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agasfer [191]
3 years ago
5

Complete the factorization.

Mathematics
1 answer:
lyudmila [28]3 years ago
6 0
If you would like to complete the factorization, you can do this using the following steps:

<span>4p^2 + 36p + 81 = (2p + 9) * (2p + 9) = (2p + 9)^2
</span>
The correct result would be 9.
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You know 13 + 7 = 20. Therefore 13+ 7 + 2 = 20 + 2
omeli [17]

Answer: if 13+7+2=20+2 the property of equality is  A Subtraction Property of Equality.

Step-by-step explanation:

8 0
3 years ago
Complete the point-slope equation of the line through (-4,8) and (4,4)
S_A_V [24]

Answer:

y-4= -1/2(x-4)

Step-by-step explanation:

First you have to find the slope to write it in point slope

to do this you find change in Y over change in X

From -4 to 4 is postivite 8 and from 8 to 4 its -4

Now you do -4 divided by 8 and get -0.5 or -1/2 for slope now pick one of the points and put it in the formula y-y1=m(x-x1)

3 0
3 years ago
Read 2 more answers
He rain caused the river to ride a total of 6 2/3 inches. The river was rising at an average of 2/3 of an inch each hour. How ma
Kobotan [32]
To find out how many hours it rained, divide the total rise in the river by the amount it rose every hour.

\sf 6\dfrac{2}{3}\div\dfrac{2}{3}

First convert the mixed number into an improper fraction. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:

\sf\dfrac{20}{3}\div\dfrac{2}{3}

When dividing fractions we flip(the reciprocal) the one we're dividing by and multiply:

\sf\dfrac{20}{3}\times\dfrac{3}{2}

Multiply the numerators and denominators together:

\sf\dfrac{60}{6}

Simplify by dividing:

\boxed{\sf 10}

So it rained for 10 hours.
5 0
3 years ago
What is the value of c in the equation below? 2^-4(2^2)=a^b=c
Triss [41]

Answer:

The answer is option 4.

Step-by-step explanation:

You have to use Indices Law,

{a}^{m}  \times  {a}^{n}  =  {a}^{m + n}

{a}^{ - n}  =  \frac{1}{ {a}^{n} }

So for this question :

{2}^{ - 4}  \times  {2}^{2}

=  {2}^{ - 4 + 2}

=  {2}^{ - 2}

{a}^{b}  = c \\ c =  {2}^{ - 2}

c =  \frac{1}{ {2}^{2} }

c =  \frac{1}{4}

5 0
3 years ago
A family has two cats named Gordo and Flaco. Gordo weighs 15 pounds and Flaco weighs 8 pounds. A cat’s weight is classified as u
Elena-2011 [213]

Answer:

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes Gordo unhealthy.

Step-by-step explanation:

μ = mean weight = 9.5 pounds

σ = standard deviation = 1.5 pounds

This is a normal distribution problem

We first calculate the limit of the bottom 5% of weights

Let the z-score for this limit be z'

P(z < z') = 0.05

From the normal distribution table,

z' = -1.645

And the limit for the top 5% which is z" = 1.645.

The weight that corresponds to these scores are then calculated.

Standardized scores are given as

z = (x - μ)/σ

So,

z' = (limit for the bottom 5% - μ)/σ

-1.645 = (limit for the bottom 5% - 9.5)/1.5

limit of the bottom 5% = (-1.645)(1.5) + 9.5 = 7.033 pounds

z" = ( (limit for the top 5% - μ)/σ

1.645 = (limit for the top 5% - 9.5)/1.5

limit of the bottom 5% = (1.645)(1.5) + 9.5 = 11.968 pounds

Therefore the healthy weight range for cats is (7.033 < x < 9.968)

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes the cat unhealthy.

Flaco's weight = 8 pounds

Flaco's weight lies in the healthy weight range for cats. Hence, Flaco is a healthy cat.

8 0
3 years ago
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