All categories

4 years ago

The graph of an even function contains the point (3,-5). Which point must also be on the graph of the function?

1 answer:

3 0

An even function is symmetrical about the y-axis. The mirror image of the point across the y-axis will also be on the graph. That point is found by changing the sign of the x-coordinate: (-3, -5).

You might be interested in

If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?

Rufina [12.5K]

$x$ is in quadrant I, so $0$ , which means $0$ , so $\dfrac x2$ belongs to the same quadrant.

Now,

$\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}$

Since $\sin x=\dfrac5{13}$ , it follows that

$\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}$

Since $x$ belongs to the first quadrant, you take the positive root ( $\cos x>0$ for $x$ in quadrant I). Then

$\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}$

$\tan x$ is also positive for $x$ in quadrant I, so you take the positive root again. You're left with

$\tan\dfrac x2=\dfrac15$

4 0

3 years ago

George studied 3/4 hour on monday and 7/8 hour on tuesday. how long did he study altogether on both days?

pentagon [3]

$\dfrac{3}{4}+\dfrac{7}{8}=\dfrac{3\cdot2}{4\cdot2}+\dfrac{7}{8}=\dfrac{6}{8}+\dfrac{7}{8}=\dfrac{6+7}{8}=\dfrac{13}{8}=\dfrac{8+5}{8}=\dfrac{8}{8}+\dfrac{5}{8}=1\dfrac{5}{8}\\\\Answer:\boxed{1\frac{5}{8}\ hour.}$

5 0

3 years ago

Solve for y.<br><br> pls help

dybincka [34]

Answer:

y= -6

Step-by-step explanation:

8 0

3 years ago

What is 5 cm to km? is it 0,00005? if im wrong please correct me because tomorrow i have exam

astra-53 [7]

It's 0.00005 so yeah you're correct

3 0

3 years ago

Read 2 more answers

A craftsman makes a circular table with a radius of 55

Rudik [331]

Answer:

Hey mate here is your answer...

Step-by-step explanation:

smaller circular table to be made

with a diameter only half as big... and diameter of big table is (2*55)= 110cm.... So half diameter of big is (110/2)= 55cm

therefore, diameter of smaller table is 55cm and radius of it's (55/2)= 27.5cm

circumference of circle = 2πr

= 2*3.14*27.5

= 172.7 cm = 27.5cm

hope it helps you ❣️

7 0

2 years ago