Please answer please please thank you thank goodness
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Answer:
y = -x -12
Step-by-step explanation:
The slope of the line you want is the same as the slope of the line you have: -1. Then the point-slope equation of the line is ...
y -k = m(x -h) . . . . . . line of slope m through point (h, k)
y -(-7) = -1(x -(-5))
y = -x -5 -7 . . . . subtract 7, eliminate parentheses
y = -x -12 . . . slope-intercept equation
Answer:
Height of slide = 5 feet (Approx.)
Step-by-step explanation:
Given:
Length of slide = 12 feet
Angle of depression = 25°
Find:
Height of slide
Computation:
Length of slide = Hypotenuse
Height of slide = Perpendicular
Using trigonometry function;
Sin θ = Perpendicular / Hypotenuse
Sin 25 = Height of slide / 12
0.422 = Height of slide / 12
Height of slide = 12 x 0.422
Height of slide = 5.064
Height of slide = 5 feet (Approx.)
Step-by-step explanation:
you are "hiding" some more information (like how much they made together).
without that we cannot calculate the actual values.
all I can do is set up the equations expressing the given relations between the parts of the total :
a = amount Alberto made
b = amount Benjamin made
c = amount Carlota made
b = 3×a
c = 2×b = 2× 3×a = 6×a
that's it.
your see ? now we need something that "ties" all 3 together, an equation of all 3 variables, where we can use the first 2 equations (by substitution) and then solve for the remaining third variable.
and that is missing.
if it is something like "together they made x", then we would have
a + b + c = x
a + 3a + 6a = x
10a = x
a = x/10
b and c we get then from the first 2 equations by simply using the calculated value of a :
b = 3×(x/10) = 3x/10
c = 6×(x/10) = 6x/10 = 3x/5
Answer:
Option C is the answer.
Step-by-step explanation:
Given diameter is = 2 miles
So, radius will be = 1 mile
Let t represents the number of hours it took Johanna to walk completely around the lake.
Now, the circumference is given as: 
So, circumference = 
= 6.28 miles
Johanna's speed = 3 miles/ hour
We know the formula 
t = 
t = 2.09 hours
This is greater than 2, but less than 2.5, therefore, 2.0 < t < 2.5 is the answer.
