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3 years ago

What is the effect on the graph of the function f(x) = 2x when f(x) is changed to f(3x)?

Mathematics

2 answers:

Anni [7]3 years ago

7 0

Answer:C) horizontal compression

Step-by-step explanation:

zheka24 [161]3 years ago

3 0

F(x)=2x
f(3x)=2*(3x)=6x the slope will be bigger, so it will grow faster

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Find the area of the given triangle to the nearest square unit. Angle a= 30 degrees, b=10, angle B=45 degrees

storchak [24]

Answer:

$A=34\ units^2$

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

$A = 30\°\\\\B = 45\°\\\\b = 10$

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

$A + B + C = 180\\\\30 + 45 + C = 180$

We solve the equation and thus we find the angle C.

$C = 180 - 30-45\\\\C = 105$

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The sine theorem says that:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}$

Then

$\frac{sin(30)}{a}=\frac{sin(45)}{10}$

$\frac{sin(30)}{\frac{sin(45)}{10}}=a$

$a=7.071$

Also

$\frac{sin(105)}{c}=\frac{sin(45)}{10}$

$\frac{sin(105)}{\frac{sin(45)}{10}}=c$

$c=13.660$

Finally, we use the Heron formula to calculate the triangle area

$A=\sqrt{s(s-a)(s-b)(s-c)}$

Where s is:

$s=\frac{a+b+c}{2}$

Therefore

$s=\frac{7.071+10+13.660}{2}$

$s=15.37$

$A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}$

$A=34\ units^2$

3 0

3 years ago

Can please cross multiply this for me :)

Alchen [17]

64 x 100 = 6400
11 x x = 11x
I’ll solve this out for you
11x = 6400
Divide 11 from both sides
x = 581.8
Hope this helps!

4 0

4 years ago

Read 2 more answers

the sides of a triangle are 8 inches, 9 inches, and 10 inches. if the shortest side of a similar triangle is 24 inches Find long

shutvik [7]

The answer is 30 inches:)

7 0

3 years ago

Read 2 more answers

A researcher is studying a mouse population in a field. For the first year of her study, she notices that the mouse population d

Montano1993 [528]

Answer:

The 500 mice would be the carrying capacity of the field being studied.

Step-by-step explanation:

For the first year of study, the mouse population demonstrates exponential growth.

But by third year, the mouse population has stabilized at approximately 500 mice.

Thus, this 500 mice would be the carrying capacity of the field being studied.

Carrying capacity is defined as the measure to demonstrate the maximum population size that any given environment can sustain for an unspecified time period.

5 0

3 years ago

Match each quadratic equation with the best way to solve it. 1. 5x2 + 12x - 3 = 0 solve by square root method 2. x2 - 4x = 8 sol

Ksivusya [100]

<span>The best way to solve each equation is:

</span> 1) 5x2 + 12x - 3 = 0 -----> solve by quadratic formula
2) 4x2 - 25 = 0 -----------> solve by square root method
3) x2 - 5x + 6 = 0 --------> solve by factoring
4) x2 - 4x = 8 -------------> solve by completing the square

8 0

3 years ago