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4 years ago

Calculate length of x

Mathematics

1 answer:

mariarad [96]4 years ago

8 0

X^2 = 24^2 - (9.5)^2
x^2 = 576 - 90.25
x^2 = 485.75
x = √485.75
x = 22.04 cm

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Can someone please help me?(Fill in the blanks) This is on Khan Academy too, I need it ASAP! if you answer right I'll mark you B

Travka [436]

First divide both sides by 2:

$2x^2+7x+6=0\implies x^2+\dfrac72x+3=0$

Move the constant term to the right side:

$x^2+\dfrac72x=-3$

Since

$(x+y)^2=x^2+2xy+y^2$

we want to have

$2y=\dfrac72\implies y=\dfrac74$

Then

$\left(x+\dfrac74\right)^2=x^2+\dfrac72x+\dfrac{49}{16}$

So in our equation, we need to add 49/16 to both sides in order to complete the square:

$x^2+\dfrac72x+\dfrac{49}{16}=-3+\dfrac{49}{16}$

$\implies\left(x+\dfrac74\right)^2=\dfrac1{16}$

7 0

3 years ago

The lengths of two sides of a triangle are shown below:

kifflom [539]

Answer:

Part A: 5x² + 7x - 4

Part B: 5x³ - x² - 8x + 1

Part C: Yes.

Step-by-step explanation:

Part A: The length of two sides of a triangle are given by

Side 1: 3x² - 2x - 1

Side 2: 9x + 2x² - 3

Now, the total length of the two sides, 1 and 2, of the triangle will be

= (3x² - 2x - 1) + (9x + 2x² - 3)

= 5x² + 7x - 4 (Answer)

Part B: If the length of the third side is y and the perimeter of the triangle is (5x³ + 4x² - x - 3), then

y = (5x³ + 4x² - x - 3) - (5x² + 7x - 4) = 5x³ - x² - 8x + 1 (Answer)

Part C: The answers in the part A and part B are closed under addition and subtraction. (Answer)

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4 years ago

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4vir4ik [10]

Answer:

Step-by-step explanation:

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8 0

2 years ago

Read 2 more answers

The values of x and y vary directly

Rama09 [41]

Answer:

y = - $\frac{3}{2}$ x

Step-by-step explanation:

Given that x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = - 4, y = 6, thus

k = $\frac{y}{x}$ = $\frac{6}{-4}$ = - $\frac{3}{2}$

y = - $\frac{3}{2}$ x ← equation of variation

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3 years ago

You have 10 fewer quarters than dimes and 5 fewer nickels than quarters. the total value of the coins is $4.75. Set up a system

Yanka [14]

So
x- quarters
y - dimes
z- nickels

The system of equations would be
x+10=y
z+5=x
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6 0

3 years ago