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3 years ago

Analyze the diagram below and answer the question that follows.

Mathematics

1 answer:

Basile [38]3 years ago

3 0

Answer:

Length KL is 128 units

Step-by-step explanation:

The question is incomplete, as the required statements are not given.

From the image of the attached triangle, we can see hat the triangle is right-angled.

So, we have:

$219^2 = 178^2 + KL^2$

Rewrite as:

$KL^2 = 219^2 - 178^2$

$KL^2 = 16277$

Take square roots

$KL = 128$ -- approximated

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Write an equation that represents the line. Use exact numbers

mestny [16]

The equation that represents the line is:

$y = \frac{5}{6}x+\frac{8}{3}$

Step-by-step explanation:

We have to observe the graph to find the points on line

So the points on line are:

(x1,y1) = (4,6)

(x2,y2) = (-2,1)

First of all we have to find the slope

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{1-6}{-2-4}\\=\frac{-5}{-6}\\=\frac{5}{6}$

Equation of line is given by:

$y=mx+b$

Putting the value of slope

$y = \frac{5}{6}x +b$

Putting (4,6) in the equation

$6 = \frac{5}{6}(4)+b\\6 = \frac{20}{6} +b\\b = 6 - \frac[20}{6}\\b = \frac{36-20}{6}\\b = \frac{16}{6}\\b = \frac{8}{3}$

Putting the value of b

$y = \frac{5}{6}x+\frac{8}{3}$

Hence,

The equation that represents the line is:

$y = \frac{5}{6}x+\frac{8}{3}$

Keywords: Equation of line, slope

Learn more about equation of line at:

#LearnwithBrainly

7 0

2 years ago

What is the value of x? 6x−2(x 4)=12

jonny [76]

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Equation at the end of step 2 : 6x2 - x - 4 = 0 ((2•3x2) - x) - 4 = 0 Step 2 :Trying to factor by splitting the middle term

2.1 Factoring 6x2-x-4

The first term is, 6x2 its coefficient is 6 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -4 

Step-1 : Multiply the coefficient of the first term by the constant 6 • -4 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -1 .

-24 + 1 = -23 -12 + 2 = -10 -8 + 3 = -5 -6 + 4 = -2 -4 + 6 = 2 -3 + 8 = 5 -2 + 12 = 10 -1 + 24 = 23

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Equation at the end of step 2 : 6x2 - x - 4 = 0

3 0

3 years ago

Will I ever get an answer?

JulsSmile [24]

(5/8) / (3/8) =
5/8 * 8/3 =
5/3 =
1 2/3....a = 1, b = 2, c = 3

5 0

2 years ago

school teacher and needs 22 pieces of wood, 3 over 8 ft long, for a class project. If he has a 9-ft board from which to cut the

tiny-mole [99]

Answer:

Yes, he will have enough 3 over 8 ft pieces for his class.

Step-by-step explanation:

Given:

Number of wood required = 22

Length of each wood, $l=\frac{3}{8}\textrm{ ft}$

Total length of the board, $L=9\textrm{ ft}$

Therefore, the number of woods that can be made using the given board is given as:

$\textrm{Number of woods made}=\frac{\textrm{Total length of board}}{\textrm{Length of each wood}}\\\textrm{Number of woods made}=\frac{L}{l}=\frac{9}{\frac{3}{8}}=9\times \frac{8}{3}=\frac{72}{3}=24$

So, he can make 24 woods of length $\frac{3}{8}\textrm{ ft}$ using the 9 ft board. But he has to make only 22 pieces.

Therefore, he has enough of the wood to make the required number of pieces.

3 0

2 years ago

The Ride for Health Bicycle Club has chosen a 33-mile course for this Saturday's ride. If the riders plan on averaging 11 mph wh

andrew11 [14]

Answer:

4 hours

Step-by-step explanation:

33/11 = 3 hours

Plus 1-hour lunch break

Total is 4 hours

7 0

2 years ago