Which equation is an equation of a circle with a radius of 4 and its center is at (3,-2)?

Pls help me with this question no. 14 asap. will mark brainliest

Zigmanuir [339]

<h3>Answer to part (i): The area of triangle PQR is 10 square cm</h3><h3>Answer to part (ii): in fraction form QM = 5/2, or in decimal form QM = 2.5</h3>

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Work Shown for part (i)

One base of triangle PQR is QR = 4

If the base is QR, then the height is PL = 5, which is perpendicular to QR.

area of triangle PQR = (1/2)*base*height

area of triangle PQR = (1/2)*QR*PL

area of triangle PQR = (1/2)*4*5

area of triangle PQR = 10

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Work Shown for part (ii)

Another base for triangle PQR is PR = 8

Imagine rotating triangle PQR so that PR is completely horizontal and flat.

Note: the diagram implies that MR = 8, but instead it's actually PR = 8

For the base PR, the perpendicular height is QM, which we'll label as x for now

area of triangle PQR = (1/2)*base*height

area of triangle PQR = (1/2)*PR*QM

area of triangle PQR = (1/2)*8*x

area of triangle PQR = 4*x

From part (i), we can set 4x equal to 10 since we know the triangle PQR has area 10 square cm.

4x = 10

4x/4 = 10/4

x = 10/4

x = (5*2)/(2*2)

x = 5/2

x = 2.5

6 0

3 years ago

Help me please i’ll mark brainlist and double the points !

irina1246 [14]

Answer:

24

Step-by-step explanation:

A^2+b^2=c^2

In this case C^2 is solved and we have to solve for the remaining leg.

7^2+b^2=25^2

49+b^2=625

625-49=576

sqrt 576 = 24

The height is 24

6 0

2 years ago

What is 2/4 written as a fraction

dusya [7]

1/2 because it becomes simplified

6 0

3 years ago

Read 2 more answers

Please help and explain!! I got 14x +0

Inga [223]

Answer:

[C] 16

Explanation:

7x + 8 − 7x + 8

= 7x + 8 + −7x + 8

Combine Like Terms

= 7x + 8 + −7x + 8

= (7x + −7x) + (8 + 8)

= 16

4 0

3 years ago

Read 2 more answers

On the last day of school, Mrs. Awesome gave jelly beans to her class. She gave each boy as many jelly beans as there were boys

professor190 [17]

Answer:

28 students

Step-by-step explanation:

Let x be the number of girls in the class. There were two more boys than girls in her class, then the number of boys is x + 2.

Mrs. Awesome gave each boy as many jelly beans as there were boys in the class, so each of x + 2 boys got x + 2 jelly beans, so

Number of boys = x + 2

Number of jelly beans each boy got = x + 2

Total number of jelly beans all boys got = (x + 2)(x + 2)

Mrs. Awesome gave each girl as many jelly beans as there were girls in the class, so each of x girls got x jelly beans, so

Number of girls = x

Number of jelly beans each girl got = x

Total number of jelly beans all girls got = (x)(x)

Hence,

Total number of jelly beans class got = (x + 2)(x + 2) + (x)(x)

Mrs. Awesome brought 400 jelly beans, and when she finished, she had six jelly beans left, so she gave 400 - 6 = 394 jelly beans to the calss.

So,

$(x+2)(x+2)+(x)(x)=394\\ \\x^2+2x+2x+4+x^2=394\\ \\2x^2+4x+4-394=0\\ \\2x^2+4x-390=0\\ \\x^2+2x-195=0\\ \\D=2^2-4\cdot (-195)=4+780=784\\ \\\sqrt{D}=28\\ \\x_{1,2}=\dfrac{-2\pm 28}{2\cdot 1}=-15,\ 13$

Number of girls cannot be negative, so x = 13, x + 2 = 15 and total number of students is 13 + 15 = 28

3 0

3 years ago