The intercepts and the graph on your worksheet are not correct. Please see below for details:
has solutions at x=-1 and x=3 (use the quadratic formula to solve). That means these are the x-intercepts, namely points:
(-1,0) and (3,0).
The y-intercept comes from setting x=0 and calculating the y value:
so the y-intercept is (0,-3).
Now to the graph: Based on the form of the function we can see this is a quadratic function and its graph will be a parabola. You can reformat the expression in the following form
and that will indicate that the apex of the parabola (open up) will be at the point (1,-4).
Knowing the apex, the x intercepts, and the y intercept, we can graph it now.
Graph is in the image attached.
Find the slope of the line passing throught the points (2, 2) and (4, 3).
The formula of a slope:
Substitute:
If the point (x, -1) lie on the same line, then the slope of line passing through the points (2, 2) and (x, -1) the same:
Substitute:
We have the equation:
<em>cross multiply</em>
<em>add 2 to both sides</em>
<h3>Answer: x = -4.</h3>
Answer:
50 minutes
Step-by-step explanation:
We know there is 60 minutes in an hour. so if we do 4:15 + 50 minutes, it reaches 5:05 minutes.
Well, since 3/15 can be simplified to 1/5 by dividing the top and the bottom by 3, you would just need to find the decimal of 1/5 which is much more commonly recognized. it's .2 (becasue 1/10 would be .1 and 1/5=2/10 so .1x2=.2)
Answer:
The correct option is;
Segment ED ≅ segment FD because segment EF is perpendicular to a radius of circle A
Step-by-step explanation:
All chords perpendicular to the radius of a circle are bisected by the radius of the circle
Given that DA can be extended to the circumference of circle A to form a radius of the circle A, and that DA is perpendicular to EF, therefore, DA bisects EF or EF is bisected into two equal parts by DA such that segment ED is congruent to segment FD
Therefore, the correct option is that segment ED ≅ segment FD because segment EF is perpendicular to a radius of circle A.
