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Semenov [28]
1 year ago
5

The coordinates triangle ABC are A (0, 2), B (-2, 6), and C (4, 0). Find the slope of BC.

Mathematics
1 answer:
salantis [7]1 year ago
8 0

In the given triangle, the slope of line BC is (C) -1.

<h3>What is the slope?</h3>

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

A line's slope is how steeply it slopes from LEFT to RIGHT.

The slope of a line is determined by dividing its rise, or vertical change, by its run, or horizontal change.

No matter which two locations on the line you choose, the slope of a line is always constant (it never varies).

So, the slope of line BC:

Coordinates of BC are:

B: (-2, 6)

C: (4, 0)

Slope formula: m = y2-y1/x2-x1

Now, substitute the values and calculate as follows:

m = y2-y1/x2-x1

m = 0-6/4-(-2)

m = -6/6

m = -1

Therefore, in the given triangle, the slope of line BC is (C) -1.

Know more about slopes here:

brainly.com/question/29280886

#SPJ1

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B) I believe it’s b
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2 years ago
Based on the tax brackets, what’s the estimated total tax due for a single taxpayer with a taxable income of $43,500?
inysia [295]

Answer:

C. $5,509.50

Step-by-step explanation:

The computation of the estimated total tax due in case of taxable income for $43,500 is shown below:

Since in the question the income brackets and based on the income the different tax is to be charged

For $9,525, the 10% tax is charged i.e

= \$9,525 \times 10\%

= $952.50

Upto $38,700, the 12% tax is charged i.e

= (\$38,700 - \$9,526) \times 12\%

= $3,500.88

The remaining amount left is

= (\$43,500 - \$38,701) \times 22\%

= $1,055.78

Now the total tax due is

= $952.50 + $3,500.88 + $1,055.78

= $5,509.16 approx i.e $5,509.50

6 0
3 years ago
Work out angle bxc. give a reason for each angle you work out
Rus_ich [418]

Answer:

∠ BXC = 70°

Step-by-step explanation:

∠ XBC and ∠ AXY are corresponding angles and are congruent, then

∠ XBC = 55°

Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.

∠ BXC = 180° - (55 + 55)° ← angle sum of triangle

∠ BXC = 180° - 110° = 70°

7 0
2 years ago
Find the quotient and any excluded values.<br><br> (x + 5/x^2 + 9x + 20)/(x^2-16/x-4)
Wittaler [7]
By  <span>(x + 5/x^2 + 9x + 20) you apparently meant the following:

         x+5
 ----------------------
   x^2 + 9x + 20

and by 

</span><span>(x^2-16/x-4)
                                       x^2-16
you apparently meant ---------------
                                         x - 4

Please use additional parentheses for clarity.

Dividing,

</span>         x+5                   (x-4)(x+4)
 ----------------------  *  ---------------
   x^2 + 9x + 20                  x-4

Now, x^2 + 9x + 20 factors into   (x+4)(x+5), so what we have now is

       (x+5)(x+4)
------------------------- = 1           This is true for all x, so there are no exclusions.
    (x+4)(x+5)
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3 years ago
Which equation is equivalent to the first equation of the
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