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hram777 [196]
3 years ago
10

What is the value of y? Enter your answer, as an exact value, in the box.

Mathematics
1 answer:
OLga [1]3 years ago
7 0
We know the bottom triangle is a 45, 45, 90 triangle, so the hypotenuse is √2 times the value of the legs:

(√2)(√2)
=√4
=2

Now, we can use this to solve for y. The top triangle is a 30, 60, 90 triangle. The side we found above is the side across from the 30 degree angle. The side opposite the 60 degree angle is √3 times the side across the 30 degree angle. Therefore, we can solve for y by multiplying 2 by √3

y=2√3
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In which of the following units is acceleration expressed?
SIZIF [17.4K]
C because it says per second and accelaration means movement basically.
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PLEASE HELP!!! (20 POINTS)
LuckyWell [14K]
It’s either b or d give me a moment to get the positive answer
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2 years ago
Carlota wrote the equation y + 1 = 2 (x - 3) for the line passing through the points (-1, 3) and (2, 9). Explain and correct her
Art [367]

For this case we have the following equation:


y + 1 = 2 (x - 3)

That can be rewritten in the form y = mx + b

Where:


  • m is the slope of the line
  • b is the cut point

So, we have:


y + 1 = 2 (x - 3)\\y + 1 = 2x-6\\y = 2x-6-1\\y = 2x-7

Where:


m = 2 is the slope


b = -7 is the cut point


Carlota has the following points:


(-1, 3) and (2, 9)


To know if the line y = 2x-7 passes through these points, we must replace them in the equation and the equality must be fulfilled. So:


Point (-1, 3):


Substituting:


3 = 2 (-1) -7\\3 = -2-7

3 = -9 It's false, equality is not met. The point (-1, 3) does not go through the line.


The equation written by Carlota is erroneous, the procedure to follow is:


Given(x1, y1) = (- 1, 3) and(x2, y2) = (2, 9), we find the slope:


m=\frac{(y2-y1)}{(x2-x1)}

m=\frac{(9-3)}{(2-(-1))}

m=\frac{6}{3}

m=2

We observe that the slope found by Carlota is the same. Let's see cut point "b". For this we substitute any of the points given in the equation:


y = 2x + b

Substituting (2,9) we have:


9 = 2 (2) + b\\9 = 4 + b\\b = 9-4\\b = 5

Thus, Carlota's error was at the cut-off point. The correct equation of the line that passes through the given points is y = 2x + 5

Answer:


The correct equation of the line that passes through the given points is y = 2x + 5

Carlota's mistake was at the cutoff point


5 0
2 years ago
12% of birr x is 840,what is the value of x​
Diano4ka-milaya [45]

The value of x will be 7000 for the expression 12 % x = 840.

We are given a number x.

We are also given as 12 % of x is 840

writing it in the form of an expression, we get that:

12 % x = 840

12 / 100 × x = 840

12 x = 84,000

Dividing both sides by 12, we get that:

12 x / 12 = 84,000 / 12

x = 7000

Therefore, the value of x will be 7000.

Learn more about an expression here:

brainly.com/question/723406

#SPJ9

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Greeley [361]
THE ANSWER IS B $115 plz mark me brainliest i want points :’)
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