MATHEMATICS HIGH SCHOOL

Enter an equation in point-slope formThe slope of the line is 2/5, and it contains the point: (−2, 7).

Answers

Answer 1

Answer:

Answer:

y = 2/5x + 39/5

Step-by-step explanation:

point slope form is y = mx + b

so far we have y = 2/5x + b

m is slope which is given. We need to find b which is y-intercept.

They give us the point (-2,7). We can plug this into the equation to find b.

7 = 2/5(-2) + b

7 = -4/5 + b

b = 39/5

The equation now looks like y = 2/5x + 39/5

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The struggle is real...

What number is 110 of 5019.72?

Answers

Answer:

110x5019.2 is equal to 552169.2

The function t(x) = x + 6 determines how many cans of soup a food truck needs to stock, where x is the number of shifts the crew is going to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on soup. The function c(x) = 2x + 4. Solve for how much money must be spent when the crew is going to work 4 shifts.(A. 24; B. 28; C. 30; D. 34)

Answers

Answer:

Option A is correct.

The amount of money must be spent when the crew is going to work 4 shifts is, 24

Step-by-step explanation:

Given the function: $t(x) = x+6$ .....[1] ; where x represents the number of shifts the crew is going to work in the truck.

Also, the crew uses c(t(x)) which represents the amount of money to spend on soup.

The function is given as:

c(x) = 2x + 4 .....[2]

To find c(t(x)) i.e, the money must be spent when the crew is going to work 4 shifts.

⇒ x = 4

First substitute the value of x in [1] to find t(x);

$t(4) = 4+6 = 10$

Then;

For x=4 ,

c(t(4)) = 2(t(4)) +4 [Using equation [2]]

Substitute the value of t(4) = 10 we have;

c(t(4)) = 2(10) +4 = 20 + 4 = 24

Therefore, the amount must be spent when the crew is going to work 4 shifts is, 24

First, you have to solve t(x) when x=4, because the crew is working 4 scripts. Which is t(x)=4+6
t(x)=10
Then, you plug in t(x) to c(x).
c(x)=2(10)+4
c(x)=24

Helpppp i’ll give that crown thing

Answers

Answer:

N K Q

Step-by-step explanation:

ABCD is a rectangle. Find the length of each diagonal.ac=2(5a+1) bd=2(a+1).

Answers

The length of the diagonal of the rectangle is d = 2

What is the diagonal of a rectangle?

The diagonal of a rectangle is calculated by the formula

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

Let the rectangle be represented as ABCD

Now , the diagonal of the rectangle is AC and BD

The measure of AC = 2 ( 5a + 1 )

And , the measure of BD = 2 ( a + 1 )

For a diagonal of a rectangle ,

The two diagonals of the rectangle will be same

So , the measure of AC = measure of BD

Substituting the values in the equation , we get

2 ( 5a + 1 ) = 2 ( a + 1 )

On simplifying the equation , we get

Divide by 2 on both sides of the equation , we get

5a + 1 = a + 1

Subtracting a on both sides of the equation , we get

4a + 1 = 1

Subtracting 1 on both sides of the equation , we get

4a = 0

a = 0

Now , substitute the value of a in measure of AC , we get

The measure of diagonal AC = 2 ( 5 ( 0 ) + 1 )

The measure of diagonal AC = 2

Hence , the measure of diagonals of the rectangle = 2

To learn more about diagonal of rectangle click :

brainly.com/question/13583275

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Rectangle diagonals are equal.

2(5a+1) = 2(a+1)
10a + 2 = 2a + 2
10a -2a = 2 - 2
8a = 0
⇒ a = 0

AC = 2(5a+1) = 2(5 × 0 +1)= 2(0 + 1) = 2 × 1 = 2
BD = 2(a+1) = 2(0 + 1) = 2 × 1 = 2

Ansver: AC = BD = 2

What is the sum of 2/5 and 2/4

Answers

Okay you want to find the common factor right? So then 2/5 fifth and 2/4 fourth have only 20 in common. So 2/5 times 4 is? 8/20 do not simplify so then 2/4 times five is 10/20 so then 8+10=18/20 simplify and you get 9/10.

2. A rectangular photograph measuring 8 in by 10 in is surrounded by a frame with a uniform width, xx.a. What type of function can best represent the area of the picture and the frame in terms of xx (the unknown frame’s width)? Explain mathematically how you know.
b. Write an equation in standard form representing the area of the picture and the frame. Explain how you arrive at your osition.