Answer:
4
Step-by-step explanation:
In a equilateral triangle, all angles are 60 degree, so 10x+20=60
10x=40
x=4
A bar diagram can be used to represent algebraic expressions or to give examples.
Answer:
y=mx+b
3=slope
1=y coordinate
-8=x coordinate
b=y intercept
Substitute m for 3
y=3x+b
Next, substitute the coordinate values
1=3(-8)+b
Solve
1=-24+b
+24 +24
25=b
Now substitute b and m for their respective values
y=3x+25
Step-by-step explanation:
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.
Answer:
4x^2 -25
Step-by-step explanation:
The other factor of the difference of squares is the "conjugate" of the given one: (2x -5). Then their product is ...
(2x +5)(2x -5) = (2x)^2 -(5)^2 = 4x^2 -25