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BabaBlast [244]
3 years ago
10

PLEASE HELP 16 POINTS is math

Mathematics
1 answer:
MAVERICK [17]3 years ago
7 0
1) 5
2) -5
3) 4
4) -11
5) 1.5
6) 50
I think it was a trick question since it has an expression at the end that you use to figure out for y using x
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Find the value of X
geniusboy [140]
Here, angle (3x-1) is supplementary with 5x, so their sum would be equal to 180

3x - 1 + 5x = 180
8x = 180 + 1
x = 181/8
x = 22.625

Hope this helps!
8 0
3 years ago
Find , , and if and terminates in quadrant .
ioda

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

STEP - BY - STEP EXPLANATION

What to find?

• sin2x

,

• cos2x

,

• tan2x

Given:

tanx = 2/3 = opposite / adjacent

We need to first make a sketch of the given problem.

Let h be the hypotenuse.

We need to find sinx and cos x, but to find sinx and cosx, first determine the value of h.

Using the Pythagoras theorem;

hypotenuse² = opposite² + adjacent²

h² = 2² + 3²

h² = 4 + 9

h² =13

Take the square root of both-side of the equation.

h =√13

This implies that hypotenuse = √13

We can now proceed to find the values of ainx and cosx.

Using the trigonometric ratio;

\sin x=\frac{opposite}{\text{hypotenuse}}=\frac{2}{\sqrt[]{13}}\cos x=\frac{adjacent}{\text{hypotenuse}}=\frac{3}{\sqrt[]{13}}

And we know that tanx =2/3

From the trigonometric identity;

sin 2x = 2sinxcosx

Substitute the value of sinx , cosx and then simplify.

\sin 2x=2(\frac{2}{\sqrt[]{13}})(\frac{3}{\sqrt[]{13}})=\frac{12}{13}

Hence, sin2x = 12/13

cos2x = cos²x - sin²x

Substitute the value of cosx, sinx and simplify.

\begin{gathered} \cos 2x=(\frac{3}{\sqrt[]{13}})^2-(\frac{2}{\sqrt[]{13}})^2 \\  \\ =\frac{9}{13}-\frac{4}{13} \\ =\frac{5}{13} \end{gathered}

Hence, cos2x = 5/13

tan2x = 2tanx / 1- tan²x

\tan 2x=\frac{2\tan x}{1-\tan ^2x}=\frac{2(\frac{2}{3})}{1-(\frac{2}{3})^2}=\frac{\frac{4}{3}}{1-\frac{4}{9}}=\frac{\frac{4}{3}}{\frac{9-4}{9}}=\frac{\frac{4}{3}}{\frac{5}{9}}=\frac{4}{3}\times\frac{9}{5}=\frac{4}{1}\times\frac{3}{5}=\frac{12}{5}

OR

\tan 2x=\frac{\sin 2x}{\cos 2x}=\frac{\frac{12}{13}}{\frac{5}{13}}=\frac{12}{5}

Hence, tan2x = 12/5

Therefore,

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

3 0
1 year ago
In two or more complete sentences, identify the parent function, and describe the transformations that were applied to
pantera1 [17]

Answer:

Step-by-step explanation:

Transformed of the function has been given as,

f(x) = \sqrt{(2x+6)}+3

     = \sqrt{2}(\sqrt{x+3})+3

Parent function of this transformed function = \sqrt{x}

Vertical stretch = By a factor of \sqrt{2}

Horizontal shift = 3 units to the left

Vertical shift = 3 units up

Now we can summarize these transformations as,

1). Parent function g(x) = \sqrt{x} has been vertically stretched by a factor of \sqrt{2}

2). Followed by the translations of 3 units left and 3 units up.

3 0
3 years ago
The model represents 100% of the cost of a trip to the Bahamas. Which model represents the cost of the trip if the trip cost is
Aleks04 [339]

74 / 100 hope this helps

5 0
2 years ago
There are 9 more turtles in the water than on a log. 13 turtles are on the water. How many turtles are on a log? Please explain
Snezhnost [94]
Well the answer is 4 because 13 in the water
9 more than the ones on the log
so the log has 9 turtles less than the turtles in the water
4 0
3 years ago
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