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Zarrin [17]
3 years ago
8

What is the system linear equations? y= -2x+19 y=x+17

Mathematics
1 answer:
tester [92]3 years ago
4 0
First set them equal to each other 

x+17=-2x+19

Solve the equation then...

3x=2

...and you would find x as 2/3

Plug that answer back in and you will find y=53/3

Hope this helps :-)
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In math class, the ratio of boys to girls in the class is 12:8. What is the ratios of the total number of students to the number
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3 years ago
A six-foot-tall person is standing next to a flagpole. The person is casting a shadow 1 1/2 feet in length, while the flagpole i
lara31 [8.8K]

Answer: 20 ft

This problem can be solved by the Thales’s theorem, which states:

<em>Two triangles are similar when they have equal angles and proportional sides  </em>

It should be noted that to apply Thales' Theorem, it is necessary to establish <u>the two triangles are similar</u>, that is, that t<u>hey have the corresponding angles equal or that their sides are proportional to each other.  </u>

<u />

Now, if we measure the shadow of the flagpole and the shadow of the person, <u>at the same moment</u>, we can use the first Thales' Theorem to calculate the height of the flagpole, knowing the height of the person.

In this case we have two similar triangles (Figure attached) where H is the height of the flagpole, h=6 ft is the height of the person, A=5 ft is the length of the shadow of the flagpole and a=1\frac{1}{2}=1.5 ft is the length of the shadow of the person.

Having this clear, we can write the following relation with both similar triangles:

\frac{H}{h}=\frac{A}{a}   (1)

We know all these lengths except H, which is the value we want to to find.  

So, in order to approach this problem we have to find H from equation (1):  

H=\frac{A}{a}h  

H=\frac{5 ft}{1.5 ft}(6 ft)  

Then:

H=20 ft >>>>>This is the height of the flagpole

4 0
4 years ago
If f(x) = 4x - 3, evaluate f(2).
hjlf

Answer: f(2) = 5

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3 years ago
the kline family went on vacation last year and paid $199 a night for the hotel room. This year, the price has increased by 5% .
dangina [55]

Answer: $208.95

Step-by-step explanation: $199 x .05= 9.95 + $199= $208.95

8 0
3 years ago
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