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3 years ago

What is the value of X ?

Mathematics

2 answers:

s2008m [1.1K]3 years ago

8 0

$x^2+12^2=13^2\\\\ x^2+144=169 \ |-144 \\\\ x^2=25 \\\\ x=\sqrt{25} \\\\ x=5$
or
$x^2+12^2=13^2\\\\ x=\sqrt{13^2-12^2}=\sqrt{25}=5$

Rainbow [258]3 years ago

7 0

X = 5. Using the pythagreom theorem, a²+b²=c², to solve x we put in the numbers into the equation getting a²+12²=13². Then solve for a. a²=25, 5·5=25, a=5 which means x=5.

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What is the solution to the inequality below?

madam [21]

Answer:

C. x < 25 and x ≥ 0

Step-by-step explanation:

Fastest and easiest way to do this is to graph the inequality and find out the lines.

8 0

3 years ago

Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is

Mamont248 [21]

Answer:

1)The rocket hit the ground at $x = \frac{5}{4}$

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

Step(i):-

Given equation

y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = -2( 2x) +5(1) = -4x +5$

Equating zero

$\frac{dy}{dx} = 0$

⇒ -4 x +5 =0

⇒ -4 x = -5

⇒ $x = \frac{5}{4}$

The rocket hit the ground at $x = \frac{5}{4}$

Step(ii):-

$\frac{dy}{dx} = -4x +5$ ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

$\frac{d^{2} y}{dx^{2} } = - 4(1)$

The maximum height at x = $\frac{-5}{4}$

y = -2 x² + 5 x + 7

$y = -2 (\frac{5}{4})^{2} + 5 (\frac{5}{4} ) + 7$

$y = \frac{-2(25)+ 25 (16)+7(64)}{64}$

$y = \frac{798}{64} = 12.468 feet$

The maximum height of the rocket = 12.468 feet

4 0

3 years ago

Find the value of x,

Gekata [30.6K]

Answer: x = -7

Concept:

From the given graph, we can see that it is an isosceles triangle since the two base angles are congruent.

In geometry, an isosceles triangle is a triangle that has two sides of equal length.

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

Given information

First Side = 7

Second Side = x + 14

Given expression deducted from the definition of an isosceles triangle

Second Side = First Side

Substitute values into the expression

x + 14 = 7

Subtract 14 on both sides

x + 14 - 14 = 7 - 14

$\boxed{x=-7}$

Hope this helps!! :)

Please let me know if you have any questions

5 0

3 years ago

Help! Please explain I have a test tomorrow !

Fofino [41]

<h3>given:</h3>

base= 10 ft

height= 12 ft

the surface area of the given pyramid.

<h3>solution:</h3>

$s.a = {a}^{2} + 2a \sqrt{ \frac{ {a}^{2} }{4} + {h}^{2} }$

$s.a = {10}^{2} + 2 \times 10 \times \sqrt{ \frac{ {10}^{2} }{4} { \times 12}^{2} }$

$s.a = 360 \: {ft}^{2}$

therefore, the surface area of the given pyramid is 360 square feets.

answer= option D

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2 years ago

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kodGreya [7K]

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3 years ago