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Stolb23 [73]
3 years ago
6

Peter's class launches a helium balloon for an experiment. The coordinate grid shows the height of the balloon as it rises in he

ight. At what rate does the balloon rise in height?
A. 40 feet per second
B. 100 feet per second
C. 30 feet per second
D. 50 feet per second​

Mathematics
1 answer:
n200080 [17]3 years ago
8 0

Answer:

C. 30 feet per second

Step-by-step explanation:

Looking at the graph, after 5 seconds, the balloon reaches 150 feet

at 10 seconds, it reaches 300 feet

Slope m = (y2-y1)/(x2-x1) = (300 - 150)/(10 - 5) = 150/5 = 30

y = mx + b

300 = 30(10) + b

300 = 300 + b

b = 0

then y = 30x

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Solve the system using the elimination method.
Sloan [31]

Answer:

x=151/64   y=9/8 z=-51/32

Step-by-step explanation:

2x+2y+5z- (2x-y+z)=-1-2

3y+4z=-3

2x+2y+5z- (2x+4y-3z)=-1-14

-2y+8z=-15

We have two equations 3y+4z=-3 and -2y+8z=-15 (We get it due to elimination method)

3y+4z=-3 (2)

-2y+8z=-15 (-3)

6y+8z=-6

6y-24z=45

(6y+8z)- (6y-24z)= -6-45

32z=-51

z=-51/32

3y-204/32=-3

3y= -96/32+204/32

3y=108/32

y=36/32=9/8

2x+2*9/8+5*(-51/32)=-1

2x+9/4-255/32=-1

2x+72/32-255/32=-1

2x-183/32=-32/32

2x=151/32

x=151/64

8 0
3 years ago
Which expression has the same value as -18 divided by -9?
jenyasd209 [6]

Answer:

<h3>-8 divided by (-4)</h3>

Step-by-step explanation:

-18 divided by -9 is <u>+2</u> and that is what you want.

-18 divided by 2 is -9, not correct.

-12 divided by (-3) is +4, not correct.

-10 divided by 5 is -2, not correct.

Leaving the <em>correct</em> answer: -8 divided by (-4) is <u>+2</u>.

Remember: a negative times a negative equals a positive.

8 0
3 years ago
Show your work
GarryVolchara [31]

warehouse location (24,-32)

airport location (-24,32)

distance = sqrt((x2-x1)^2 +(y2-y1)^2)=

Sqrt(24--24)62 +(32--32)^2) =

sqrt(48^2 +64^2) =80

then distance from airport to the factory = -24 to 24 = 48

80+48 = 128 miles total

Step-by-step explanation:

4 0
3 years ago
Directions: Given the point and slope, write the equation of the line.<br> (4, 2); slope = 36
olga nikolaevna [1]

Answer:

y - 2 = 36(x - 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 36 and (a, b ) = (4, 2 ) , then

y - 2 = 36(x - 4) ← equation of line

5 0
3 years ago
ASAP must show step by step (2 1/2) divided by (-1 7/8) =
Mars2501 [29]

Answer:

-1  1/3

Step-by-step explanation:

Convert any mixed numbers to fractions. New equation:

5/2 ÷ −15/8

Fraction division formula:

5x8/2x-15 = 40/-30

Convert:

-1  1/3

6 0
3 years ago
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