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makkiz [27]
3 years ago
7

What is the vertex of the function y=|x+3| - 2?

Mathematics
2 answers:
dmitriy555 [2]3 years ago
8 0

Answer:#3

Step-by-step explanation: The vertex form of this equation is y= | x-a | + b. So -(-x) would equal x. In the third answer choice, the x coordinate would be represented by a negative 3 (because two negatives make a positive). The y coordinate would be -2 because N + (-2) = N - 2, thus giving the answer of (-3,-2)

I hope this helped!!

mylen [45]3 years ago
4 0

Answer:

3. (-3,-2)

Step-by-step explanation:

For an absolute value the equation, the transformations are as shown:

y= ±a|b(x-h)|+k.

'h' and 'k' are the vertex coordinates, meaning if y= |x+3|-2:

h= -3

and k= -2

Therefore, we get:

(-3,-2)

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hichkok12 [17]

Answer:

Part a) BC=10\ units

Part b) AC=13.66\ units

Step-by-step explanation:

step 1

Find the length side BC

Applying the law of sines

we know that

\frac{AB}{sin(C)}=\frac{BC}{sin(A)}

we have

AB=5\sqrt{2}\ units

A=45^o

C=30^o

substitute

\frac{5\sqrt{2}}{sin(30^o)}=\frac{BC}{sin(45^o)}

solve for BC

BC=\frac{5\sqrt{2}}{sin(30^o)}(sin(45^o))

BC=10\ units

step 2

Find the measure of angle B

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

so

m\angle A+m\angle B+m\angle C=180^o

substitute the given values

45^o+m\angle B+30^o=180^o

75^o+m\angle B=180^o

m\angle B=180^o-75^o

m\angle B=105^o

step 3

Find the length side AC

Applying the law of sines

we know that

\frac{AB}{sin(C)}=\frac{AC}{sin(B)}

we have

AB=5\sqrt{2}\ units

A=45^o

B=105^o

substitute

\frac{5\sqrt{2}}{sin(30^o)}=\frac{AC}{sin(105^o)}

solve for AC

AC=\frac{5\sqrt{2}}{sin(30^o)}(sin(105^o))

AC=13.66\ units

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Step-by-step explanation:

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