To multiply exponents with like bases, simply add the exponents...
3^-3 × 3^4 × 3 × 3^-5 =
add exponents across, remember just 3 means 3^1.
-3 + 4 + 1 + -5 = -3
answer is 3^-3
Answer:
The equation is 4 1/3(2/5+1)
Step-by-step explanation:
So, it's 4 1/3+1 11/15=
65/15+26/15=91/15
6 1/15
2/5x4 1/3
Which is 2/5 x 13/3
Which is 26/15
Which is 1 11/5
Answer:
-8/7 =x
Step-by-step explanation:
-2 x+1
----- = -----------
12 x+2
Using cross products
-2 (x+2) = 12 (x+1)
Distribute
-2x -4 = 12x+12
Add 2x to each side
-2x+2x -4 = 12x+2x+12
-4 = 14x +12
Subtract 12 from each side
-4-12 = 14x
-16 = 14x
Divide each side by 14
-16/14 =14x/14
-8/7 =x
<u>Ratio of two angles are 6:13.</u>
So, let the one angle be 
and another be 
As we know that,
Sum of all interior angles of a quadrilateral = 
So let's sum up the given angles,
Hence,
So, First angle 
Second angle 
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Hope it helps you:)
Answer:
True
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) = (- 4, - 9), thus
y = a(x + 4)² - 9
To find a substitute the coordinates of the zero (- 7, 0) into the equation.
0 = a(- 7 + 4)² - 9, that is
0 = 9a - 9 ( add 9 to both sides )
9a = 9 ( divide both sides by 9 )
a = 1, thus
y = (x + 4)² - 9 ← expand factor using FOIL
y = x² + 8x + 16 - 9
y = x² + 8x + 7
