when you multiply exponents, they add together and the base will remain the same:
-5+-2
=-7
therefore the answer is 8^-7
to get rid of the negative, flip the fraction so it becomes
1/8^7
Answer:
242cm^2
Step-by-step explanation:
The formula for surface area of a rectangular(assuming that's what you have) is Perimeter of the Base(height) + 2(Area of the Base)
Or you could add up all the sides, or use this formula
SA=2(length*width)+2(length*height)+2(height*width)
2×(10×7 + 10×3 + 7×3)
helpful links:
https://www.khanacademy.org/math/ basic-geo/basic-geo-volume-sa/basic-geometry-surface-area/v/surface-area-of-a-box
http://www.math.com/tables/geometry/surfareas.htm
https://www.basic-mathematics.com/surface-area-formula.html
ANSWER
450lb
EXPLANATION
If the weight, m of an object on the moon varies directly as the weight of an object e, on the earth, then we can write the mathematical statement,.

We introduce the constant of proportionality to obtain,

When, m=95, e=570,
This implies that,



The equation now becomes,

We want to find e, when m=2700,

Answer:
63,590.4
Step-by-step explanation:
8<8<18=1,152x 9216x = 63,590.4
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h. k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 6, - 1), thus
y = a(x + 6)² - 1
To find a substitute one of the roots into the equation
Using (- 3, 0), then
0 = a(- 3 +6)² - 1
0 = 9a - 1 ( add 1 to both sides )
1 = 9a ( divide both sides by 9 )
a =
, thus
y =
(x + 6)² - 1 ← in vertex form
Expand factor and simplify
y =
(x² + 12x + 36) - 1 ← distribute
y =
x² +
x + 4 - 1
=
x² +
x + 3 ← in standard form