Answer:
3/1000 chance
Step-by-step explanation:
Let's x represents the first odd integer
The next consecutive integer would be represented as x+2.
So x and x+2 being multiplied together will give us 1443:
(x)(x+2)=1443
x^2+2x=1443
x^2+2x-1443=0
By solving the quadratic equation using the quadratic formula, x will equal to 37 and -39.
Since the problem says "integers", so I'm assuming two pairs of consecutive integers would be ok.
With that said you 1st pair will be: 37,39
Your second pair will be: -37,-39.
Answer:
Dilation factor = 0.75.
Step-by-step explanation:
One point on the xy-plane is (-24,-12). The transformation is the dilation which is done on the point and the image is given by (-18,-9). Dilation changes the size of the shape according to the dilation factor. If the original x-coordinate is -24, then the image will be calculated by multiplying the original point with the dilation factor. Therefore, -18= -24 * k, where k is the unknown dilation factor. Simply solve the equation for k.
24k = 18.
k = 18/24 = 3/4 = 0.75.
Similarly, 12k = 9. k = 9/12 = 3/4 = 0.75.
So the point (-24,-12) dilated by k=0.75 to get to (-18,-9)!!!
Answer:
90°
Step-by-step explanation:
as a straight line is 180°
and the angle 4 is 90 degrees it must mean that the other side is 90 degrees too
Answer:
(1,-2) and (0,-5) (There are an infinite amount more)
Step-by-step explanation:
The easiest way to find solutions is to plug in an x value. Let's try 1:
y = 3(1) - 5⇒y = 3 - 5⇒y = -2
(1,-2)
Let's try 0:
y = 3(0) - 5⇒y = 0 - 5 ⇒y = -5
(0,-5)
