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3 years ago

What is the missing value?

Mathematics

1 answer:

miss Akunina [59]3 years ago

5 0

Answer: 40

Step-by-step explanation: It is going up by a constant of 9, so 31 + 9 = 40.

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What is the midpoint of the segment shown below

Softa [21]

Answer:

(-1, -1/2)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates and divide by 2

( -11+9)/2 = -2/2 = -1

To find the y coordinate of the midpoint, add the y coordinates and divide by 2

(0+-1)/2 = -1/2

(-1, -1/2)

6 0

2 years ago

Prove that sin^4x + cos^4x= sinxcosx

yKpoI14uk [10]

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

$sin^4(x) + cos^4(x)$

We can rewrite this as:

$(sin^2(x))^2 + (cos^2(x))^2$

Now we can add and subtract cos^2(x)*sin^2(x) to get:

$(sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)$

We can complete squares to get:

$(cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2$

and we know that:

cos^2(x) + sin^2(x) = 1

then:

$1 - 2*sin(x)^2*cos(x)^2$

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

$1 - \frac{sin^2(2*x)}{2}$

Then the simplification is:

$cos^4(x) + sin^4(x) = 1 - \frac{sin^2(2*x)}{2}$

7 0

3 years ago

What does the variable represent in the equation 6-8p=38

GalinKa [24]

Solving the equation $6-8p=38$ we get value of p = -4

Step-by-step explanation:

We need to find the value of p in the equation $6-8p=38$

Solving to find value of p:

$6-8p=38\\Adding\,\,-6\,\,on\,\,both\,\,sides:\\6-8p-6=38-6\\-8p=32\\Divide\,\,both\,\,sides\,\,by\,\,-8\\\frac{-8p}{-8}=\frac{32}{-8}\\p=-4$

So, solving the equation $6-8p=38$ we get value of p = -4

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

3 0

3 years ago

Read 2 more answers

I will mark that person brainliest if they answer correctly and must be well explained

Zolol [24]

it is 180

hope this helps

6 0

3 years ago

Read 2 more answers

Please help me evaluate the expression 10a + 7 if a =1/5

sattari [20]

Answer:

Step-by-step explanation:

10a+7

<u>10(1/5)</u> + 7

6 0

2 years ago