We are given
equation of line as
we will check each options
option-A:
we can plug (3,1)
x=3 and y=1
we can see that
they are not equal
so, this is FALSE
option-B:
we can plug (-1,-2)
x=-1 and y=-2
we can see that
they are equal
so, this is TRUE
option-C:
we can plug (-3,4)
x=-3 and y=4
we can see that
they are not equal
so, this is FALSE
option-D:
we can plug (2,6)
x=2 and y=6
we can see that
they are not equal
so, this is FALSE
Answer:
Area of shape B = 312.5 cm²
Step-by-step explanation:
Ratio of Area of A : Area of B = 12² : 15²
Given that area of A is 200 cm², let the area of shape B = x
Therefore:
200:x = 12²:15²
200/x = 144/225
Cross multiply
144x = 200*225
144x = 45,000
x = 45,000/144
x = 312.5 cm²
Area of shape B = 312.5 cm²
ANSWER
EXPLANATION
The given function is a piecewise defined function.
is the y-value that corresponds to
To determine that y-value, we need to trace from
to where it meets the graph.
We then trace to the y-axis to determine the corresponding y-value as shown in the diagram.
From the graph, we can see that this x-value corresponds to a y-value of
This implies that, when
Therefore
See graph.
3/7 is the answer for this question
Answer: (12,0)
Steps:
First, put the equation in slope-intercept form.
y=mx+b
1.5x + 4.5y =18
Subtract 1.5x from both sides.
4.5y =-1.5x +18
Divide both sides by 4.5 to isolate y.
y = -1/3x + 4
Then replace y with 0 because the point for the x-intercept is exactly on the x-axis so the y=0.
0 = -1/3x + 4
Subtract 4 from both sides
-4 = -1/3x
Divide both sides by -1/3 to isolate the x
12=x
