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3 years ago

8

A line segment has endpoints at (-7, 2) and (8,8). What is the x-coordinate of the point on the line segment that is the distanc

e from (-7, 2) to (8,8)?

2 answers:

slava [35]3 years ago

8 0

Answer:

Sorry dud it been long time I've not answered 0ne

sveticcg [70]3 years ago

6 0

Answer:

Heyy

Step-by-step explanation:

Did ya get the answer ???

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Which statement about human activity and the environment is NOT true?

RSB [31]

Humans knowingly create environmental disasters.

Step-by-step explanation:

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2 years ago

A girl starts to walk to her school, which is 20 miles away, at 6:50 and at a rate of 3 miles per hour. After a while, her dad p

Alexeev081 [22]

The girl walked a distance of $\boxed{{\mathbf{5 miles}}}$ in her way.

Further explanation:

The time can be calculated as,

${\text{ time}}=\frac{{{\text{distance}}}}{{{\text{speed}}}}$

Given:

It is given that a girl stands 20 miles away from the school at $6:50{\text{ am}}$ and she started walking at the rate of $3{\text{ mi/hr}}$ and then after some time her dad pick up and he drives at the rate of $30{\text{ mi/hr}}$ . They reach the school at $9:00{\text{ am}}$ .

Step by step explanation:

Step 1:

Consider $x$ as the distance she walked in her way.

The speed of the girl when she walked is $3{\text{ mi/hr}}$ .

Now use the formula of time to obtain the walk time.

$\begin{gathered}{\text{ walktime}}=\frac{{{\text{distance walked}}}}{{{\text{walking speed}}}}\hfill\\{\text{ walktime}}=\frac{x}{3}\hfill\\\end{gathered}$

Since the total distance is $20{\text{ miles}}$ .

Then consider $20-x$ as the distance driven by the car.

The driving speed is $30{\text{ mi/hr}}$ .

Now use the formula of time to obtain the drive time.

$\begin{gathered}{\text{drive time}}=\frac{{{\text{distance travelled by car }}}}{{{\text{ speed of car}}}}\hfill\\{\text{drive time}}=\frac{{20-x}}{{30}} \hfill\\\end{gathered}$

Step 2:

Now we calculate the total time took by girl to reach the school.

$9:00-6:50={\text{2 hrs 10 min}}$

Now convert the timing into hours as,

$\begin{aligned}2{\text{ hours 10 minutes}}&=2+\frac{{10}}{{60}}\\&=2\frac{1}{6}\\&=\frac{{13}}{6}{\text{ hrs}}\\\end{aligned}$

Step 3:

Total time is the sum of drive time and walk time.

The total time can be expressed as,

$\frac{x}{3}+\frac{{20-x}}{{30}}=\frac{{13}}{6}$

Now solve the above equation by cross multiply method.

$\begin{aligned}\frac{x}{3}+\frac{{20-x}}{{30}}&=\frac{{13}}{6}\hfill\\\frac{{10x+20-x}}{{30}}&=\frac{{13}}{6}\hfill\\\frac{{9x+20}}{{30}}&=\frac{{13}}{6}\hfill\\6\left({9x+20}\right)&=13\left({30}\right)\hfill\\\end{aligned}$

Now simplify the further equation.

$\begin{aligned}6\left({9x+20}\right)&=13\left({30}\right)\hfill\\54x+120&=390\hfill\\54x&=390-120\hfill\\54x&=270\hfill\\\end{aligned}$

Simplify the further equation.

$\begin{aligned}54x&=270\hfill\\x&=\frac{{270}}{{54}}\hfill\\x&=\frac{{45}}{9}\hfill\\x&=5\hfill\\\end{gathered}$

Therefore, the girl walked 5 miles.

Learn more:

Learn more about the distance between the points <u>brainly.com/question/6278187 </u>

Learn more about the equivalent fraction <u>brainly.com/question/952259 </u>

Learn more about midpoint of the segment <u>brainly.com/question/3269852 </u>

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Speed, distance and time

Keywords: girl, distance, drive, walk, drive time, dad, speed, travelled, formula, cross multiply, fraction, number, multiply, addition, subtraction, equation, school

8 0

3 years ago

Read 2 more answers

A regression equation is determined that describes the relationship between average January temperature (degrees Fahrenheit) and

Musya8 [376]

Answer:

Decreases by 2 degrees

Step-by-step explanation:

The expression that describes temperature as a function of latitude is:

$T=110-2(Latitude)$

This equation represents a linear relationship between latitude and temperature in a way that an increase in latitude causes a decrease in temperature. The magnitude of this decrease is quantified by the slope of the linear equation, which is -2. Therefore, the estimated temperature decreases by 2 degrees when latitude is increased by one.

8 0

2 years ago

A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute. After 1.5 minutes, the balloon is at an al

azamat

Answer:

The balloon will not reach 2,500 feet after 4 minutes.

Step-by-step explanation:

The equation of the line in the point-slope form is

$y-y_1=m(x-x_1)$

A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute, then the slope is

$m=120$

After $x_1=1.5$ minutes, the balloon is at an altitude of $y_1=2,150$ feet. This means, the line passes through the point (1.5, 2,150).

Substitute the slope and point coordinates into the equation:

$y-2,150=120(x-1.5)$

We know that after 3 minutes, the balloon is at an altitude of 2,330 feet. Check this:

$2,330-2,150=180\\ \\120(3-1.5)=120\cdot 1.5=180\\ \\2,330-2,150=120(3-1.5)$

Now, find the height after 4 minutes:

$y-2,150=120(4-1.5)\\ \\y=120\cdot 2.5+2,150=300+2,150=2,450$

Thus, the balloon will reach only 2,450 feet after 4 minutes.

4 0

3 years ago

Ryan has 3.25 pounds of hamburger. How many 0.25 pound hamburgers can he make?

Marina86 [1]

Ryan has 3.25 of hamburger. How many 0.25 pound of hamburgers can he make? The answer: 13

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3 years ago

Read 2 more answers