Write sin^2(x)*cos^2(x) as a single power of cosine, show work

Answers

Answer 1

Answer: This is what you're looking for if I'm not mistaken
sin²x + cos²x = 1
So:
sin²x = 1 - cos²x

∴ sin²x * cos²x = (1 - cos²x) * cos²x
= cos²x.(1 - cos²x)
(= cos²x - cos⁴x)

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Calculate the total number of pizzas that must be bought for a birthday party ifeach pizza is cut into 8 slices and each 26 children invited would be given 3
slices.

Answers

Answer:

Step-by-step explanation:

26×3=78

78÷8=9.75

round up to 10 since you can't buy .75 of a pizza

The figure shows two right triangles, each with its longest side on the same line.What is the length of XY?

Answers

The length of XY is 6 units by graphical units.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

We have two triangles in which

triangle RST have hypotenuse is 4 unit.

whereas the triangle XYZ have hypotenuse is 6 unit.

so, longest side is 6 units.

Now, the length of XY is 6 units by graphical units.

Learn more about graph here:

brainly.com/question/17267403

#SPJ5

Answer:

Step-by-step explanation:

since this is on a graph, and perfectly lined up, you can just count the squares on the length of XY

Find the solutions to x2-2x+10=0. The quadratic formula has been started for you.

Answers

Answer

The solution to the quadratic equation is

$x=1\pm3i$

EXPLANATION

Problem Statement

The question gives us the beginning of the application of the Quadratic formula on a quadratic equation. We are required to simplify the expression and get in more certain terms, the values of x.

The expression given is:

$\begin{gathered} x^2-2x+10=0 \n \n x=\frac{2\pm\sqrt[]{(-2)^2-(4)(1)(10)}}{2} \end{gathered}$

Solution

Let us begin to simplify the expression below:

$\begin{gathered} x=\frac{2\pm\sqrt[]{(-2)^2-(4)(1)(10)}}{2} \n \n x=\frac{2\pm\sqrt[]{(-2*-2)^{}-(4*1*10)}}{2} \n \n x=\frac{2\pm\sqrt[]{4-40}_{}}{2} \n \n x=\frac{2\pm\sqrt[]{-36}}{2} \n \n \text{From the laws of indices, we have:} \n \sqrt[]{a* b}=\sqrt[]{a}*\sqrt[]{b} \n \n x=\frac{2\pm\sqrt[]{-1*36}}{2} \n \n x=\frac{2\pm(\sqrt[]{-1})(\sqrt[]{36})}{2} \n \n \text{ We know that, } \n \sqrt[]{-1}=i \n \n x=(2\pm(i)(6))/(2) \n \n x=(2\pm6i)/(2) \n \n x=(2(1\pm3i))/(2) \n \n 2\text{ Crosses out} \n \n x=1\pm3i \end{gathered}$

Final Answer

The solution to the quadratic equation is

$x=1\pm3i$

Factor the trinomial.
The factors of m2 + 12m + 35

Answers

Answer:

(m + 7)(m + 5)

Step-by-step explanation:

Factor, find factors of m² & 35 that, when combined, will give 12m:

m² + 12m + 35

m 7

m 5

(m + 7)(m + 5) is your answer.

Check: Use the FOIL method to check.

(m)(m) = m²

(m)(5) = 5m

(7)(m) = 7m

(7)(5) = 35

Combine like terms:

m² + (5m + 7m) + 35 = m² + 12m + 35 √.

Answer:

(m+7) and (m+5)

Step-by-step explanation:

Just had this on a test

Which fraction is bigger 7/36, or 4/9

Answers

Answer:

4/9 is bigger

Step-by-step explanation:

For the 1st fraction, since 9 × 4 = 36,

4/9 = 4 × 4

9 × 4 = 16/36

Likewise, for the 2nd fraction, since 36 × 1 = 36,

7/36= 7 × 1

36 × 1 = 7/36

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

16/36> 7/36 or 4/9 > 7/36

7/36 is bigger
7 goes into 36 5 times
and 4 goes in 9 only 4 times

I need help please helpp

Answers

Answer:

I believe it's B.Let me know if it's right,if it not,i'm so sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

The other statements incorrectly describe the transformations. C is facing a different direction and so without involving rotations it can not be the reflection of any of the other triangles.

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