A hot air balloon is 10 feet off the ground after 2

Somebody answer !!!!!

Rainbow [258]

Answer:

D)

Step-by-step explanation:

First we have to subtract 5 from both sides

$\sqrt{x-6} +5=12\\\\\sqrt{x-6}+5-5=12-5\\\\\sqrt{x-6}=7$

Now, square both sides

$(\sqrt{x-6})^{2}=7^{2}$

x - 6 = 49

Now, add 6 to both sides

x - 6 +6 = 49 + 6

x = 55

8 0

2 years ago

What is the distance between parallel lines whose equations are y = 2x + 7 and y = 2x – 3?

malfutka [58]

Answer:

The distance is $\sqrt{20}$ or $2\sqrt{5}$ .

Step-by-step explanation:

Slope of parallel: 2

Slope of perpendicular: -1/2

Pick a point for y =2x + 7. For example (0,7)

Use the perpendicular slope to get to the other line to find the other point of y=2x-3. Look at the screenshot...I got (4,5).

Distance formula $\sqrt{(x_{2}-x_{1} )^{2}+(y_{2} -y_{1})^2 }$

Insert (0,7) and (4,5)

$\sqrt{(0-4)^{2}+(7-5)^2 }$ = $\sqrt{(-4)^{2}+(2)^2 } = \sqrt{(16)+(4)} } = \sqrt{20} = 2\sqrt{5}$

6 0

2 years ago

(c) what is the probability that jeanie remembers the first errand but not the second or third?

erastovalidia [21]

1/3 one out of three

3 0

3 years ago

A set of average city temperatures in May are normally distributed with a mean of 20.66 ^\circ \text{C}20.66

Angelina_Jolie [31]

Answer:

0.9962

Step-by-step explanation:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

$z=\frac{x-\mu}{\sigma}\\ \\\mu=mean,\sigma=standard\ deviation, x=raw\ score$