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lora16 [44]
2 years ago
10

the diameter of a value for the space shuttle must be within 0.001mm of 5mm. Write and solve an absolute value equation to find

the boundary values for the acceptable diameters of the valve. i just need the absolute value equation i will name whoever does it first brainliest
Mathematics
1 answer:
dybincka [34]2 years ago
4 0

The <em><u>correct answer</u></em> is:

|x-5|=0.001

Explanation:

Since the diameter must be within 0.001 mm, this means it can be greater than 5 by this amount or less than 5 by this amount.  This is why we use an absolute value equation; absolute value describes distance.

Since it must be within 0.001 mm, this means the difference between our value, x, and 5 must equal 0.001; this is why x-5 goes in the absolute value bars and 0.001 goes across the equals sign.

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Given circle X with radius 10 units and chord AB with length 12 units, what is the length of segment CX, which bisects the chord
andrew-mc [135]
Consider the circle with center X, as shown in the figure. 

Draw the diameter of the circle which is parallel to cherd AB, as shown in the figure.

Since the diameter and AB are parallel, then the line segment XC which bisects AB at C, will be perpendicular to AB.

SO triangle XCB is a right triangle. Thus the length of CX, by the Pythagorean theorem is  

\sqrt{ XB^{2}- CB^{2}} = \sqrt{ 10^{2}- CB^{6}}= \sqrt{100-36}= \sqrt{64}=8 units.


Answer: 8 units

7 0
2 years ago
Write an exponential function in the form y<br> and (3,72).<br> ab" that goes through points (0,9)
Vikentia [17]

Answer:

y=9 ( {2}^{x} )

Step-by-step explanation:

Let the exponential function be

y = a {b}^{x}

We substitute (0,9) to get:

9 = a {b}^{0}

9 = a(1)

a = 9

The equation now becomes:

y = 9 {b}^{x}

We substitute (3,72) to get:

72 =9  {b}^{3}

8={b}^{3}  \\  {2}^{3}  =  {b}^{3}

b = 2

The equation is therefore

y=9 ( {2}^{x} )

3 0
2 years ago
A softball pitcher throws a softball to a catcher behind home plate. The softball is 3 feet above the ground when it leaves the
Xelga [282]

The <em><u>correct answer</u></em> is:

h(t) = –16t² + 50t + 3

Explanation:

The general form of an equation such as this is h(t) = at² + v₀t + h₀, where a is the constant due to gravity, v₀ is the initial velocity and h₀ is the initial height.

We are given that the constant due to gravity is -16.

The initial velocity is 50, and the initial height is 3; this gives us the equation

h(t) = -16t² + 50t + 3

5 0
1 year ago
Read 2 more answers
Write the quadratic equation whose roots are six and -2 and who’s leading coefficient is 3 use the letter X to represent the var
Artist 52 [7]

Answer:

3X^{2} - 12X - 36 = 0

Step-by-step explanation:

6 and - 2 are the only two solutions to the required quadratic equation.

So, if the variable is represented by X then (X - 6) and (X + 2) will be the only two factors of the polynomial function.

Therefore, the equation is  

(X - 6)(X + 2) = 0

⇒ X^{2} - 4X - 12 = 0

If the leading coefficient of the equation is 3 then we can write the equation as 3X^{2} - 12X - 36 = 0 (Answer)

6 0
2 years ago
How does the value of 874.12 change if the decimal point is moved two places to the left?
Rashid [163]

Answer:

C

Step-by-step explanation:

When you move the decimal either to the right or the left, you change the value. To divide any number by 10, move the decimal point one place to the left. For example:  

0.7

7

70

700

7,000

So, for any decimal, when you move the decimal point one place to the right, you multiply that number by 10.

3 0
2 years ago
Read 2 more answers
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