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1 year ago

4. At a local print shop, 25 copies cost $1.50. At this rate, how much would 60 copies cost?

Mathematics

1 answer:

ioda1 year ago

7 0

Answer:

60 copies would cost 3.60

Step-by-step explanation:

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Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.

koban [17]

Answer:

$x^2 + 4x + y^2 +8y = 0$

Step-by-step explanation:

Given

$A = (-1,-2)$

$B = (2,4)$

$AP:BP = 1 : 2$

Required

The locus of P

$AP:BP = 1 : 2$

Express as fraction

$\frac{AP}{BP} = \frac{1}{2}$

Cross multiply

$2AP = BP$

Calculate AP and BP using the following distance formula:

$d = \sqrt{(x - x_1)^2 + (y - y_1)^2}$

So, we have:

$2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

$2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

Take square of both sides

$4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2$

Evaluate all squares

$4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16$

Collect and evaluate like terms

$4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20$

Open brackets

$4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20$

Collect like terms

$4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y + 20 - 20 = 0$

$3x^2 + 12x + 3y^2 +24y = 0$

Divide through by 3

$x^2 + 4x + y^2 +8y = 0$

3 0

2 years ago

The sum of two numbers is 51 and the difference is 11. what are the numbers?

stiv31 [10]

(51 - 11) : 2 = 20

20 + 11 = 31

20 and 31

6 0

3 years ago

The expression 9x2 - 5x - 7 has ___ terms and a constant of ___.

elena55 [62]

Answer: first option 3, - 7

Justification:

1) Given expression:9x² - 5x - 7

2) Each monomial is a term.

The monomials are each combination of numbers and letters (coefficient, letters and exponents) separated of other monomials (terms) with a + or - operator.

3) Therefore, there are 3 terms which are:

9x²,
-5x, and
-7.

The polynomials with 3 terms are called monomials.

4) The monomial (term) withoud letter is the constant. In this case that is -7.

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3 years ago

The sum of three consecutive odd numbers is 69. What is the biggest number?

ohaa [14]

Answer:

25 is the answer

Step-by-step explanation:

21 23 25

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2 years ago

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ANTONII [103]

Answer:

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Step-by-step explanation:

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