I think you want to prove that a rectangle is a quadrilateral. You can prove this with definitions. The definition of a quadrilateral is that it is a shape with four sides. Since a rectangle has four sides, that proves that a rectangle is a quadrilateral.
Answer:
k = 13The smallest zero or root is x = -10
Step-by-step explanation:
you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Answer:
x=26
Step-by-step explanation:
by definition of alternate exterior angle rule 8x -71 = 5x +7
What you want to do is get your X's on one side I recommend subtracting 5x so that you don't have to deal with negative values.
8x-5x-71=5x-5x+7
3x-71=7
add 71 to both sides the goal now is trying to get by itself
3x-71+71=7+71
3x=78
now divide both sides by 3
3x/3=78/3
x=26
What table? i think you need to upload a picture of it or something
(3+4i)*4 = 3*4+4i*4 = 12+16i
The complex number 12+16i is in the form a+bi where a = 12 and b = 16
m = modulus
m = distance from (0,0) to (a,b)
m = sqrt(a^2+b^2)
m = sqrt(12^2+16^2)
m = sqrt(144+256)
m = sqrt(400)
m = 20
Answer: 20
