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1 year ago

In the circle below, if arc AB = 104 ° and arc CD = 26 °, find the measure of < BPA.

Mathematics

1 answer:

Alexxandr [17]1 year ago

4 0

The answer is B 30 degrees

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What is the vertex of g(x) = –3x2 + 18x + 2?

blsea [12.9K]

Answer:

$(3,29)$

Step-by-step explanation:

There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is $x=\frac{-b}{2a}$

We have the function $g(x)=-3x^2+18x+2$

From this function, we can find that

$a=-3\\b=18\\c=2$

We can plug in our know values into the formula to get

$x=\frac{-18}{2(-3)\\} \\x=\frac{-18}{-6} \\\\x=3$

Then we can plug in our x-value to find the y-value of the vertex

$g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29$

This means that the vertex would be $(3,29)$

6 0

3 years ago

Mr White can travel for 6 hours while taking 3 breaks of 10 minutes each. Once, he had to travel for 36 hours. How many minutes

alexgriva [62]

180 min

Explanation:

3 × 10 min = 30 min

In 6 hours, Mr. White takes a total of 30 min in breaks.

36 h = 6 h × 6

In 36 hours , there are 6 sets of 6 h .

Hence we can multiply the number of minutes in breaks taken in

6 h ours by 6 to obtain the number of minutes in breaks taken in 36 h ours.

30 min × 6 = 180 min

5 0

2 years ago

Find the distance between a and b

nataly862011 [7]

THE DISTANCE IS 7 UNITS

8 0

2 years ago

What if there is more than one variable?

Nadya [2.5K]

Answer:

a10 b10

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

4. Which of the following lines is perpendicular to y = -2X + 8?

Alenkinab [10]

For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1.

That is to say:

$m_ {1} * m_ {2} = - 1$

We have the following equation:

$y = -2x + 8$

So:

$m_ {1} = - 2$

Thus:

$m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {- 2}\\m = \frac {1}{2}$

Thus, a line perpendicular to the given line must have slope $m = \frac {1} {2}.$

Option A:

$x + 2y = 8\\2y = -x + 8\\y = - \frac {1} {2} x + 4$

It is not perpendicular!

Option B:

$x-2y = 6\\2y = x-6\\y = \frac {1} {2} x-3$

If it is perpendicular!

Option C:

$2x + y = 4\\y = -2x + 4$

It is not perpendicular!

Option D:

$2x-y = 1\\y = 2x-1$

It is not perpendicular!

The correct option is option B

ANswer:

Option B

5 0

3 years ago