none are correct. the right answer is 4y=16x-8 is equivalent to y=4x-2
Answer:
- sin(X) = 6/7.5
- XY = 4.5
- cos(X) = 4.5/7.5
- tan(X) = 6/4.5
Step-by-step explanation:
It is convenient to use the Pythagorean theorem to find XY to start with. That theorem tells you ...
XZ² = YZ² + XY²
Solving for XY, you find ...
XY² = XZ² - YZ²
XY = √(XZ² - YZ²) = √(7.5² -6²) = √(56.25 -36) = √20.25
XY = 4.5
The mnemonic SOH CAH TOA is very helpful here. It reminds you that ...
Sin = Opposite/Hypotenuse
sin(X) = 6/7.5
Cos = Adjacent/Hypotenuse
cos(X) = 4.5/7.5
Tan = Opposite/Adjacent
tan(X) = 6/4.5
_____
<em>Comment on the triangle and ratios</em>
The side lengths of this triangle are in the ratios ...
XY : YZ : XZ = 3 : 4 : 5
If you recognize that the given sides are in the ratio 4 : 5, this tells you that you have a "3-4-5" right triangle with a scale factor of 1.5. At least, you can find XY = 1.5·3 = 4.5 with no further trouble.
The trig ratios could be reduced to sin(X) = 4/5; cos(X) = 3/5; tan(X) = 4/3, but the wording "don't simplify" suggests you want the numbers shown on the diagram, not their reduced ratios.
Answer:
The larger number is 60
The smaller number is 14
Explanation:
Assume that the larger number is x and that the smaller number id y.
We are given that:
1- The sum of the two numbers is 74. This means that:
x + y = 74
This equation can be rewritten as:
x = 74 - y .............> I
2- Four times the smaller number (4y) subtracted from the larger number (x), the result would be 4. This means that:
x - 4y = 4 ..............> II
Substitute with I in II and solve for y as follows:
x - 4y = 4
74 - y - 4y = 4
74 - 5y = 4
5y = 70
y = 70/5
y = 14
Substitute with the value of y in equation I to get x as follows:
x = 74 - y
x = 74 - 14
x = 60
Hope this helps :)
Answer:
ok the answer should be A.
Step-by-step explanation:
you transform the coordinates from (x,y) to (-y,x)
this means to flip the coordinates like bring y up front and change its sign and take x to the initial y position.
for example if (-1,9) when you do the transformation you get (-9,-1). you take initial -1 to the right and bring 9 to left and change its sign.
when you are done you can see that the x axis coordinates are the same but the y axis coordinates are the direct opposite. this means that after the transformation the triangle would look like the mirror image of the original triangle.
