Hello!
To answer this question we need to find the factors of -120.
The total set (both negative and postive! ) are the following:
- 1, -120
- 2, -60
- 3, -40
- 4, -30
- 5, -24
- 6, -20
- 8, -15
- 10, -12
- 12, -10
- 15, -8
- 20, -6
- 24, -5
- 30, -4
- 40, -3
- 60, -2
- 120, -1
After looking over all of these factors, we can see that 10 · -12 is equal to not only -120, but when the multiplication sign is replace by addition, it is equal to -2!
Hope this helps.
Answer:
Step-by-step explanation:
Let 
denotes number of pencils, markers, erasers respectively.
For Andrea:
For Justin:
For Virginia:
On subtracting equations (i) and (ii), we get
Put 
in equation (i)
Put in equation (iii)
Multiply equation (iv) by 5 and equation (v) by 6 and then subtract both the equations.
Put 
in equation
Put 
in equation (i)
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m represents the slope of the line
c represents the y intercept
The equation of the given line is
2x + 4y = 20
4y = - 2x + 20
Dividing through by 4, it becomes
y = - x/2 + 5
Comparing with the slope intercept form, slope = - 1/2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2
To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes
3 = - 1/2 × - 6 + c
3 = 3 + c
c = 3 - 3 = 0
The equation becomes
y = - x/2
<h3>
Answer: 22</h3>
===============================================
Explanation:
- x = measure of angle 1 = angle WXY
- 2x = twice the measure of angle 1 = measure of angle 2 = angle YXZ
The two angles mentioned combine to form angle WXZ which is 66 degrees.
angle1+angle2 = angle WXZ
x+2x = 66
3x = 66
x = 66/3
x = 22
Angle 1 is 22 degrees and angle 2 is 22*2 = 44 degrees.
Check:
angle1+angle2 = 22+44 = 66 = angle WXZ
Answer:
161cm2
Step-by-step explanation:
Area: 1/2 x base x height
1/2 x 14 x 23=161
Area is measured in cm2
Hope this helps!
