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3 years ago

Which expression is equivalent to t2 – 36?

Mathematics

1 answer:

defon3 years ago

6 0

Answer:

(t + 6)(t - 6)

Step-by-step explanation:

(t - 6)(t + 6)

(t . t) + (t . (6) + ((-6) . t) + ((-6) . 6)

= t² - 6t + 6t - 36

= t² - 36

so,

t² - 36 = (t + 6)(t - 6)

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What does x equal (x/4)+12=38

user100 [1]

$\frac{x}{4} +12=38\\\\ \frac{x}{4}=26\\\\x=104$

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3 years ago

Read 2 more answers

Help with matrices please? Any wrong/not applicable answers will be reported and BLOCKED

marin [14]

m x H = $\left[\begin{array}{ccc}-25&37.5&-12.5\\\9\end{array}\right]$

Step-by-step explanation:

Step 1; Multiply 5 with this matrix $\left[\begin{array}{ccc}-1&2\\4&8\\\end{array}\right]$ and we get a matrix $\left[\begin{array}{ccc}-5&10\\20&40\\\end{array}\right]$

Multiply the fraction $\frac{2}{5}$ with the matrix $\left[\begin{array}{ccc}-1&2\\4&8\\\end{array}\right]$ and we get $\left[\begin{array}{ccc}-\frac{2m}{5} &\frac{4m}{5} \\\frac{8m}{5} &\frac{16m}{5} \\\end{array}\right]$

Step2; Now equate corresponding values of the matrices with each other.

-5 = $\frac{-2m}{5}$ and so on. By equating we get the value of m as $\frac{25}{2}$

Step 3; Add the matrices to get the value of matrix m.

Adding the three matrices on the RHS we get $\left[\begin{array}{ccc}2&9&-9\\\end{array}\right]$ .

Step 4; Adding the matrices on the LHS we get the resulting matrix as H +

$\left[\begin{array}{ccc}4&6&-8\\\9\end{array}\right]$ . Equating the matrices from step 3 and 4 we get the value of H as $\left[\begin{array}{ccc}-2&3&-1\\\9\end{array}\right]$

Step 5; Now to find the value of m x H we need to multiply the value of $\frac{25}{2}$ with the matrix $\left[\begin{array}{ccc}-2&3&-1\\\9\end{array}\right]$

Step 6; Multiplying we get the matrix m x H = [ -25 $\frac{75}{2}$ $\frac{-25}{2}$ ]

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3 years ago

How to find the value of x in an exponential function?

aleksklad [387]

YOU CAN DO Y=MX+B AND YOU WILL FIND YOUR ANSWER

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3 years ago

How many flowers, spaced every 6 in., are needed to surround a circular garden with a 100-ft radius?

Bond [772]

Answer:

Number of flowers required = 1256

Step-by-step explanation:

Circumference of a circle is given by the formula,

Circumference = 2πr

Here, r = radius of the circle

For a circle with radius = 100 in.

Therefore, circumference = 2π(100)

= 200π

= 628.32 ft

Distance between each flower = 6 in

≈ $\frac{6}{12}$

= 0.5 ft

Number of flowers = $\frac{\text{Circumference}}{\text{Space between each flower}}$

= $\frac{628.32}{0.5}$

= 1256.63

≈ 1256

Therefore, number of flowers required = 1256

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3 years ago

On a True/False test, Amy answered the first three questions wrong but answered the rest of the questions correctly. On the same

borishaifa [10]

Answer:

89.29%

Step-by-step explanation:

Given that Scott answered exactly two questions wrong. He answered the last question wrong, the 26 questions before it correctly, and the question before that wrong. Since Amy and Scott were both incorrect on the same question exactly once, Scott would have done wrong only in I or II or III question. If I question was wrong by both, total questions = 28, if II wrong total questions =29 and for iii total questions =30

Greatest possible percent would occur if total questions are less

i.e. when total =28

Greatest percent = $\frac{28-3}{28} =89.29%$

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3 years ago