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3 years ago

Honeycrisp apples are on sale if you buy a crate, 15 pounds for $30. What is the unit price per pound

Mathematics

1 answer:

igomit [66]3 years ago

3 0

Answer:

Step-by-step explanation:

$30 ÷ 15 pounds

30 ÷ 15 = 2

Answer: $2 per pound

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What value of c makes the polynomial below a perfect square? x^2+10+c

Inessa05 [86]

Answer: Hi there

To find the last term in order to obtain the perfect square, take the middle term, divide it by 2, and take its square.

10 ÷ 2 = 5

5^2 = 25

Thus, the equation would be x^2 + 10x + 25

The answer is 25

Maybe mark Brainliest

4 0

3 years ago

Find the 10th term of the geometric sequence 1, 3, 9, .

spin [16.1K]

Answer:

19683

Step-by-step explanation:

As the formula of the geometric sequence:

$a_{n} =a_{1} *r^{n-1}$

In the sequence of 1, 3, 9..., you have a1 = 1 and r = 3. Therefore:

$a_{10} =1 *3^{10-1} = 3^{9} =19683$

Hope this helps!

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3 years ago

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

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

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3 years ago

Describe the series of rigid transformations that maps pqs onto p’’’q ’’’s ’’’ .explain.

Masteriza [31]

It’s triangular your welcome hint q

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3 years ago

Equivalent fractions using the LCD 7/10 and 2/5

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7/2,14/4,21/6,28/8,35/10,42/12,49/14,56/16,63/18,70/20

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3 years ago