Point M is 5 units to the left of the origin and 6 units down.What are the coordinates of point M?

Answers

Answer 1

Answer: (-5,-6) are the new coordinates of point M

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0.45833333333 as a fraction
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Use the system of equations. Please show your steps and how you solved it!3x+3y=15
3x=6y=-12

Please Help!

Answers

1. 3x+3y=15
-3y = -3y (subtract 3y from both sides)
3x = 15-3y
----------------------
3 = 3 3 (divide each number by 3)
x = 5- y

(343×7^2×100)÷(10^3×7^2×3^3)=

Answers

Step-by-step explanation:

$(343 * {7}^(2) * 100) / ( {10}^(3) * {7}^(2) * {3}^(3) ) \n \n = ( {7}^(3) * {7}^(2) * {10}^(2) ) / ( {10}^(3) * {7}^(2) * {3}^(3) ) \n \n = ( {7}^(3 + 2) * {10}^(2) ) / ( {10}^(3) * {7}^(2) * {3}^(3) ) \n \n = ( {7}^(5) * {10}^(2) ) / ( {10}^(3) * {7}^(2) * {3}^(3) ) \n \n = \frac{{7}^(5) * {10}^(2) }{{10}^(3) * {7}^(2) * {3}^(3) } \n \n = \frac{ {7}^(3) }{10 * {3}^(3) } \n \n = (343)/(270) \n$

Write each decimal in words 0.214

Answers

Two hundred fourteen thousandths ( Don't add the "and" between hundred and fourteen because they will think the number 0.214 is actually written like 200.14)

Write an equation of the line that is:a) parallel to the line y=4x+1, and that passes through point (2,3)
b) parallel to the line 2y-6x=9, and that passes through point (-2,1)
c) parallel to the line y=4x+3, and that has the same y-intercept as the line y=5x-3
d) parallel to the line -1/2x, and that has the same y-intercept as the line 2y=7x+6
e) perpendiclar to the line 2y-4x=8, and that passes through point (6,-6)
f) perpendicular to the line 2y-5x=15, and has an x-intercept of 3

please help me with all the questions it would mean alot

Answers

$a)\ny=4x+1\na=4\nnew\ y=bx+c\nif\ parallel a=b\ny=4x+c\nsubstituting\point\ (2,3)\n3=4*2+c\nc=-5\ny=4x-5\nb)\n2y-6x=9\n2y=6x+9\ny=3x+4,5\na=3\nnew\ y=bx+c\nif\ parallel a=b\ny=3x+c\nsubstituting\ point\ (-2,1)\n1=4*(-2)+c\nc=9\ny=3x+9\n c)\ny=4x+3\na=4\nnew\ y=bx+c\nif\ parallel a=b\ny=4x+c\nc=-3\ny=4x-3\ne)\n2y-4x=8\n2y=4x+8\ny=2x+4\na= 2 \nnew\y=bx+c\nif\ perpendicular b=-1/a\ny=- (1)/(2) x+c\npoint(6,-6)\n-6=-1/2*6+c\nc=-3\ny=-1/2x-3\nf)\n2y-5x=15\n2y=5x+15\ny=(5)/(2)x+(15)/(2)$

Jorge plans to paint a bedroom wall that is shaped like a trapezoid. The bottom edge of the wall is 22.5 feet long, and the top edge of the wall is 9.5 feet long. If the wall is 8 feet tall, what is the area of the wall?

Answers

Length of the bottom edge of the wall (a) = 22.5 feet
Length of the top edge of the wall (b) = 9.5 feet
Height of the wall (h) = 8 feet
Then
Area of the wall = [(a + b)/2] * h
      = [ (22.5 + 9.5)/2] * 8 square feet
   = (32/2) * 8 square feet
   = 16 * 8 square feet
   = 128 square feet
As can be seen from the above deduction, the area of the wall is 128 square feet. I hope the procedure is not complicated for you to understand. You can normally use this method in future for solving similar type of problems without requiring any additional help.

Charles reads quickly he reads 1 3/7 pages every 2/3 of a minute. how many pages does he read per minute?

Answers

First, I'd suggest finding a common denominator for your two fractions. Since 7 and 3 both go into 21, let's use that.

2/3 becomes 14/21, because 3 x 7 = 21, and 2 x 7 = 14
1 3/7 becomes 1 9/21, because 7 x 3 = 21, and 3 x 3 = 9

Now, to make the rest of it a bit easier, let's turn the fractions into decimals.

14/21 is 0.66
1 9/21 is 1.43

We can then turn this into a ratio, and then write an equation to solve for how many pages Charles reads per minute.

1.43 pages per 0.66 minutes, or 1.43/0.66

The equation to solve for this would then be
$(1.43)/(0.66) = (p)/(1)$
where p is the number of pages.

To solve for p, we simply cross multiply and divide.
1.43 x 1 = 0.66 x p
1.43 = 0.66 x p
1.43 ÷ 0.66 = p
p = 2.17

Charles reads 2.17 pages per minute.

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Why will the percent of change always be represented by a positive numberplease make a simple answer Thankyou