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Answer:
Length of the rope = 15.6 ft.
Step-by-step explanation:
Given:
Height of the pole from the ground = 12 ft
Adjacent distance from the pole = 10 ft
We have to find the length of the rope attached by Scott to secure the pole.
According to the question :
In forma right angled triangle as shown in the figure.
We have to find the measure of the hypotenuse.
Length of rope = Hypotenuse measure
Let the length of the rope = "h" ft
Using Pythagoras formula.
⇒
⇒ Plugging the values.
⇒
⇒
⇒
⇒ ft
The length of the rope, rounded to the nearest tenth is 15.6 ft.
Answer:
y=x+10
y=-2x+1
(see attached picture)
Step-by-step explanation:
The idea of solving a system of equations graphically is taht both graphs cross each other at the same point.
The problem doesn't state so, but we can find the equations of the lines that pass through the desired point by using the point-slope form of the equation and by picking any slope we wish.
The slope-intercept form of a linear equation looks like this:
so let's use the following slopes: and
. Remember, you can pick any slope you wish.
so now we can substitute the provided point (-3,7) and its respective slopes:
y-7=1(x-(-3))
y=x+3+7
y=x+10
this will be our first equation.
y-7=-2(x+3)
y=-2x-6+7
y=-2x+1
so now we can plot the graphs of the given equations.
how to plot them? you can pick any x-value you like and use the provided equatioins to find the corresponding y-value. You plot the two points and build the graph.
Let's take the first equation:
y=x+10
and let's use the x-value x=0. We now substitute that into the equation so we get:
y=0+10
y=10
so now my two ordered pairs are (0,10) and (-3,7) so I can plot them on my graph and connect them with a straight line. (see attached picture.)
and we can follow the same procedure for the second graph.
let's use the x=0 again so we get:
y=-2(0)+1
y=1
so the ordered pairs are: (0,1) and (-3,7)
so we plot them to get our final graph (see attached picture)
Of course, this is one of the ways in which we can solve this problem. Since they are asking us to plot the graphs and not quite finding the equations for the system of equations, you could just draw any two lines you like and the answer would be correct as long as the two lines pass through the same point.
The total amount of the car loan, plus taxes and fees is called: A- Principal.
A principal can be defined as an amount of money that represents the total amount of loan on an asset, plus taxes and other fees applicable.
In Financial accounting, principal is commonly associated with compound interest or simple interest.
Mathematically, simple interest is given by the formula:
<u>Where:</u>
- S.I is the simple interest.
- P is the principal amount.
- R is the interest rate.
- T is the time measured in years.
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