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3 years ago

Each side of a square is (7 + 3x) units. Which is the perimeter of the square?

Mathematics

2 answers:

evablogger [386]3 years ago

8 0

I hope this helps you perimeter=4 (7+3x) perimeter=28+12x

elena-s [515]3 years ago

6 0

The perimeter of the square is (28 + 12x) units.

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Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio

Galina-37 [17]

Answer:

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is $(x_1,y_1)=(-3, 2)$

Equation of a circle with center $(h,k)$ and radius 'r' is given as:

$(x-h)^2+(y-k)^2=r^2$

Here, $(h,k)=(5,-4)$

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

$r^2=(h-x_1)^2+(k-y_1)^2$

Using distance formula for the points (5, -4) and (-3, 2), we get

$r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100$

Therefore, the equation of the circle is:

$(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100$

Now, rewriting it in the form asked in the question, we get

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

4 0

3 years ago

Can u help me plz ?

natita [175]

Answer:

82 grams

Step-by-step explanation:

each rubber band weighs 3 grams because when 2 bands were added to 88 grams it went up 6 grams and six divided by 2 equals 3.

8 0

3 years ago

If a circle has a diameter of 44ft, what is the radius and circumference? Round to the nearest hundredth.

lara31 [8.8K]

Answer:

Radius: 22 Circumference: 138.23

Step-by-step explanation:

The radius is half of the diameter so 44/2 is 22.

The circumference can be found by 2*pi*r or pi*d.

$2\pi22$ or $\pi 44$

5 0

3 years ago

3( x -5)- 5x= 25+ 6x What is the answer and how do you solve this??

stiks02 [169]

1.) expand

3x - 15 - 5x = 25 + 6x

2.) simplify

-2x - 15 = 25 + 6x

3.) add 2x to both sides

-15 = 25 + 6x + 2x

4.) simplify

-15 = 25 + 8x

5.) subtract 25 from both sides

-15 - 25 = 8x

6.) simplify -15 - 25 to -40

-40 = 8x

7.) divide both sides by 8

-40/8 = x

8.) x = -5

7 0

3 years ago

This year, when Latifa and Jameel add their ages, the sum is 29. Latifa’s age is 10 less than twice Jameel’s age. The system of

aksik [14]

Answer:

Jameel is 13 and Laitfa is 13 x 2 - 10 = 16

16 + 13 = 29

Step-by-step explanation:

The equation has already been given to us, so we just have to solve it.

According to the question,

L + J = 29

L = 2J - 10

2J - 10 + J = 29

add 10 both sides

2J + J = 29 + 10 = 39

3J = 39

J = 39/3 = 13

Done!

5 0

3 years ago