Answer:
Step-by-step explanation:
Givens
(x - 1)(6x - 5) = 0
Solution
Either one of these can be made into 0 by solving the binomials in the brackets.
x - 2 = 0 Add 2 to both sides
x -2 +2= 0+2 Combine
x = 2
6x - 5 = 0 Add 5
6x -5+5 = 0+5 Combine
6x = 5 Divide by 6
6x/6=5/6
x = 5/6
Answer
Integer Answer: x = 2
Fractional Answer x = 5/6
Answer:
x≤50
Step-by-step explanation:
100-3x≥-50
subtracting 100 at both side on inequality
-100+100-3x≥--50-100
-3x≥-150
Dividing both sides by 3
-3x/3≥-150/3
-x≥--50
Adding 50 on both sides
-x+50≥-50+50
-x+50≥0
Adding x on both sides
-x+x+50≥0+x
50≥x
so,
x≤50
Answer:
80
Step-by-step explanation:
The "difference" means the answer using subtraction. Subtract -60 from 20 to find the different between the two numbers.
20 - (-60) When you have two minus signs, it become a plus sign.
= 20 + 60 Add
= 80 Difference between the numbers
Could you do it backwards? Subtract 20 from -60? Yes, but since the difference between two numbers will always be a <u>positive number</u>, you need to use absolute value symbols.
| -60 - 20 | Do -60 -20 first
= | -80 | Apply the absolute value of -80 (make the number positive)
= 80 Difference between the numbers
You do not have to put absolute value if you do 20 - (-60), but you can. For -60 -20, you must use them.
Therefore, the difference between 20 and -60 is 80.
SOLUTION
We want to find the area of the circle in the picture given.
We have been given the formula as
From the circle, the radius r = 11 in.
The area of the circle becomes
Hence the answer is 363 square-inches
Answer:
m∠YWZ=36°
Step-by-step explanation:
Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (WX and WZ) form a single straight line through the common endpoint W.
If rays WX and WZ are opposite, then angle XWZ is straight angle. A straight angle always has the measure of 180°.
Point Y is in the interior of ∠XWZ, then angles XWY and EWZ are supplementary angles (together form straight angle XWZ). Supplementary angles always add up to 180°, then
m∠XWY+m∠YWZ=180°
You are given that
m∠XWY=4(m∠YWZ).
Substitute it into the previous equality:
4(m∠YWZ)+m\angle YWZ=180°
5(m∠YWZ)=180°
m∠YWZ=36°
