Find the equation of the axis of symmetry in the coordinates of the vertex of the graph of the function y=4x^2-8x-3

Dennis_Churaev [7]

Answer:

~ m∠1 = 35 degrees ( ° ) ~

Step-by-step explanation:

1. This pair of intersecting lines form four pairs of supplementary angles, which may be one approach to this problem.

2. This first pair includes the 145 degree angle, which we may assign as 4, and angle 1, the second being 2 and 1, 2 and 3, and 3 and 145 degrees.

3. If we were to consider the first pair of supplementary angles, it would be that 145 + m∠ 1 = 180, or ⇒ m∠1 = 180 - 145 = 35 degrees ( ° )

4. To confirm that this is the right answer, let us prove that with this measure of ∠1 the intersecting lines = 360 degrees, as after all they form a circle.

5. By Vertical Angles Theorem: m∠2 = m∠4, and m∠3 = m∠1

6. It is provided that m∠4 = 145 degrees ( ° ) and m∠1 = 35 degrees ( ° ). Given such let us substitute these values into Step #5, as such ⇒ m∠2 = 145°, and m∠3 = 35°

7. The sum of the angles are known to 360 degrees, as provided previously, such that m∠1 + m∠2 + m∠3 + m∠4 = 360°, ⇒ 35 + 145 + 35 + 145 = 360, ⇒ 360 = 360

8. This proves that the m∠1 = 35 degrees ( ° )

8 0

3 years ago

The mean, median, and mode are all measures of central tendency. The mean is usually the preferred measure of central tendency,

padilas [110]

Answer and explanation:

1. It is commonly referred to as the arithmetic average: the mean measure of central tendency is also referred to as the arithmetic mean or arithmetic average or just average.

It is algebraically defined (that is, there is an equation you can use to calculate its value): the mean can be represented by the algebraic equation

a1+a2+a3...ai/n

2. There can be more than one median where there are an even number of data points and not odd number, in which the two middle number are divided by 2

It can be found when there are undetermined scores: median can be found with undetermined scores

3. It corresponds to an actual score in the data: the mode is an actual value in the data that appears more frequently than other values

There can be more than one: there can be more than one mode(bimodal,trimodal,multimodal) where 2 or more values appear the same number of times

6 0

2 years ago

In a group of 28 students, 12 study both Art and Biology.

MAVERICK [17]

Answer:

100%

Step-by-step explanation:

Use conditional probability:

P(B | A) = P(B and A) / P(A)

P(B | A) = (12/28) / P(A)

We need to find the probability that a student studies art.

P(A or B) = P(A) + P(B) − P(A and B)

24/28 = P(A) + (12+12)/28 − 12/28

P(A) = 12/28

P(B | A) = (12/28) / (12/28)

P(B | A) = 1

What this means is that all of the students who study art also study biology.

3 0

3 years ago

By order of operations PEMDAS the answer to 6*6/2(3)+4 can not be 58. Help me to understand better because I'm really good at ma

notsponge [240]

No, your answer is correct. 58

7 0

3 years ago

EASY MATH!!! GIVING BRAINLIEST!!

musickatia [10]

Answer:

55

Step-by-step explanation:

So lets take our 50 dollars.

Next, take your increase of 5%. Remember, 5% is 0.05, and it is a increase of 5%, so we are multipling 50 by 1.05.

Before we start multiplying, lets recall that this occurs twice(2 years), but this doesnt mean we multiply 50 by 1.10. No, we just mutiply 50 by 1.05 2 times:

50*1.05

=

52.5

52.5*1.05

=

55.25

So your answer is 55 dollars(rounding down).

Hope this helps!

4 0

2 years ago