The values of x that make f(x)=0 are the values of x that make its factors zero.
x+8 = 0
x = -8
x-4 = 0
x = 4
The appropriate choice is
A. (-8, 0) and (4, 0)
Answer:
The answer is (e)
Step-by-step explanation:
You know that the total time for one practice is (10+15+10+20+x). You can simplify that by adding like terms to get (55+x). You need that amount multiplied by three because he has 3 practices a week. so therefore you get 3(55+x). You distribute that three to both terms to get the simplest form which is 165 + 3x.
Answer:
a)z1 +z2 =z2 + z1 ...proved.
b) z1 + ( z2+ z3 )=(z1+z2)+z3 ... proved.
Step-by-step explanation:
It is given that there are three vectors z1 = a1 + ib1, z2 = a2 + ib2 and z3 = a3 + ib3. Now, we have to prove (a) z1 + z2 = z2 + z1 and (b) z1 + (z2 +z3) = (z1 + z2) + z3.
(a) z1 + z2 = (a1 +ib1) + (a2+ ib2) = (a1 +a2) + i(b1 +b2) {Adding the real and imaginary parts separately}
Again, z2 + z1 =(a2 +ib2) + (a1 +ib1) = (a2 +a1) + i(b2 +b1) {Adding the real and imaginary parts separately}
Hence, z1 +z2 =z2 + z1 {Since, (a1 +a2) = (a2 +a1) and (b1 +b2) = (b2 +b1)}
(b) z1 + ( z2+ z3 ) = [a1 + ib1] + [(a2 + a3 ) + i(b2 + b3 )] = ( a1 + a2 + a3) + i( b1+ b2+b3) {Adding the real and imaginary parts separately}
Again, (z1+z2)+z3 = [(a1+a2) +i(b1+b2)]+[a3+ib3] = ( a1 + a2 + a3) + i( b1+ b2+b3) {Adding the real and imaginary parts separately}
Hence, z1 + ( z2+ z3 )=(z1+z2)+z3 proved.
Answer:
Step-by-step explanation:
Angle QPR is a central angle. When a central angle intercepts an arc of a circle, the arc and the angle have the same measure. So the minor arc, the one that is less than 180 degrees, will have the same measure as the central angle, 170 degrees.
Answer:
8inches
Step-by-step explanation:
Length of the third side = perimeter - ( side1 + side2 )
= 17 - (5+4)
= 17 - 9
= 8 inches
