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NARA [144]
3 years ago
8

Solve Similar triangles Solve for x. x=?

Mathematics
1 answer:
Julli [10]3 years ago
7 0

Answer:

x = 2

Step-by-step explanation:

AB/BC = AD/DE

\frac{2}{1} = \frac{2+x}{2}

cross-multiply:

2+x = 4

x = 2

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Consider the parabola r​(t)equalsleft angle at squared plus 1 comma t right angle​, for minusinfinityless thantless thaninfinity
kodGreya [7K]

Given:-   r(t)=< at^2+1,t>  ; -\infty < t< \infty , where a is any positive real number.

Consider the helix parabolic equation :  

                                              r(t)=< at^2+1,t>

now, take the derivatives we get;

                                            r{}'(t)=

As, we know that two vectors are orthogonal if their dot product is zero.

Here,  r(t) and r{}'(t)  are orthogonal i.e,   r\cdot r{}'=0

Therefore, we have ,

                                  < at^2+1,t>\cdot < 2at,1>=0

< at^2+1,t>\cdot < 2at,1>=

                                              =2a^2t^3+2at+t

2a^2t^3+2at+t=0

take t common in above equation we get,

t\cdot \left (2a^2t^2+2a+1\right )=0

⇒t=0 or 2a^2t^2+2a+1=0

To find the solution for t;

take 2a^2t^2+2a+1=0

The numberD = b^2 -4ac determined from the coefficients of the equation ax^2 + bx + c = 0.

The determinant D=0-4(2a^2)(2a+1)=-8a^2\cdot(2a+1)

Since, for any positive value of a determinant is negative.

Therefore, there is no solution.

The only solution, we have t=0.

Hence, we have only one points on the parabola  r(t)=< at^2+1,t> i.e <1,0>




                                               




6 0
3 years ago
A tennis shop sold twenty $100 racquets at an 8% profit and ten $80 bags at a 15% loss. The profit on the combined transaction w
Sergeeva-Olga [200]
So first let me assume that the Total profit of the racquets are 8 percentage and not individually.

Now to find the profit we can do

20 x 100= 2000

Now
8=x/2000*100
X= 160

And now for loss
10x80=800

Now

15= x/800*100
X=120

Now profit =

160-120 = 40

The profit was only 40
4 0
3 years ago
Read 2 more answers
1/4 + 1/2 + x = −3/4
Ostrovityanka [42]

1/4 + 1/2 + x = −3/4

get a common denominator 1/4

1/4 +2/4 +x = -3/4

combine like terms

3/4 +x =-3/4

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x = -3/4 -3/4

x = -6/4

divide top and bottom by 2

x = -3/2

x = -1   1/2

Answer : x = -1  1/2

7 0
3 years ago
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Here is 70 points to be nice tell a joke here is one why is there only 7 planets because i destroyed uranus
riadik2000 [5.3K]

Answer:

lol w*f

Step-by-step explanation:

8 0
3 years ago
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Simplify! (a^3b)(abc)<br><br> A) a^2bc^5<br> B) a^4b^2<br> C) a^4b^2c<br> D) a^4bc
fenix001 [56]

Answer:

a^{3}*b*(abc)=a^{4} * b^{2} * c

Step-by-step explanation:

you use the distributive property

7 0
3 years ago
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