Answer:
The distance between those points is 13.
Step-by-step explanation:
1. (x2-x1) = (-2 - -7) = 5
2. (y2-y1) = (-7 - 5) = -12
3. (5)2 + (-12)2 = 25 + 144 = 169
4. √169 = 13
5. 13
Answer:

Step-by-step explanation:
For this triangle we have to

We want to find the length of b
We know that the sum of the internal angles of a triangle is 180 °
So

Now we use the sine theorem to find the length of b:

Then:

Step-by-step explanation:
let's first convert feet to inches
4 ft = 48 inches ( width )
6.5 ft = 78 inches ( length )
12.5 ft = 150 inches ( height )
each cube is 1/4 x 1/4 x 1/4
x-axis ( length )
78 ÷ 1/4 = 78 x 4 = 312 cubes
y-axis ( width )
48 x 4 = 192 cubes
z-axis ( height )
150 x 4 = 600 cubes
the total number of cubes fit in the closet is :
312 x 192 x 600 = 35,942,400 cubes
Answer:

Step-by-step explanation:
We do not have enough information for slope intercept form. But we can use the point-slope formula to find the information. The formula is
where we substitute a point (x,y) for
.
We have m=3/4 and (4, 1). We input m and
.

We now simplify the parenthesis and solve for y.

We convert -4 into a fraction with 1 as the denominator.

We add 1 to both sides to isolate y,

This is slope intercept form. The line as slope 3/4 and y-intercept (0,2) or b=2.