2 years ago

Parallel to y = 3x – 1 and passes through the point ( – 4, – 11)

1 answer:

7 0

If the line is parallel, you know it’s going to have the same slope, which in this case is 3

Using the format y= mx + b, plug in your x and y values to find b (m is the slope)
-11 = 3(-4) + b
-11= -12 + b
b = 1

You now have all the needed values to write the equation in slope-intercept form:

y = 3x + 1

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Rita has a rope 5 m long. She cuts it into 2 pieces of length 2 m 30 cm and 1 m 65 cm.

Diano4ka-milaya [45]

Answer:

3m 95cm

Step-by-step explanation:

its... simple math? i added 2 and 1; and 30 and 65?

6 0

2 years ago

A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65m/s in 5 seconds what

artcher [175]

The acceleration is defined as the ratio between the change in velocity and the time elapsed to perform such a change.

These "changes" are indicated with the capital greek letter delta, $\Delta$ , and when you write $\Delta x$ you mean the difference between the finial and the inital values of the variable x:

$\Delta x = x_{\text{fin}} - x_{\text{init}}$

So, the acceleration is defined as

$a = \dfrac{\Delta v}{\Delta t} = \dfrac{v_{\text{fin}} - v_{\text{init}}}{t_{\text{fin}} - t_{\text{init}}}$

In this case, the initial velocity is 35, the final velocity is 65. Assuming we start the clock at the beginning of the observation, the inital time is 0 and the final time is 5. So, we have

$a = \dfrac{65-35}{5-0} = \dfrac{30}{5} = 6$ m/s^2