MATHEMATICS
HIGH SCHOOL

Answer: It doesn't. That's the formula to calculate the gradient of a line (of the form y=mx+c).

COLLEGE

Find the area of the region lying to the right of x=y^2-1 and to the left of x=7-y^2

First find intersection by equating values of y^2,

x+1=7-x

Solve for x

x=3

consequently

y^2=7-x=4 =>

The intersection points of the two curves are therefore (3,2) and (3,-2).

The area enclosed by the two curves is therefore obtained by integration within appropriate limits.

Answer: Area of between the two curves is

x+1=7-x

Solve for x

x=3

consequently

y^2=7-x=4 =>

The intersection points of the two curves are therefore (3,2) and (3,-2).

The area enclosed by the two curves is therefore obtained by integration within appropriate limits.

Answer: Area of between the two curves is

MIDDLE SCHOOL

Which of the following could NOT be the lengths of the sides of a right triangle? 2 9 ft, 12 ft, 15 ft

c 4 cm, 7.5 cm, 8.5 cm

b. Sin., 10 in, 15 in

d 15 m, 2 m, 2.5 m

D. 15 m, 2m, 2.5m. it doesn’t match the triangle inequality theorem. the sum of the side lengths don’t exceed that of the third side

COLLEGE

On a 15 hour trip, Rob drove 35% of the time and Mark drove the remainder of the time. How many hours did Mark drive? Explain 9.75 as the answer please?

Answer:

9.75 hours

Step-by-step explanation:

If Rob drove 35% of the time and Mark drove the remainder of the time, the total is 100 %

100-35 = 65

so Mark drove 65% of the time

The total time driven was 15 hours, so we multiply the total time driven by the percentage of time that Mark drove to find the number of hours that Mark drove.

15 * 65%

15*.65

9.75 hours

HIGH SCHOOL

Determine wether the graphs of y=-2x-7 and -y=2x+13 are parallel, perpendicular, coincident, or none of these

Parrallel is the correct answer

The slopes are the same so the graphs are parallel.