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artcher [175]
2 years ago
9

Please help!!

Mathematics
1 answer:
Kamila [148]2 years ago
4 0

The relationship between the trigonometric ratios are cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)

<h3>The relationship between the trigonometric ratios</h3>

The given parameters are:

  • Scale factor of dilation, k = 2
  • cos(X) = 2.5/5/59

Since the transformation is a dilation, it means that both triangles are similar.

So, we have:

cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)

<h3>The segments AC and AB. </h3>

In (a), we have:

Both triangles are similar.

This means that the corresponding points are:

X and A

Y and  C

Z and B

So, we have:

AC = 2 * XY

AB  = 2 * XZ

Read more about dilation at:

brainly.com/question/13176891

#SPJ1

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You buy a watch for 60$. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sal
OleMash [197]

Answer:

just subtrace 15

Step-by-step explanation:

3 0
3 years ago
Solve 5(y - 10) = -5
leonid [27]

Answer:

y = 9

Step-by-step explanation:

Trying to get the variable alone is the main goal in solving these

to get the variable alone here we can divide both sides by 5, which gets us

y - 10 = -1

now we can add 10 to both sides to get  y = 9

8 0
2 years ago
What is the vertex form of the quadratic function that has a vertex at (5, 4)
MArishka [77]
Tbh I’m not sure
I think it’s D-y=5(x - 5)2 - 3
I’m sorry if this is wrong
5 0
3 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
3 years ago
The graph of a linear function passes through the point (2,5) and a slope of 3
Delicious77 [7]

Answer:

y=3x-1

Step-by-step explanation:

The point slope form of a line is (y-y_1)=m(x-x_1) where x_1=2\\y_1=5. We write  

(y-5)=3(x-2)

Convert point slope form to slope intercept form by simplifying and rearranging.

y-5=3(x-2)\\y-5=3x-6\\y=3x-1


8 0
3 years ago
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