Slope intercept form is y = mx+b, so you can see that you set the equation equal to y. So if the equation is 2y+3x=6, then you solve for y to put it in slope intercept form.
2y + 3x = 6
2y = -3x + 6
y = (-3/2)x + 3
Keep in mind that the term with the x has to be before the constant, so it can't be y = 3 -(3/2)x
And by the way m is the slope and b is y-intercept, so in <span>y = (-3/2)x + 3, -3/2 is slope and (0,3) is y-intercept</span>
Answer: width = 10 ft
Step-by-step explanation:
Area = length × width
Let l be length and w be width
l = w + 4 ........equation (1)
From above formula
140 = l × w. ........equation (2)
Substitute equation (1) into equation (2)
140 = (w+4) × w
w^2 + 4w= 140
w^2 + 4w - 140= 0
By factorization method
(w+14)(w-10)= 0
w=-14 or w= 10
So now width is 10 ft
From equation(1)
l=w+4
l= 10+4
l= 14 ft
Width = 10 ft and length = 14 ft
Answer:
A
Step-by-step explanation:
Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.
<u>Discriminant</u>
Evaluate the discriminant of each of the given equations.
As -24 < 0 the equation will have complex roots.
As 41 > 0 the equation does not have complex roots.
As 48 > 0 the equation does not have complex roots.
As 33 > 0 the equation does not have complex roots.
Learn more about discriminants here:
brainly.com/question/27444516
brainly.com/question/27869538
Learn more about complex roots here:
brainly.com/question/26344541
Answer:
Expand it.
(1+2i)^3 is equal to (1+2i)(1+2i)(1+2i).
Multiply everything out (being sure to multiply <em>every</em> term. (1+2i) * (1+2i) = 1+2i+2i+4i^2.
i is the square root of negative one, so i^2 is just -1. 1+2i+2i-4 is what you get from the first two, so now simplify that:
1-4 + 2i+2i = (-3+4i) and now multiply that by (1+2i):
(-3+4i) * (1+2i) = -3 - 6i +4i +8i^2.
Simplify again, and the answer is: -11-2i
Step-by-step explanation:
I hope this helps - really my only tip is don't spend time thinking about what i is, that just hurts your brain. Just remember that i^2 is equal to negative one, and treat it like regular multiplication and you will be fine.
To dilate an object using a given scale factor we can multiply the coordinates of the object by the scale factor to get the coordinates of the image. However, this can only be done when the center of dilation is the origin (0,0). For non-origin center of dilation like in our case we have to locate the points of the image by construction in a Cartesian plane using the center and the scale factor. In this case we need to measure the distance of A from a point F (center of dilation) the we multiply it by 0.25 (the scale factor) then using the same path we measure the distance we get to locate point A'. Hence, by so doing point A' will be (1,0).
