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2 years ago

How do you write ababaabaa in exponential form?

Mathematics

1 answer:

NISA [10]2 years ago

6 0

Answer:

$\huge\boxed{a^6b^3}$

Step-by-step explanation:

Because every term here is multiplied, simply count the number of 'a's and 'b's.

Hope it helps :) and let me know if you want me to elaborate.

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A regular pyramid has a square base with sides of length 1. The four triangular faces are isosceles triangles whose equal sides

lawyer [7]

Answer:

jiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

5 0

3 years ago

Solve the following system of equations by substitution. Show all steps.

Alinara [238K]

Answer:

Given system of equations:

$\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}$

To solve by substitution, equate the equations and solve for x:

$\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}$

Therefore, the x-values of the solution are $x = 0$ and $x = 4$ .

To find the y-values of the solution, substitute the found values of x into the functions:

$f(0)=-(0)^2+2(0)+3=3$

$g(0)=-2(0)+3=3$

$f(4)=-(4)^2+2(4)+3=-5$

$g(4)=-2(4)+3=-5$

Therefore, the solutions to the given system of equations are:

$(0, 3)$ and $(4, -5)$

4 0

2 years ago

What is the slope of a line that is perpendicular to y=1/2x+9 that passes through (-7,-4)

Artist 52 [7]

Hi there!

To find the perpendicular slope you need to flip the fraction and change the sign. So 1/2=2/1 and tge original slope was positive, so the slope is -2. Now you sub in the point (-7,-4) in for x and y in the formula y=mx+b and solve for b (sub in 2 for m as well)
Y=mx+b
-4=-2*-7+b
-4=14+b
-4-14=b
B=-18
The equation is y=-2x-18

Hope this helps!

6 0

3 years ago

Each week Charlene uses 3/4 of a bag of cat food to feed her cats. She has 112 bags of cat food in stock. How long will her stoc

inessss [21]

The stock of cat food will last for 149 weeks.

Step-by-step explanation:

Given,

Bags of cat food in stock = 112

Bags used each week = $\frac{3}{4}\ of\ one\ bag$