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Hunter-Best [27]
3 years ago
13

Which expression is a difference of squares with a factor of 5x − 8?

Mathematics
1 answer:
Olegator [25]3 years ago
4 0

Answer:

25x^2-64

Step-by-step explanation:

Remember that the formula for the difference of squares is a^2-b^2=(a+b)(a-b). The formula implies that if (5x - 8) is a factor, then (5x + 8) is the other factor. We can use our formula to find which one is our difference of squares:

(5x-8)(5x+8)=(5x)^2-8^2

(5x-8)(5x+8)=5^2x^2-64

(5x-8)(5x+8)=25x^2-64

We can conclude that the correct answer is 25x^2-64.

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What is the equation of the line that is perpendicular to the given line and has an x-intercept of -3?
Anvisha [2.4K]

Answer:

y=-\frac{3}{2}x-\frac{9}{2}

Step-by-step explanation:

Let the equation of the perpendicular line is,

y = mx + b

where m = slope of the line

b = y-intercept

From the graph, slope of the line passing through (0, -1) and (3, 1),

m' = \frac{y_2-y_1}{x_2-x_1}

m' = \frac{1+1}{3-0}

m' = \frac{2}{3}

To get the slope (m) of this line we will use the property of perpendicular lines,

m × m' = (-1)

m × \frac{2}{3} = -1

m = -\frac{3}{2}

Equation of the perpendicular line will be,

y=-\frac{3}{2}x+b

x-intercept of the line is (-3) therefore, point on the line is (-3, 0)

0 = -\frac{3}{2}(-3)+b

b = -\frac{9}{2}=-4.5

Equation of the line will be,

y=-\frac{3}{2}x-\frac{9}{2}

3 0
3 years ago
What is the sum of the two expressions -2.9a+6.8 and 4.4a-7.3
Lady bird [3.3K]

Answer:

1.5a - 0.5

Step-by-step explanation:

Add like terms

4.4 - 2.9 = 1.5

7.3 - 6.8 = 0.5

4 0
3 years ago
What is the value of a? brainliest for right answer
Sholpan [36]

Edit: Nevermind I messed up

4 0
3 years ago
Read 2 more answers
Rewrite as a power of 10: 1/10
Yuliya22 [10]

Answer:

Step-by-step explanation:

You have to know how negative exponents "work" to understand this concept.

\frac{1}{10}=10^{-1 because if you want to make a negative exponent positive you put what the exponent is on under a 1. It follows then that you can go backwards from that and rewrite positive fractions with negative exponents.

4 0
3 years ago
13.
Solnce55 [7]

Answer:

answer would be E. 16,000,000

Step-by-step explanation:

if you put 8,180 x 2,099 in the calculator you get 17,169,820

just round that number and you get 16,000,000

hope this helped!!

4 0
3 years ago
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