Answer:
Step-by-step explanation:
Like your other question, let's break it down systematically
6x + 9y - 9(6x - 3y + 8z)
Use the distributive property
6x + 9y - <u>9(6x - 3y + 8z)</u>
6x + 9y - 54x - 27y + 72z
Match like terms
6x - 54x = -48x
9y - 27y = -18y
72z - 48x - 18y
Answer:
y=2x-2
Step-by-step explanation:
<em>the slope is y/x</em>
the slope is 2 or 2/1
<em>subtract 2 from the y value and 1 from the x value</em>
(3-1,4-2) = (2,2)
<em>keep doing this until you get a 0 in the x value</em>
(2-1,2-2) = (1,0)
<em>1 is your x-intercept</em>
(1-1,0-2) = (0,-2)
-2 is your y intercept.
So now you know your y-intercept and your slope so you can now write your equation.
<em>y=mx+b</em>
<em>m=slope, b=y-intercept</em>
m=2, b=-2
<em>substitute into the equation</em>
y=2x-2
Answer:
25
Step-by-step explanation:
The formula for the Pythagorean Theorem is:
Now,
A=7
B=24
7x7=49
24x24=576
Add,
576+49=625
Last,
Take the square root of 625
The square root of 625 is 25
c=25
To Check if the hypotenuse is correct:
7x7=49
24x24=576
25x25=625
49+576=625
625=625,
Therefore the hypotenuse is 25.
Answer:
x=1/2
Step-by-step explanation:
-5(x - 4) + 6 = 5(3x+4) -4
WE APPLY DISTRIBUTIVE PROPERTY:
-5*x +5*4 + 6 = 5*3x +5*4 -4
-5x + 26 = 15x +20 -4
26 +4 -20=15x+5x
10=20x
x= 10/20
we have:
x=1/2
Answer:
1. area = 1/2bh = (1/2)(21)(18) = 189 yd²
2. 3x2x3x2 = 36 different ways
3. area of kite = (1/2)(18)(24) = 216 units²
4. 8:52 or reduced, 2:13
5. Sorry, this is not my strong point
Step-by-step explanation:
