Answer:
Step-by-step explanation:
The point slope form of a straight line is expressed as
y - y1 = m(x - x1)
Where
m represents slope of the line
y1 represents the initial value of y
x1 represents the initial value of x
If two lines are parallel, it means that they have the same slope. From the equation of the given line, slope = 1/2
Therefore,
m = 1/2
x1 = - 3
y1 = - 2
Substituting into the point slope equation, it becomes
y - - 2 = 1/2(x - - 3)
y + 2 = 1/2(x + 3)
The equation is
y + 2 = 1/2(x + 3)
The answer is x = 10, y = 10.
Step 1: rearrange the second equation for y.
Step 2: substitute y from the second equation into the first equation.
Step 3. Calculate y.
Step 1.
<span>The second equation is: 6x + 3y = 90
Divide both sides of the equation by 3:
(6x + 3y)/3 = 90/3
6x/3 + 3y/3 = 30
2x + y = 30
Rearrange the equation:
y = 30 - 2x
Step 2.
</span>Substitute y from the second equation (y = 30 - 2x) into the first equation:
<span>15x + 9y = 240
15x + 9(30 - 2x) = 240
15x + 270 - 18x = 240
15x - 18x = 240 - 270
-3x = -30
x = -30/-3
x = 10
Step 3.
Since </span>y = 30 - 2x and x = 10, then:
y = 30 - 2 * 10
y = 30 - 20
y = 10
Answer:
1/4 -or- 4
Step-by-step explanation:
take the x-axis value 16 and divide by the other x-axis value, 4.
Answer:
-7
Step-by-step explanation:
-5 + -2 = is the same as -5 - (+2), so the answer is -7
1 The volume of the cube is 2 * 2 * 2 or 2 ^ 3 in ^ 3 while the
volume of the large box is 10 * 10 * 10 or 10 ^ 3 in ^ 3.
2 The answer is 125. Just divide the large box to the volume
of the cube 1000 / 8 = 125.
3 The box will hold the same number of balls as small boxes.
With the balls, there is empty space.
4 The answer is still 125. Just find the volume of the box
and of the cube. Divide the box volume by the cube volume.
