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3 years ago

What is 531 divided by 4?

Mathematics

2 answers:

lorasvet [3.4K]3 years ago

7 0

531 divided by 4 is 132.75. You can check by doing 132.75 x 4.

Leni [432]3 years ago

5 0

The answer is
132.75

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Determine whether LINE AB and LINE CD are parallel, perpendicular, or neither. A(−1, −4) , B(2, 11) , C(1, 1) , D(4, 10) ( write

Luba_88 [7]

Step-by-step explanation:

Hey there!

The points of line AB are; (-1,-4) and (2,11).

Note:

Use double point formula and simplify it to get two eqaution.
Use condition of parallel lines, perpendicular lines to know whether the lines are parallel or perpendicular or nothing.

~ Use double point formula.

$(y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)$

~ Keep all values.

$(y + 4) = \frac{11 + 4}{2 + 1} (x + 1)$

~ Simplify it.

$y + 4 = \frac{15}{3} (x + 1)$

$y + 4 = 5x + 5$

$5x - y + 1 = 0$

Therefore this is the equation of line AB.

Now, Finding the equation of line CD.

Given;

The points of line CD are; (1,1) and (4,10).

~ Using formula.

$(y - y1) = \frac{y2 - y1}{x2 - x1}(x - x1)$

~ Keep all values.

$(y - 1) = \frac{10 - 1}{4 - 1} (x - 1)$

~ Simplify it.

$y - 1 = 3 x - 3$

$3x - y - 2 = 0$

Therefore, 3x - y- 2 = 0 is the eqaution of line CD.

Use condition of parallel lines.

m1= m2

Slope of equation (i)

$m1 = \frac{ - coeff. \: of \: x}{coeff \: of \: y}$

$m1 = \frac{ - 5}{ - 1}$

Therefore, m1 = 5

Slope of second equation.

$m2 = \frac{ - coeff \: .of \: x}{coeff \: .of \: y}$

$m2 = \frac{ - 3}{ - 1}$

Therefore, m2 = 3.

Now, m1≠m2.

So, the lies are not parallel.

Check for perpendicular.

m1*m2= -1

3*5≠-1.

Therefore, they aren't perpendicular too.

So, they are neither.

Hope it helps...

6 0

2 years ago

The graphs of functions f(x) and g(x) = f(x) + k are shown below. Graph of line f of x going through ordered pairs 0, 1 and 2, 6

mash [69]

The cut point with the y axis for both graphs occurs when x = 0
We have then:
For f (x):
The cut point with the y axis is:
$f (0) = 1
$
For g (x):
The cut point with the y axis is:
$g (0) = -1
$
Therefore, the value of k is given by the vertical displacement of the graph k units.
We have then:
$g (0) = f (0) + k
$
From here, let's clear k:
$k = g (0) - f (0)

k = - 1- 1

k = -2$
Answer:
The value of k is -2

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