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Gennadij [26K]
2 years ago
12

Kiley went 5.7 km/h north and then went 5.8 km/h west. From start to finish, she went 8.1 km/h northwest to find Maya Rodriguez.

Mathematics
1 answer:
enot [183]2 years ago
6 0

Answer:

  • D. 5.7 km/h north and 5.8 km/h west are instantaneous velocities, while 8.1 km/h northwest is the average velocity.

Step-by-step explanation:

We are given directions and position change.

This is about the velocity, the speed doesn't take into account the direction.

We also see the change in the velocity. The numbers give us instantaneous velocities and the displacement is the average velocity as the sum of vectors.

Considering the above explanation, correct choice is D.

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The height of a rectangular prism is 3 feet. The length and width can be expressed as x-1 and x+4. If the volume of the prism is
SashulF [63]

Answer:

Step-by-step explanation:

Volume  = 198 ft

length * width * height = 198

(x - 1) * (x + 4) * 3 = 198

(x - 1) * (x + 4)  = 198/3

(x - 1) * (x + 4) = 66

x*x + x*4 -1*x - 1*4 = 66   {Use FOIL method to multiply}

x² + 4x - x - 4 = 66

x² + 3x - 4 =66

x² + 3x - 4 - 66 = 0

x² + 3x - 70 = 0

Now factorize.

x² + 10x - 7x - 7*10 = 0

x(x +10) - 7(x + 10 ) = 0

(x + 10)(x - 7) = 0

x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}

x = 7

length = x - 1 = 7 - 1 = 6ft

Width = x + 4 = 7 + 4 = 11 ft

4 0
3 years ago
Given the equation −4x + 10 = 2, which order of operations completely solves for x?
hammer [34]
Hi there!

Answer:
The answer is "<span>Subtract 10, then divide by −4"

Explanation:
To solve a linear equation (for x) we need to isolate the variable (x). First we need to bring the variables to the left side (in this case, it is already on the correct place). Next up is bringing all the integers to the right side. Therefore, we must first subtract 10. Our final step is dividing by the number that is placed in front of x (in this case divide by </span><span>−4)
</span><span>
Solving the equation:
</span><span>−4x + 10 = 2
First subtract 10 (from both sides of the equation)

</span>−4x  = −8
Divide by −4

x = −8 / −4 = 2
Therefore, the solution is x = 2

I hope this anwer helps you!

4 0
3 years ago
Work out the value of 4^0 x 16^0
NNADVOKAT [17]

Answer:

1

Step-by-step explanation:

Anything to the power of 0 is 1. <em>So</em>,

1 x 1 = 1

8 0
3 years ago
Read 2 more answers
19. Ms. Porter had eight parties at her house last year. The number of guests at each party
KatRina [158]

Answer:

17

Step-by-step explanation:

Order the numbers from Smallest to Largest...

9, 10, 14, 15, 19, 21, 21, 27

Then the middle number is your answer.

Since there are 2 Middle Numbers, you add them together, and divide by 2.

Which would be, 17.

6 0
2 years ago
Read 2 more answers
An adult giraffe was recently measured was 5 1/6 yards tall, including its neck. This giraffe,s neck was 2 1/3 yards long. What
Artemon [7]

Answer:

2 5/6

Step-by-step explanation:

you have to turn the 1/3 into 2/6 by multiplying by 2 to make it easier. then, you subtract 2 2/6 from 5 1/6 and you get 2 5/6 for the length of the body

6 0
3 years ago
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