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sveticcg [70]
3 years ago
7

The question is in the photo

Mathematics
1 answer:
stellarik [79]3 years ago
6 0

Answer:

8 goes in the first box

3 goes in the second box

The expression is \frac{8}{3}x^4y

==================================================

Work Shown:

z = 9xy * \left(\frac{2}{3}x\right)^3\\\\z = 9xy * \frac{2^3}{3^3}x^3\\\\z = 9xy * \frac{8}{27}x^3\\\\z = 9*\frac{8}{27}*x*x^3*y\\\\z = \frac{9*8}{27}*x^4y\\\\z = \frac{9*8}{9*3}*x^4y\\\\z = \frac{8}{3}x^4y\\\\

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What basic trigonometric identity would you use to verify that sinx cosx tanx=1-cos^2x
andre [41]

Answer:

sin^2x+cos^2x=1 is used to prove the given equation.

Step-by-step explanation:

We have given an equation:

sinx\cdot cosx\cdot tanx=1-cos^2x

We will consider right hand side first

tan x can be written as:

tanx=\frac{sinx}{cosx}

So, on substituting tan x in the left hand side of the given equation we get:

sinx\cdot cosx\cdot \frac{sinx}{cosx}

Cancel common term from denominator and numerator which is cosx we get

sin^2x

And we have an identity:

sin^2x+cos^2x=1

\Rightarrow sin^2x=1-cos^2x

Hence, right hand side is equal to sin^2x.


5 0
3 years ago
Read 2 more answers
Please help I will mark brainlist. Find the missing side x=
olga55 [171]

Answer:

5

Step-by-step explanation:

use the Pythagorean theorem

3 0
2 years ago
Bianca has a paper route. She delivers 100 newspapers every 2 days. How many newspapers does she deliver in a week?
Vlad [161]

We know Bianca delivers 100 newspapers every 2 days.

So we must find out how many papers she delivers in 1 day.

100 ÷ 2 = 50

Bianca delivers 50 papers in 1 day.

Now we must multiply that by 7.

50 × 7 = 350

We get 350 papers per week.

The answer is 350.

8 0
3 years ago
Write the expression as the sine or cosine of an angle sin(pi/7) cos(x) + cos(pi/7) sin(x)
Natasha_Volkova [10]

Answer:

\sin(\frac{\pi}{7}+x)

Step-by-step explanation:

We are going to use the identity

\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b)

because this identities right hand side matches your expression where

a=\frac{\pi}{7} and b=x.

So we have that \sin(\frac{\pi}{7})\cos(x)+\cos(\frac{\pi}{7})\sin(x) is equal to \sin(\frac{\pi}{7}+x).

5 0
3 years ago
2x+5(x+1) = -8;<br><br> Can someone help me solve this problem step by step please?
mariarad [96]

Answer:

-13/7

Step-by-step explanation:

2x+5(x+1)=-8

2x+5x+5=-8

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7x=-8-5

7x=-13

7x/7=-13/7

x=-13/7

4 0
3 years ago
Read 2 more answers
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