All categories

2 years ago

Use graphs to determine which equation could possibly be an identity.

Mathematics

1 answer:

Rashid [163]2 years ago

3 0

Answer:

a. (sec(t)+csc(t))/(1+cot(t)) = sec(t)

Step-by-step explanation:

Subtracting the right side of the equation will result in an expression that is zero for all values of t if the original equation is an identity. That is the case for the equation of (a), but not for the others. See attached.

You might be interested in

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra

Nana76 [90]

The length of BC is $4 \sqrt{5}$ .

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

$\Rightarrow 16\times 5 = x\times x$

$\Rightarrow 80= x^2$

$\Rightarrow 16\times 5= x^2$

Taking square root on both sides.

$\Rightarrow \sqrt{16\times 5} = \sqrt{x^2}$

$\Rightarrow \sqrt{4^2\times 5} = \sqrt{x^2}$

square and square roots get canceled, we get

$\Rightarrow 4\sqrt{ 5} = x$

The length of BC is $4 \sqrt{5}$ .

7 0

2 years ago

Is there a proportional relationship between x and y? Explain.

Vlad1618 [11]

I don’t think so but divide the top one by the bottom one for every one of them and if it is all the same answer they are proportional x/y

4 0

2 years ago

What’s the Value of y

timama [110]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

1)Russell from Up has 400 balloons. The balloons are red, yellow, blue and purple. Forty percent of the balloons are red, 5% are

Nastasia [14]

Answer:

Blue Ballon = 16

Yellow Ballon = 23

Green Ballon = 26

Red Ballon = 32

Total puffs = 1000

23y + 16(2y) + 32y + 26(y/2) = 1000

23y + 32y + 32y + 13y = 1000

100y = 1000

y = 1000/10

y = 10

Therefore, russell

filled 10 yellow balloons.

6 0

1 year ago

If 2:7 is expressed in the form for 4. Find the value of x.

Lelechka [254]

Answer:

x = 14

Step-by-step explanation:

Given that,

2:7 is expressed in the form for 4:x.

We need to find the value of x.

2:7 must be equated to 4:x.

So,

$2:7=4:x\\\\or\\\\\dfrac{2}{7}=\dfrac{4}{x}\\\\x=\dfrac{7\times 4}{2}\\\\x=14$

So, the value of x is equal to 14.

5 0

2 years ago