Which expression is equivalent to 3^4x3^-9

What is the formula that relates circumference and radius?

posledela

C=2•pi•r because C= pi•d and d=2•r

3 0

3 years ago

Read 2 more answers

Find the greatest common factor of the terms: 35a⁴b⁸, 49a²b⁵, 14ab⁴?

AleksandrR [38]

Answer:

7ab^4

Step-by-step explanation:

all of the coefficients have 7 as a GCF. for a and b you can only pull out as much as the lowest term.

that should be correct and hope this helps!

4 0

3 years ago

Choose the equation that represents the graph.

sveticcg [70]

Answer:

Answer: Option D

Step-by-step explanation:

Hey there!

From the above question;

The line passes through (-3,0) and (0,3).

Use double point formula;

$( y - y1) = \frac{(y2 - y1)}{(x2 - x1)} (x - x1)$

Keep all values;

$(y - 0) = \frac{(3 - 0)}{(0 - ( - 3))} (x + 3)$

Simplify it;

$y = \frac{3}{3} (x + 3)$

Therefore, y = x+3.

Hope it helps!

4 0

3 years ago

Jerome will also order t-shirt for the volunteer he will order both adults and child t-shirt . Adults t-shirt are $5 child t-shi

Gala2k [10]

Answer:

$A\geq 200...(1)$

$5A+2.50C\leq 1500...(2)$

Step-by-step explanation:

Let A represent number of adult t-shirts and C represent number of child t-shirts.

We have been given that adults t-shirt are $5 child t-shirt are $2.50, so cost of A adult t-shirts would be $5A$ and cost of C child t-shirts would be $2.50C$ .

We have been given that Jerome need at least 200 adults t-shirt. This means the number of adult t-shirts should be greater than on equal to 200.

We can represent this information in an inequality as:

$A\geq 200...(1)$

We are also told that Jerome will spend no more than $1500 on t-shirt. This means that cost of A adult t-shirts and C child t-shirts should be less than or equal to 1500.

We can represent this information in an inequality as:

$5A+2.50C\leq 1500...(2)$

Therefore, our required system of inequalities would be:

$A\geq 200...(1)$

$5A+2.50C\leq 1500...(2)$

3 0

3 years ago

Equation of the line (-6,5) and (8,14) in standard form

blsea [12.9K]

Answer:

$\huge\boxed{9x-14y=-70}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (-6, 5) and (8, 14).

Substitute:

$m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)$

Thew standard form of an equation of a line:

$Ax+By=C$

transform:

$y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70$

4 0

3 years ago

Which expression is equivalent to 3^4x3^-9​

Which expression is equivalent to 3^4x3^-9