Probability of Next Candy

Mathematics

1 answer:

givi [52]2 years ago

8 0

Answer:

8 is correct.

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Y=-1/2x+11 that passes through (4,-8)

kompoz [17]

A line in point-slope form has the equation

y = mx + b

where m=slope (increase in y for unit increase in x), and

b=y-intercept (value of y where line cuts y-axis)

The original line is

y=(-1/2)x + 11

slope = m = -1/2

Any line perpendicular to a line with slope m has a slope of m1=-1/m

So the slope m1 of the required line

m1 = -1 / (-1/2) = +2

and the required line therefore has an equation of

y=2x+b

Knowing that the line passes through P1=(x1, y1)=(4,-8), we can find b using the point slope form of a line with slope m : (y-y1) = m(x-x1)

where m=+2 as found above.

Substituting values, m=+2, x1=4, y1= -8

y-(-8) = +2(x--4)

simplify

y+8 = 2x-8

y=2x-16 (in point slope form)

8 0

3 years ago

5+1+(-3)+...+(-395)=

sleet_krkn [62]

$= \frac{(-395+5)(-395-5-4)}{2.(-4)} \\ \\ \\=-19695 \\ \\ \\ Good Luck:))$

5 0

3 years ago

What is the value of p

Svetllana [295]

See the picture attached to better understand the problem
we know that
90°+∠BAC=180°------> by supplementary angles
∠BAC=90°
125°+∠ABC=180° -----> by supplementary angles
∠ABC=55°
∠BAC+∠ABC+p=180----> <span>sum of the internal angles of a triangle is 180 degrees
</span>p=180-90-55-----> p=35°

the answer is
p=35°