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DaniilM [7]
3 years ago
12

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:

$2

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

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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!

3 0
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
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It’s triangular your welcome hint q
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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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