Answer:
Here you go! I hope this helps
a) (6(3))+4-(3(7))
answer: 1
b) 4(7-3)2+1 =
answer: 33
c) 7^2+5(3)−6
answer: 58
-4x + 7y = 9 ⇒ -4x + 7y = 9 ⇒ 8x - 14y = -18
2y = -5x - 22 ⇒ -5x - 2y = 22 ⇒ <u>-35x - 14y = 154</u>
<u>43x</u> = <u>-172</u>
43 43
x = -4
-4x + 7y = 9
-4(-4) + 7y = 9
16 + 7y = 9
<u>- 16 - 16</u>
<u>7y</u> = <u>-7</u>
7 7
y = -1
(x, y) = (-4, -1)
-- Look at the places where the line crosses the 'x' axis and the 'y' axis.
Between those two points, it goes forward 2 units, but only rises 1 unit.
So the slope of the line is 1/2 .
-- Look again at the point where the line crosses the y-axis.
At that point, y=1 .
That's the "y-intercept".
Now you have the slope and y-intercept of the line.
The equation of ANY straight line is
y = (slope)x + (y-intercept) .
You know what they both are, so you can easily write
y = 1/2 x + 1 .
Is that one of the choices ?
Yes it is.
Good enough for me.
That must be the correct one.
With no "blah blah blah" required.
Area of kite is equal to 1/2 the product of the lengths of the diagonals
so
A=1/2(AD)(BF)
BF=BG+GF=8+8=18
AD=AG+GD=7+13.5=20.5
A=1/2(20.5)(18)=(8)(20.5)=164
now minus the area of the square
area of square=side^2=(CE)^2=9^2=81
kite-square=164-81=83 square meters
