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maxonik [38]
3 years ago
12

Find the length of the missing side.

Mathematics
2 answers:
ryzh [129]3 years ago
3 0

Answer:

  85 ft

Step-by-step explanation:

The Pythagorean theorem tells you the length of the hypotenuse (c) is related to the lengths of the legs (a, b) of a right triangle by ...

  c^2 = a^2 +b^2

  c^2 = (40 ft)^2 +(75 ft)^2 = 7225 ft^2

  c = √(7225 ft^2) = 85 ft

The length of the missing side is 85 ft.

qaws [65]3 years ago
3 0

Answer:

Step-by-step explanation:

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Show all work to factor x^4 − 17x^2 + 16 completely.
Dmitrij [34]

Answer:

x^{4}-17x^{2} +16 = (x -1)(x + 1)(x - 4)(x + 4)

Step-by-step explanation:

At first, let us find the first two factors of x^{4}-17x^{2} +16

∵ The sign of the last term is positive

∴ The middle signs of the two factors are the same

∵ The sign of the middle term is negative

∴ The middle signs of the two factors are negative

∵ x^{4} = x² × x² ⇒ first terms of the two factors

∵ 16 = -1 × -16 ⇒ second terms of the two factors

∵ x²(-1) + x²(-16) = -x² + -16x² = -17x² ⇒ the value of the middle term

∴ (x² - 1) and (x² - 16) are the factors of x^{4}-17x^{2} +16

Now let us factorize each factor

→ The factors of the binomial a² - b² (difference of two squares) are

   (a - b) and (a + b)

∵ x² - 1 is the difference of two squares

∴ Its factors are (x - 1) and (x + 1)

∵ x² - 16 is the difference of two squares

∴ Its factors are (x - 4) and (x + 4)

∵ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of (x² - 1) and (x² - 16)

∵ (x² - 1) and (x² - 16) are the factors of x^{4}-17x^{2} +16

∴ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of x^{4}-17x^{2} +16

∴  x^{4}-17x^{2} +16 = (x -1)(x + 1)(x - 4)(x + 4)

8 0
2 years ago
26 points!!!
yanalaym [24]
It will be:
b=+ or - 5C
7 0
3 years ago
Read 2 more answers
HELP PLSS
atroni [7]

The balloon reaches a height of 7 feet at 0.1 seconds and 2.13 seconds

<h3>How to determine the time the balloon is at the height?</h3>

The equation of the function is given as

h(t)= -16t^2 + 35t + 5

The above equation is a quadratic equation

When the balloon is at a height of 7 feet, we have

h(t) = 7

So, we have the following equations

h(t)= -16t^2 + 35t + 5

h(t) = 7

Next, we plot the equations on a graph (see attachment)

The equations intersect at

t = 0.059 and t = 2.129

Approximate

t = 0.1 and 2.13

Hence, the times are 0.1 seconds and 2.13 seconds

Read more about quadratic equation at

brainly.com/question/15709421

#SPJ1

8 0
1 year ago
Solve the equation for y.<br><br> 4.2x−1.4y=2.1
Vlada [557]

Answer:

y=3x- 3/2

Step-by-step explanation:

4.2x−1.4y=2.1

Subtract 4.2x from each side

4.2x-4.2x−1.4y=-4.2x+2.1

-1.4y = -4.2x +2.1

divide each side by -1.4

-1.4y/-1.4y = -4.2x/ -1.4 +2.1/-1.4y

y=3x- 3/2

7 0
3 years ago
What is 4 1/4 * 4/34 =
Natali5045456 [20]

4 1/4 = 16/4

17/4 : 4/34 =

17/4 * 4/34 =

1/2


5 0
2 years ago
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