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2 years ago

Evaluate the expression when a=4 and x=-4. -9a + x

Mathematics

1 answer:

svetlana [45]2 years ago

3 0

Answer:

- 40

Step-by-step explanation:

When a = 4, and x = -4:

Evaluating algebraic expressions simply involve substituting the given values for <em>a</em> and<em> x</em> into the expression, -9a + x.

Hence, -9a + x = -9(4) + (-4) = -36 - 4 = -40

Therefore, the correct answer is -40.

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3 years ago

The hypotenuse of a right triangle measures 16 cm and one of its legs measures 9 cm. Find the measure of the other leg. If neces

Vesnalui [34]

$\sf\huge\underline{\star Solution:-}$

<h3><u>Given that</u>:</h3>

Hypotenuse of a right triangle = $\sf\blue{16cm.}$
One side (leg) = $\sf\blue{9cm.}$

Measure of another side(leg).

<h3><u>Solution</u>:-</h3>

$\rightarrow$ As we know that,

$\sf{A^2 +B^2 \:=\: C^2}$ (Pythagoras Theorem)

So, using this formula we can find measure of another side(leg).

$\rightarrow$ $\sf{A^2 +B^2 \:=\: C^2}$ (putting the value of both given side of triangle)

Here I am putting the value of hypotenuse in C because it is the longest side of triangle.

$\rightarrow$ $\sf{9^2 +B^2 \:=\: 16^2}$

$\rightarrow$ $\sf{81 +B^2 \:=\: 256}$

$\rightarrow$ $\sf{B^2 \:=\: 256-81}$

$\rightarrow$ $\sf{B^2 \:=\: 175}$

$\rightarrow$ $\sf{B \:=\: \sqrt{175}}$

$\rightarrow$ $\sf{B\:=\: 13.22(approx)}$

Therefore, measure of another side (leg) of the triangle = $\sf\purple{ 13.22(approx).}$

____________________________________

Hope it helps you:)

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3 years ago

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