Answer:
5/-3
Step-by-step explanation:
The slope formula is rise/run.
If you graph this, the two points make a line that slopes downwards. The higher point is in the negative axis, which means that the run will be negative.
you rise up 15 points from the first point (1,-6) to get to the same level as the second point. (-8,9). This is your rise.
You go over to the other point, this is your run. The run is -9.
15/-9
we can simplify this fraction.
5/-3 is your final answer.
Answer:
y = 18 and x = -2
Step-by-step explanation:
y = x^2+bx+c To find the turning point, or vertex, of this parabola, we need to work out the values of the coefficients b and c. We are given two different solutions of the equation. First, (2, 0). Second, (0, -14). So we have a value (-14) for c. We can substitute that into our first equation to find b. We can now plug in our values for b and c into the equation to get its standard form. To find the vertex, we can convert this equation to vertex form by completing the square. Thus, the vertex is (4.5, –6.25). We can confirm the solution graphically Plugging in (2,0) :
y=x2+bx+c
0=(2)^2+b(2)+c
y=4+2b+c
-2b=4+c
b=-2+2c
Plugging in (0,−14) :
y=x2+bx+c
−14=(0)2+b(0)+c
−16=0+b+c
b=16−c
Now that we have two equations isolated for b , we can simply use substitution and solve for c . y=x2+bx+c 16 + 2 = y y = 18 and x = -2
Just multiply 37.7 by 4 and get your answer.
Answer:
900 cubic units
Step-by-step explanation:
V= base area *height of prism
Area of base is 1/2*15*8 =60
V=60*15
V=900
