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olya-2409 [2.1K]
4 years ago
8

Factor by using the difference of squares method: 36x^4 - 4x^2

Mathematics
1 answer:
Nataliya [291]4 years ago
4 0

The difference of squares formula is a^2-b^2=(a+b)(a-b). a^2, in this case, is 36x^4, so we can say the square root(positive in this case) is 6x^2. This means that a is 6x^2. We can do this also to the b^2 part and get 4x^2=b^2 so b=2x. The difference of squares formula states that the answer is (6x^2+2x)(6x^2-2x), so the answer is D.

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A man invests a total of $9,493in two savings accounts. One account yields 9% simple interest and the other 10% simple interest.
Agata [3.3K]

Answer:

$1850

Step-by-step explanation:

Given

  • The person invests a total of $9493
  • Amount invested in 9% Simple interest account =x
  • Amount invested in 10% Simple interest account= 9493-x
  • Earnings in Interest=$930.8

The simple interest formula

S.I=\frac{P\times T\times R}{100}

where

  • S.I is simple interest
  • P is principle invested
  • T is time period
  • R is rate of interest

There fore total interest

=930.8= \frac{x\times 1\times 9}{100} +\frac{(9493-x)\times 1\times 10}{100}\\930.8=\frac{9x+94930-10x}{100}\\93080=94930-x\\x=94930-93080\\x=1850

Therefore x=1850

⇒Amount invested in 9% account= $1850

4 0
3 years ago
If the perimeter of a right triangle is 42 units and the length of the hypotenuse is 20 units, find the length of the other two
Mashutka [201]
So
a^2+b^2=c^2
c=hypotenuse
a^2+b^2=20^2=400

if the permiter is 42 then
p=hypotonuse+side+side
42=20+side+side
subtract 20 from both sides
22=side+side

a+b=22
subtract b from both sides
a=22-b
subsitute for a in equation below
a+2+b^2=c^2
(22-b)^2+b^2=400
b^2-44x+484+b^2=400
2b^2-44x+484=400
divide both sides by 2
b^2-22x+242=200
subtract 200 from both sides
b^2-22x+42=0
factor
(b+/-number)(b+/-number)
to find the numbers, find which 2 number multiply to 42 and add to get -22
the numbers must be neative since same signs multiplied=positive and negative+negative=negative
(b-number)(b-number)
facrors of 42=2,3,6,7,14,21
2,21
3,14
6,7
it's hard to find the number, but the numbers are -19.8882 and -2.11181
(b-19.8882)(b-2.11181)=0
if xy=0 then assume that x and y=0

b-19.8882=0
add 19.8882 to both sides
b=19.8882

b-2.11181=0
add 2.11181 to both sides
b=2.11181



the side legnths are 19.8882 units and 2.11181 units
4 0
4 years ago
Consider the radical expression.
Anestetic [448]

Answer:

Step-by-step explanation:

3 0
3 years ago
Titus drew a circle with his compass. The circle has five central angles. Four of the angles measure 55°, 37°, 96°, and 88°. Wha
Fiesta28 [93]

Answer:

84°

Step-by-step explanation:

The circle has five central angles that together equal to 360°.

55° + 37° + 96° + 88° = 276°

Hence, to find the fifth central angle, we have to subtract 276° from 360°.

360° - 276° = 84°

The degree measure of the last central angle is 84°.

Hope this helps! :)

3 0
2 years ago
Read 2 more answers
I really really need help on this question what is the answer for this ( how much would it cost to mail a letter that weighs 2.7
prohojiy [21]

It costs $.50 to mail a letter of that size.

All letters that are under 3.5 oz take only one stamp to ship. Since 2.7 is less, it would cost only $.50

5 0
4 years ago
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