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ch4aika [34]
2 years ago
13

Z(q) = 4q + 1/2...The zoomster function z used in space flight engineering is defined above. If, for some number u, z(u + 1/2) =

1/2, then what is the value of u ?
Mathematics
1 answer:
Westkost [7]2 years ago
5 0

We are given the equation:

<span>Z(q) = 4q + ½    ---> 1</span>

The equation for z(u + 1/2) is obtained by substituting q with u + ½ in the equation, therefore we can say that:

<span>q = u + ½          ---> 2</span>

Substituting this value into equation # 1:

Z = 4 (u + ½) + ½ = z (u + 1/2) 

4 u + 2 + ½ = z (u + 1/2) 

<span>Since it was given that   z (u + 1/2)  = ½     then,</span>

4 u + 2 + ½ = ½

4 u + 2.5 = 0.5

4 u = -2

u = -1/2         (ANSWER)

 

 

<span> </span>

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Find the output, yyy, when the input, xxx, is 555.<br><br> y = 5x-3y=5x−3
makkiz [27]

The output y is y=22

Explanation:

The expression is y=5 x-3

We need to determine the output y, when the value of input is x is 5.

That is, substituting x=5 in y=5 x-3, we get,

y=5(5)-3

Multiplying the value within the bracket, we have,

y=25-3

Subtracting the terms, we get,

y=22

Thus, the value of output y is y=22

4 0
2 years ago
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Frankie wants to build a path from one corner of his yard to the opposite corner. His yard measures 20 ft. x 32 ft. What will be
riadik2000 [5.3K]
Frankie's yard is a rectangle with the longer side = 32ft and the shorter side = 20ft. You want to find the length of the diagonal going through the rectangle. In essence, you basically have a triangle with two sides, one 32ft, the other 20ft, and you're looking for the hypotenuse.

Let's call a=32, b=20, and you're looking for the hypotenuse c. Use the Pythagorean theorem:
{a}^{2}  +  {b}^{2}  = {c}^{2}
Plug the numbers in to find c, the length of your path! So
\sqrt{{32}^{2}  +   {20}^{2}}  = 37.7
4 0
1 year ago
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If line b is perpendicular to line a, and line c is perpendicular to line a, what is the slope of line c?
slega [8]

we know that

If line b is perpendicular to line a, and line c is perpendicular to line a,

then

line b and line c are parallel

and two lines parallel have the same slope

so

<u>Find the slope of the line b</u>

Let

A(-3,-2)\\B(2,3)

The formula to calculate the slope between two points is equal to

m=\frac{(y2-y1)}{(x2-x1)}

(x1,y1)=(-3,-2)\\(x2,y2)=(2,3)

substitute

m=\frac{(3+2)}{(2+3)}

m=\frac{(5)}{(5)}

m=1

therefore

<u>the answer is</u>

<u>the slope of the line c is</u>

mc=1

8 0
2 years ago
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A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 16o when staring at the top of the sta
NemiM [27]

Answer:

The height of the statue is 21.4 feet

Step-by-step explanation:

We are given

A person is standing 50 ft from a statue

The person looks up at an angle of elevation of 16 degree when staring at the top of the statue

hen the person looks down at an angle of depression of 8 degree when staring at the base of the statue

Firstly, we will draw diagram

In triangle ABF:

FC=50

we can use trig formula

tan(16)=\frac{y}{50}

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now, we can find x

In triangle DEF:

we can use trig formula

tan(8)=\frac{x}{50}

x=50tan(8)

x=7.0270ft

we can see that

height of statue =x+y

so, the height of statue is

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6 0
2 years ago
In a right triangle, angle a measures 20. The side opposite angle a is 10 centimeters long. Approximately how long is the hypote
AleksAgata [21]

<span>sin(angle)=<span><span>opposite leg/</span><span>hypotenuse</span></span></span>

<span><span><span>
</span></span></span>

<span><span><span> sin(20) = 10/ hypotenuse</span></span></span>

<span><span><span>hypotenuse = 10/sin(20) = 29.238 ( round off as necessary)</span></span></span>

<span><span><span>
</span></span></span>


6 0
2 years ago
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