Answer:
Step-by-step explanation:
<u>Equation of the line</u>
A line can be expressed in many forms.
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
The point-slope form of the equation of a line is:
y-k=m(x-h)
Where m is the slope and (h,k) is a point through which the line passes.
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
We are required to find a line with slope m=4 passing through the origin (0,0).
Using the point-slope form:
y-0=4(x-0)
Simplifying
Answer:
the darkest shaded one.
Step-by-step explanation:
because the two areas for possible answers both intersect at that area, therefore, that is the answer.
Answer:
C
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
so, we know in our case
b(b+12) = 189 cm²
b² + 12b - 189 = 0
let's try to solve this by completing the square.
that means we try to find the expression
(b + k)² + c
that is equal to
b² + 12b - 189
(b + k)² + c = b² + 2kb + k² + c = b² + 12b - 189
so,
2k = 12
k = 6
and then
k² + c = -189
6² + c = -189
36 + c = -189
c = -225
(b + 6)² - 225 = 0
(b + 6)² = 225
b + 6 = 15
b = 9
so, the baseline b = 9 cm.
the height b+12 = 9+12 = 21 cm.
Answer:
For this case we have the following equation:
Where,
x: he number of tickets sold
y: the amount of money collected for the tickets
The domain of the function must be:
Therefore, we must find a table that complies with this restriction and also have the corresponding values for x and y.
The first table complies with the restriction and has correct values for the variables:
x y
0 0
10 50
51 255
400 2000
Answer:
First table
Step-by-step explanation:
