Calculate the median of 5,10,12,4,6,11,13,15

Which angle is supplementary to DBE? A. DBC B. DBA C. EBH D. BGH

Degger [83]

It is B because angle DBA is supplementary to angle DBE because together they create a straight line which equals 180 degrees.

4 0

2 years ago

Consider the parabola y = 5x − x2. (a) find the slope m of the tangent line to the parabola at the point (1, 4).

kkurt [141]

The tangent line to a curve is the one that coincides with the curve at a point and with the same derivative, that is, the same degree of variation.
We have then:
y = 5x-x²
Deriving:
y '= 5-2x
In point (1, 4)
The slope is:
y (1) '= 5-2 * (1)
y (1) '= 3
The equation of the line will be:
y-f (a) = f '(a) (x-a)
We have then:
y-4 = 3 (x-1)
Rewriting:
y = 3x-3 + 4
y = 3x + 1
Answer:
the tangent line to the parabola at the point (1, 4) is
y = 3x + 1
the slope m is
m = 3

7 0

3 years ago

Help i dont know what it is if i get one more wrong i dont pass the level

Semenov [28]

Answer:

blue and green because parallel means two lines that will never cross

3 0

2 years ago

Which geometric series diverges? Three-fifths three-tenths three-twentieths StartFraction 3 Over 40 EndFraction ellipsis Negativ

Sholpan [36]

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

$\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}$

<h3>What is geometric series diverges? </h3>

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

$a+ar+ ar^2+ ar^3+...$

Here,

is the (a) first term of the sequence, and (r) is the common ratio.

To be a series as geometric series diverges, it should follow,

$|r| > 1$

First option given as,

3/5+3/10+3/20+3/40+ ...

Here, the common ratio is,

$r=\dfrac{\dfrac{3}{10}}{\dfrac{3}{5}}\\r=\dfrac{1}{2}$

The common ratio is less than one. Thus option a is not correct.

First option given as,

-10+4-8/4+18/25- ...

Here, the common ratio is,

$r=\dfrac{4}{-10}\\r=\dfrac{-2}{5}$

For the option number two the common ratio is (-2/5) which is less than 1. This option is also not correct.

In the option number c, the value of common ratio is -4. The absolute value of common ratio is,

$|r|=|-4|\\|r|=4$

The absolute value of this common ratio is more than one. Thus, this is the correct option.

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

$\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}$

Learn more about the geometric sequence here;

brainly.com/question/1509142

7 0

2 years ago

The length of the shadow of a pole on level ground increase 90m, when the angle of elevation of the sum changes from 58-38.calcu

bazaltina [42]

Answer: h = 137.4 metres

Step-by-step explanation:

Given that the length of the shadow of a pole on level ground increase 90m, that is, (x + 90)m will be the total length of the shadow. Also we are given that the angle of elevation of the sum changes from 58-38.

To calculate the height, we will employ trigonometry ratio. SohCahToa which are: tan 58 and tan 38.

Please find the attached files for the solution

8 0

3 years ago