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yKpoI14uk [10]
3 years ago
15

Write an equation of a line in slope intercept form that is perpendicular to the line 2x -3y = 12 and passes through the point (

2, 6). in the simplest steps possible
Mathematics
1 answer:
Scilla [17]3 years ago
4 0

Answer:

The equation of the line would be y = -3/2x + 9

Step-by-step explanation:

In order to solve this, start by finding the slope of the original line. You can do this by solving for y.

2x - 3y = 12

-3y = -2x + 12

y = 2/3x - 4

Now that we have a slope of 2/3, we know that the perpendicular slope is -3/2 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 6 = -3/2(x - 2)

y - 6 = -3/2x + 3

y = -3/2x + 9

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Sums of series, Maths. Any help appreciated.
Andrej [43]

Answer:

Step-by-step explanation:

Well, a series in math is simply the sum of the various numbers, or elements of a sequence. For example, to make a series from the sequence of the first five positive integers 1, 2, 3, 4, 5, just add them up. So, 1 + 2 + 3 + 4 + 5 = 15 is a series.

that all what i know i am really sorry bro but that is what i understand !

7 0
3 years ago
Andy is buying a new laptop computer. The store is offering a 15% discount on the model he wants. Andy also has a certificate fr
nika2105 [10]

Answer:

$899.15

0.85(1199) - 120

Step-by-step explanation:

To find the purchase total, multiply the price by the percent paid and subtract the certificate.

The store offers a 15% discount. This means you pay 85% of the price. So the discounted price is 0.85(1199) = 1019.15

Subtract the certificate 1019.15 - 120 = 899.15

The composite function is 0.85(1199) - 120.

7 0
3 years ago
Find the greatest number that divides451, 328 and 673 leaving 1, 4 and 1,respectively as remainders.
Vesna [10]

You're looking for the largest number <em>x</em> such that

<em>x</em> ≡ 1 (mod 451)

<em>x</em> ≡ 4 (mod 328)

<em>x</em> ≡ 1 (mod 673)

Recall that

<em>x</em> ≡ <em>a</em> (mod <em>m</em>)

<em>x</em> ≡ <em>b</em> (mod <em>n</em>)

is solvable only when <em>a</em> ≡ <em>b</em> (mod gcd(<em>m</em>, <em>n</em>)). But this is not the case here; with <em>m</em> = 451 and <em>n</em> = 328, we have gcd(<em>m</em>, <em>n</em>) = 41, and clearly

1 ≡ 4 (mod 41)

is not true.

So there is no such number.

4 0
3 years ago
A spherical globe has a diameter of 10 inches. What is the approximate volume of the globe?
adelina 88 [10]

Answer:

523.33 in^3

Step-by-step explanation:

A sphere is a 3-dimensional version of a circle. An example of a sphere is a ball

Volume of a sphere = \frac{4}{3}πr^{3}

Where

π = 3.14

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

diameter = 2r

Radius = 10 in / 2 = 5 inches

\frac{4}{3} × 3.14 ×5^{3} = 523.33 in^{3}

6 0
3 years ago
Jackie can clean a house in 6 hours. When Jackie and Veronica work together, they can clean a house in about
Digiron [165]

Answer:

5.4 hr i think

Step-by-step explanation:

3 0
3 years ago
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