Four times a number plus three times a second number is negative nine. Twice the first number plus the second number is three. Call the first number m and the second number n.

m=9

n=-15

Step-by-step explanation:

If you set it up in a systems of equations way, ou would have

    4m+3n=-9

+ . 2m+n=3

You would need to cancel out a variable and in my opinion, canceling m out is easier.

  4m+3n=-9

+-4m-2n=-6

0m+n=-15

n=-15

you then plug this into one of the equations, (in my opinion the 2nd one is easier)

2m-15=3

2m=18

m=9

this gives you m so you can get the answer

m=9 and n=-15

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)