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1 year ago

5

What is the distance between the points (11,19) and (11,-6) in the coordinate plane?

1 answer:

IrinaK [193]1 year ago

6 0

Answer: 25 units

Step-by-step explanation:

distance with negatives is still an addition but you have to turn the negative into a positive to get the answer.

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A rectangular table is 22.5 inches wide and 31 inches long using the Pythagorean theorem what is the length of the diagonal of t

Stolb23 [73]

38
(Rounded it up from 38.305)

4 0

3 years ago

2. Six cell phones weigh 46.2 ounces.

Zigmanuir [339]

Answer:

Yes, they're proportional and the constant of proportionality is 7.7.

Step-by-step explanation:

They are proportional because 46.2÷6=7.7 and 107.8÷14 also equals 7.7. This also means that 7.7 is the constant of proportionality.

6 0

3 years ago

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Trig proofs with Pythagorean Identities.

lorasvet [3.4K]

To prove:

$$\frac{1}{1-\cos x}-\frac{\cos x}{1+\cos x}=2 \cot ^{2} x+1$

Solution:

$$LHS = \frac{1}{1-\cos x}-\frac{\cos x}{1+\cos x}$

Multiply first term by $\frac{1+cos x}{1+cos x}$ and second term by $\frac{1-cos x}{1-cos x}$ .

$$= \frac{1(1+\cos x)}{(1-\cos x)(1+\cos x)}-\frac{\cos x(1-\cos x)}{(1+\cos x)(1-\cos x)}$

Using the identity: $(a-b)(a+b)=(a^2-b^2)$

$$= \frac{1+\cos x}{(1^2-\cos^2 x)}-\frac{\cos x-\cos^2 x}{(1^2-\cos^2 x)}$

Denominators are same, you can subtract the fractions.

$$= \frac{1+\cos x-\cos x+\cos^2 x}{(1^2-\cos^2 x)}$

Using the identity: $1-\cos ^{2}(x)=\sin ^{2}(x)$

$$= \frac{1+\cos^2 x}{\sin^2x}$

Using the identity: $1=\cos ^{2}(x)+\sin ^{2}(x)$

$$=\frac{\cos ^{2}x+\cos ^{2}x+\sin ^{2}x}{\sin ^{2}x}$

$$=\frac{\sin ^{2}x+2 \cos ^{2}x}{\sin ^{2}x}$ ------------ (1)

$RHS=2 \cot ^{2} x+1$

Using the identity: $\cot (x)=\frac{\cos (x)}{\sin (x)}$

$$=1+2\left(\frac{\cos x}{\sin x}\right)^{2}$

$$=1+2\frac{\cos^{2} x}{\sin^{2} x}$

$$=\frac{\sin^2 x + 2\cos^{2} x}{\sin^2 x}$ ------------ (2)

Equation (1) = Equation (2)

LHS = RHS

$$\frac{1}{1-\cos x}-\frac{\cos x}{1+\cos x}=2 \cot ^{2} x+1$

Hence proved.

5 0

3 years ago

What value of c makes this proportion true 25/20= x/4

satela [25.4K]

x = 5

HOPE THIS WILL HELP U

5 0

3 years ago

Please Help Me! [99 Points}

BabaBlast [244]

It's A. all you need to do is plug in the "n"-values for each equation and see if it is true. the only one that works is answer A.

3 0

3 years ago

Read 2 more answers