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2 years ago

Question 1 of 25

Mathematics

1 answer:

Andrei [34K]2 years ago

6 0

D. 44 strawberries
Because 26 + 18 is 44

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Type the correct number in the blank

Mademuasel [1]

Answer:

4.11

Step-by-step explanation:

7 0

3 years ago

1,760 yards = miles

devlian [24]

1 mile. Your welcome

5 0

3 years ago

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 is the answer to X-10=12

Damm [24]

Answer:

x=22

Step-by-step explanation:

x-10=12

add 10 to each side..

x-10=12

+10 +10

12+10=22

x=22

im bad at explaining but hope it helps <3

7 0

3 years ago

Question 1: Which equation shows p(x)=x^6−1 factored completely over the integers? (Hint: You will need to use more than one met

kodGreya [7K]

Answer:

Question #1: Option C, (x - 1)(x^2 + x + 1)(x + 1)(x^2 - x + 1)

Question #2: Option C, 8x^3−56x^2+12x−84

Step-by-step explanation:

Question #1

Step 1: Factor

p(x) = x^6 - 1

p(x) = (x + 1)(x - 1)(x^2 + x + 1)(x^2 - x + 1)

Answer: Option C, (x - 1)(x^2 + x + 1)(x + 1)(x^2 - x + 1)

Question #2

Step 1: Expand

p(x) = 4(x - 7)(2x^2 + 3)

p(x) = (4x - 28)(2x^2 + 3)

p(x) = 8x^3 + 12x - 56x^2 - 84

p(x) = 8x^3 - 56x^2 + 12x - 84

Answer: Option C, 8x^3−56x^2+12x−84

8 0

3 years ago