9514 1404 393
Answer:
y = -1/2x +11/2
Step-by-step explanation:
The slope of the line is ...
m = (y2 -y1)/(x2 -x1)
m = (1 -2)/(9 -7) = -1/2
The y-intercept is ...
b = y -mx
b = 2 -(-1/2)(7) = 11/2
Then the slope-intercept equation is ...
y = -1/2x +11/2
_____
<em>Alternative solution</em>
A general form equation for the line can be ...
(y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0
(2 -1)(x -7) -(7 -9)(y -2) = 0
x-7 +2y -4 = 0
x +2y -11 = 0 . . . . . general form equation
x +2y = 11 . . . . . . . standard form equation
Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.
Answer: 4/5 , 3/10
Step-by-step explanation:
P(not drawing black marble)=
= 8/10
=4/5
P(drawing a red marble)=
=3/10
Answer:12.59
Step-by-step explanation:
enter image source here
From the diagram you can see that we have constructed a right triangle, with height A and base 15.
Length of shadow = 15 feet.
Height of flagpole = A.
We know the angle of elevation is
40
∘
. Using this angle and the tangent ratio, we can find A.
tan
(
40
∘
)
=
opposite
adjacent
=
A
15
∴
tan
(
40
∘
)
=
A
15
Rearranging:
A
=
15
tan
(
40
∘
)
By calculator:
A
=
12.59
feet. ( 2 d.p.)
Answer:
Step-by-step explanation:
The formula for continuous compounding is
where A(t) is the amount after all the compounding is done, P is the initial investment, r is the rate as a decimal, and t is the time in years. Filling in our info:
First raise e to the product of that power to get
Multiply those numbers together to get A(t) = $824.36
Answer:
<h2>Pass = $17.22</h2><h2>Lunch = $8.94</h2>
Step-by-step explanation:
People = 34 + 4 = 38
Pass price per person = 654.36 / 38 = $17.22
Lunch price per student = 303.96 / 34 =$8.94
Pass = $17.22
Lunch = $8.94
