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3 years ago

What is the value of x in the equation (x+2)^2=x^2+16^2

Mathematics

1 answer:

iVinArrow [24]3 years ago

7 0

Answer:

Step-by-step explanation:

hello :

(x+2)²=x²+16²

x²+4x+4 =x²+16²

4x = 16² -4

4x= 252

x =252/4 = 63

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Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does a 0 r

MrRa [10]

This could be a situation in which items are both bought and sold. In calculating the inventory, positive numbers represent items bought, negative numbers represent items sold and 0 would be no items in the inventory.

Another type of situation would be the displacement of an object from the original position. Where 0 would represent the original/starting position, positive values would represent distance moved forward, negative values represent distance moved backwards.

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3 years ago

Two accounts earn simple interest. The balance y (in dollars) of Account A after x years can be modeled by y=10x 500. Account B

12345 [234]

In an installment loan, a lender loans a borrower a principal amount P, on which the borrower will pay a yearly interest rate of i (as a fraction, e.g. a rate of 6% would correspond to i=0.06) for n years. The borrower pays a fixed amount M to the lender q times per year. At the end of the n years, the last payment by the borrower pays off the loan.

After k payments, the amount A still owed is

A = P(1+[i/q])k - Mq([1+(i/q)]k-1)/i, = (P-Mq/i)(1+[i/q])k + Mq/i. The amount of the fixed payment is determined byM = Pi/[q(1-[1+(i/q)]-nq)]. The amount of principal that can be paid off in n years isP = M(1-[1+(i/q)]-nq)q/i. The number of years needed to pay off the loan isn = -log(1-[Pi/(Mq)])/(q log[1+(i/q)]). The total amount paid by the borrower is Mnq, and the total amount of interest paid isI = Mnq - P.

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3 years ago

5k - 4p + 3k +2p Please show working

xeze [42]

Answer:

here

5k - 4p + 3k + 2p

=5k + 3k - 4p + 2p

=8k - 2p ans.

7 0

3 years ago

Read 2 more answers

Write an equation of the line that passes through (−1,3) and is parallel to the line y=2x+2.

MA_775_DIABLO [31]

The equation of the line that passes through (−1,3) and is parallel to the line y = 2x + 2 in slope intercept form is y = 2x + 5

<h3>Solution:</h3>

Given that line passes through (-1, 3) and parallel to line y = 2x + 2

We have to find the equation of the line

Let us first find the slope of the line

The slope intercept form of line is given as:

y = mx + c ---- eqn 1

where "m" is the slope of the line and "c" is the y-intercept

Comparing the given line equation y = 2x + 2 with y = mx + c,

We get slope "m" = 2

The slope of parallel lines are equal

Hence slope of the line which is parallel to y = 2x + 2 is also 2

Now let us find the equation of line with slope "m" = 2 and passes through point (-1, 3)

Substitute (x, y) = (-1, 3) in eqn 1 to find value of "c"

3 = 2(-1) + c

3 = -2 + c

c = 5

Now substitute "c" = 5 and m = 2 in eqn 1 to get equation of required line

y = 2x + 5

Thus the equation of line in slope intercept form is y = 2x + 5

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3 years ago

Nayeli wants to earn some extra money so she sells lemonade for $2 per cup and orange juice for $3 per cup. She sells a total of

scZoUnD [109]

Answer:

Step-by-step explanation:

let x represent lemonade and y represent orange juice

the total earning is $240. 2x+3y=240 allows you to find the number of each cup you need to sell to get $240.

the total number of cups sold is 100. x+y=100 gives you the other equation necessary to find the number of cups of each sold if you told a total of 100

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3 years ago