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ELEN [110]
3 years ago
8

Find the slope (-3,10) (-3,7)

Mathematics
1 answer:
IgorC [24]3 years ago
8 0

Answer:

Undefined because the x values are the same

Step-by-step explanation:

Slope: y2 - y1 / x2 - x1

Slope: 7 - 10 / -3 - - 3

Slope: -3 / -3 + 3

Slope: -3 / 0

Slope: undefined

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To clear both of the fractions from fox + 7 = 5 – x, we can multiply both sides of
tatyana61 [14]

Answer:

6,10,or 30 is your answer

3 0
3 years ago
Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from
Lapatulllka [165]
<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units</h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and      y_3=8

The area of a triangle is= \frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]

=|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|

=|-54| = 54 square units

The length of AC = \sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}

                          = \sqrt{(2-12)^{2} +(1-8)^2}

                         =\sqrt{149} units

Let the perpendicular distance from B to AC be = x

According To Problem

\frac{1}{2} \times  x \times \sqrt{149} = 54

⇔x =\frac{108}{\sqrt{149} } units

Therefore the perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units

5 0
3 years ago
Margarita traces a circle with a radius of 20 centimeters like the one shown below. She will color in the shaded region. What is
lana66690 [7]

Answer:

314 cm ^ 2

Step-by-step explanation:

First do, 3.14 x 20 ^ 2

3.14 x 20 ^ 2 = 1,256

Then do, 1,256/4

1,256/4 = 314

Why 4?

This part of the circle is 1/4 of the entire circle.

What does ^ mean?

It's just a way to say to the power of on a computer.

Hope this helps! :)

7 0
3 years ago
Find the product : 2p (4p² + 5p + 7)
Ber [7]
<h3>Answer: 8p^3 + 10p^2 + 14p</h3>

Explanation:

The outer term 2p is distributed among the three terms inside the parenthesis. We will multiply 2p by each term inside

2p times 4p^2 = 2*4*p*p^2 = 8p^3

2p times 5p = 2*5*p*p = 10p^2

2p times 7 = 2*7p = 14p

The results 8p^3, 10p^2 and 14p are added up to get the final answer shown above. We do not have any like terms to combine, so we leave it as is.

6 0
3 years ago
A customer pumps $35.40 total in gas and pays with a $50 bill. What is the amount of change the customer should receive?
djverab [1.8K]
$50 - $35.40 = $14.60
8 0
3 years ago
Read 2 more answers
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