Answer:
(1+√7,0),(1−√7,0)
Step-by-step explanation:
You can't factor the expression evenly, so use the quadratic formula.
a = 2
b= -4
c= -12
End result: (1+√7,0),(1−√7,0)
Answer:
r·sin Ф = 5(r·cos Ф) - 2
Step-by-step explanation:
y = r·sin Ф and x = r·cos Ф, and so
y = 5x - 2 becomes
r·sin Ф = 5(r·cos Ф) - 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:
According to the 180°-rotation rule, you take the OPPOSITE of both the x-coordinate and y-coordinate:
180°: [<em>x</em>, <em>y</em>] → [<em>-x</em>, <em>-y</em>]
I am joyous to assist you anytime.
The statements that are true are angle MNL is complementary to angle KNL and angle GNM is supplementary to angle JNK. Option B and E
<h3>How to determine the statements</h3>
Ray NL creates two angles in the lower right quadrant.
The two angles created form a total of 90°, so the two angles formed are complementary. The relation is given as;
∠MNL + ∠KNL = ∠MNK = 90°
Hence ∠MNL and ∠KNL are complementary
∠GNM and ∠JNK are both right angles (and also vertical angles). They sum up to180°. They can be said to be supplementary.
∠GNM and ∠JNK are supplementary
Thus, the statements that are true are angle MNL is complementary to angle KNL and angle GNM is supplementary to angle JNK
Learn more about supplementary angles here:
brainly.com/question/2046046
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