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garri49 [273]
3 years ago
9

Is 1,1 2,2 3,5 4,10 5,15 a function

Mathematics
1 answer:
asambeis [7]3 years ago
5 0

Answer:

Yes

Step-by-step explanation:

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The height of a triangle is 7 cm longer than its base.
katrin [286]
A) Height -7 = base
B) .5 * height * base = 60
Substituting A into B
B) .5 * height * (height -7) = 60
B)  .5*height^2  -3.5*height = 60
B)  .5*height^2 -3.5*height -60 = 0
Using the quadratic formula:
Height = 15
Subtracting 7 gives us the base length
Base = 8
**************************************************************
Double-Check
.5 * 15 * 8 = 60


6 0
3 years ago
Write an equivalent expression for 7¹² × 7⁴
ira [324]

Answer:

\huge\boxed{7^{16}}

Step-by-step explanation:

We can use exponent rules to try and simplify this expression down.

Exponent rules tell us that x^a + x^b = x^{a+b}.

This means that since we have the same base on both terms (7 and 7), we can add the exponents to get a simplified expression.

12 + 4 = 16

So our simplified expression is 7^{16}.

Hope this helped!

7 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
Which of the following statements is correct if you roll a fair 6-sided die 600 times?
never [62]
The answer is b hope it helped
7 0
3 years ago
The Martin family is comparing the costs of two different cable companies. Direct TV charges a
nikdorinn [45]

Answer:

It would take 5.5 months for the two cable companies to cost the same.

Step-by-step explanation:

50x + 100 = 60x + 45

        -45               -45

50x + 55 = 60x

-50x            -50x

55 = 10x

/10    /10

x = 5.5

 

6 0
3 years ago
Read 2 more answers
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