Even though we don't know the number yet, we need to give it some kind of label
so that we can work with it. We can call it anything. I'd like to call it ' G '.
The number we're looking for is ' G '.
Half of it is 1/2 G
The sum of that and 6 is 1/2 G + 6
Ten times that is 10 (1/2 G + 6)
The question says that's 8.
So 10 (1/2 G + 6) = 8
Divide each side by 10 : 1/2 G + 6 = 0.8
Subtract 6 from each side: 1/2 G = - 5.2
Multiply each side by 2 : G = - 10.4
That seems like a weird answer. We should check it.
The number: -10.4
Half the number: - 5.2
The sum of half the number and 6: -5.2 + 6 = +0.8
Ten times that sum: 8
Yep ! By golly, sho nuff, dV-dT and E to the X !
Everything checks out, and the mystery number is - 10.4
Answer:
c
Step-by-step explanation:
3⁶ * 4² * 12 = 3⁶ * 4² * 4*3 = 3⁷ * 4³
3³ * 4 * 5
GCF= 3³ * 4
Only common factor with minimum power
Answer:
D. 
Step-by-step explanation:
Area of rectangle = 
Length of rectangle = (x - 8)
Width = (x + 11)
Area of rectangle = 
Expand the expression
(distributive property of multiplication)
Combine like terms
Expression for the area of the rectangle =
The pythagorean theorem states that the sum of the squares of two legs of a right triangle is equivalent to the hypotenuse.
So:
35^2 + b^2 = 40^2
1225 + b^2 = 1600
b^2 = 375
b = 
b = 19.3649
<u>The missing side's length rounded to the nearest tenth is Option C, 19.4</u>
Answer:
C. It would be shifted up.
Step-by-step explanation:
We base it off the y-intercept. Since -7 is <em>less</em><em> </em><em>than</em><em> </em>1, and our new function has a positive y-intercept, it would indeed be shifted up.
I am joyous to assist you anytime.
