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vovikov84 [41]
3 years ago
10

Factor the expression. 49x^2-16

Mathematics
2 answers:
pantera1 [17]3 years ago
7 0

Answer:

The correct answer is first option

(7x + 4)(7x − 4)

Step-by-step explanation:

<u>Points to remember</u>

<u>Identities</u>

(a + b)(a - b) = a² - b²

It is given an expression,

49x² - 16

<u>To factorize  the expression 49x² - 16</u>

We know that 7² = 49 and 4² = 16

Therefore we can write the given expression as,

49x² - 16 = (7x)² - 4²

It is in the form of the above identity,

(7x)² - 4² = (7x + 4)(7x - 4)

The correct answer is first option

goblinko [34]3 years ago
3 0

Answer:

The answer is :

A. (7x + 4)(7x - 4)

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What is the surface area of a cube in which each face of the cube has an area of 7 cm^2?
prisoha [69]

Answer:

In a cube, the length and width are the same, so both sides will be 7 cm, yielding an area of 49 square centimeters. The surface area of a 7 cm cube will be 294 cm2 . Hope this helps!

4 0
3 years ago
A company mixes two kinds of cleansers to get a blend they sell for 59 cents a liter. One of the cleansers costs 50 cents per li
Lilit [14]

Answer:

Cleanser that costs 50 cents is 1400 liters, Cleanser that costs 80 cents is 600 liters.

Step-by-step explanation:

We can solve this by using <em>simultaneous equations</em>:

  1. Let us express the question in terms of equations

Let a be cleanser at 50 cents and let b be the cleanser at 80 cents.

Equation 1: 0.5a + 0.8b = 0.59(a+b)

Equation 2: a + b = 2000

From equation 2, a = 2000 - b (Let's call this equation 3)

    2. Substituting equations 2 and 3 in Equation 1:

0.5a + 0.8b = 0.59(a+b)

0.5(2000 - b) + 0.8b = 0.59(2000)

1000 - 0.5b + 0.8b = 1180

0.3b = 180

b = 600

Substitute in equation 3:

a = 2000 - 600

a = 1400

As a note, I formed equation 1 because I know for a fact the cost per liter of a and b. I also know it is sold at 0.59 cents per liter. We are selling 2000 liters in this instance, therefore 0.59(2000) = 1180, which in this case is the selling price.

4 0
3 years ago
Can you help me find the side??? It's trigonometry!!
olganol [36]

Answer: 5.6

===================================

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(B) = AB/BC

cos(62) = AB/12

12*cos(62) = AB

AB = 12*cos(62)

AB = 5.63365875

AB = 5.6

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3 years ago
What is additive inverse of the check?
elena-14-01-66 [18.8K]

Answer:

Make sure that all words are spelled correctly.

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7 0
3 years ago
There is a pattern (2,4) (4,6) (6,9) (8,12) what is the 8th group
Jobisdone [24]
The answer is (10,17)
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