Answer:
how far a line goes up
Step-by-step explanation:
rise/run gives the slope of the line
The formula is 2πr x central angle divide by 360
=2x3.14x6x30/360=3.14in
Answer:
the length is 12 and the width is 9.
Step-by-step explanation:
The first step is always to assign letters to the variables. We can call length L and width W.
Since all units are in cm, unit conversion is unnecessary.
Next, set up some equations. L=2W-6 because of the first sentence of the problem. Length times width equals area, so L*W=108.
Now that there are two equations and two variables, the next step is to solve the system. I'm going to solve it by plugging in the right side of the first equation in for L in the second equation. This gives me (2W-6)*W=108. Distributing the W gives me 2W^2-6W=108, or W^2-3W-54=0. Using the quadratic formula, I get that W=9. Using the first equation, L=2*9-6=12. So the length is 12 and the width is 9.
<span> The quadratic formula says that any quadratic equation of the form ax^2 + bx + c, then
x=(-b ± √(b^2 - 4ac))/2a, and so because of the square root, theres
obviously going to be no x-intercepts if b^2 - 4ac is negative, one
x-intercept if its zero, or two if its positive. So to calculate the
discriminant, which is whether it has an intercept, no intercepts or two
intercepts is:
∆=b^2 - 4ac, where delta, the greek equivalent of D, is used to represent the discriminant.
In the above equation a=-4, b=3 and c=-2, so
∆=3^2 - 4*-4*-2=9 - 32=-23, so because the discriminant is negative, then there are no x-intercepts.
This is from
https://answers.yahoo.com/question/index;_ylt=A0LEVvH2KJ5Y8UMAhHwPxQt.;_ylu=X3oDMTByMjB0aG5zBGNvbG8D...
</span>
Answer:
See explanation
Step-by-step explanation:
Let 
be the coordinates of the point which has to be dilated with the scale factor of 
with the center of dilation at point 
(the origin).
The dilation with the scale factor and the center of dilation at the origin has the rule
So, you have simply to multiply each coordinate of the point by to get the image's coordinates.
