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vodomira [7]
2 years ago
12

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

Mathematics
1 answer:
neonofarm [45]2 years ago
5 0

Answer:

Step-by-step explanation:

c2+2c+4

(c+2)^2

^ is the exponent

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Consider the expression. What is the result of applying the quotient of powers rule to the expression?
fenix001 [56]

Answer:

Let us consider the expression:

\frac{a^5\cdot b^6}{a^2\cdot b^9}     (1)

Now, the quotient of power rules says that the numbers that have same base can be find by subtracting if powers are with same sign

And adding if powers are with opposite sign.

We will solve equation (1) by this quotient of power rule.

So, it can be rewritten as:

a^{5-2}\cdot b^{6-9}

\Rightarrow a^{3}\cdot b^{-3}.

 

8 0
3 years ago
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Karl drove 617.3 miles. For each gallon of gas, the car can travel 41 miles. Select a reasonable estimate of the number of gallo
Hatshy [7]

Answer:

The number of gallons of gas Karl used is 15 gallons.

Option (C) is correct.

Step-by-step explanation:

As given

Karl drove 617.3 miles.

For each gallon of gas, the car can travel 41 miles.

i.e

1 gallons = 41 miles

1\ miles = \frac{1}{41}\ gallons

Now find out for the  617.3 miles.

Thus

617.3\ miles = \frac{617.3}{41}\ gallons

617.3\ miles = 15.1\ gallons

617.3\ miles = 15\ gallons\ (Approx)

Therefore the number of gallons of gas Karl used is 15 gallons.

Option (C) is correct.

4 0
3 years ago
Lily has 642 stamps in total. She has 54 US stamps than foreign stamps. How many does she have each
maw [93]

Answer:

answer in photo

hope this helps :)

Step-by-step explanation:

7 0
3 years ago
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Write an equation in slope-intercept form of the line that passes through the points (-6, -10) and (1,4).​
vova2212 [387]

Answer:

y = mx + 1/2

Step-by-step explanation:

(x,y)

- Plot each point on a graph

- The line should go from the bottom left (-6,-10) to the top right (1,4)

- Count how many spaces are on the y-axis from -6 to 1 for numerator

- Count how many spaces are on the x-axis from -10 to 4 for denominator

- Positive slope

- Slope = 7/14

- Simplify to 1/2

7 0
2 years ago
Find the value of in the triangle shown below.<br> 0<br> =<br> 80°<br> 7<br> 7<br> 2<br> 9
DanielleElmas [232]

Answer:

x = 50°

Step-by-step explanation:

180° - 80° = 100°

100° ÷ 2 = 50°

50° + 50° + 80° = 180°

4 0
3 years ago
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