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Svetradugi [14.3K]

3 years ago

7

Line 1 passes through the points (-4, -6) and (12,2). line 2 passes through the points (-6,-2) and (-2,0). Do the lines intersec

t?
(Can someone make a graph?)

1 answer:

kifflom [539]3 years ago

7 0

The lines dont intersect

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While traveling at a constant speed in a car, the centrifugal acceleration passengers feel while the car is turning is inversely

kvv77 [185]

A = k/R where A = acceleration and R = radius of the turn and k is a constant to be found.

Substituting the given values:-

10 = k / 70

k = 10*70 = 700

So the equation of the motion is A = 700 / R

When the radius is 140 the acceleration is 700 / 140 = 5 ft/sec/sec ( answer)

4 0

2 years ago

What is the slope of the line that passes through the points (-4, -9) and (5, 3)

egoroff_w [7]

Answer:

4/3

Step-by-step explanation:

Moving from (-4, -9) to (5, 3), x (the 'run') increases by 9 from -4 to 5, and y (the 'rise') increases by 12 from -9 to +3. Thus, the slope of the line connecting the two points is

m = rise / run = 12/9 = 4/3

It may help to think of the change in x (9) as the horizontal leg of a right triangle and the change in y (12) as the vertical leg. Then

m = (vertical leg length) / (horizontal leg length) = 12/9 = 4/3

5 0

2 years ago

Is this right or wrong ?

Otrada [13]

Answer:

$(3x - 2)(4x + 6) = 12 {x}^{2} + 18x - 8x + - 12 \\ = 12 {x}^{2} + 10x - 12$

6 0

3 years ago

The weekly salaries (in dollars) for

kompoz [17]

Answer:

a) Median stays the same

b) Mean is decreased by $9

Step-by-step explanation:

The median is the number or the average of the two numbers that is in the middle of a sorted distribution of numbers,

Here the median number will be the 5th number counting from left or right from the sorted list of numbers. Therefor is is 891.

When 1027 is changed to 946 it will fall between 938 and 1002. So updated sorted list of numbers will now look like,

679, 715, 799, 844, 891, 917, 938, 946, 1002

Here also median will be the 5th number which will be equal to 891.

Therefore, , median will not change.

Mean is the value we get by taking the total value of the salaries and divide it by the number of employees.

In the initial case,

Mean = $\frac{679+715+799+844+891+917+938+1002+1027}{9} =868$

When the salary is changed from $1027 to $946,

Mean= $\frac{679+715+799+844+891+917+938+1002+946}{9} =859$

Therefor we can see that Mean has decreased by $9.

8 0

3 years ago

Jorie leaves work 30 minutes late. She decides to make up time by taking the toll road instead of side streets. She can travel f

alexandr1967 [171]

Answer:

OPTION C

Step-by-step explanation:

We know that the toll road is 4 times faster than the side streets.

If 'x' represents the number of minutes she usually spend taking the side streets. The $\frac{1}{4} x$ represents the time she takes taking the toll road.

Also we need to create an equation to represent her total travel time, including wait time. Therefore, the equation is:

$y = \frac{1}{4}x + 30$

Therefore, the correct solution is the OPTION C.

4 0

3 years ago