Answer:
length is 20 and width is 9
Step-by-step explanation
Answer: H' = (-4, 4)
<u>Step-by-step explanation:</u>
H = (-4, -4)
reflect across y = -2:
H is 2 units below y = -2 so when reflected it will be 2 units above y = -2
--> t<em>he x-coordinate doesn't change</em> the new y-coordinate is: 0
H' = (-4, 0)
reflect across y = 2:
H' is 2 units below y = 2 so when reflected it will be 2 units above y = 2
--> t<em>he x-coordinate doesn't change</em> the new y-coordinate is: 4
H'' = (-4, 4)
Answer:
see below
Step-by-step explanation:
1) 6(x + 1)+ 5 = 35
Distribute
6x+6 +5 = 35
Combine like terms
6x+11 =35
Subtract 11
6x+11-11=35-11
6x = 24
Divide by 6
6x/6 =24/6
x = 4
2) 0.7(x - 2) = 0.3
Distribute
.7x -1.4 = .3
Add 1.4 to each side
.7x-1.4+1.4 = .3+1.4
.7x = 1.7
Divide each side by .7
.7x/.7 = 1.7/.7
x = 17/7 = 2.482571429
3) 7(4x + 9) - 13 = 87
Distribute
28x +63 -13 = 87
Combine like terms
28x +50 = 87
Subtract 50 from each side
28x +50-50 =87-50
28x=37
Divide each side by 28
28x/28 = 37/28
x = 37/28 = 1 9/28
4) 0.25(3 - x) = 0.375
Distribute
.75 -.25x = .375
Subtract .75 from each side
.75-.75 -.25x = .375-.75
-.25x = -.375
Divide each side by -.25
-.25x/-.25 = -.375/-.25
x =1.5
The y intercept is found by putting x = 0 and calculating y, and vice versa.
y intercept:-
3(0) + 8y = 14 ; 8y =14; so y = 14/8 = 7/4
x intercept:-
3x + 8(0) = 14 ; 3x = 14; x = 14/3
True. To solve for y you have to subtract 2 from both sides of the equation.