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jasenka [17]
3 years ago
12

Lines a and b are parallel and lines e and f are parallel.

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
5 0

Answer:

the answer is 82

Step-by-step explanation:

Dmitrij [34]3 years ago
3 0

The answer would be 82

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A ball rolls over the edge of a platform with only a horizontal velocity. The height of the platform is 1.6 m and the horizontal
Sever21 [200]

Answer:

35 m/s

Step-by-step explanation:

Let gravitational acceleration g = 9.8m/s2. We can calculate the amount of time for the ball to fall vertically a distance of 1.6 m

1.6 = 9.8t^2/2

t^2 = 2*1.6/9.8 = 0.327

t = \sqrt{0.327} = 0.571s

This is also the time it takes for the ball to fly horizontally, assume constant horizontal speed, we can calculate the speed it takes to travel across 20m in 0.571s

v = 20 / 0.571 = 35 m/s

4 0
3 years ago
What is the equation of the line perpendicular to 3x+y= -8that passes through -3,1? Write your answer in slope-intercept form. S
Gekata [30.6K]

Slope intercept form of a line perpendicular to 3x + y = -8, and passing through (-3,1) is y=\frac{1}{3} x+2

<u>Solution:</u>

Need to write equation of line perpendicular to 3x+y = -8 and passes through the point (-3,1).

Generic slope intercept form of a line is given by y = mx + c

where m = slope of the line.

Let's first find slope intercept form of 3x + y = -8

3x + y = -8

=> y = -3x - 8

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c , we can say that for line 3x + y = -8 , slope m = -3  

And as the line passing through (-3,1) and is  perpendicular to 3x + y = -8, product of slopes of two line will be -1  as lies are perpendicular.

Let required slope = x  

\begin{array}{l}{=x \times-3=-1} \\\\ {=>x=\frac{-1}{-3}=\frac{1}{3}}\end{array}

So we need to find the equation of a line whose slope is \frac{1}{3} and passing through (-3,1)

Equation of line passing through (x_1 , y_1) and having lope of m is given by

\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)

\text { In our case } x_{1}=-3 \text { and } y_{1}=1 \text { and } \mathrm{m}=\frac{1}{3}

Substituting the values we get,

\begin{array}{l}{(\mathrm{y}-1)=\frac{1}{3}(\mathrm{x}-(-3))} \\\\ {=>\mathrm{y}-1=\frac{1}{3} \mathrm{x}+1} \\\\ {=>\mathrm{y}=\frac{1}{3} \mathrm{x}+2}\end{array}

Hence the required equation of line is found using slope intercept form

4 0
3 years ago
Convert 13.025 to base 10​
Lilit [14]

Answer:

Your question is in what base please?

8 0
3 years ago
A string of decorative lights is 25 feet long. The first light on the string is 16 inches from the plug. The lights on the strin
joja [24]
25 feet = 25 x 12 = 300 inches

First light is at 16 inches.
300 - 16 = 284 inches

Find the rest of the bulbs:
284 ÷ 4 = 71

Total number of lights = 71 + 1 = 72

Answer  72 lights
8 0
3 years ago
7r-5r+8=9r+8-r translate to an equation, then solve
pshichka [43]

Answer:

r=0

Step-by-step explanation:

7r-5r+8=9r+8-r

This is already an equation

Combine like terms

2r+8 = 8r+8

Subtract 2r from each side

2r-2r +8 = 8r-2r +8

8 =6r+8

Subtract 8 from each side

8-8 = 6r+8-8

0 = 6r

Divide by 6

0/6 = 6r/6

0 =r

7 0
3 years ago
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