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sergij07 [2.7K]

3 years ago

7

What is an equation of the line that is perpendicular to y=−3/4x+6 and passes through the point (3, 9) ?

2 answers:

irga5000 [103]3 years ago

5 0

Two straight lines perpendicular to each other, the slope of which is negative reciprocal.

y=-4/3x+b

The known points are put into the linear equation

y=-4+b

b=13

y=-4/3x+13

Dimas [21]3 years ago

4 0

First, put the equation of the line given into slope-intercept form by solving for y. You get y = 2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.

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4/9+5/6 what is it?HELP!

stiv31 [10]

Answer:

1 5/18

Step-by-step explanation:

4/9 = 8/18

5/6 = 15/18

15/18 + 8/18 = 23/18 = 1 and 5/18

7 0

3 years ago

What is the slope of the line passing through the points (2, 5) and (0, −4)?

Alexus [3.1K]

Plug the two points into the slope formula.

m = y2-y1/x2-x1

m = (-4 - 5)/(0 - 2)

m = -9/-2

m = 4.5

So the slope is 4.5

7 0

3 years ago

Which expression can be used to find the volume of the sphere?

Kryger [21]

Answer:

They used 3.14 for pi:

$V=\frac{4}{3} \pi r^3$

$V=\frac{4}{3} (3.14)(5)^3$

Step-by-step explanation:

$V=\frac{4}{3}\pi r^3$ is the volume of a sphere with radius r.

I think that is the diameter given in the picture.

The radius is half the diameter.

So the radius is 5 since the diameter is 10.

Plug in this gives you:

$V=\frac{4}{3} \pi (5)^3$

4 0

3 years ago

Read 2 more answers

What are the next four terms in the following arithmetic sequence? (-7), (-2), 3, 8,... A. 18, 23, 28, 33 B. 13, 18, 23, 28 C. 8

Triss [41]

Ok..ur adding 5 each time to get the next term
so the next 4 terms are : 13, 18, 23, 28

5 0

3 years ago

If a person tosses a coin 23 times, how many ways can he get 11 heads

EastWind [94]

Tossing a coin is a binomial experiment.

Now lets say there are 'n' repeated trials to get heads. Each of the trials can result in either a head or a tail.

All of these trials are independent since the result of one trial does not affect the result of the next trial.

Now, for 'n' repeated trials the total number of successes is given by

$_{r}^{n}\textrm{C}$

where 'r' denotes the number of successful results.

In our case $n=23$ and $r=11$ ,

Substituting the values we get,

$_{11}^{23}\textrm{C}=\frac{23!}{11!\times 12!}$

$\frac{23!}{11!\times 12!}=1352078$

Therefore, there are 1352078 ways to get heads if a person tosses a coin 23 times.

3 0

3 years ago