Given GH with endpoints (-7,3) andH (7. - 11), what are the coordinates of the
mielpoint of GH?

Answer:

[tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]

Step-by-step explanation:

The equation of the curve is

[tex]Y = sin^{-1}(7x)[/tex]

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

[tex]Y'=\frac{7}{\sqrt{1-49x^2} }[/tex]

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is  [tex]x = \sqrt{\frac{1}{7} }[/tex]

Then slope would accordingly be

[tex]Y'=\frac{7}{\sqrt{1-49/49} }[/tex]

= ∞

For, [tex]x = \sqrt{\frac{1}{7} }[/tex], [tex]Y = sin^{-1}(7/7)= \pi/2[/tex]

Equation of tangent line, in the point slope form, would be [tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]

To solve this problem, we simply need to plot the cosine graph.

The graph of cosine can easily be plotted and we can compare both together.

Kindly check the attached image and we can easily see the graph of

is option A.

Comparing the asymptotes together, it reveals more information on that.

Learn more on graph of cosine here;

https://brainly.com/question/20700450

#SPJ2

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

B. 27 square units

Step-by-step explanation:

Area of ∆LMN = ½(base*height)

base = MN = 6 units

height = distance from L to MN = 9 units

Plug in the values into the formula

Area of ∆LMN = ½(6*9)

Area = ½(54)

Area = 27 square units

Answer:

The single transformation that takes shape 'p' onto shape 'q' is a dilation by a scale factor of 3 with the center point (1, 0)

Step-by-step explanation:

The coordinates of the vertices of shape ΔP are;

A(2, 3), B(2, 1), C(3, 1)

The length AB = 3 - 1 = 2

The length CB = 3 - 2 = 1

∴ The length AC = √(2² + 1²) = √5

The coordinates of the vertices of shape ΔQ are;

A'(4, 9), B'(4, 3), C'(7, 3)

The length A'B' = 9 - 3 = 6

The length C'B' = 7 - 3 = 3

∴ The length A'C' = √(6² + 3²) = √(45) = 3·√5

∴ Figure Q ΔA'B'C' is a dilation of figure P ΔABC by a scale factor of A'B'/AB = 6/2 = 3

The distance of point B(2, 1) from the point (1, 0) = √((2 - 1)² + 1²) = √2

The distance of point B'(4, 3) from the point (1, 0) = √((4 - 1)² + 3²) = 3·√2

Therefore, the distances of points on figure Q from (1, 0) = 3 × the distances of points on figure from (1, 0)

Therefore, figure 'Q' can be obtained from figure 'P' by a dilation of figure 'P' by a scale factor of 3 with the center of dilation at point (1, 0).

Answer:

8

Step-by-step explanation:

Lines have angles that are equal to 180. Therefore, because we already have 140 of the 180 necessary, we can subtract 140 from 180 to get 40. 40 divided by 5 is 8.

Hope that this helps!

Answer:

I. x=8

Step-by-step explanation:

lines form 180° angles so

140 +5x= 180 ; subtract 140 from both sides

5x= 180-140; divide both sides by 5

x= 40/5 = 8

Answer:

Option 4

Step-by-step explanation:

[tex]5( \frac{1}{3} x + 7) - 3( \frac{1}{2} x - 4)[/tex]

[tex] \frac{5}{3} x + 35 - \frac{3}{2} x + 12[/tex]

[tex] \frac{5}{3} x - \frac{3}{2} x + 35 + 12[/tex]

[tex]2 \times 5x - 3 \times 3x \div 3 \times 2 + 47[/tex]

[tex] \frac{10x - 9x}{6} + 47[/tex]

[tex] \frac{x}{6} + 47[/tex]

Answer:

Solution given:

5(⅓x+7)-3(½x-4)

distribute it

[tex] \frac{5}{3} x+35-\frac{3}{2}x+12[/tex]

[tex] \frac{5}{3} x-\frac{3}{2}x+35+12[/tex]

[tex] \frac{5*2-3*3}{3*2} x+47[/tex]

[tex] \frac{1}{6} x+47[/tex] is a required answer.

Answer:

32y² + 7

Step-by-step explanation:

To evaluate g(4y) substitute x = 4y into g(x) , that is

g(4y) = 2(4y)² + 7 = 2(16y²) + 7 = 32y² + 7

Answer:

25x^2 + 30x + 9

Answer:

120

Step-by-step explanation:

20 * 5 = 100 so we multiply 24 by 5 and that equals 120

Answer:

Answer: 3 feet

Step-by-step explanation:

Here's the complete question:

The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.

Note that Volume of a cylinder = πr²h

where Volume = 235.6 feet³

Radius = 5 feet

Height = Unknown

Then, we put the values back into the question and this will be:

V = πr²h

235.6 = 3.14 × 5² × h

235.6 = 3.14 × 25 × h

235.6 = 78.5 × h

h = 235.6 / 78.5

h = 3 feet

The height is 3 feet

Step-by-step explanation:

Answer:

To find X you'll need this formula Tan 30, and this one to find y cos 30.

Step-by-step explanation:

tan 30 = 9 / x.

tan 30*x = 9

x = 9 / tan 30

x = 15.58

To find y, the value of X will be needed, which is 15.5 that we just found.

Cos= A/H

Cos 30 = 15.58/ y

Cos 30 * y = 15.58

y = 15.58/ cos 20

y = 17.99

Answer:

The pythagorean theorem is a^2 + b^2 = c^2

Step-by-step explanation:

Not sure what you're asking! Sorry! :)

Answer:

162

Step-by-step explanation:

189-11=178

178-7=171

171-6=165

165-3=162

Answer:

first one

Step-by-step explanation:

Answer:

It will be the first answer, Both balls will at the same rate

Answer:

similar but i dont know which one sorry

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

the correct answer is 5 snowmen

Answer:

Solution given:

Since it is a isosceles trapezoid so it diagonal will be congruent so

PR=QS

PT+RT=12cm

4.9+RT=12cm

RT=12-4.9

RT=7.1cm

PS=QR

QR=9cm

m<QPR=44° base angle of isosceles triangle

m<PTQ=180°-44-44=92°[interior angle remaining of traingle]

m<STR=m<PTQ

m<STR=92°

Answer:

x = 2

z = 118

Step-by-step explanation:

The angle with a measure of 118° and the angle labeled "x" are vertical angles

As we know, vertical angles are congruent

Thus, because x's vertical angle equals 118° x also equals 118°

The angle with a measure of 118° and the angle labeled by the expression ( 12x + 38 ) are supplementary angles

Supplementary angles add up to equal 180

Thus, 12x + 38 + 118 = 180

                         ^Note that this is the equation we will use to solve for x

12x + 38 + 118 = 180

step 1 combine like terms

118 + 38 = 156

we now have 12x + 156 = 180

step 2 subtract 156 from each side

156 - 156 cancels out

180 - 156 = 24

we now have 24 = 12x

step 3 divide each side by 12

12x / 12 = x

24 / 12 = 2

we're left with x = 2

Answer:

whats the question...

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Using Pythagoras' identity in right triangle BPO

with PB = 4 ( half of AB ) and OB = 5 ( radius of circle )

OP² + 4² = 5²

OP² + 16 = 25 ( subtract 16 from both sides )

OP² = 9 ( take the square root of both sides )

OP = [tex]\sqrt{9}[/tex] = 3

Answer:

A

Step-by-step explanation:

In a box plot, interquartile range (IQR) can be used to describe the spread of any given data.

IQR = Q3 - Q1

✔️IQR for Town A:

Q3 = 40

Q1 = 20

IQR = 40 - 20 = 20°

✔️IQR for Town B:

Q3 = 30

Q1 = 20

IQR = 30 - 20 = 10°

We can conclude that the IQR for town A, 20°, is greater than the IQR for town B, 10°.

Answer:

2/45

Step-by-step explanation:

We are told that:

A jar contains 2 orange, 4 green, 2 white and 2 black balls.

The total number of balls in the jar is calculated as:

2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls

The probability of drawing an orange ball = P(Orange) = 2/10

The probability of drawing a black ball = P(Black) = 2/10

Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:

2/10 × 2/9 = 4/90

= 2/45

Answer:

140

Step-by-step explanation:

Answer:

14.67

Step-by-step explanation:

Mr. James will solve the equation 150x = 2200 for x in one step. Which proportion is the MOST appropriate step for Mr. James to use?

We have the Equation

150x = 2200

Divide both sides by 150

150x/150 = 2200/150

x = 14.666666667

Approximately x= 14.67

Answer:

divide each side by 150

Step-by-step explanation: