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Oxana [17]
2 years ago
10

Find the slope (2,5) and (6,2)

Mathematics
1 answer:
Drupady [299]2 years ago
5 0

Answer:

slope =<u>-3</u>

            4

Step-by-step explanation:

slope = <u>y2 - y1</u>

            x2 - x1

        =<u>2 - 5</u>

          6 - 2

       = <u>-3</u>

          4

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Given:
oksian1 [2.3K]

Answer:

9 units

Step-by-step explanation:

By the midsegment theorem,

AB=\dfrac{KN+LM}{2}

Since the ratio LM:KN=1:5, then LM=x,\ KN=5x and

18=\dfrac{x+5x}{2}\\ \\18=\dfrac{6x}{2}\\ \\18=3x\\ \\x=6\\ \\LM=6\ units\\ \\KN=30\ units

Draw two heights LE and MF. Quadrilateral ELMF is a rectangle, then EF = LM = 6 units.

Trapezoid KLMN is isosceles trapezoid (KL = MN), then KE = FN and

KE=FN=\dfrac{KN-EF}{2}=\dfrac{30-6}{2}=12\ units

Consider right triangle KLE. By the Pythagorean theorem,

KL^2=LE^2+KE^2\\ \\15^2=LE^2+12^2\\ \\LE^2=15^2-12^2\\ \\LE^2=225-144=81\\ \\LE=9\ units

3 0
3 years ago
Solve the quadratic equation for x. What is one of the roots? (x − 5)2 = 9
Sonja [21]

Answer:

x=8, x=2

Step-by-step explanation:

(x-5)^2=9 Solve by completing the square

Find square root of both sides

|x-5|=3

x=8, x=2

7 0
3 years ago
Read 2 more answers
The diameter of the circle above is 100 cm. What is the circumference of the circle<br> ?
Paladinen [302]

Answer: 100pi

Step-by-step explanation:

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7 0
3 years ago
A company produces birthday cards and get well cards at a ratio of 6 to 5 how many birthday cards can ve expected if 60 get well
Alik [6]

The number of birthday cards made is 72.

<h3>Description of ratios</h3>

Ratio expresses the relationship between two numbers. It shows the frequency of the number of times that one value is contained in another number. The sign used to represent ratios is :

<h3>Determining the total cards made. </h3>

Total card = (sum of ratios x number of get well cards) / ratio of get well cards

(11 x 60) / 5 = 132

<h3>Number of birthday cards made </h3>

6/11 x 132 = 72 cards

To learn more about ratios, please check: brainly.com/question/25927869

4 0
2 years ago
For f(x)=4x+1 and g(x)=x^2-5, find (g/f)(x)
ddd [48]

Answer:

(g/f)(x) =  \frac{g(x)}{f(x)}  =  \frac{ {x}^{2} - 5 }{4x + 1}

I hope I helped you^_^

3 0
2 years ago
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