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IgorLugansk [536]
3 years ago
9

98 points! Easy! Show work!

Mathematics
2 answers:
olga2289 [7]3 years ago
7 0
9) (a -3)²

10) (3h -10)(2h +7)

There's an interesting method for factoring expressions of the second type. You write (6h + __)*(6h + __) where the numbers that go in the blanks are factors of 6*-70 (the product of first and last coefficients) that add to +1 (the h coefficient). Since those factors are nearly the opposite (their sum is 1), they are both near √420, which is near 20.5. So, the blanks get filled with -20 and +21 and you have
.. (6h -20)(6h +21)
This product is too large by a factor of 6, so we need to remove a factor of 6 from it. Neither binomial is divisible by 6, but the first is divisible by 2 and the second is divisible by 3. The result of dividing out those factors is shown above as your solution.
Svet_ta [14]3 years ago
4 0
Hello there!~

a² - 6a + 9

The factorization of that is (a - 3)²


6h² + h - 70

The factorization of this is (3h - 10)(2h + 7)

I'm gonna take a look at the other questions.
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Choose one of the factors of x^3 + 343.
Debora [2.8K]

First, note that 343=7^3. Then use the formula for the sum of perfect cubes:

a^3+b^3=(a+b)(a^2-ab+b^2).

Therefore,

x^3 + 343=x^3+7^3=(x+7)(x^2-7x+49).

The quadratic trinomial x^2-7x+49 couldn't be factored anymore, so the expression x^3 + 343 has two factors x+7 and x^2-7x+49.

Answer: correct choice is A.

3 0
3 years ago
PLEASE EXPLAIN BECAUSE A GIRL IS COMPLETELY LOST HERE
Afina-wow [57]

Hello!


To find the value of b, we need to use the Law of Sines. The law states,

sin A / a = sin B / b = sin C / c.


We are given these values: sin A = 55 degrees, side a = 8 cm, sin C = 82 degrees.


Since angle B is not given, we have to find it ourselves. We can find the measure of angle B by subtracting both the given angle values from 180 degrees because every triangle is equal to 180 degrees.


180 - 55 - 82 = 43 | The measure of sin B = 43 degrees.


sin (55) / 8 = sin (43) / b (multiply both sides by b)

0.10239... · b = 0.68199... (divide both sides by 0.10239...)

c = 6.6607...


The measure of side b is equal to about 6.7 centimeters.

3 0
3 years ago
Read 2 more answers
Jessa had 23 one dollar bills that she wants to divide equally between her 5 children. How much money will each receive? How muc
vazorg [7]

Answer:

$4.06

Step-by-step explanation:

23 / 5 = 4

Remainder = 3

$3 into dimes = 30 dimes

30 / 5 = 6

$4 + €6 = $4.06

6 0
3 years ago
Change the equation x^2+8x+y^2-12y=12 to graphing form
andriy [413]
The radius is 8

Im not sure if this is what your looking for
6 0
3 years ago
Jose wanted to ride his bicycle for a distance of 12 miles, but it broke down after he went only 25% of his distance. How many m
Vadim26 [7]
12 * .25 = 3

Jose went 3 miles before it broke down.
6 0
3 years ago
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