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erastovalidia [21]
3 years ago
11

Need to find the value of y

Mathematics
1 answer:
alexgriva [62]3 years ago
3 0

Answer:

√55

Step-by-step explanation:

Notice that the small triangle in the bottom corner shares an angle with the overall triangle.  Also, they are both right triangles.  Therefore, they are similar triangles.

Notice that the large triangle at the top shares an angle with the overall triangle and is also a right triangle.  Therefore it is also similar to the overall triangle and the smaller triangle.

Writing a proportion between the small and large triangles:

y / 11 = 5 / y

y² = 55

y = √55

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Question Which of these strategies would eliminate a variable in the system of equations? 2x - y = 11 5x + 3y = -11 How many pos
kenny6666 [7]

Answer:

Elimination (multiplication and subtraction)

There is 1 solution

Step-by-step explanation:

The only way to solve this system of equations is by elimination (multiplication). Let's say that we want to cancel out the x. You multiply the first equation by 5 and you multiply the second equation by 2.

Your equations now are:

10x-5y=55 and 10x+6y=-22

You can subtract these equations to get -11y = 77.

Now that we know that y = -7, we can substitute y in to solve x.

10x-5(-7) = 55

10x=20

x=2

Final answer (2,-7)

3 0
3 years ago
Simplify (x^14)^3 <br><br> ffffffffffffffffffffffffffffff
Salsk061 [2.6K]

Answer:

(x^{14}) ^{3} = x^{42}

Step-by-step explanation:

In this case in order to simplify we need to know what the "power rule of exponents" is. Simply speaking this rule states that when you raise a power to  a power you multiply the exponents. So in our case we ill get the following

(x^{14}) ^{3} = x^{42}

In order to get 42 we used the power rule which I mentioned earlier.

3 0
3 years ago
Hiroshi has 4 engines and 18 box cars. Find the ratio of engines to box cars. Write the ratio as a fraction in simplest form.
lyudmila [28]
To write a ratio as a fraction, we simply take the first number in the ratio and make it the numerator while taking the second number in the ratio and making it the denominator.

Because we want the ratio of engines to box cars, our ratio should be:

number of engines/number of box cars

When we substitute in our respective values, we get:

4/18

To simplify this ratio, we have to find the GCF, or greatest common factor of the numerator and the denominator, which in this case is 2. To simplify, we divide both the numerator and the denominator by the GCF, as follows:

4/2 / 18/2

When we simplify, we get:

2/9

Therefore, your answer is 2/9.

Hope this helps!
4 0
3 years ago
How do i write the difference of a number x and 2 is 7 as an equation
HACTEHA [7]

You can quiet literally write the question as it is.

The difference of a number x and 2 is 7.

The difference of a number x and 2 can be written as x-2

is can be written as equal or =

This statement can be translated as x-2=7.

It is as simple as that!

5 0
3 years ago
What is the slope of the line shown below?
Ne4ueva [31]
The answer is c.2 I hope it’s right
5 0
3 years ago
Read 2 more answers
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