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3 years ago

The perimeter p of a square is 4 times the length of a side x

Mathematics

1 answer:

BaLLatris [955]3 years ago

4 0

Answer:

p = 4x

Step-by-step explanation:

The perimeter p of a square is 4 times the length of a side x

p = 4x

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48c + 12 = 12(_______)

inn [45]

Answer:

$\large\boxed{12(4c+1)}$

Step-by-step explanation:

How to factor expressions?

Find the G.C.F. and divide it into the terms of the expression you need to factor, like this:

$48c+12=12(4c+1)}$ . So I took the 12 and pulled it out of both terms, obtaining $12(4c+1)$ .

3 0

2 years ago

the product of 2 consecutive odd integers is equal to 27 plus six times the sum of the integers. what is the larger integer

olganol [36]

2 consecutive odd integers : x and x + 2

x(x + 2) = 27 + 6(x + x + 2)
x^2 + 2x = 27 + 6(2x + 2)
x^2 + 2x = 27 + 12x + 12
x^2 + 2x - 12x - 12 - 27 = 0
x^2 -10x - 39 = 0
(x + 3)(x - 13) = 0

x + 3 = 0
x = -3 (extraneous solution)

x - 13 = 0
x = 13

x + 2 = 15

so ur 2 integers are 13 and 15, with 15 being the largest

8 0

3 years ago

9x-8y=0 Graph the following liner equation

k0ka [10]

Y= -9x
---
8

hope this helps

6 0

3 years ago

Read 2 more answers

A sample of 92 observations is taken from a process (an infinite population). the sampling distribution of x̄ is approximately n

Sindrei [870]

It is normal based on the Central Limit Theorem. According to the theorem, an appropriately big sample (infinite) size from a population with a limited level of variance, the average of all samples from the same populace will be roughly equivalent to the mean of the population.

6 0

3 years ago

1. Determine a rule that could be used to explain how the volume of a

Eva8 [605]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- We will use the basic formulas for calculating the volumes of two solid bodies.

- The volume of a cylinder ( V_l ) is represented by:

$V_c = \pi *r^2*h$

- Similarly, the volume of cone ( V_c ) is represented by:

$V_c = \frac{1}{3}*\pi *r^2 * h$

Where,

r : The radius of cylinder / radius of circular base of the cone

h : The height of the cylinder / cone

- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.

- We will represent a proportionality of Volume ( V ) with respect to ( r ):

$V = C*r^2$

Where,

C: The constant of proportionality

- Hence the proportional relation is expressed as:

V∝ r^2

- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

$V = C*(a*r)^2\\\\V = C*a^2*r^2$

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).

- Hence, the relations for each of the two bodies becomes:

$V = (\frac{1}{3} \pi *r^2*h)*a^2$

$V = ( \pi *r^2*h)*a^2$

8 0

3 years ago