Find the value(s) of x where the tangent to the graph of y=e^5x is parallel to the
line 10x + y = 17

Answer:

l.y=4

m.y=-2x+4

n.1x-1

p.x=-4

Step-by-step explanation:

The equations of the lines given in the graph will be,

y = x - 1

y = -2x +4

y = 4

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

For line one the points are:-

( 3,2 ) and ( 1,0)

Slope = ( 0 -2 ) / ( 0 - 3 )

Slope = 1

The equation will be,

y = x + c

0 = 1 + c

c = -1

For line two the points are:-

(0,4) and (2,0),

Slope = ( 0 - 4 ) / ( 2 - 0 )

Slope = -2

The y-intercept will be,

y = mx +c

y = -2x + c

c= 4

The equation can be written as:-

y = -2x +4

The equation of the line parallel to x-axis is,

y = 4

To know more about an equation of the line follow

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#SPJ2

Answer:

the picture is not clear

Step-by-step explanation:

Answer:

1). Simplify the expression.

Exact Form:

( [tex]\frac{37}{25}[/tex] )

Decimal Form:

1.48

Mixed Number Form:

( [tex]1\frac{12}{25}[/tex] )

2). Simplify the expression.

91.46

3). Simplify the expression.

Exact Form:

[tex]\frac{17}{24}[/tex]

Decimal Form:

0.7083  ( bar notation)

4). Simplify the expression.

81.49

Answer:

y=6x-1

Step-by-step explanation:

6x - y = -1

-y = -1 -6x

y = 6x+1

Answer:

y = 6x + 1

Step-by-step explanation:

hope it helps

should I show steps?

Answer:

R.I.P

Step-by-step explanation:

goodluck doing that

Answer:

somos

Step-by-step explanation:

somos means us

Ricardo and us

Answer:

-0.37

-2.86

0.91

0.19

1.46

Step-by-step explanation:

Answer:

a. 5

Step-by-step explanation:

Given that Sophia bought 3 bags of candy, and each bag has 15 pieces:

[tex]3*15 = 45[/tex]

Sophia has 45 total pieces of candy.

If Sophia would like to fill 9 party bags with the candy she has bought, she must divide the 45 total pieces of candy into the 9 party bags:

[tex]45[/tex] ÷ [tex]9=5[/tex]

Therefore, each party bag will have 5 pieces of candy in it.

Answer:

A. 5

Step-by-step explanation:

A, since you can follow these steps:

First, find how many total pieces of candy must be distributed. This is always what needs to be answered in this sort of question.

In this case, it is 3 bags of candy ⋅ 15 pieces of candy in each.

The result - from 3(15) - is 45 total pieces of candy.

Now, we see that we're distributing that value among 9 people (this is another correct way of wording it).

So the result is 45/9, which then results in 5 pieces of candy for 9 guests.

I hope this helped a bunch! Tell me if you need any further assistance...

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Answer:

I think the common difference is 2. The formula to create the sequence is n (number) is multiplied by 2.

1 x 2 = 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

16 x 2 = 32

32 x 2 = 64

64 x 2 = 128

128 x 2 = 256  

256 is the 8th term of the sequence. Since your question says that we should look for the sum, add the number of the sequence I guess.  

2 + 4 +8 + 16 + 32 + 64 + 128 + 256 = 510

Answer:

c 15.9 m

Step-by-step explanation:

you are welcome

What? hold up my brain hurts! you made me confused!!

Answer:

There are no leaves in the winter except on evergreens and those are green.

Step-by-step explanation:

The given question is on trigonometry which requires the application of required function so as to determine the value known. So that the length of the guy wire is 67.0 feet.

Trigonometry is an aspect of mathematics that requires the application of some functions to determine the value of an unknown quantity.

Let the length of the guy wire be represented by l, and the angle that the guy wire makes with the stake be θ. So that applying the appropriate trigonometric function to determine the value of θ, we have:

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

          = [tex]\frac{11}{4}[/tex]

Tan θ = 2.75

θ = [tex]Tan^{-1}[/tex] 2.75

  = 70.0169

θ = [tex]70^{o}[/tex]

Considering triangle formed by the tower and the stake to determine the value of l, we have;

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos [tex]70^{o}[/tex]  = [tex]\frac{23}{l}[/tex]

l = [tex]\frac{23}{Cos 70^{o} }[/tex]

 = [tex]\frac{23}{0.3420}[/tex]

l = 67.2515

l = 67 feet

The length of the guy wire is 67 feet.

For more on trigonometric, check: https://brainly.com/question/6459892

Answer:

Obtuse or right angle

Step-by-step explanation:

Also you should stop making your question worth so many points

Answer:

I think it might be 4.

Step-by-step explanation:

:)

I found something that says 6x or something if that helps?

I hope you get it right!!!

Answer:

Opposite: Line SQ

Adjacent: Line SR

Hypotenuse: Line RQ

Step-by-step explanation:

Answer:

perimeter=32t units

Step-by-step explanation:

let:

a=8t-2

b=8t+2

perimeter=2(a+b)

Subtitute values of a and b:

=2(8t-2+8t+2)

=2(16t)

=32t units

Answer:

Collect as many ants as you can with the container you have provided. A excellent approach to do this is to sprinkle some sugar or bread crumbs in a container and position it near the ant nest, where the ants will gather. A reasonable starting point is about 100.

Step-by-step explanation:

Hope it helps:)

Answer:

the answer is 7 + 3 . 5

Step-by-step explanation:

Answer:

540km/hr

Step-by-step explanation:

8.4km/min×60min/km

=8.4/60

=540km/hr

Answer:

1034

Step-by-step explanation:

Answer:

1034

Step-by-step explanation:

Answer:

the circumstance is 194.78

Answer:

41.67

Step-by-step explanation:

Using the tangent on the stick with shadow:

tan(θ) = [tex]\frac{1}{0.6}[/tex]

Using the tangent on the building:

tan(θ) = [tex]\frac{h}{25}[/tex]

⇒ h = 25 · tan(θ)

       = 25 · [tex]\frac{1}{0.6}[/tex]

⇒ h = 41.66... ≈ 41.67

Here is ur perfect answer

Answer:

x = 207

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

([tex]\sqrt{x}[/tex] )² + 7² = 16²

x + 49 = 256 ( subtract 49 from both sides )

x = 207

Answer:

r = 15

Step-by-step explanation:

Using Pythagoras' identity in the right triangle OAB

with OM and OB the radii r of the circle

OA² = OB² + AB²

(r + 10)² = r² + 20² ← expand left side using FOIL

r² + 20r + 100 = r² + 400 ( subtract r² from both sides )

20r + 100 = 400 ( subtract 100 from both sides )

20r = 300 ( divide both sides by 20 )

r = 15

[tex]\boxed{\sf Area_{(Square)}=(side)^2}[/tex]

[tex]\boxed{\sf Area_{(Rectangle)}=Length\times Breadth}[/tex]

[tex]\boxed{\sf Area_{(Rhombus)}=\dfrac{1}{2}\times Diagonals}[/tex]

[tex]\boxed{\sf Area_{(Triangle)}=\dfrac{1}{2}\times Base\times Height}[/tex]

Answer:

-8 < x ≤ 12

Step-by-step

-8 less than a number would give you

-8 <

a number no more than 12 would give you

x ≤ 12

giving x because we dont know what the number is-

so your full anser would be-

-8 < x ≤ 12