Answer:
Step-by-step explanation:
The question is asking you to graph the equations.
The equations are in slope intercept form so y=mx+b
M is the slope and b is the y-intercept
First draw the y & x axis and label/number them
The y-intercept for the first equation is -1 so draw a dot on the -1 on the y-axis
The slope is 2/5 and you use rise/run to continue the slope.
you rise 2 on the y-axis and go right 5 times on the x-axis (for a negative number you go left/down)
For the second equation, you have to turn it into slope intercept form.
You should get y=2/3x+3
You graph this equation the same as you did the first one.
Answer:
6.78ft/sec
Step-by-step explanation:
From the question, dx/dt= 3.9 ft/sec
We are looking for Dy/dt
From geometry,vof this case the relationship between x and y is needed here, there is two similar triangle that exhibited by the man and the lamb
12/y= 5.1/(y-x)
Then ,cross multiply, we have
12(y-x)=5.1y
12y-12x=5.1y
12y-5.1y=12x
6.9y=12x
y=( 12/6.9)x
Differentiating implicitly the bother sides with respect to t, we have
Dy/dt= ( 12/6.9)dx/dt
But dx/dt= 3.9 ft/sec
Then Dy/dt= ( 12/6.9)× 3.9
Dy/dt=6.78ft/sec
Hence, the rate that the tip of the person's shadow moves away from the lamppost when the person is 9 ft away from the lampost is 6.78ft/sec
CHECK THE ATTACHMENT FOR THE FIQURE
Answer:
hope these answers helps u out
Step-by-step explanation:
PLZZ MARK ME AS BRAINLIEST
Answer:
23.3
Step-by-step explanation:
Use phyth. Thm.
a^2 + b^2 = c^2
A and B are the side lengths, and C is the hypotenuse. The hypotenuse is across the right angle.
Since you only have one side length and the hypotenuse this what your equation will look like:
30^2 + x^2 = 38^2
900 + x^ = 1444
544 = x^2
x = roughly 23.3
This is a fairly simple question to answer, and just requires
establishing which number within 5,438,724,022. In this case, the number
that currently exists in the hundred million place is 400,000,000, so
to add 100,000,000 to this you will get 500,000,000. When returned into
your original number, you will get the answer of 5,538,724,022.
