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4 years ago

Please help. I’m in a mastery test and keep getting the same one incorrect. This is my last chance.

Mathematics

1 answer:

iren [92.7K]4 years ago

4 0

QR=5.25 PR=5 PQ=6.25

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Evaluate the expression using an appropriate double angle formula.. cos^2(15) - sin^2(15)

riadik2000 [5.3K]

Cos²(15°) - sin²(15°) = cos(15° * 2) = √(3/2 so this is the answer by using apropriate formula double angle identity

7 0

4 years ago

What is the answer to this math question 2 1/12-5 5/6

AleksandrR [38]

The solution is:

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75$

Solution:

We have to solve the given expression

Given expression is:

$2\frac{1}{12} - 5\frac{5}{6}$

Let us first convert the mixed fraction to improper fraction

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Thus we get,

$2\frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12}$

$5\frac{5}{6} = \frac{ 5 \times 6 +5}{6} = \frac{35}{6}$

Thus the given expression becomes,

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35}{6}$

Make the denominators same for easier calculations

$2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35 \times 2}{6 \times 2}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25-70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} =\frac{-45}{12}$

Reducing to lowest terms, we get

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4}$

In decimal form, we get

$\rightarrow \frac{-15}{4} = -3.75$

Thus the solution is:

$2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75$

6 0

4 years ago

Can someone help me on this

Cerrena [4.2K]

Answer:

2x+h

Step-by-step explanation:

f(x+h) means that wherever there's an x in the function f(x) we plug in a x+h

we have

(x+h)²+9

Let's start with the numerator

(x+h)²+9-(x²+9)

Distribute the exponent

x²+2xh+h²+9-x²-9

Which gives us

2xh+h²

Divide the whole thing by h to give us

2x+h

4 0

3 years ago

Can anyone help me out with this one?

Bond [772]

Answer:

HEy, dont every do tht

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

Solve y=x^2 + 7 for x

crimeas [40]

Hello! To solve for x means to isolate x:

y = x^2 + 7
y - 7 = x^2
sqrt(y - 7) = x

Answer:
x = sqrt(y - 7)

Hope this helps!

5 0

3 years ago