Answer:
x^3 - x
Step-by-step explanation:
x(x^2 + x - 1) - x^2 =
= x^3 + x^2 - x - x^2
= x^3 - x
Step-by-step explanation:
We can prove that the triangles are congruent using the SAS method.
It's given that GH and JH are congruent (S)
Angle GHF and Angle IHJ are equal since they are vertically opposite (A)
It's given that FH and HI are congruent (S)
Thus, the triangles are congruent, which implies that the remaining sides are equal.
The coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).
Given that the end points of line segment are X(1,-2) and Y(10,3) and the ratio in which the line segment is being divided is 5:1.
Line segment is a collection of points which when together joined joins two points on a surface.
The coordinates of point dividing a line segment with end points
and ratio m:ncan be calculated using the below given formula:
(X,Y)=
.
We have to just put the values in the above formula to get the coordinates.
(X,Y)=(5*10+1*1/5+1,5*3-2*1/5+1)
=(50+1/6,15-2/6)
=(51/6,13/6)
=(17/2,13/6)
Hence the coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).
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Answer:
a. .15 b. 5.40
Step-by-step explanation:
Hi! The first thing you want to do is find the unit rate, which would be 9 divided by 60. This should be 15 cents per hour. Next, for the second part, you multiply by 36, which should be $5.40. Hope this helps!
Answer:
The dimensions are <u>15 x 6</u>
Step-by-step explanation:
Length (L) Width (W)
Perimeter = (W x 2) + (L x 2)
L = (W x 2) + 3
L x 2 = (W x 4) + 6
42 - 6 = 36
36 ÷ 6 = 6
6 x 2 + 3 = 15
<u>Perimeter = (6 x 2) + (15 x 2) = 42</u>