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kap26 [50]
3 years ago
10

On a certain map, 1.25 inches represents 20 miles. Longwood and Milltown are 5 inches apart on the map. What is the actual dista

nce between Longwood and Milltown?
Mathematics
2 answers:
lawyer [7]3 years ago
6 0

Answer:

80 miles

Step-by-step explanation:

Divide 5 by 1.25. That equals 4. Then multiply 4 by 20 and that equals 80. So its 80 miles between Longwood and Milltown.

Elanso [62]3 years ago
3 0
Divide 5 by 1.25. That equals 4. Multiply 4 by 20 and that equals 80. So its 80 miles between Longwood and Milltown.
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What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4,
zheka24 [161]
Answer: C ) y + 3 = 1/4 ( x + 4 )

Explanation:

Given that you did not include the "given line", I can help you by explaning how to solve this kind of problems, step by step.

The procedure is based of the property of perpendicular lines: the product of the slopes of perpedicular lines is negative 1.

If you call m1, the slope of a line and m2 the slope of a perpendicular line, then:

m1 * m2 = - 1, and you can solve for either m1 or m2:

m1 = - (1 / m2)

m2 = - (1 / m1).

With that this is the procedure:

1) find the slope of the "given line". Name it m1.

2) find the slope of the perpendicular line:

    m2 = - (1 / m1).

3) Use the equation of the line with the point (x1,y1) and slope m2

y - y1
-------- = m2
x - x1

4) In this case the point is (-4, - 3)=> x1 = - 4, y1 = - 3

=>

y - (-3)
---------= m2
x - (-4)

=> y + 3 = m2 * (x + 4)

=> y = m2*x + m2 * 4 - 3

Which is the point-slope form. You only have to replace m2 with the slope value of the perpendicular line, which I already explained that you find as m2 = (-1/m1).

Taking that the other line has m1 = - 4 so m2 = 1/4

      y = (1/4)x + (1/4) * 4 - 3

      y = (1/4) (x +4) - 3

      y + 3 = (1/4) (x + 4) and answer is: C ) y + 3 = 1/4 ( x + 4 )



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2 years ago
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<img src="https://tex.z-dn.net/?f=%20%7B6%7D%5E%7B2%20%3D%7D%20" id="TexFormula1" title=" {6}^{2 =} " alt=" {6}^{2 =} " align="a
sergejj [24]
6 x 6 which equals 36
7 0
3 years ago
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What is the positive solution to this equation?<br><br> 3x^2+16x=112
ikadub [295]

Answer:

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Step-by-step explanation:

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Jose bought a bag of 6 oranges for $2.82. He also bought 5 pineapples. He gave the cashier $20 and received $1.43 change. How mu
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Your answer is: $3.15 each.

Here are the steps:

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Answer:

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Step-by-step explanation:

In this question we have been given first term a1 = 8 and 9th term a9 = 48

we have to find the 23rd term of this arithmetic sequence.

Since in an arithmetic sequence

T_{n}=a+(n-1)d

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Now T_{23}= a + (n-1)d

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Therefore 23rd term of the sequence is 118.

4 0
3 years ago
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