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fomenos
3 years ago
12

p is directly proportional to the square of q. it is known that p=12 for a certain value of q. find the value of p when q is dou

bled ​
Mathematics
1 answer:
OLEGan [10]3 years ago
6 0
<h3>Answer:   p = 48</h3>

===========================================================

Explanation:

We're told that "p is directly proportional to the square of q", which means that we have the equation

p = k*q^2

for some constant k

Replace p with 12 because we're also told that p = 12.

So we now have this equation

12 = k*q^2

which is the same as

kq^2 = 12

We'll use this later.

-----------------------

Let's go back to the original equation. We'll replace q with 2q to represent the value of q doubling

p = k*q^2

p = k*(2q)^2 ... replace q with 2q

p = k*4q^2

p = 4k*q^2

p = 4*(kq^2)

p = 4(12) ...... replace kq^2 with 12

p = 48

Therefore, if q is doubled, then p = 12 quadruples to p = 48.

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What is the equation of the line
konstantin123 [22]
Hello there!


The answer is B. \frac{2}{7}
-----------------------------------------------------------------------------------------------------

Explanation and Work:



We first must identify if the line goes through the origin or not. 

The origin is (0, 0) 

The line does go through the origin. This means that there is no y-intercept

The specific equation we would you use would be:

y = kx

K is the constant

We find this by finding the slope.

Slope is found by:

\frac{y2 - y1}{x2 - x1} 

y2 = 2

y1 = 0

x2 = 7

x1 = 0

Now, let's plug in these numbers.

\frac{2-0}{7-0} =  \frac{2}{7}

So, now let's plug he slope into our formula.

y = \frac{2}{7} x

So, our answer would be B.


I hope I helped!

Let me know if you need anything else!

~ Zoe


8 0
3 years ago
Pls show work! questions on pic
Lena [83]

Answer:

a.(10,23)

b.(7,30)

e.(20,20)

Step-by-step explanation:

We are given that

x=Width of garden

y=Length of garden

According to question

x\geq 5

y\geq 20

Perimeter of rectangle=2(x+y)

Where x=Width  of rectangle

y=Length of rectangle

Fencing used =2(x+y)

2(x+y)\leq 80

First we change inequality  into equality

x=5...(1)

y=20...(2)

2(x+y)=80

x+y=40...(3)

Substitute x=0 in equation (3)

y=40

Substitute y=0  in equation (3)

x=40

Substitute x=0 and y=0 in equation (3)

2(x+y)\leq 80

0\leq 80

It is true. Therefore, the  shaded region below the line.

0\geq 5

0\geq 20

These are false equation .Therefore, the shaded region above the line.

Substitute x=5 in equation (3)

5+y=40

y=40-5=35

Substitute y=20 in equation (3)

x+20=40

x=40-20=20

Intersection point of equation (1) and (3) is (5,35) and intersect point of equation (2) and (3) is (20,20).

Now,

a.(10,23)

Substitute in

2(x+y)\leq 80

2(10+23)\leq 80

66\geq 80

10>5 and 23>20

it satisfied all inequality.

Hence, it is a solution.

b.(7,30)

7>5

30>20

2(7+30)=74

it satisfied all inequality.

Hence, it is a solution.

c.(18,25)

18>5

25>20

2(18+25)=86>80

It does not satisfied third inequality

Hence, it is not a solution.

d.(8,35)

8>5

35>20

2(8+35)=86>80

It does not satisfied third inequality

Hence, it is not a solution.

e.(20,20)

2(20+20)=80

20>5

20=20

it satisfied all inequality.

Hence, it is a solution.

4 0
3 years ago
What is 38,800 rounded to the nearest hundred mark all that apply?
SashulF [63]
38,800 is the answer

4 0
3 years ago
Help i need help with this 10x+16&gt;6x+20
Mamont248 [21]

What does > mean?

10x + 16 ≥ 6x + 20

Subtract both sides by 16

10x ≥ 6x + 4

Subtract both sides by 6x

4x ≥ 4

Divide both sides by 4

x ≥ 1

I believe this is your answer good luck!!

<<<Emily>>>

4 0
3 years ago
Solve an equation x/17= -4
Rainbow [258]

Answer:

-68

Step-by-step explanation:

X/17=-4

X=-68

So the answer is -68

6 0
2 years ago
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