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3 years ago

Completely factor 6a^2 - 8a - 30

1 answer:

4 0

Factor out 2
2(3a^2-4a-15)
hmm
trial and error
nope
fancy I-forgot-the-name way
multiply 3 and -15 to get -45
find y and t such that yt=-45 and y+t=-4
tricky
hmm
-9 and 5
split -4a into -9a and 5a
2(3a^2-9a+5a-15)
split and factor
2[(3a^2-9a)+(5a-15)]
factor oout common factors
2[3a(a-3)+5(a-3)]
epic reverse distribute, remmber ab+ac=a(b+c) the (a-3) is theh a part
2[(a-3)(3a+5)]
something
(2)(a-3)(3a+5)
(2)(3a+5)(a-3) is factored form

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Suppose r(140°, P)(A) = B and (RPD←→∘RPC←→)(A) = B, what is m∠CPD?

NISA [10]

An angle bisector divides an angle into two equal halves.

The measure of angle $\angle CPD$ is 70 degrees

The complete question is an illustrates the concept of angle bisector;

Where:

$\angle RPD = 140^o$ , and line PC bisects $\angle RPD$

Because line PC bisects $\angle RPD$ , then it means that the measure of RPD is twice the measure of CPD:

So, we have:

$\angle RDP = 2 \times \angle CPD$

Substitute $\angle RPD = 140^o$

$140^o = 2 \times \angle CPD$

Divide both sides by 2

$70^o = \angle CPD$

Apply symmetric property of equality:

$\angle CPD = 70^o$

Hence, the measure of angle $\angle CPD$ is 70 degrees

Read more about angle bisectors at:

brainly.com/question/12896755

5 0

3 years ago

Simply (6^5/7^3) ^2

Sav [38]

$\bf \left( \cfrac{6^5}{7^3} \right)^2\implies \left( \cfrac{6^{5\cdot 2}}{7^{3\cdot 2}} \right)\implies \cfrac{6^{10}}{7^6}\implies \cfrac{60466176}{117649}\implies 513\frac{112239}{117649}$

5 0

3 years ago

In a certain college, 37% of the physics majors belong to ethnic minorities. Find the probability that, from a random sample of

VLD [36.1K]

The answer is 95.4525 percent because you would use an equation

n!/(r!(n-r)! x (P)^x * (1-P)^(n-x)

Plug in the number correspondingly

N= 10

R= 1 , 2 , 3 , 4 , 5 , 6 (You will have to do each individual, if you have a Ti-nspire calculator however there is a built program called binomialcdf.

P= .37

x = r

After plugging this is the achieved answer is 95.4525

(.0578 + .1529 + .2394 + .2461 + .1734 + .0849) x 100

additive may be a little off due to rounding.

6 0

3 years ago

What are the quotient and remainder of (3x^4+ 2x^2 - 6x + 1) /(x + 1)

quester [9]

Answer:

all work is shown and pictured