You just start multiplying each number by three then once you are done with the first three you go down and add a 0. do it all over again. finally you add it up.
The slope of the line given is 1 because that is the coefficient in front of x. A slope is found by dividing the change in y by the change in x. Knowing this, we can set up an equation with the points given.
1 = (-2 - k)/(-7 +1)
Now we'll solve to find k.
Firstly we'll multiple both sides by (-7 + 1):
1(-7 + 1) = (-2 - k)/(-7 +1)(-7 + 1)
-7 = -2 - k
Now we'll add 2 to both sides:
-7 + 2 = -2 - k + 2
-5 = -k
Now to get k by itself we must divide by negative one on both sides:
-5/(-1) = -k/(-1)
5 = k
Your answer is 5 = k
Answer:
the ship is at a distance of 60 feet
Step-by-step explanation:
we have to think of the problem as a right triangle, since
we have 2 legs and 1 hypotenuse, we know the measure of the leg that gives us the height and the angle that that leg touches
the leg we want to calculate is the opposite of the angle we have, since it does not touch
well to start we have to know the relationship between angles, legs and the hypotenuse
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we see that it has (angle, adjacent, opposite)
is the tangent
tan α = o/a
tan 22 = o/150
tan 22 * 150 = o
60.6ft = o
round to the nearest foot
60ft
the ship is at a distance of 60 feet
The answers are A and C because you need to be able to convert simple decimals like those
Answer:
30 years old
Step-by-step explanation:
Let the two ages be A and C.
Then C = (1/2)A, and A = C + 15.
Substitute C + 15 for A in C = (1/2)A:
C = (1/2)(C + 15), or 2C = C + 15.
Then C = 15, and A = C + 15 becomes A = 15 + 15, or A = 30.
