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SVETLANKA909090 [29]
3 years ago
14

A red ballon starts at 7 meters off the ground and rises at 3 meters per second. A ballon starts at 12 meters off the ground and

rises at 2 meters per second. Write and solve an equation to determine when the balloons are at the same height
Mathematics
1 answer:
GrogVix [38]3 years ago
4 0
Let x be the no. of seconds it takes for the balloons to be at the same height.
7+3x = 12+2x
Deduct both sides by 2x.
7+x = 12
Deduct both sides by 7.
x = 5
Ans: It will take 5 seconds for the balloons to be at the same height.
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Select the action you would use to solve 3x = 12. Then select the property
podryga [215]

Answer:

C: Divide both sides by 3

F: Division property of equality

Step-by-step explanation:

3x=12\\x=\frac{12}{3}\\x=4

3 0
3 years ago
I am the number of red tiles in a design with red and blue tiles. The red tiles each have 3 sides. The blue tiles each have 5 si
nekit [7.7K]
If each blue tile has 5 sides and you know you have 3 blue tiles you can multiply 5 by 3
5 x 3 = 15 sides


Next you know the total number of sides is 30 and you just figured out that your 3 blue tiles have a total of 15 sides so you can subtract 15 from 30 to find how many sides are left
30 - 15 = 15sides

Since you know that these are not blue tiles because in the question it stated that you have 3 blue tiles. These have to be sides for red tiles.

Each red tile have 3 sides so you can divide 15 by 3
15/3 = 5

There are 5 red tiles
You are the number 5


8 0
3 years ago
Find the equation of the circle with a diameter whose end points are (-1,-2) and (-3,2)
Sergeeva-Olga [200]

Answer:

The equation of the circle with a diameter whose end points are (-1,-2) and (-3,2) is

x^{2} +y^{2}+4x-1=0

Step-by-step explanation:

<u>Explanation:</u>-

<u>Step 1:</u>-

The equation of the circle having center and radius is

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

here center is (h,k) and radius is r

Given diameter whose end points are (-1,-2) and (-3,2)

The diameter of the circle is passing through the center of the circle

so center of the circle = midpoint of two end points

      (\frac{-1 +(-3) }{2} ,\frac{-2+2 }{2}  )

    (-2,0)

therefore center (h,k) = (-2,0)

<u>Step 2:-</u>

we have to find the radius of the circle

the radius of the circle = the distance from center to the one end point

i.e., C P = r

Given one end point is P(-3,2) and center C(-2,0)

The distance formula of two points are

\sqrt{(x_{2}-x_{1} ) ^{2}+ (y_{2}-y_{1} ) ^{2}}

r=\sqrt{{(-3)-(-1) ) ^{2}+ (2-(-2)) ^{2}}

r=\sqrt{5}

<u>Step 3</u>:-

center (h,k) = (-2,0) and

radius r=\sqrt{5}

The standard form of circle equation

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

(x-(-2))^2+(y-0)^2=\sqrt{5} ^2

on simplification is

x^{2} +y^{2}+4 x-1=0

5 0
3 years ago
Help solve this I’m not sure if my answer was right. Pythagorean theorem.
Ganezh [65]

Answer:

C. since 8, 15, 17 are pythagorean triples

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What triangle is 8, 11, 12. right, acute, obtuse, none
krek1111 [17]

Answer:

im saying acute

Step-by-step explanation:

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