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lara [203]
3 years ago
15

Helppppp aceeee/expertttsss quickkkk

Mathematics
1 answer:
baherus [9]3 years ago
8 0
Point A would be the answer because...
The distance between A and C is point B, which doesn't land on -2
Point A lands on -2.
The distance between A and D would be points B and C, both don't land on -2.
The opposite of -2 would be positive 2 and thats point D.
I hope this helps love.
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A curve is given by y=(x-a)√(x-b) for x≥b, where a and b are constants, cuts the x axis at A where x=b+1. Show that the gradient
ankoles [38]

<u>Answer:</u>

A curve is given by y=(x-a)√(x-b) for x≥b. The gradient of the curve at A is 1.

<u>Solution:</u>

We need to show that the gradient of the curve at A is 1

Here given that ,

y=(x-a) \sqrt{(x-b)}  --- equation 1

Also, according to question at point A (b+1,0)

So curve at point A will, put the value of x and y

0=(b+1-a) \sqrt{(b+1-b)}

0=b+1-c --- equation 2

According to multiple rule of Differentiation,

y^{\prime}=u^{\prime} y+y^{\prime} u

so, we get

{u}^{\prime}=1

v^{\prime}=\frac{1}{2} \sqrt{(x-b)}

y^{\prime}=1 \times \sqrt{(x-b)}+(x-a) \times \frac{1}{2} \sqrt{(x-b)}

By putting value of point A and putting value of eq 2 we get

y^{\prime}=\sqrt{(b+1-b)}+(b+1-a) \times \frac{1}{2} \sqrt{(b+1-b)}

y^{\prime}=\frac{d y}{d x}=1

Hence proved that the gradient of the curve at A is 1.

7 0
3 years ago
Pls pls help<br> Show work :)
Natasha2012 [34]

9514 1404 393

Answer:

  31.243 units

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.

  Sin = Opposite/Hypotenuse

  sin(30°) = BE/100

  BE = 100·sin(30°)

Then ...

  Tan = Opposite/Adjacent

  tan(58°) = BE/x

  x = BE/tan(58°) = 100·sin(30°)/tan(58°)

  x ≈ 31.243 . . . . units

_____

<em>Comment on the figure</em>

The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.

5 0
3 years ago
The mean of a population being sampled is 64, and the standard deviation is 6. If the sample size is 50, the standard error of t
Serjik [45]
Given:
mean = 64
standard deviation = 6
sample size = 50

Standard error of the sample mean = standard deviation / √sample size

Standard error = 6 / √50 = 6/7.07 =<span> 0.85</span>
8 0
3 years ago
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Kyla is hiking. She comes to this marker at a fork in the trail. Which of these gives the same distance to Cascade Falls? A 0.35
bija089 [108]

Answer:

Option B

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Step-by-step explanation:

Considering the picture attached, the distance to Cascade Falls is written in mixed fraction and the question wants it expressed in decimal. \frac {1}{2} is same as 1 divided by 2 which is 0.5 hence the fall is 3+0.5=3.5 miles

6 0
3 years ago
A projected image appears as an isosceles trapezoid.
Komok [63]
7x + 4 + 9x = 180
16x = 176
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9x = 9x11 = 99
7x + 4 = 7(11) + 4 = 77 + 4 = 81

<span>in order to form a rectangular image, each angle needs to be equal 90 degreesn

99 - 9 = 90
81 + 9 = 90

answer

</span><span>B. 9°</span>
6 0
3 years ago
Read 2 more answers
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