I'm guessing that in the book or the homework sheet, they gave you
the values of 'a', 'b', and 'c', and you're supposed to find the value of 'd'.
If you have two points on the line, then the slope of the line is
(the change in 'y') divided by (the change in 'x') .
If the two points are (a, b) and (c, d), then the slope of the line is
(d - b) divided by (c - a) ,
and you have to find the value of 'd' that makes that whole expression
equal to 1/2.
(d - b) / (c - a) = 1/2
Multiply each side by (c - a): (d - b) = 1/2(c - a)
Add 'b' to each side: d = 1/2(c - a) + b
If you know the values of 'a', 'b', and 'c', you can find the value of 'd'.
Answer:
Step-by-step explanation:
Hello There!
The shown figure is a trapezoid
The formula for area of a trapezoid is
where a = base 1
b = base 2
h = height
the dimensions given are
13 & 7 - bases
5 - height
so all we have to do is plug in the values into the formula
So we can conclude that the area of the trapezoid is 50 cm²
First square both sides to get:
c + 22 = (c + 2)^2
or
c + 22 = c^2 + 4c + 4
Move the terms on the left side to the right side:
c^2 + 3c - 18 = 0
Factor to get:
(c + 6) * (c - 3) = 0.
The solutions are c = -6 and c = 3.
Check to see if these answers work by plugging them into the original equation:
c = -6:
sqrt (-6 + 22) ?= -6 + 2
But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.
c = 3:
sqrt (3 + 22) ?= 3 + 2
5 = 5. So, 3 works.
The answer is: B
Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
−
3
x
2
+
7
x
=
−
5
Step 1: Subtract -5 from both sides.
−
3
x
2
+
7
x
−
(
−
5
)
=
−
5
−
(
−
5
)
−
3
x
2
+
7
x
+
5
=
0
For this equation: a=-3, b=7, c=5
−
3
x
2
+
7
x
+
5
=
0
Step 2: Use quadratic formula with a=-3, b=7, c=5.
x
=
−
b
±
b
2
−
4
a
c
2
a
x
=
−
(
7
)
±
(
7
)
2
−
4
(
−
3
)
(
5
)
2
(
−
3
)
x
=
−
7
±
109
−
6
x
=
7
6
+
−
1
6
109
or
x
=
7
6
+
1
6
109
