Length of tangent line - geometry please help

Answer

Attach a file for us to see the problem

Step-by-step explanation:

9514 1404 393

Answer:

  B.  x = 2

Step-by-step explanation:

The graph is symmetrical about the vertical line through its vertex. The x-value of that vertex is 2, so the line of symmetry is ...

  x = 2

Step-by-step explanation:

Correct option is

B

x

2

−y

2

+2xy

dx

dy

=0

The system of circles touching Y axis at origin will have centres on X axis. Let (a,0) be the centre of a circle. Then the radius of the circle should be a units, since the circle should touch Y axis at origin.

Equation of a circle with centre at (a,0) and radius a

(x─a)²+(y─0)²=a²

That is,

x²+y²─2ax=0 ─────► (1)

The above equation represents the family of circles touching Y axis at origin. Here 'a' is an arbitrary constant.

In order to find the differential equation of system of circles touching Y axis at origin, eliminate the the arbitrary constant from equation(1)

Differentiating equation(1) with respect to x,

2x+2ydy/dx─2a=0

or

2a=2(x+ydy/dx)

Replacing '2a' of equation(1) with the above expression, you get

x²+y²─2(x+ydy/dx)(x)=0

That is,

─x²+y²─2xydy/dx=0

or

x²─y²+2xydy/dx=0

Answer:

hsv s deutsche ki bhar ke dekhte hai mera gham na

Answer:

y is not a function of x

Step-by-step explanation:

This fails the vertical line test. This means that not all inputs have exactly one output. This makes this not a function.

Answer:

i don't understand the question

Answer:

A

Step-by-step explanation:

I just used a graphing calculator.

Just type in all the functions and pick the graph and function pair that match the picture.

I hope this helps!

pls ❤ and mark brainliest pls!

Assuming you want x to approach negative infinity, you have the correct answer. It is choice A.

=====================================================

Explanation:

The root x = -2 leads to the factor x+2. That means the answer is between A and B.

As x approaches negative infinity, i.e. as we move to the left, we're going down the red curve and y = f(x) is going to approach negative infinity as well.

In terms of symbols, we'd write [tex]x \to -\infty, \ f(x) \to -\infty[/tex]

Informally, we could say "it falls to the left" as a way to describe this left end behavior.

9514 1404 393

Answer:

  x = 100°

  y = 95°

Step-by-step explanation:

It is probably easier to find y first. Opposite angles of an inscribed quadrilateral are supplementary, so ...

  y = 180° -85° = 95°

The measure of an arc is double the measure of the inscribed angle subtending it. The arc subtended by angle y is ...

  90° +x = 2y

  x = 190° -90° = 100°

_____

Additional comment

The rule cited above regarding opposite angles of an inscribed quadrilateral comes from the theorem regarding inscribed angles. In the given diagram, the diagonal from the bottom vertex to the top one is a chord that divides the circle into two arcs. Their sum is 360°. The inscribed angle theorem tells you ...

  2y +2(85°) = 360°

  y + 85° = 180° . . . . . . . divide by 2; opposite angles are supplementary

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is unclear from the phrasing what dimension 8.2 ft represents.

If 8.2 ft is the direct distance from the edge of the roof to the top of the pitch, then the horizontal distance from the edge to the top is √(8.2²-2.4²) ≅ 7.84 ft, and the slope is 2.4/7.84 ≅ 0.31

If 8.2 ft is the horizontal distance from the edge of the root to the top of the pitch, then the slope is 2.4/8.2 ≅ 0.29

The slope of a roof on a house is 0.2926 and the angle of elevation is 16.31°.

The slope or gradient of a line is a number that describes both the direction X and Y and the steepness of the line. It is the ratio of the vertical change to the horizontal change between any two distinct points on a line.

For the given situation,

The diagram below shows the house with the roof.

The vertical height of roof on a house, rise = 2.4 feet

The horizontal length of a roof on a house, run = 8.2 feet

The slope of a roof can be found as

[tex]Slope = \frac{rise}{run}[/tex]

⇒ [tex]slope = (\frac{2.4}{8.2} )[/tex]

⇒ [tex]slope = 0.2926[/tex]

The angle of the slope of a roof can be found as

[tex]tan \alpha =\frac{vertical height}{horizontal length}[/tex]

⇒ [tex]\alpha =tan^{-1} (\frac{2.4}{8.2} )[/tex]

⇒ [tex]\alpha =tan^{-1} (0.2926)[/tex]

⇒ [tex]\alpha =16.31[/tex]

Hence we can conclude that the slope of a roof on a house is 0.2926 and the angle of elevation is 16.31°.

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Answer:

115.625

PRT/100

Answer:

strange phrasing of a question

If one assumes that the "observation" was from 3:00 pm - 5:00 pm (2 hours)

and the ball was ONLY "bounced" 10 times (3+7)

we can can say that the rate was 10 bounces/2 hours or 5 b.p.h. (bounces per hour)

Step-by-step explanation:

Answer: About 63 in²

Step-by-step explanation:

Area of circle = π · r²

Area of large pizza:

[tex]\pi *r^{2} =3.14*6^{2} =3.14*36=113.04[/tex]

Area of small pizza:

[tex]\pi *r^{2} =3.14*4^{2} =3.14*16=50.24[/tex]

Difference in area:

[tex]113.04-50.24=62.8[/tex]

Answer:

Hello,

|FD|=15

Step-by-step explanation:

Since the triangles are similar, the bissects are also.

k*35=21 ==> k=21/35

k*25=|FD|

|FD|=(21/35)*25=15

Answer:

3 cups of sugar per 2 cups of flour

Step-by-step explanation:

just flip and simplify the fraction

4/6 = 6/4 = 3/2

9514 1404 393

Answer:

Step-by-step explanation:

The result each should have obtained is ...

  a +10 = 17

  a = 7

Braulio's mistake was in using 1 as his divisor instead of -1. His bottom row should have been 1, 4, a-4, 1-a, a +10.

Zahra's mistake was improperly evaluating higher powers of -1. Her evaluation should have been 1 -5 +a +3 +11 = a +10.

Answer:

2342560 combos

Step-by-step explanation:

so its 1 letter*1number*1 letter*1 letter*1 letter, or 22x10x22x22x22 which should equate to 2342560 possible ID codes, hope this helps :)

Answer:

280.8997

Step-by-step explanation:

cross section = 2*15*5+2*(25/360)*15*15*pi+5*(25/360)*2*pi*15

= 280.8997

Total surface area of prism is 280.890cm²

A solid object's surface area is a measurement of the overall space that the object's surface takes up, and it is always expressed in square units.

The term "surface area" is sometimes used to refer to "total surface area".

Find the sector angle in radians

α = 25× (π/180)

α = (25π)/(180) rad

Find the area of the prism:

A = 2×15×5 + 15×15×α + 5×15×α

A = 150 + 15×15×(25π)/(180) + 5×15×(25π)/(180)

A = 280.890cm²

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Answer:

Both expressions should be evaluated by substituting with one value for x. If the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

its B

Option (D) both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent is the correct answer.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

The expressions are [tex]4x-x+5 , 8-3x-3[/tex]

If the expressions are equivalent then,

⇒ [tex]4x-x+5 = 8-3x-3[/tex]

⇒ [tex]3x+5=-3x+5[/tex]

In both the sides the x has different values.

So, Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Hence we can conclude that option (D) both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent is the correct answer.

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Answer:

A. 5(1 + 2x) + 1 + 2x

D. 7(1 + 2x) - 2x - 1

E. 3(2 + 4x)

Megan’s plant grew at a faster rate, Growing at a rate of  3 inches per week.

The y-rate axis of change with respect to the x-axis is known as the slope.

y = mx + b, where slope = m and y-intercept = b, is the slope-intercept form equation of a line.

We are aware that a slope's graph or rate of change will be steeper the higher its absolute value.

Given, Megan and Suzanne each have a plant. They track the growth of their plants for four weeks.

From the given options, Megan's plant which is growing at a rate of 3 inches per week has a faster growth rate.

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Answer: 4,989,600 different ways

Step-by-step explanation:

Answer:

Need more explation of the question

Step-by-step explanation:

Answer:

35 cm

Step-by-step explanation:

You can use the Cosine Rule to find the length of a side when two sides and the included angle are given.

a² = b² + c² - 2bc cos A

a² = (36²) + (52²) - 2(36)(52) cos 42°

a² = (1296) + (2704) - (3744)(0.7431448255)

a² = (4000) - (2782)

a² = 1218

a = ✓1218

a = 34.9 cm

Answer:

A. [tex]\frac{5}{13}[/tex]

Step-by-step explanation:

Hi there!

We are given right triangle PQR, with PR=5, RQ=12, and PQ=13

We want to find the value of sin(Q)

Let's first recall that sine is [tex]\frac{opposite}{hypotenuse}[/tex]

In reference to angle Q, PR is the opposite side, RQ is the adjacent side, and PQ is the hypotenuse

So that means that sin(Q) would be [tex]\frac{PR}{PQ}[/tex]

Substituting the values of PR and PQ gives sin(Q) as [tex]\frac{5}{13}[/tex], which is A

Hope this helps!

Answer:

31 = 16²-15²

Step-by-step explanation:

16² = 256

15² = 225

256 - 225 = 31

Answer:

[tex]y = \sqrt{x - 5} + 7[/tex]