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RoseWind [281]
3 years ago
12

Need help asap, marking first as brainliest, would really appreciate it.

Mathematics
1 answer:
kow [346]3 years ago
3 0

Answer:

B. One solution

Step-by-step explanation:

Here are a system of how two equations can be classified ;

• If the gradients are the same but the y-intercepts are different, the system has no solution.

• If the gradients are different, the system has one solution.

• If the gradients are the same and the y-intercepts are the same, the system has infinitely many solutions.

Y= (x/4) + 3

When x =1

y= 13/4

When x=3

y= 15/4

Gradient of Y= (x/4) + 3

=∆y/∆x

= (15/4 - 13/4)/ ( 3-1)

=( 2/4)÷ 2

=( 2/4 ) × (1/2)

= 1/4

-4x + y = 4

When x= 1

Y= 8

When x=3

Y=16

Gradient of -4x + y = 4

=∆y/∆x

= (16 - 8)/(3-1)= 8/2 = 4

Since the gradients are different then the system has one solution.

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A plane traveled 1248 miles to Ft. Worth and back. The trip there was with the wind. It took 12
Artemon [7]

speed of the  plane in still air is 76 m/s and speed of the wind is 28 m/s .

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

Here we have , A plane traveled 1248 miles to Ft. Worth and back. The trip there was with the wind. It took 12  hours. The trip back was into the wind. The trip back took 24 hours. We need to find What is the speed of the  plane in still air? What is the speed of the wind? Let's find out :

<u>For Going trip :</u>

Let speed of plane be u , and wind be v so : Speed = ( Distance ) / ( time )

⇒ u+v = \frac{1248}{12}

⇒ u+v = 104   ...........(1)

<u>For Returning Trip :</u>

⇒ u-v = \frac{1248}{24}

⇒ u-v = 52   ...........(2)

Adding both equations we get :

⇒ (u+v)+(u-v)=104+52

⇒ 2u=156

⇒ u= 76m/s

Putting this value in equation (1) we get :

⇒ 76+v = 104

⇒ v=28m/s

Therefore , speed of the  plane in still air is 76 m/s and speed of the wind is 28 m/s .

6 0
3 years ago
Which of the following illustrates the truth value of the given statements?
bekas [8.4K]

Answer:

T and F

Step-by-step explanation:

Hi! Maybe I am reading it wrong, but only 2 statements are given. The answer to these statements are true and false.

"A square root of 16 is 4."

4^{2} =16

4 squared, or 4 * 4 is equal to 16, and therefore this is true.

"The only square root of 9 is -3."

This is false. 9 has 2 square roots: 3 and -3.

3^{2} =9\\-3^{2} =9

3 * 3 = 9, and so does (-3) * (-3).

So we have T and F, which eliminates the second, third, and fourth choices, which means even without a last statement, A is your correct answer.

Hope I helped! :)

3 0
3 years ago
I WILL MARK BRAINIEST <br> please answer question 5
Marat540 [252]

Answer:

a = 150

Step-by-step explanation:

The sum of the internal angles of an octagon is 1080°.

4a+4(120)=1080 (There are four 120^{\circ} and 4 a^{\circ}, they sum to 1080°)

4a + 480 = 1080

4a = 600

a = 150

Hope this helps :)

4 0
3 years ago
Read 2 more answers
Which of the following symbols could correctly finish the statement. Select all that apply
TEA [102]

Answer:

>

Step-by-step explanation:

5 0
3 years ago
What percentage of a day is 4 hours?​
Kamila [148]

Answer:

1/6

Step-by-step explanation:

3 0
3 years ago
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