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2 years ago

Using the pythagorean theorem, calculate the length of the missing sides (c1, c2, c3)

Mathematics

1 answer:

katrin [286]2 years ago

4 0

Answer:

the Pythagorean theorem states: a^2 + b^2 = c^2

1) in this case a=18 and b1=25

18^2 + 25^2 = c1^2

324 + 625 = c1^2

949 = c1^2

√949 = c1

cca. 30.8 = c1

2) in this case a=18 and b' = b2 - b1 = 40 - 25 = 15

in the picture im attaching i highlighted the triangles we are working with, and there you can clearly see that b' (the horizontal line at the bottom of the red tr.) is the difference between the lines b2 and b1

now you can use the same technique as in the first case, and the final answer will be cca. 23.4 = c2

3) in this case a=18 and b'' = b4 - b3 = 75 - 55 = 20

same thing as number 2, final answer cca. 26.9 = c3

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You are given a line that has a slope of 4 and passed through the point (3/8, 1/2). Which statements about the question of the l

alexgriva [62]

Answer:

Statement 1, 2 and 4 are true where as statement 3 is not true.

Step-by-step explanation:

Statement 1: The y-intercept is -1

Point (3/8, 1/2)

Slope = m = 4

y = mx + c

1/2 = 4(3/8) + c

1/2 = 3/2 + c

1/2 = 3/2 + 2c/2

-2 = 2c

c = -1

This statement is true as the y-intercept is -1.

Statement 2: The slope intercept equation is y= 4x - 1

slope = m = 4

y-intercept = c = -1

y = mx + c

y = 4x - 1

This statement is true as the slope intercept equation is y= 4x -1

Statement 3: The point slope equation is y - 3/8 = 4 (x - 1/2)

Point slope equation: y - y1 = m (x - x1)

Points: (x, y) (3/8, 1/2)

y1 = 1/2

x1 = 3/8

Slope = m = 4

y - 1/2 = 4 (x - 3/8)

This statement is not true as the slope intercept equation is y - 1/2 = 4 (x - 3/8) instead of y - 3/8 = 4 (x - 1/2).

Statement 4: The point (3/8, 1/2) corresponds to (x1, y1) in the point slope form of the equation

This statement is true as shown in statement 3's explanation where x1 = 3/8 and y1 = 1/2

6 0

3 years ago

HELP WILL GIVE BRAINLIEST

Mariana [72]

On the 4th question I can’t tell if those are dots or arrows on the line above “AN” when it says “B lies on AN”, if those are 2 dots on the little line don’t check it, if they are 2 little arrows on the line then check the box, but other than that the rest of the checked are right!!