

-0.1864x = -19.5264

0.1864x = 19.5264

Make x the subject

x = \frac{19.5264}{0.1864}

x = 104.76

Substitute 104.76 for x in H = xtan(30.675^{\circ})

H = 104.76 * tan(30.675^{\circ})

H = 104.76 * 0.5932

H = 62.14

The above represents the height of the tree.

The height of the owl is:

Owl= H + 5

Owl= 62.14 + 5

Owl= 67.14ft

7 0
2 years ago
At Emily's summer camp, there are
Stells [14]

Answer:

15

Step-by-step explanation:

3 counselors for every 20 girls

6 0
2 years ago
Read 2 more answers
PLEASE HELP ASAP WILLL MARK BRANLIEST TO WHOEVER ANSWERS CORRECTLY FIRST 20 PTS
DedPeter [7]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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