18=1,2,3,9,18
37=1,37
48=1,2,3,16,24,12,4,6,8,48
Prime no. is a number that is divisible only by itself and 1
So, here 37 is a prime no.
18 and 48 are composite no.s
Answer:
Step-by-step explanation:
The slope of all lines in quadrant 1 is positive. FALSE
The slope of a line does not depend on the quadrant.
The slope of <u>all lines</u> that pass through the origin is undefined.FALSE
The slope of some lines that pass trough the origin are undefined ( lines that are vertical have undefined slope)
The larger the slope, the longer the line.FALSE
The lines do not get longer or shorter because they go to infinity in both directions.
The larger the magnitude of the slope value, the steeper the line. TRUE
The larger the absolute value of the slope the steeper the slope.
Answer:
46
Step-by-step explanation:
Divide 69 by 3
69 / 3 = 23
Take it times two.
23 x 2 = 46
Proportion
Cross multiply and solve for x.
Answer:
x³ - (√2)x² + 49x - 49√2
Step-by-step explanation:
If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.
x = -7i is one root,
(x + 7i) = 0 is the factor
x = 7i is one root
(x - 7i) = 0 is the factor
x = √2 is one root
(x - √2) = 0 is the factor
So the factors are...
(x + 7i)(x - 7i)(x - √2) = 0
Multiply these out to find the polynomial...
(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²
Which simplifies to
x² - 49i² since i² = -1 , we have
x² - 49(-1)
x² + 49
Now we have...
(x² + 49)(x - √2) = 0
Now foil this out...
x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0
x³ + (√2)x² + 49x - 49√2
Answer:
y = -1/4x+2
Step-by-step explanation:
We can find the slope by finding two points on the line, and doing (y1-y2) ÷ (x1-x2). The two points I chose were (0,2), and (4,1). We can plug this into the equation to get (2-1) ÷ (0-4), to get -1/4, which is our slope. We can see on the graph, that the line intersects with the y axis when the y coordinate is 2, making the y-int 2.
