Answer:
30 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A =
bh ( b is the base and h the height )
Here b = 6 and h = 10 , thus
A =
× 6 × 10 = 3 × 10 = 30 cm²
and 7² = 7 × 7 = 49
Answer:
Step-by-step explanation:
output = y
input = x
y=-2x + 3
if you follow the pattern, the next input is 5 which will output -7
Answer:
A) a vertical line does not represent a function.
Step-by-step explanation:
For a relation to be a function for each value of
there must be only one value of
. In other words a function is one in which each value in the domain set corresponds to only one value in the range set.
Let us check for this condition in the give choices:
A) a vertical line
A vertical line is given as
which meas it is parallel to y-axis and has infinite number of
values for a single
value.
So, its Not a function
B) 
For the given equation, on plugging in some
value will give a single
value.
So, its a Function
C) a horizontal line
A horizontal line is given as
which meas it is parallel to x-axis and has infinite number of
values giving a single
value.
So, its a Function
D) {(1, 7), (3,7), (5, 7), (7,7)}
For the given set for different
valuesthere is only one
value.
So, its a Function
Answer:
The turning point of the graph is at (3,-16)
Step-by-step explanation:
The general equation of curve is given as:
y = x² + ax + b
The two point for which the equation satisfies is (0,-7) and (7,0).
Substitute (0,-7) in the general equation:
y = x² + ax + b
-7 = 0² + a(0) + b
b = -7
Substitute (7,0) in the general equation:
y = x² + ax + b
0 = 7² + 7a + b
Where b = -7
0 = 49 + 7a - 7
0 = 42 + 7a
a = -6
The equation of the curve is:
a = -6 and b = -7
y = x² + ax + b
y = x² - 6x - 7
Graph of the equation is attached below.
We can see that the the turning point of the graph is at (3,-16)
Slope intercept form is y=mx+b
6x-12y=36
-12y=36-6x
y=36-6x/-12
y=0.5x-3