Eric discovers a broken sprinkler in his yard. The sprinkler is 8 feet below ground level or -8 feet. Eric rented a machine that

If rational roots exist, they would be factors of the constant term (9) over factors of the leading coefficient (12).

Given:

The temperature recorded at 10:00 am is 8 degrees Fahrenheit.

The temperature decreases by 3 degrees Fahrenheit each hour.

To find:

The temperature at 2:00 pm on the same day.

Solution:

Let y represent the temperature after x hours since 10:00 am.

The temperature at 10:00 am serves as the initial temperature.

Thus, the y-intercept of the linear equation is 8.

The temperature reduces by 3 degrees Fahrenheit every hour.

This indicates the slope of the linear equation is -3, with the negative sign indicating a decrease.

The slope-intercept form of a linear function is indicated by

where m is the slope and b is the y-intercept.

Inserting m=-3 and y=8 into the above equation gives us the required values.

From 10:00 am to 2:00 pm spans 4 hours; therefore, substitute x=4 into the above equation.

Consequently, the temperature at 2:00 pm is -4 degrees Fahrenheit.

Let’s clarify this: the basketball moves faster, indicating the tennis ball won’t be able to catch up. Therefore, we utilize the formula:
Vr=Vb-Vt
<span>=0.5-0.25=0.25
</span>Thus, the relative speed is <span>0.25m/s.
I hope this is helpful.</span>

1/2x + y = 3

Rearrange the equation to achieve the slope-intercept form. (y=mx+b)

1/2x + y = 3

Eliminate 1/2x from both sides.

y = -1/2x + 3

The y-intercept (where the line intersects the y-axis) is three, and the slope (the change in y over the change in x) is -1/2.

Hope this helps!

Answer: d. AB = CD and BC = AD

Step-by-step explanation:

A parallelogram is defined as a four-sided figure with the following characteristics:-

1. Opposite sides are equal (AB = CD and BC = AD ).
2. Opposite angles are equal (∠A=∠C and ∠D=∠B).
3. Consecutive angles are supplementary (∠A + ∠D = 180°).
4. The diagonals bisect one another.
5. If one angle is a right angle, then all angles are right angles.