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Alex787 [66]
3 years ago
6

use the elemination method to solve the system of equations choose the correct ordered pair 3x+5y=48 -3x+5y=12

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer:

y=6\\x=6

Step-by-step explanation:

 3x+5y=48

-3x+5y=12

sum the two equations

10y=60\\y=6\\3x+5y=48\\3x=48-5*6\\x=6\\

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Need help please , Find FE if TE=8
elena55 [62]
I believe the answer is 16
3 0
3 years ago
Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the
Rama09 [41]

<em><u>Question:</u></em>

Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the ground. Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground?

1s   2s   3s   4s

<em><u>Answer:</u></em>

It takes 2 seconds for object to hit the ground

<em><u>Solution:</u></em>

<em><u>The given equation is:</u></em>

h(t) = -16t^2 + v_0t+h_0

Initial velocity = 27 feet/sec

h_0 = 10\ feet

Therefore,

h(t) = -16t^2 +27t+10

At the point the object hits the ground, h(t) = 0

-16t^2 +27t+10 = 0\\\\16t^2-27t-10=0

Solve by quadratic formula,

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=16,\:b=-27,\:c=-10:\quad \\\\t=\frac{-\left(-27\right)\pm \sqrt{\left(-27\right)^2-4\cdot \:16\left(-10\right)}}{2\cdot \:16}\\\\t = \frac{27 \pm \sqrt{1369}}{32}\\\\t = \frac{27 \pm 37}{32}\\\\We\ have\ two\ solutions\\\\t = \frac{27+37}{32}\\\\t = \frac{64}{32}\\\\t = 2\\\\And\\\\t = \frac{27-37}{32}\\\\t = -0.3125

Ignore, negative value

Thus, it takes 2 seconds for object to hit the ground

7 0
3 years ago
Mr. Fink's economy car can travel 420 miles on a 12-gallon tank of gas. Determine how many miles he can travel on 8 gallons.
Sphinxa [80]

Answer:

280 miles

Step-by-step explanation:

So, 420 miles=12 gallons

That means that for 1 gallon you would be able to go 35 miles.

Just multiply that by 8. 35*8=280

3 0
3 years ago
Mrs. Long just got a new puppy! The puppy is learning how to run on hard wood floors. The puppy is running at a rate if 4 feet p
Igoryamba

Answer:

Points apply to the given situation:

(a)The puppy will run into the wall after 5 seconds

(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second.

(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.

Step-by-step explanation:

We have given,

A puppy is running at a rate = 4 feet per second

A wall is 20 feet away from puppy. That means initially puppy is 20 feet away from the wall.

So, time taken by puppy to reach the wall =

i.e. time take by puppy to reach the wall =  = 5 seconds

 Now we write the points that apply to this situation:

(a)The puppy will run into the wall after 5 seconds

(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second. {Since the puppy is moving towards the wall that means horizontal distance is decreasing at a rate of -4 feet per second}

(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.

6 0
3 years ago
-2x+18-1x+4=34 Show your work
Ede4ka [16]

Answer:

x=-4

Step-by-step explanation:

-2x+18-1x+4=34

step 1 combine like terms

-2x+-1x=-3x

18+4=22

-3x+22=34

step 2 subtract each side by 22

-3x=12

step 3 divide each side by -3

x=-4

hope this helps (:

4 0
2 years ago
Read 2 more answers
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