Please help If you get this right I will get you brainless

The sketch shows the distance three runners travel during a race. Describe what occurs at times A,B,C and D. In what order do th

goldfiish [28.3K]

Answer:

Notice that the distance is in the y-axis, and the time in the x-axis.

First, let's see what happens in the four points:

A) You can see that in point A, the steepness of the line increases, this means that the speed of the runner increases in that point.

B) In this point, the runner that increased his/her speed in point A crosses the graph of another runner, this means that they are at the same distance to the end and at the same time.

C) In this point again two runners are at the same distance and the same time, and we also can see that the runer that increased his/her speed at point A, now has reached the end of the race (because his line stops increasing, wich means that he/she already finished the race)

D) The las runner finishes the race at point D.

Then the first runner that finishes the race is the one with the shorter graph (shorter graph means that he ran for less time than the others, wich means that he/she finished first)

The last runner is the one that finished at point D,

The middle one finishes right after the point C.

6 0

3 years ago

What is the slope of the line that is perpendicular to the line that passes through (-2, 7) and (4, 9)? Type a numerical answer

kodGreya [7K]

Answer:

Therefore $m_{2}$ = -3.

Step-by-step explanation:

i) let us say the slope of the line passing through (-2,7) and (4,9) is $m_{1}$ .

ii) to find the slope of the line passing through two points ( $x_{1}$ , $y_{1}$ ) and ( $x_{2}$ , $y_{2}$ ) we use the formula m = $\dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$ . Therefore we can say that $m_{1}$ = $\dfrac{9 - 7}{4 - (-2)}$ = $\dfrac{1}{3}$ .

iii) let us say the slope of the perpendicular line to the line passing through (-2,7) and (4,9) is $m_{2}$

iv) from the formula for the slopes of a line and the line perpendicular to it which is given by $m_{1}$ × $m_{2}$ = -1, therefore $m_{2}$ = -1 ÷ $m_{1}$ = -3. Therefore $m_{2}$ = -3

6 0

3 years ago

Find value of x of question number F

a_sh-v [17]

Answer:

X=17

Step-by-step explanation:

AC^2=AB^2 +BC^2(PYTHAGOREAN THEORM)

100=64 +BC^2

36=BC^2

6CM=BC

AD^2=AB^2+BD^2(PYTHAGOREAN THEORM)

X^2 =64+225

X^2=289

X=17

6 0

3 years ago

The table below shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the sam

Amiraneli [1.4K]

Answer:

The equation is:

$j/g=5/2$

Or, what is equivalent:

$j=5g/2$

Explanation:

This is the table that shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the same recipe:

Lemon juice (mL) Sugar (g)

Batch A 500 200

Batch B 750 300

Batch C 1500 600

You need to write an equation to describe the relationship between j, the amount of lemon juice in mL and s, the amount of sugar in g.

Calculate some ratios, to determine the kind of relation between the amount of juice and the amount of sugar in the recipe.

Batch A: lemon juice / sugar = 500 / 200 = 5/2

Batch B: lemon juice / sugar = 750/300 = 5/2

Batch C: lemon juice / sugar = 1500/600 = 5/2

Hence, the amount of juice, j, and the amound of sugar, s, are proportional and the constant of proportionality is 5/2. From this, the equation is:

$j/g=5/2$

Or, what is equivalent (solving for j):

$j=5g/2$

3 0

3 years ago

-3x + y = -24 y = 7x + 22

levacccp [35]

Answer:

first one: 8

second one: 3

Step-by-step explanation:

-3x + y = -24 |÷(-3x)

y = 8

y = 7x + 22 |-y

(y would be 1; the 7x moves to the other side.) meams:

7x = 21 |÷7

x = 3

3 0

3 years ago

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