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Fudgin [204]
3 years ago
15

Rodney is given two linear equations: x – y = 11 and 2x + y = 19. What value of x should he get as a solution for this system of

linear equations?
a.3/41
b.9
c.10
d.41/3
Mathematics
2 answers:
antiseptic1488 [7]3 years ago
8 0
The solution to the answer is as follows:

<span>x - y = 1...[1],
 
2x + y = 19...[2], {[1]+[2]}---> 3x = 30,
 
ie., x = 10. C is correct answer.
</span> 
I hope my answer has come to your help. God bless and have a nice day ahead!
diamong [38]3 years ago
7 0
<h3><u>Answer:</u></h3>

Option: c is the correct answer.

The value of x is 10.

<h3><u>Step-by-step explanation:</u></h3>

We know that a solution of the system of linear equation can be obtained by the method of substitution.

Here we are given a system of equations as:

        x-y=11-------(1)

and  2x+y=19------(2)

We will get the value of y in terms of x from equation(1) and put that value in equation (2) to obtain the value of x as:

y=x-11

Now putting in equation (2)

2x+x-11=19

⇒ 3x-11=19

⇒  3x=19+11

⇒ 3x=30

⇒ x=10

( since on dividing both side by 3)

Hence, the value of x is:

10

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. Solve for the given variable.<br> a. 4y + 3 = 19<br><br><br><br> b. 12n - 3 = 5
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(a) 4

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4 0
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A toy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 88 feet pe
s344n2d4d5 [400]

a) The time taken by the rocket to reach the maximum height is 2.75 seconds.

b) The maximum height of the rocket will be 127 feet.

<h3>What is speed?</h3>

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Given that:-

  • A toy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 88 feet per second.
  • The height​ h, in​ feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=−16t²+88t+6.

a) The time taken by the rocket will be calculated as:-

We have a function h(t)=−16t²+88t+6. Now by taking the derivative of the function with respect to time and equating it to zero we will get the maximum time in which the rocket will reach the maximum height.

h(t)  =  -16t² + 88t + 6

h'(t)    =     0

-32t   +   88   =  0

32t      =      88

t     =    88 / 32    =  2.75 seconds

So the maximum time is 2.75 seconds.

b) Maximum height will be calculated as:-

Put the value of maximum time in the function h(t)  =  -16t² + 88t + 6 we will get the maximum height.

h(t)  =  -16t² + 88t + 6

h(2.75) = -16(2.75)² + ( 88 x 2.75 ) + 6

h(2.75) = 127 feet

Therefore the time taken by the rocket to reach the maximum height is 2.75 seconds and the maximum height of the rocket will be 127 feet.

To know more about Speed follow

brainly.com/question/6504879

#SPJ1

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The total will be $6,360.
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