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3 years ago

If JK LM , which statement is true ?

Mathematics

1 answer:

siniylev [52]3 years ago

6 0

The answer to this question would be: B. JK and LM meet at a right angle.

The reversed T symbol in this question means "perpendicular". That means the JK and LM line have 90-degree angle difference. A straight angle is 180 degree and right angle mean 90 degrees.
A perpendicular line should be in the same plane and intersect each other.

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Fill in the Table Below for the Corresponding x - valuesxy-2024

yaroslaw [1]

Here, to make your day a little better<3

7 0

2 years ago

Each square below represents one whole.<br> What percent is represented by the shaded area?<br> %

Fynjy0 [20]

Answer: 76%

Step-by-step explanation:

each sq represents whole 5*5 = 25 for the second = 25 , but - the shaded area to find the unshaded are 25 - 13 = 12 unshaded square

50 = 100 , 50 - 12 = 38 shaded area in total

38*100/50 = ur answer

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3 years ago

Which expression is equivalent to...? Screenshots attached, please help.

BaLLatris [955]

For this case we must simplify the following expression:

$\sqrt [3] {64 * a ^ 6 * b ^ 7 * c ^ 9}$

We rewrite:

$64 = 4 ^ 3\\a ^ 6 = (a ^ 2) ^ 3\\b ^ 6 * b = ((b ^ 2) ^ 3 * b)\\c ^ 9 = (c ^ 3) ^ 3$

So:

$\sqrt [3] {4 ^ 3 * (a ^ 2) ^ 3 * (b ^ 2) ^ 3 * b * (c ^ 3) ^ 3} =\\\sqrt [3] {4 * a ^ 2 * b ^ 2 * c ^ 3) ^ 3 * b} =$

By definition of properties of powers and roots we have:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

So:

$4a ^ 2b ^ 2 c ^ 3 \sqrt [3] {b}$

Answer:

Option B

3 0

3 years ago

Find the length of RA. A. 42 B. 84 C. 14 D. 7

fiasKO [112]

Answer:

$\large \boxed{\mathrm{B. \ 84}}$

Step-by-step explanation:

$LU$ bisects $RU$ and $UA$ .

$RU=UA$

$3m+21=6m$

Solve for m.

Subtract 3m from both sides.

$21=3m$

Divide both sides by 3.

$7=m$

Calculate $RA$ .

$RA=3m+21+6m$

$RA=9m+21$

Put m = 7.

$RA=9(7)+21$

$RA=63+21$

$RA=84$

3 0

3 years ago

Read 2 more answers

Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by

elena-14-01-66 [18.8K]

If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate $x^4$ .

We have

$\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h$

Expand the numerator using the binomial theorem, then simplify and compute the limit.

$\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}$

In general, the derivative of a power function $f(x) = x^n$ is $\frac{df}{dx} = nx^{n-1}$ . (This is the aptly-named "power rule" for differentiation.)

3 0

2 years ago