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laila [671]
3 years ago
11

Use the work shown below to write the equation for a line that passes through the points (−5, 0) and (−1, −8).

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
7 0

Answer:

M = -2

b = -10

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

m = (-8 -0)/(-1- -5)

   = (-8-0)/(-1+5)

    = -8/4

    = -2

We now want to find the y intercept

y = mx+b is the slope intercept form of the equation

y = -2x+b

Using the point (-5,0)

0 = -2(-5) +b

0 = 10+b

Subtract 10 from each side

-10 = 10-10+b

-10 =b

The y intercept is -10

y= -2x-10

seropon [69]3 years ago
4 0

Answer:

1) slope: -2

2) y-intercept: -10

Equation:

y = -2x - 10

Step-by-step explanation:

1) slope: (-8 - 0)/(-1 - -5)

= -8/4 = -2

2) y = -2x + c

0 = -2(-5) + c

c = -10

Equation:

y = -2x - 10

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Use the information in the diagram to find the length of segment AD. Round your answer to the nearest hundredth.
Lana71 [14]

Based on the lengths of the given triangles and the length of segment BD, the length of segment AD is 22.20.

<h3>What is the length of segment AD?</h3>

The triangle ABC is a right angled triangle with segment AB being the hypothenuse.

We can therefore find this length using the Pythagoras Rule:

Hypothenuse ² = a² + b²

Hypothenuse ² = 28.6² + 23.2²

Hypothenuse ² = 1,356.20

Hypothenuse = √1,356.20

= 36.83

Length of AD:
= AB - BD

= 36.83 - 14.60

= 22.2

Find out more on the Pythagorean theorem at brainly.com/question/343682.

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7 0
2 years ago
Angle JKL is an equilateral triangle jk=13x+5 KL=17x-19 and JL=8x+35
Goshia [24]

The value of x is 6, then the value of JK is 83, KL is 83 and JL is 83.

<h3>What is a triangle?</h3>

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

An equilateral triangle is a shape with three sides that have an equal measure of side length.

The 3 sides of triangle JKL are equal to each other, therefore we can equate any of the two sides together to find the unknown variable called x.

So, JK = KL

JK = 13x + 5

KL + 17x - 19

13x + 5 = 17x - 19

Collect like terms;

17x - 13x = 19 + 5

4x = 24

x = 24/4

x = 6

We can now proceed to find the sides;

JK = 13x + 5

13 x 6 + 5

= 78 + 5

= 83

JK = 83

KL = 17x - 19

= 17 x 6 - 19

= 102 - 19

= 83

KL = 83

JL= 8x + 35​

= 8 x 6 + 35

= 48 + 35

= 83

JL = 83

Hence, The value of x is 6, then the value of JK is 83, KL is 83 and JL is 83.

Learn more about the triangles;

brainly.com/question/2773823

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2 years ago
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3 years ago
Each number in the sequence is 8 less than the previous number which list of number can be described by the following rule
Ganezh [65]

Answer: a

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