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elena55 [62]
3 years ago
15

Find the value of y.

Mathematics
1 answer:
Lerok [7]3 years ago
8 0

Answer:

y=4

Step-by-step explanation:

<h3>The triangle is divided further into 2 right triangles. So ignore the left one.</h3><h3>We know the angle of elevation is 30° and the hypotenuse is 8.</h3><h3>Looking at SOH CAH TOA we use the sine ratio in trigonometry because we have to find the side opposite to the angle given and we know the hypotenuse. </h3><h3>It is: sin 30 = y/8</h3><h3>y= 8 sin 30</h3><h3>y=4</h3>
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Which represents the solution(s) of the system of equations, y = x^2 - 6x + 8 and y = -x + 4? Determine the solution set by grap
Len [333]

Answer:

(1, 3) and (4,0)

Step-by-step explanation:

The quadratic function is y=x^2-6x+8

We can rewrite in the form y=(x-3)^2-1

The graph is obtained by shifting the parent quadratic function 3 units right and 1 unit down to obtain the parabola shown in the attachment.

The straight line also have equation y=-x+4

The slope is -1 and y-intercept is 4.

We can easily graph this straight line on the same graph as shown in the attachment.

The two graphs intersected at (4,0) and (1,3).

The solution set is therefore  {(x,y)|x=4,y=0 or x=1,y=3}

3 0
3 years ago
570 mL = ? oz,show work
Natali5045456 [20]
Conversion from milliliters to ounces can be done using the following relation: 1 mL = 0.033814 ounce.

Given 570mL, we multiply it to the amount of ounces as shown in the relation. This is done below:

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8 0
3 years ago
The length of a rectangle is 3yd less than twice the width, and area of the rectangle is 27yd^2. Find the dimensions of the rect
Llana [10]
Width= 4.5 yards
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3 0
4 years ago
If f(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%2B3" id="TexFormula1" title="\sqrt{x} +3" alt="\sqrt{x} +3" align=
Delvig [45]

Answer:

f^{-1}(x) = x^{2}-6x+9 is the answer.

Step-by-step explanation:

If the function is f(x) = √x + 3

We will write the function as an equation

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x = y² -6y +9

Now we will convert the equation into a function

f^{-1}(x) = x^{2}-6x+9

Therefore the inverse function f(x) = x²-6x+9

7 0
3 years ago
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cheater bro wyd ur doing a diagnostic try ur best lol

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