Step-by-step explanation:
ED is greater than BC
the line from B to ED ^ (which i drew ) the point it touches ED name it X. so EX will be 2 ( ED-BC)(6-4).
then u have a triangle. EX, XB and EB.
you have length of EX(2) and u have hypotenuse. so u can calculate XB using Pythagoras theorem.
15.1²=2²+XB²
15.1²-2²=XB²
224.01=XB²
XB=14.97
since XB and DC are parallel ( a rectangle is forming XBCD) so DC is also 14.97
Answer:
2 solutions
Step-by-step explanation:
I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...
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To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:
3x(x -4) +5 -x -(2x -7) = 0
3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses
3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms
3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor
The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.
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<em>Alternate method</em>
Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...
d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c
d = (-15)^2 -4(3)(12) = 225 -144 = 81
This positive value means the equation has 2 real solutions.
3x+y=0 and x+2y=7
i)
a= intercept on x axis
b= intercept on y axis
from the question
a=2b
x/2b+ y/b=1
x+2y=2b
since it passes through the point (3,2)
then 3+4=2b
7/2=b
x+2y=7 putting the value of b
ii) given b =3a
then x/a+ y/ 3a =1
3x+y=3a
it passes through ( -1,3) then
-3+3=3a
a=0
3x+y=0
learn more of straight line here brainly.com/question/22394008
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4:6 4’7 4:7 because 4 is into the 15
Unfortunately, we are not presented in this item with the table in which we could have chosen from our answer to this question. However, it can be concluded that the table which contains the values of
d = p - 2.5