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3 years ago

10

On a number line,how far apart are the numbers -5.5 and 7.5

1 answer:

ICE Princess25 [194]3 years ago

6 0

13. Since you’re just looking for distance, you can disregard the negative sign and just add the distances together.

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-5+7=7+-5 is this number sentence true or false

vovikov84 [41]

Answer: True

Step-by-step explanation:

We can simplify each of the expressions on either side to see if they are equal.

Left side: -5+7=7-5= 2

Right side: 7+-5=7-5= 2

Yes, they are equal.

7 0

1 year ago

Read 2 more answers

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

olchik [2.2K]

Answer:

14.52 seconds.

Step-by-step explanation:

We have been given that the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation $y=-16x^2+224x+121$ . We are asked to find the time, when the rocket will hit the ground.

We know that the rocket will hit the ground, when height will be 0. So to find the time when rocket will hit the ground, we will substitute $y=0$ in our given equation as:

$0=-16x^2+224x+121$

Let us solve for x using quadratic formula.

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-224\pm\sqrt{224^2-4(-16)(121)}}{2(-16)}$

$x=\frac{-224\pm\sqrt{50176+7744}}{-32}$

$x=\frac{-224\pm\sqrt{57920}}{-32}$

$x=\frac{-224\pm240.66574}{-32}$

$x=\frac{-224+240.66574}{-32}, x=\frac{-224-240.66574}{-32}$

$x=\frac{16.66574}{-32}, x=\frac{-464.66574}{-32}$

$x=-0.520804375, x=14.520804375$

Upon rounding to nearest 100th of second, we will get:

$x\approx -0.52, x\approx 14.52$

Since time cannot be negative, therefore, the rocket will hit the ground after 14.52 seconds.

6 0

4 years ago

Read 2 more answers

Which two sets of angles are corresponding angles?

NISA [10]

/_w and /_v; /_x and /_y

3 0

3 years ago

Read 2 more answers

15 points! What is the scale factor of the dilation?

maw [93]

Answer: $\frac{1}{2}$

Step-by-step explanation:

Use the formula for calculate the distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Calculate the distance AB. Substitute the coordinates into the formula. Then:

$d_{AB}=\sqrt{(8-0)^2+(8-(-7))^2}$

$d_{AB}=17$

Calculate the distance A'B'. Substitute the coordinates into the formula. Then:

$d_{A'B'}=\sqrt{(2-6)^2+(1-5-(-6))^2}$

$d_{A'B'}=\frac{17}{2}$

As you can see, the distance A'B' is the distance AB multiplied by 1/2. Therefore, this is the scale factor.

5 0

3 years ago

Does the ordered pair (−1,−3) satisfy the following system of equations? {2x+5y=−17−4x+3y=−5

andreev551 [17]

Answer:

yes

Step-by-step explanation:

Try it and see:

2(-1) +5(-3) = -2-15 = -17 . . . . . works in the first equation

-4(-1) +3(-3) = 4 -9 = -5 . . . . . . works in the second equation

Yes, the ordered pair (-1, -3) satisfies the equations.

__

Or, you can check the solution using a graphing calculator.

5 0

3 years ago