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2 years ago

7

2. What is the radius of a circle with a diameter of 36 inches?

1 answer:

allochka39001 [22]2 years ago

4 0

Answer:72

Step-by-step explanation:

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2.Solve the following quadratic equations<br> i. 9x^2 - 1/16<br> ii. 2h^2 - 3h - 27

Juli2301 [7.4K]

$i)~9x^2-\dfrac{1}{16}=0\iff9x^2=\dfrac{1}{16}\iff x^2=\dfrac{1}{9\cdot16}\iff \\\\x^2=\dfrac{1}{144}\iff x=\pm\sqrt{\dfrac{1}{144}}=\pm\dfrac{1}{12}\Longrightarrow\boxed{x=\pm\dfrac{1}{12}}$

$ii)~2h^2-3h-27=0\\\\\Delta=b^2-4ac\to \Delta=(-3)^2-4\cdot2\cdot(-27)\to\Delta=9+216=225\\\\
\Longrightarrow h=\dfrac{-b\pm\sqrt{\Delta}}{2a}=\dfrac{-(-3)\pm\sqrt{225}}{2\cdot2}=\dfrac{3\pm15}{4}\\\\\begin{cases}h_1=\dfrac{3+15}{4}=\dfrac{18}{4}\iff \boxed{h_1=\dfrac{9}{2}}\\h_2=\dfrac{3-15}{4}=\dfrac{-12}{4}\iff\boxed{h_2=-3}\end{cases}$

4 0

2 years ago

Software - Infinite Algebra 2 Absolute Value Inequalities Solve each inequality and graph its solution. Name Sarmant Date 3/8/20

gulaghasi [49]

$|6+9x|\le24$

this is the correct way to solve these types of exercises

then we will try to do the same where a is (6+9x) and b is 24

$|6+9x|\le24\longrightarrow-24\le6+9x\le24$

and solve the right inequality for x

$-24\le6+9x\le24$

subtract 6 for all expression

$\begin{gathered} -24-6\le6-6+9x\le24-6 \\ -30\le9x\le18 \end{gathered}$

now divide on 9

$\begin{gathered} -\frac{30}{9}\le\frac{9x}{9}\le\frac{18}{9} \\ \\ -\frac{10}{3}\le x\le2 \end{gathered}$

ok, this means that the x values will be from -10/3 to 2 including these

Graph

solution is the red zone

6 0

7 months ago

Rewrite 1/5 as a percent

il63 [147K]

Answer:

20%

Step-by-step explanation:

1/5 as a percent is 20%

The 1 in 1/5 is equal to 10.

The 5 in 1/5 is equal to 50.

Therefore you would multiply 50 x 2 to get 100.

Then, you would multiply 10 x 2 to get 20/100 or 20%

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1350mm convert to inches

Alona [7]

1350 millimeters is equivalent to approximately 53.15 inches

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3 years ago

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What is 332,409 written in word form?

Diano4ka-milaya [45]

three hundred thirty-two thousand, four hundred nine.

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