We know that in order to solve a math problem, we need an equation. Luckily there's an equation to find the slope and intercept of a (straight) line!
Because of the equation:
Y = mx + b
You can use it to find the Y intercept, and then therefore slope (or the other way around)!
First, look at the point where the line meets with the y axis.
It's not clear, but it's 7.
That's your 'Y intercept'. Easy!
Then, to find the slope. There are a couple of ways to find it, but I'll show you the one using the y = mx + b equation.
In the equation, 'b' represents the Y intercept. Since we already know our Y intercept on the graph is 7, we can plug that into the equation.
Y = mx + 7
What's m? M is the slope of the line. In order to find this, we need more numbers to work with. Numbers from the line's coordinate points.
Since coordinates in a graph have x and y, we can plug in any coordinate from the graph's line into our equation (y = mx +7).
I choose...this point (points at random coordinate on line).
(3, 10) aka (x, y)
It's on the line, right? So it will be a reliable x and y.
Put the numbers in...
10 = 3m + 7
This looks a bit easier, right? Now we solve for m (the slope)!
Combine like terms.
10 - 7 = 3m
Divide the 3.
3/3 = m
m = 1.
That's your slope!
So, taking the solution, we can determine that the slope of the line is 1, and the intercept of the line is 7.
Y = x + 7
Hope it helps! This is the most I can do for you :)
Answer:
x equals 11 and y is 11 root 2
Step-by-step explanation:
Answer:
6x^2 ( x^2 -2) ( x^2 +2)(x^2+2x+2)(x^2-2x+2)
Step-by-step explanation:
6x^10 − 96x^2
Factor out 6x^2
6x^2 ( x^8 - 16)
Notice that inside the parentheses we have the difference of squares
6x^2 ( x^4 ^2 - 4^2) a^2 - b^2 = (a-b) (a+b)
6x^2 ( x^4 -4) (x^4 +4)
Notice that x^4-4 is also the difference of squares
6x^2 ( x^2^2 -2^2) (x^4 +4)
6x^2 ( x^2 -2) ( x^2 +2) (x^4 +4)
Note also that x^4 + 4 can be factored into (x^2+2x+2)(x^2-2x+2)
6x^2 ( x^2 -2) ( x^2 +2)(x^2+2x+2)(x^2-2x+2)
Answer:
degrees.
Step-by-step explanation:
Line ABC is a straight line, and the angle on a straight line is always 180 degrees.
Since ABD + DBC = ABC, we know that 
Divide both sides by 9:
DBC is 
degrees.
Figures of same shape and size are similar .Two circles C1&C2 will be similar.
Circle 1 has a center of (-4,5) and circle 2 has a center of (2,1) .The x of the center is having the translation x+6 and the y is having a translation of y-4.The center of the circle is dilated by 3 units.
The circles are similar because you can translate Circle 1 using the transformation rule (x+6,y-4 ) and then dilate it using a scale factor of 3.
2) Area of sector = 
÷360.
Where α is the angle made at center.
Area of given sector= π(12)(12)(60)÷360 =24π.
