AC CE and D is the midpoint of CE. IF CE 10x + 18, DE =7x -1, and BC = 9x - 2, find AB, AB =

Answer:

Perimeter of the given triangle = [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units

Step-by-step explanation:

Perimeter of a polygon = Sum of the measures of all sides of the polygon

From the picture attached,

Perimeter of the given isosceles triangle = Measures of two equal sides + remaining side

P = [tex]2(\frac{3}{x+8})+\frac{x}{x+5}[/tex]

  = [tex]\frac{6}{(x+8)}+\frac{x}{(x+5)}[/tex]

  = [tex]\frac{6(x+5)+(x+8)}{(x+8)(x+5)}[/tex]

  = [tex]\frac{6x+30+x+8}{(x+8)(x+5)}[/tex]

  = [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units

Therefore, perimeter of the given triangle is [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units

Answer:

[tex]\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )[/tex].

Step-by-step explanation:

We need to find all the points on the curve x=4cos(t),y=4sin(t) that have the slope of 1/2.

[tex]x=4cos (t)[/tex]

[tex]\dfrac{dx}{dt}=-4sin (t)[/tex]

[tex]y=4sin (t)[/tex]

[tex]\dfrac{dy}{dt}=4cos (t)[/tex]

Now,

[tex]\dfrac{dy}{dx}=\dfrac{dy}{dt}\times \dfrac{dt}{dx}[/tex]

[tex]\dfrac{dy}{dx}=4cos (t)\times \dfrac{1}{-4sin (t)}[/tex]

[tex]\dfrac{dy}{dx}=-\cot t[/tex]

So, slope of the curve is [tex]-\cot t[/tex].

[tex]-\cot t=\dfrac{1}{2}[/tex]

[tex]-\tan t=2[/tex]

[tex]\tan t=-2[/tex]            ...(1)

Using [tex]\sec^2t=1+\tan^2t[/tex], we get

[tex]\sec^2t=1+(-2)^2[/tex]

[tex]\sec^2t=1+4[/tex]

[tex]\sec t=\pm \sqrt{5}[/tex]

[tex]\cos t=\pm \dfrac{1}{\sqrt{5}}[/tex]

Now,

[tex]\sin^2t=1-cos^2t[/tex]

[tex]\sin t=\pm \sqrt{1-\dfrac{1}{5}}[/tex]

[tex]\sin t=\pm \sqrt{\dfrac{4}{5}}[/tex]

[tex]\sin t=\pm \dfrac{2}{\sqrt{5}}[/tex]

It equation (1), tan(t) is negative. So, sin and cos have different signs.

If [tex]\sin t= \dfrac{2}{\sqrt{5}}[/tex], then [tex]\cos t=- \dfrac{1}{\sqrt{5}}[/tex].

[tex]x=4cos (t)=-\dfrac{4}{\sqrt{5}}[/tex]

[tex]y=4sin (t)=\dfrac{8}{\sqrt{5}}[/tex]

If [tex]\sin t=- \dfrac{2}{\sqrt{5}}[/tex], then [tex]\cos t= \dfrac{1}{\sqrt{5}}[/tex].

[tex]x=4cos (t)=\dfrac{4}{\sqrt{5}}[/tex]

[tex]y=4sin (t)=-\dfrac{8}{\sqrt{5}}[/tex]

Therefore, the two points are [tex]\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )[/tex].

Answer:

is -5.

Step-by-step explanation:

add 2 to -7

Answer:

-5

Step-by-step explanation:

A negative minus a negative will also result in a negative. Subtracting regularly and adding a negative symbol will give you your'e answer.

Answer:

y=-5x

Step-by-step explanation:

this is because slope intercept form is y=mx+b

if m= -5 and b=0 the answer would be

y=-5x+0

simplified it would be

y=-5x

Answer:

DE= 7.3

Step-by-step explanation:

you subtract the length if CE - CD to get DE

13.8 - 6.5 = 7.3

Answer:

3/7

Step-by-step explanation:

3/7 5/12

36/84   35/84

Answer:

2.37

I hope this helps, also next time make sure your question makes sense

Answer

14

you have to simplify

8+1/2(12)

14

Answer: The answer is 28. Hope this helps:)

Answer:

-1

hope this helps

plz mark brainleist

um ok.........................

Answer:

100

Step-by-step explanation:

480/4.8=100

4.8x100=480

Answer:

5h-6e

Step-by-step explanation:

3h - e + 2h - 5e =

= 3h + 2h - e - 5e

= 5h-6e

Answer:

5h - 4e

Step-by-step explanation:

Add 3h and 2h to get 5h then subtract e from 5e which equals 4e

Hope this helps!

Answer:

12x

Step-by-step explanation:

Answer: x = 35°

Step-by-step explanation:

Answer:

The right answer is B.

Step-by-step explanation:

because u are solving for y which makes u subtract.

Answer:

y = 1874.25

Step-by-step explanation:

2(4y - 5) = 14 983

2*4y + 2*-5 = 14983

8y - 10 = 14983

8y = 14983 + 10

8y = 14993

y = 14993/8

y = 1874.25

Answer:

Step-by-step explanation:

2(4y - 5) = 14

8y - 10 = 14

8y = 24

y = 3

Answer:

The answer would be 18 years

Step-by-step explanation:

hope this helps:)

Answer:

B. -5

Step-by-step explanation:

3x-1 > 4x-6

   +1

3x>4x-5

     -4x

-x>-5

/-1   /-1

x>-5

Answer:

[tex]y = 3(x +21)[/tex]

Step-by-step explanation:

Find the inverse this equation:

[tex]f(x) = (\frac{1}{3}x) - 7[/tex]

-Take the variable [tex]y[/tex] for [tex]f(x)[/tex], because both

[tex]y = (\frac{1}{3}x) - 7[/tex]

-Switch both variable [tex]x[/tex] and [tex]y[/tex] :

[tex]y = (\frac{1}{3}x) - 7[/tex]

[tex]x = (\frac{1}{3}y) - 7[/tex]

-Solve for [tex]y[/tex] :

[tex]x = (\frac{1}{3}y) - 7[/tex]

-Switch sides:

[tex]\frac{1}{3}y - 7 = x[/tex]

-Add both side of the equation by [tex]7[/tex] :

[tex]\frac{1}{3}y - 7 + 7 = x + 7[/tex]

[tex]\frac{1}{3}y = x + 7[/tex]

-Multiply both sides by [tex]3[/tex] :

[tex]\frac{\frac{1}{3}y}{\frac{1}{3} } = \frac{x + 7}{\frac{1}{3} }[/tex]

[tex]y = \frac{x + 7}{\frac{1}{3} }[/tex]

-Divide [tex]x + 7[/tex] by multiplying by [tex]\frac{1}{3}[/tex]

[tex]y = \frac{x + 7}{\frac{1}{3} }[/tex]

[tex]y = 3(x +21)[/tex]

Therefore, the answer is [tex]y = 3(x +21)[/tex].

Answer:

Salary after 5 years: 60000+(5000)5= 85000

Salary after T years: 6000+(5000)t

Step-by-step explanation:

The way that you would find the amount of money needed after 5 years is by multiplying the 5000, since that is William's raise per year, and then adding 60000, which is the original salary.

In order to find William's salary after t years, since you do not have a number, but have t, you would want to multiply 5000, which is the yearly raise, and t, hich can be any amount of years. After that, you would want to add William's original income to find an answer.

Answer:

Length: 7

Width: 4

Step-by-step explanation:

We can create a system of equations for this problem, where [tex]w[/tex] is the width and [tex]l[/tex] is the length.

The perimeter of a rectangle is twice its length added to twice its width.

[tex]2l+2w=22[/tex]

The length is 3 more than the width:

[tex]l = w+3[/tex]

We can now substitute in [tex]w+3[/tex] as [tex]l[/tex] in the equation [tex]2l+2w=22[/tex].

[tex]2(w+3) + 2w = 22[/tex]

Distribute the first terms:

[tex]2w+6+2w=22[/tex]

Combine like terms:

[tex]4w+6=22[/tex]

Subtract 6 from both sides:

[tex]4w=16[/tex]

Divide both sides by 4:

[tex]w = 4[/tex]

Now we know that w = 4. We can now substitute this inside an equation to find [tex]l[/tex].

[tex]l = w+3\\\\l = 4+3\\\\l=7[/tex]

Hope this helped!

Answer:

What the other guy said XDDDDDDDDDD

Step-by-step explanation:

I'm awesome =D

Hey there!

[tex]6 \frac{7}{20}[/tex] as a decimal

The percentage for 6 7/20 is 35%. So if that was the percent, then the decimal would be 0.35.

[tex]0.35(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

yes

Step-by-step explanation:

Answer:

Hope this helps;))

Step-by-step explanation:

-3ab+6ab=3ab

2a-4a+3a=1a

7+5=12

12+3ab+1a

Answer:

-2+2ab-a

Step-by-step explanation:

Never combine unlike terms

Ex. Never combine a and ab

By following those rules, you will get -2+2ab-a as your answer.

Answer:

0.84, 1.17, 2.25

Step-by-step explanation:

Answer:

.84, 1.17, 2.25

Step-by-step explanation:

You can answer this on your own by finding which numbers are farther away from zero. So the farther you get from zero, the more you have.

Step-by-step explanation:

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.