What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation?
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The equation of the line is C. y = -(4/3)x + 22 passes through the point (6,14) and is parallel to the line y = -(4/3)x - 1.
What are lines and their slopes?
We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
We know lines parallel to each other have the same slope.
Given line is y = -(4/3)x - 1.
So, it's either option C Or option D.
The line that passes through the point (6, 14).
∴ 14 = -(4/3).6 + b.
14 = - 8 + b.
b = 22.
y = -(4/3)x + 22 is the parallel line that passes through the point (6, 14)
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C
For it to be parallel, it needs to have the same slope (-4/3) and then you can’t have it be at six or else it would be a straight line
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Answer: 45%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to write 9/20 as a percent, we will need to find a fraction equivalent to 9/20 that has a 100 in the denominator. We can do this by setting up a proportion.
=
Now, we can use cross products to find the missing value.
900 = 20n
÷20 ÷20 ← divide by 20 on both sides
45 = n
Therefore, 9/20 is equal to 45 over 100 or 45%.
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Answer: 0.45
Step-by-step explanation: In order to write 9/20 as a decimal, we need to find a fraction equivalent to 9/20 with a 100 in the denominator. Notice that if we multiply both the numerator of 9/20 by 5, we get the equivalent fraction 45/100 which we can now write as a decimal. Remember that the hundredths place is two places to the right of the decimal point. So, we can write 45/100 as 0.45.
Therefore, 9/20 is equivalent to 0.45.
The required, 9/20 as a decimal is 0.45, and as a percentage is 45%.
Decimals and percentages are both ways to express numbers that are less than or equal to 1. Decimals are a way to represent numbers using the base-10 numbering system. Percentages, on the other hand, are a way to express a portion of a whole as a fraction of 100.
To convert 9/20 to a decimal, divide the numerator (9) by the denominator (20).
9 ÷ 20 = 0.45
So, 9/20 as a decimal is 0.45.
To convert 0.45 to a percentage, multiply it by 100.
0.45 x 100 = 45
So, 9/20 as a percentage is 45%.
In summary, 9/20 as a decimal is 0.45, and as a percentage is 45%.
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1/11 is not equal to 1/10. Although they have the same numerator or number on top, 1, they don't have the same number in the bottom.
So they are not equivalent.
Hope this helps.
3/33 equals 1/11 and 1/11 is smaller than 1/10. so they are not equal.
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to help you, turn it into a fraction, 2 punds ove 2.50 equals 3 pounds over X
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1) / divide 195 by 18 to get 10.833.
/ to get the whole number, round up to get '11'.
11 cartons
Lesson 2.8:
3)
5) 6,681 ÷ 53 = 126 with a remainder of 3
Lesson 2.9:
1) / let 'x' equal the inches of snow that reidville gets
/ '12x' equal the inches of snow that greenboro gets
/ you should set up the problem like:
/ add 'x + 12x' to get '13x'.
/ divide both sides by '13'.
/ 5 goes into 13 to get 65. simplify the fraction to '5'.
/ x = 5
Reidville gets 5 inches of snow
2) / let 'x' equal the miles ansley ran in one month
/ you should set up the problem like:
/ add '15x + x' to get '16x'
/ divide both sides by '16'
/ 12 goes into 16 to get 192. simplify the fraction to 12.
/ x = 12
Ansley runs 180 miles (Zack only runs 12)