First we calculate the slope (which is called "m".
Slope = m = (Y2 -Y1) ÷ (X2 -X1)
m = (-8 -1) / (5 -2) = -9 / 3 = -3
We next fill in this equation: b = y -mx
We know m = -3 and we can choose a point (2, 1) to calculate "b"
b = 1 --3 * 2 b = 7
Putting this into y = mx +b
y = -3x +7
add 14+8 first, which is 22
then, multiply 6 by 22, which is 132
and lastly, add 12
the answer is 144
Answer:
0.35
Step-by-step explanation:
0.25 × 1.4 =
0.25×100=25
1.4 × 10 = 14
25×10=250
25×4=100
250+100=350
25×14=350
350÷1000(0.25》25, 1.4》14)
0.35
Answer:
87.5
Step-by-step explanation:
By completing the square,
y
=-14x^2+70x
=-14(x^2-5x)
=-14(x-5/2)^2+175/2
the max. height=175/2
i.e. 87.5
Answer18:
The quadrilateral ABCD is not a parallelogram
Answer19:
The quadrilateral ABCD is a parallelogram
Step-by-step explanation:
For question 18:
Given that vertices of a quadrilateral are A(-4,-1), B(-4,6), C(2,6) and D(2,-4)
The slope of a line is given m=
Now,
The slope of a line AB:
m=
m=
m=
The slope is 90 degree
The slope of a line BC:
m=
m=
m=
The slope is zero degree
The slope of a line CD:
m=
m=
m=
The slope is 90 degree
The slope of a line DA:
m=
m=
m=
m=
The slope of the only line AB and CD are the same.
Thus, The quadrilateral ABCD is not a parallelogram
For question 19:
Given that vertices of a quadrilateral are A(-2,3), B(3,2), C(2,-1) and D(-3,0)
The slope of a line is given m=
Now,
The slope of a line AB:
m=
m=
m=
The slope of a line BC:
m=
m=
m=
m=3
The slope of a line CD:
m=
m=
m=
The slope of a line DA:
m=
m=
m=3
The slope of the line AB and CD are the same
The slope of the line BC and DA are the same
Thus, The quadrilateral ABCD is a parallelogram