B is the midpoint of ZA. find the length of ZA
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Highest common multiple of 8 and 14
In 1970, a bottle of dishwashing detergent cost $0.50. To answer each of the parts below, assume that the consumer price index (CPI) was 29.6 in 1960, 38.8 in 1970, and 82.4 in 1980.If the price of dishwashing detergent increased at the same rate as the CPI from 1970 to 1980, how much did a bottle of dishwashing detergent cost in 1980? By how much did the price of a bottle of dishwashing detergent increase from 1970 to 1980?
Mr. Wilk is a high school math teacher whose salaryis $33,660 for this school year, which has 180 days.In Mr. Wilk’s school district, substitute teachers are paid $85 per day. If Mr. Walker takes a day off without payand a substitute teacher is paid to teach his classes. How much less does the school district pay in salary by payinga substitute teacher instead of Mr. Wilk for this particukar day?
Briyana has $150, and she needs to save at least $560 for a spring break trip. If she can save $45 per week, how long will it take her to save enough money? Let w = weeks saving money. Write an inequality to describe the situation. 45w + 150< 560 45w + 150> 560 150w + 45< 560 150w + 45 > 560
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We want to use a coordinate plane to find the area of the given rectangle.
We will see that the area is 36 units squared.
So we only know the vertices of the rectangle, which are:
- (-4, 9)
- (-4, -3)
- (-1, -3)
- (-1, 9).
The first thing we can do, is graph these in a coordinate axis so we can see our rectangle.
Below you can see the graph of the rectangle where the four vertices are graphed and I drew the sides of the rectangle.
Now that it is graphed is easy to see the measures of each side, one side measures 3 units (from -1 to -4 on the x-value) and the other side measures 12 units (from -3 to 9 on the y-value)
Then the area of the rectangle is:
A = 3*12 = 36 square units.
If you want to learn more about rectangles and areas, you can read:
the formula for area of a rectangle is
Area = length x width
since both the length and the width of the rectangle lie on the same x and y axis, we can find the distance between the width and the distance between the length by subtracting
(-4,9) (-4,-3)
these points lie on the same x axis, so they create a vertical line
9-(-3) = 12
12 units is the distance between them
(-4,-3) (-1,-3)
these points lie on the same y axis, so they create a horizontal line
-1-(-4) = 3
3 units is the distance between them
now that we have the length and the width, we can find the area
A = 12 x 3
A = 36 units²
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for every x there is one y
(x,y)
if x repeats with a differnt y, it's not a function
we see
(2,3) and (2,4) and all of them
no, not a function
no, each ordered pair in this list has the same first element
answer is first one
|-9-7x|=|23-7x|.
Graph the solutions, if possible.
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Answer: No Solution
Step-by-step explanation:
When there are absolute values on both sides, you simply just get rid off the signs. (Normally, it results in positive and negative on the other side)
SOLVE:
Given
|-9-7x|=|23-7x|
No absolute value sign
-9-7x=23-7x
Add 7x on both sides
-9=23
ANSWER:
This is no solution, because -9≠23
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Answer:
6.40
Step-by-step explanation:
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There are 5π/3 radians in 300 degrees.
To convert degrees to radians, we can use the formula:
Radians = Degrees x (π / 180)
Given that we want to convert 300 degrees to radians, we can plug this value into the formula:
Radians = 300 x (π / 180)
Simplifying this expression, we get:
Radians = 5π/3
Therefore, there are 5π/3 radians in 300 degrees.
Learn more about radians here;
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