It's a parallelogram so if one angle is 90 degrees they all will be because of transverse angles and all that good stuff.
So we're given the diagonal of a rectangle and one side and we're asked to find the other. The diagonal of a rectangle is the hypotenuse of the right triangle whose legs are the sides of the rectangle. So this is a Pythagorean Theorem question in disguise:
Answer: 140 cm
I don't recall seeing this Pythagorean Triple before.
1)Parallel means they have to have the same slope. Since our equation is y=2/3x+1, a line parallel to that would be(using out points) -5=2/3(-4)+b.
To find the y-intercept, solve for "b".
b=-7/3
Our equation would then be y=2/3x-7/3
2)Perpendicular lines have opposite-reciprocal slopes. our previous equation was y=2/3x+1, so our new equation would be -5=-3/2(-4)+b. Now lets solve for b.
b=-11
So our perpendicular equation would be y=-3/2x-11
Hope that was helpful. :)
9514 1404 393
Answer:
Step-by-step explanation:
1) The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-3))/(3 -0) = 7/3
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2) The y-intercept is the point where x=0:
(x, y) = (0, -3) . . . . . y = -3
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3) Then the slope-intercept equation is ...
y = mx + b . . . . . . . line with slope m and y-intercept b
y = 7/3x -3
The area of one tile is 18 x 18 = 324 square inches.
Convert the dimensions of the room into inches:
5 ft 6 in. = 66 inches.
13 ft = 156 inches.
The area of the room is: 156 x 66 = 10296 square inches.
To find the number of tiles needed, divide the total area of the room by the area of one tile:
10,296 / 324 = 31.78, which means they will need 32 tiles.
Step-by-step explanation:
AB = 3
DB = 3 + 6 = 9
CD = 6
<em><u>hope </u></em><em><u>this </u></em><em><u>answer</u></em><em><u> </u></em><em><u>helps </u></em><em><u>you </u></em><em><u>dear.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>take </u></em><em><u>care!</u></em>
