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4 years ago

Factor completely 36x2 − 49.

Mathematics

2 answers:

erastova [34]4 years ago

8 0

Answer:

The correct option is D.

Step-by-step explanation:

The given expression is

$36x^2-49$

It can be written as

$(6x)^2-(7)^2$

Using the formula

$a^2-b^2=(a-b)(a+b)$

$(6x)^2-(7)^2=(6x+7)(6x-7)$

Therefore the complete factor form of given expression is (6x+7)(6x-7). The correct option is D.

torisob [31]4 years ago

5 0

The answer is D.

6x * 6x = 36x^2
6x * -7 = -42x
6x * 7 = 42x
-7 * 7 = -49

The -42x and 42x cancel each other out, resulting in 36x^2 - 49.

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Aneli [31]

Answer:

86.7 ft²

Step-by-step explanation:

arc area = area of the circle x ( arc angle measure / 360°)

area of the circle = 65 / (270/360) = 86.67 ft²

3 0

3 years ago

Need help worth 34 points!

exis [7]

x + y = 3
- x - x
y = -x + 3

y - y₁ = m(x - x₁)
y - (-1) = -1[x - (-1)]
y + 1 = -1(x + 1)
y + 1 = -1(x) - 1(1)
y + 1 = -x - 1
- 1 - 1
y = -x - 2

The answer is B.

6 0

4 years ago

Read 2 more answers

Two sisters drove 144 miles on a camping trip. They averaged at least 32 miles per gallon on the trip. Describe the number of ga

guajiro [1.7K]

<span>The answer should be 4.5 because they used AT LEAST 32 miles per gallon. So, 144/32=4.5 and since it's AT LEAST 32, 4.5 is the max amount used.</span>

5 0

3 years ago

Read 2 more answers

Please help!! :) Will give brainliest!

stich3 [128]

Answer is A
144 + 12y + y^2

if perfect square should be
144 + 24y + y^2

7 0

3 years ago

Lake Michigan's volume is approximately 1,180 cubic miles and its surface area is approximately 14,332,090 acres. The 2015 water

galben [10]

Answer:

a.) depth of the lake = (volume of the lake) / area of lake

= 173,693,585,360,000 / 624,305,840,400 = 278.22 feet

b.) 11 inches = 0.9167 feet

Water gained in cubic feet gained by the lake

= 624,305,840,400 $\times$ 0.9167

= 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

= 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

= 0.0033

= 0.33%

Step-by-step explanation:

i) acres to square feet : 1 acre = 43560 square feet

therefore 14,332,090 acres = 624,305,840,400 square feet

ii) 1 mile = 5280 feet

1 cubic mile = 5280 $\times$ 5280 $\times$ 5280 = 147,197,952,000 cubic feet

therefore 1180 cubic miles = 173,693,585,360,000 cubic feet

a.) depth of the lake = (volume of the lake) / area of lake

= 173,693,585,360,000 / 624,305,840,400 = 278.22 feet

b.) 11 inches = 0.9167 feet

Water gained in cubic feet gained by the lake

= 624,305,840,400 $\times$ 0.9167 = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

= 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

= 0.0033

= 0.33%

7 0

4 years ago