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BartSMP [9]
3 years ago
12

Simplifying your answer

Mathematics
1 answer:
coldgirl [10]3 years ago
7 0

Answer:

  -49

Step-by-step explanation:

In order to fill in the given expression, we need to know ...

  • f(-2) = -4
  • f(-3) = 5
  • f(-4) = 7
  • g(0) = -7
  • g(-3) = 3

Then the expression is ...

  √(5 -(-4)) -(-7)² +7÷(-7)·(3) = √9 -49 +7/(-7)(3)

  = 3 -49 +(-1)(3) = 3 -49 -3

  = -46 -3 = -49

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Which line segment is a diameter of circle F?<br><br> FE<br><br> BA<br><br> AC<br><br> EC
umka21 [38]

option c) The line segment AC is the diameter of circle F.

<u>Step-by-step explanation</u>:

  • The 'diameter' is the line segment that passes through the center of the circle.
  • In the circle shown, F is the center of the circle.
  • The line segments EB and AC passes through the center point F.
  • Therefore, both EB and AC are the diameters of the given circle.
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5 0
4 years ago
Mrs. Lin is sewing costumes for her grandchildren. She is making three lion costumes, one zebra costume, and two bear costumes.
stepladder [879]

Answer:

12\frac{1}{8}\ yd

Step-by-step explanation:

we know that

The total fabric that Mrs. Lin needs is equal to

3(1\frac{2}{3})+2\frac{5}{8}+2(2\frac{1}{4})

Convert mixed number to an improper fraction

1\frac{2}{3}=1+\frac{2}{3}=\frac{5}{3}

2\frac{5}{8}=2+\frac{5}{8}=\frac{21}{8}

2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}

substitute

3(\frac{5}{3})+\frac{21}{8}+2(\frac{9}{4})

5+\frac{21}{8}+\frac{9}{2}

\frac{40+21+36}{8}=\frac{97}{8}\ yd

Convert to mixed number

\frac{97}{8}\ yd= \frac{96}{8}+\frac{1}{8}=12\frac{1}{8}\ yd

4 0
4 years ago
The sum of three numbers is 26. The second number is twice the first and the third number is 6 more than the second. Find the nu
vampirchik [111]

ANSWER

4,8,14

EXPLANATION

Let the first number be

x

Then the second number will be

2x

and the third number is

2x + 6

The sum of these numbers is 26.

This implies that;

x + 2x + (2x + 6) = 26

Group similar terms;

x + 2x + 2x = 26 - 6

Simplify;

5x = 20

Divide both sides by 5

x =  \frac{20}{5}

This gives us;

x = 4

The numbers are:

4,8,14

3 0
3 years ago
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