The problem statement says "the graph is shown," but you haven't shared it. Please do that if possible. Thank you.
<span>Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept.
We can quickly put this into slope-intercept form:
12 - 2x
Subtract 2x from both sides: 2x - 2x + 4y = 12 - 2x => y = ------------
4
In simplest form, this is y = 3 - (1/2)x, or (-1/2)x + 3. The slope is -1/2 and the y-intercept is (0,3).</span>
Answer:
m<B=m<K=100
m<A=m<J=133
m<L=m<C=41
m<M=m<D=86
Step-by-step explanation:
Since
, the corresponding angles are congruent.
This implies that:

m<L=41=m<C
m<M=86=m<D
The sum of angles in a quadrilateral is 360 degrees.
m<B+133+41+86=360
m<B+260=360
m<B=360-260
m<B=m<K=100
5+b>15 if you need the expression here it is
-6, 6.5, 6.55. 6
The negative number is way smaller than the others, so its first. Then, 6 is the greatest than the others, so its last and the rest is based on the decimal.
Answer:
y = 1/2x^2 - 2x + 1
Step-by-step explanation:
The equation of the parabola in vertex form is y = 1/2 (x - 2)^2 - 1. By finding the vertex at (2,-1) we plug in the point into the formula y = a(x-h)^2 + k. To convert it to standard form like the equations listed, multiply through the distributive property to clear the parenthesis.
y = 1/2 (x-2)(x-2) - 1
y = 1/2 (x^2 - 4x + 4) - 1
y = 1/2x^2 - 2x + 2 - 1
y = 1/2x^2 - 2x + 1