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Ronch [10]
3 years ago
14

What is the factorization of the expression below 16x^2-49

Mathematics
2 answers:
NeX [460]3 years ago
5 0

16x²-49=

(4x)²-7²=

(4x-7)(4x+7)

Here I have used the expression:

a²-b²=(a-b)(a+b)

77julia77 [94]3 years ago
5 0

Answer:

(4x-7)(4x+7)

Step-by-step explanation:

16x² - 49

realize that 16 = 4² and 49 = 7²

Substituting these values into the expression,

16x² - 49

= 4²x² - 7²

= (4x)² - 7²

recall the algebra property :  a² - b² = (a+b)(a-b)

Applying this to our expression:

(4x)² - 7²

= (4x-7)(4x+7)     Answer

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Proportional or not
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It is proportional because all the points if put in fraction form equals 1/5. For 1 plant, he has 5 roses, and for 2 plants, he has 10 roses. 2/10=1/5. 3/15=1/5. 4/20=1/5. They all have the proportions of 1 plant per every 5 roses
4 0
4 years ago
Please help need soon please add step by step thank you
tigry1 [53]

Answer:

x = 60

Step-by-step explanation:

The two angles shown here are known as corresponding angles. This means they both equal the same amount of degrees. Knowing this, we can set up an equation:

2x + 15 = 135

2x = 120

x = 60

Therefore, x = 60

You can check your answer by substituting the answer for x:

2(60) + 15 = 135

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8 0
3 years ago
The graph shows the volume of water in a sink x minutes after the faucet is turned on. Graph of a diagonal line on a coordinate
Lubov Fominskaja [6]

Answer: 6

Step-by-step explanation: 87

3 0
3 years ago
Read 2 more answers
At a particular restaurant, each onion ring has 65 calories and each slider has 250 calories. A combination meal with onion ring
andre [41]

Answer:

The number of onion rings is <u>3</u> in the combination meal and the number of sliders is <u>2</u> in the combination meal.

Step-by-step explanation:

Given:

At a particular restaurant, each onion ring has 65 calories and each slider has 250 calories. A combination meal with onion rings and sliders has a total of 5 onion rings and sliders altogether and contains 695 calories.

Now, to find the number of onion rings in the combination meal and the number of sliders in the combination meal.

Let the number of onion rings in the combination meal be x.

And let the number of sliders in the combination meal be y.

<u><em>So, the total number of onion rings and sliders are:</em></u>

x+y=5\\\\y=5-x\ \ \ .....(1)

Now, the total number of calories each onion rings and sliders has:

x(65)+y(250)=695

Substituting the value of y from equation (1) we get:

<em />x(65)+(5-x)(250)=695\\\\65x+1250-250x=695\\\\1250-185x=695<em />

<em>Subtracting both sides by 1250 we get:</em>

<em />-185x=-555<em />

<em>Dividing both sides by -185 we get:</em>

x=3.

<u><em>The number of onion rings in the combination meal = 3.</em></u>

Now, substituting the value of x in equation (1) we get:

y=5-x\\\\y=5-3\\\\y=2.

<u><em>The number of sliders in the combination meal = 2.</em></u>

Hence, the number of onion rings is 3 in the combination meal and the number of sliders is 2 in the combination meal.

8 0
3 years ago
For the following right triangle, find the size length X. Round your answer to the nearest hundredth
Vlad1618 [11]

Answer:

The answer would be 10.72

Step-by-step

You already have two side lengths so you use those to find the 3rd length

A^{2}+B^{2}=C^{2}

A^{2}+9^{2} =14^{2}

A+81=196

196-81=115

\sqrt{115

10.72

6 0
3 years ago
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