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1 year ago

3/14 divided by 2/7 equal

Mathematics

1 answer:

Aleks [24]1 year ago

3 0

Sandra, this is the solution:

3/14 / 2/7

We use the multiplicative inverse or reciprocal and convert the division in a multiplication, as follows:

7/2 is the reciprocal or multiplicative inverse of 2/7

3/14 * 7/2

And now:

3 * 7 = 21 in the numerator

14 * 2 = 28 in the denominator

21/28 that we can simplify, this way:

21/28 = 3/4

3/14 divided by 2/7 equal to 3/4

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Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5

weeeeeb [17]

Answer:

slope-intercept: $y=\frac{-4}{5} x-\frac{2}{5}$

point-slope: $y-2=\frac{-4}{5} (x+3)$

Step-by-step explanation:

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.

Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:

y - y1 = m(x - x1)

y - 2 = (-4/5) * (x + 3)

$y-2=\frac{-4}{5} (x+3)$

Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:

y = mx + b

y = (-4/5)x + b

Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:

y = (-4/5)x + b

2 = (-4/5) * (-3) + b

2 = 12/5 + b

b = -2/5

So, the y-intercept is -2/5. Then the slope-intercept form is:

$y=\frac{-4}{5} x-\frac{2}{5}$

Thus, our two equations are:

slope-intercept: $y=\frac{-4}{5} x-\frac{2}{5}$

point-slope: $y-2=\frac{-4}{5} (x+3)$

8 0

2 years ago

The diagonals of a quadrilateral QRST intersect at P(-1,3). QRST has vertices at Q(3,6) and R(-4,5). What must be the coordinate

erica [24]

S = (-5,0)

T = (2,1)

Step-by-step explanation:

Step 1 :

Given

Q = (3,6) and R = (-4,5). P = (-1,3)

Let S be (a,b) and T be (c,d)

The diagonals of a parallelogram bisect each other. so in order to ensure that QRST is a parallelogram, P must be the mid point of the diagonals QS and RT.

Step 2 :

P is the midpoint of QS

So we have (3+a) ÷ 2 = -1 and (6 + b) ÷ 2 = 3

=> 3 + a = -2 and 6 + b = 6

=> a = -5 and b =0

So S should be (-5,0)

Step 3 :

P is the midpoint of RT

So we have (-4+c) ÷ 2 = -1 and (5 + d) ÷ 2 = 3

=> -4+ c = -2 and 5 + d = 6

=> c = 2 and d =1

So T should be (2,1)

Step 4 :

Answer :

S = (-5,0)

T = (2,1)

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3 years ago

How many times can 8 go into 60

nignag [31]

The correct answers are:

(1) If EXACT number is required, then 7.5.

(2) If multiple of 8 is required then the answer will be 7 times with a remainder of 4.

Explanation:

First you need to express it in the form of equation to make things simpler as follows:

8 * y = 60

We need to find y; to do so, divide 60 by 8:

y = $\frac{60}{8}$

y = 7.5

Now if you want to find the whole number, then the answer will be 7 times, with 4 left over.

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3 years ago

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Division the answer is 4

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vladimir1956 [14]

There are extra periods so I’m not exactly sure but I think it’s 00.96

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