All categories

3 years ago

Click the image please...

Mathematics

1 answer:

dexar [7]3 years ago

8 0

Answer:

$9^{-7}, 9^{-2}$

Step-by-step explanation:

$\frac{9^5\times9^{-9}}{9^3}\\\frac{9^{-4}}{9^3}\\ 9^{-7}$

When you multiply like terms, you add their powers. When dividing like terms, you subtract their powers (subtract the power in the denominator from the one in the numerator).

$(9^4)^3\times9^{-14}\\9^{12}\times9^{-14}\\9^{-2}$

You might be interested in

Write an equation of the line that passes through the given point and is parallel to the graph of the given equation.

True [87]

Question 1:

--------------------------------------------------------------------
Find Slope
--------------------------------------------------------------------
Equation: y = 5x - 2
Slope = 5
Slope of parallel line = 5

--------------------------------------------------------------------
Insert slope into the general equation y = mx + c
--------------------------------------------------------------------
y = 5x + c

--------------------------------------------------------------------
Find y-intercept
--------------------------------------------------------------------
At point (2, -1)
y = 5x + c
-1 = 5(2) + c
c = -1 - 10
c = -11

--------------------------------------------------------------------
Insert y-intercept into the equation
--------------------------------------------------------------------
y = 5x + c
y = 5x - 11

--------------------------------------------------------------------
Answer: y = 5x - 11
--------------------------------------------------------------------

Question 2:

--------------------------------------------------------------------
Find Slope
--------------------------------------------------------------------
y = 9x
Slope = 9
Slope of the parallel line = 9

--------------------------------------------------------------------
Insert slope into the equation y = mx + c
--------------------------------------------------------------------
y = 9x + c

--------------------------------------------------------------------
Find y-intercept
--------------------------------------------------------------------
y = 9x + c
At point (0, 5)
5 = 9(0) + c
c = 5

--------------------------------------------------------------------
Insert y-intercept into the equation
--------------------------------------------------------------------
y = 9x + c
y = 9x + 5

--------------------------------------------------------------------
Answer: y = 9x + 5
--------------------------------------------------------------------

7 0

2 years ago

Mrs Andrew's pays $125. For a hair cut. If she gives a 25% tip, how much will she pay

belka [17]

Answer:

$156.25

Step-by-step explanation:

25% of 125 is 31.25. So 125+31.25 is 156.25.

4 0

2 years ago

Possible solution for 4+x+2-2x=5

MrRissso [65]

Answer:

x=1

Step-by-step explanation:

For algebra always start by rewriting it.

4+x+2-2x=5

Then ask yourself is there any like terms we can combine, and here yes there is. 4 and 2 and x and -2x. Now lets combine them and rewrite.

6-x=5

Now lets get x alone and the quickest way is to subtract 6 to the other side

6-x=5

-6 -6

-x=-1

Now the two negatives cancel out as you would divide both sides by the coefficient -1 to get positive x alone. We can make this easier by just canceling out the negatives.

Your answer is

x=1

3 0

3 years ago

Line ET is tangent to circle A at point T and the measure of angle TNG is 35.

STALIN [3.7K]

ET is tangent to circle A so ET is perpendicular to AT

So <ATE = 90°

Given <TNG = 35°

<NET = <ATE - <TNG

= 90° - 35°

= 55°

Answer is 55°

8 0

2 years ago

Could someone help me please ? :)

Degger [83]

ANSWER = 17.5% of 360 = 63

EXPLANATION:

Find 10% of 360 = 36

Then 5% of 360 = 18

Then 2.5% of 360 = 9

Add them together

so 17.5% of 360 = 63

8 0

2 years ago