Which of the following points are on the line given by the equation y=2x?A.(16,8)
B.(1,3)
C.(4,6)
D.(3,6)
E.(4,2)
F.(5,10

Answers

Answer 1
Answer:

The following points that are on the line given by the equation y=2x are Options (D). (3,6) and (F). (5,10).

What is a straight line ?

A straight line is a line passing through the x-y plane that has equal intercepts with respect to the x axis and the y-axis. The slope of a straight line is always equal. The straight line is also satisfied by the coordinates points in the x and y axis respectively.

How to identify the points on the given line y = 2x ?

To identify the points satisfied by any given equation, we have to replace the points given in the following equation.

Taking first point in option (A) , (16,8) , we have y = 8 and x = 16 which does not satisfy the equation y = 2x .

Taking second point in option (B) , (1,3) , we have y = 3 and x = 1 which does not satisfy the equation y = 2x .

Now from the following options, checking points in Option (D) where x = 3 and y = 6 which satisfies the equation y = 2x .

Also checking the points in Option (F) where x = 5 and y = 10 which satisfies the equation y = 2x .

The following points that are on the line given by the equation y=2x are Option(D). (3,6) and Option(F). (5,10) .

To learn more about points in a straight line, refer -

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Answer 2
Answer:

Answer: it’s (5,10) and (3,6)


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The length of a rectangle is 10 mm longer than its width. Its perimeter is more than 80 mm. Let w equal thewidth of the rectangle.
(a) Write an expression for the length in terms of the width.
(b) Use these expressions to write an inequality based on the given information.
(c) Solve the inequality, clearly indicating the width of the rectangle

Answers

P=L+L+W+W=2(L+W)
P>80
2(L+W)>80
divide 2
L+W>80

L is 10 more than W
L=10+W

A. L=10+W

B. L+W>80

C.
L+W>80
sub L=10+W
10+W+W>80
minus 10
2W>70
divid 2
W>35
W is mor than 35
We know that the length (L) of the rectangle in question is 7mm longer than its width (W). Let's represent that as the following:
L=7+W

A rectangle's perimeter (the total sum of its sides) will be made my 2 sides representing the length  (2L) and 2 sides representing the width (2W).  We also know that this rectangle's perimeter is greater than 62. Since eventually we are solving for W, let's state all expressions in terms of W:
2L=2(7+W)
2(7+W)+2W>62
14+2W+2W>62
14+4W>62
4W>62-14
4W>48
W>48/4
W>12
If the rectangle's perimeter is greater than 62, then the width  will be greater than 12. Let's confirm this:
Perimeter=2L+2W
P=2(7+12)+2(12)
P=14+24+24
P=62
So we can see that if the perimeter is to surpass 62, W needs to be greater than 12 and L ( which is also 7+W) needs to be greater than 19.

What is 7 billion in standard form?

Answers

if by standard from you mean numbers (123) and not words then

1 milllion=1000 thousand or 1000*1000 or 1,000,000
1 billion=1000 million=1000*1000*1000=1,000,000,000
so 7billion=7*1000*1000*1000=7,000,000,000
7 billion is standard form is "Seven Billion"

John finds that he can make 34 cookies from a single batch of a recipe. If he makes six batche, how many cookies can he make?

Answers

Since 34 cookies are in a batch and you need 6 of them, you multiply 6 times 34 to get 204 cookies for 6 batches.
John can make 204 cookies 
Multiply 34x6=204 
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What is a potential psychological outcome of regularly playing sports

Answers

You start having a more competitive outlook and start sizing up people based on their athletic skill. You could also become more focused and able to see the world and react to it faster.
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Christopher is getting a mortgage for a house and will borrow $700,000. For this mortgage, the amortized loan requires annual payments for 22 years at a 4.5% annual interest rate. How much of the first payment (to the nearest cent) is the interest owed for the first year of the loan?

Answers

Answer:

Step-by-step explanation:

How to find the amount of interest owed for the first year of the loan?

To calculate the interest owed for the first year of the loan, we need to consider the loan amount, the annual interest rate, and the loan term.

In this case, borrowing $700,000 for 16 years at an annual interest rate of 7.4%.

The interest owed for the first year can be determined by multiplying the loan amount by the annual interest rate:

Interest = Loan Amount * Annual Interest Rate

Interest = $700,000 * 0.074

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Rewrite 2 2/5 as an improper fraction.

Answers

2 = 10/5

10/5 + 2/5 = 12/5

Answer:

2 2/5=12/5

Step-by-step explanation:

Step 1: multiply the denominator by the whole number. 5x2=10

Step 2: add the answer from step 1 to the numerator. 10+2=12

Step 3: write answer from step 2 over the denominator. 12/5

=12/5

5x2+2=12

5=5