MATHEMATICS HIGH SCHOOL

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Which equation represents the graph of the linear function?
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Answers

Answer 1
Answer:
The line on that graph is sloping down as it proceeds from
left to right, it drops 3 units for every 1 unit to the right, and
it crosses the y-axis at y=1 .

So the equation of that line is      y = -3x + 1 .

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Which answer is equal to ( sqrt 7)^3?
A.7 3/2
B.7 2/3
C.7 1/6
D.7 1/3

Answers

(√(7))^(3)
√(7)√(7)√(7)
√(7 * 7 * 7)
√(49 * 7)
√(343)
√(49 * 7)
√(49)√(7)
7√(7)
(7)^{(3)/(2)}

The answer is A.
Try D As your Answer.

Solve the triangle.

B = 72°, b = 12, c = 8

Answers

Answer:

Part 1) C=39.3\°

Part 2) A=68.7\°

Part 3) a=11.8\ units

Step-by-step explanation:

we know that

Applying the law of sines

(a)/(sin(A))=(b)/(sin(B)) =(c)/(sin(C))

In this problem we have

B=72\°

b=12\ units

c=8\ units

Step 1

Find the measure angle C

(b)/(sin(B)) =(c)/(sin(C))

substitute the values and solve for C

(12)/(sin(72\°)) =(8)/(sin(C))\n \nsin(C)=sin(72\°)*(8/12)\n \nsin(C)= 0.6340\n \nC=39.3\°

Step 2

Find the measure of angle A

we know that

The sum of the internal angles of the triangle must be equal to 180 degrees

so

m<A+m<B+m<C=180\°

we have

m<B=72\°

m<C=39.3\°

m<A+72\°+39.3\°=180\°

m<A=180\°-72\°-39.3\°=68.7\°

Step 3

Find the measure of side a

Applying the law of cosines

a^(2)=b^(2)+c^(2)-2(b)(c)cos(A)

substitute

a^(2)=12^(2)+8^(2)-2(12)(8)cos(68.7\°)

a^(2)=208-(192)cos(68.7\°)

a^(2)=138.26

a=11.8\ units
The answer is 12^2=x^2+8^2-16x(cos(72°) 
x^2-4.9443x=80 
(x-2.4721)^2=86.1115 
x-2.4721=±9.2796 
x=11.7517 

B=72°, b=12, c=8, a=11.8 
C=arcsin(8/12*sin(72°))=39.3° 
A=68.7° 

This one just scares me how do i even figure this out?

Answers

Because the middle point is in the center of the square, the triangle containing angle 2 is isosceles and right (since two sides are equal to half the square's side length), so angle 2 measures (180-90)/2=45 degrees.

Answer:

this is c

Step-by-step explanation:

Luisianna

If ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by what criterion?A) yes, by AA similarity criterion
B) yes, by SAS similarity criterion
C) yes, by SSA similarity criterion
D) no, not possible to tell.

Answers

Answer:

Option A is correct.

Yes, by AA similarity criterion

Step-by-step explanation:

AA(Angle-Angle) Similarity Criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

In ΔBAC and ΔCED

\angle BAC = \angle CED = 17^(\circ)   [Angle]        [Given]

\angle C = \angle C     [Angle]          [Common angle]

Therefore, by AA similarity criterion;

\triangle BAC \sim \triangle CED

Therefore,  ΔBAC and ΔCED are similar by AA similarity criterion.
If ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by yes, by AA similarity criterion 

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

How is the graph of y=-2(3)^x+4 translated from the graph of y=2(3)^x

Answers

From the graph of y=2(3)^x:
The negative sign on the coefficient means a reflection across the x-axis. The plus 4 means shifted up 4 units.
It is reflected across the x-axis and the constant multiplicative rate is increased by four, downwards

Which events are independent? Select each correct answer. A)A spinner is spun and a coin is flipped.
B)One ball is drawn from a bag of balls after another ball is drawn without replacement.
C)Two number cubes are rolled at the same time.
D)White marbles are drawn from a bag of marbles without replacing the marbles

Answers

Answer:

Independent events are those events when the happening of one event does not affect the happening the other event.

In the given example we have the following events as independent:

A) A spinner is spun and a coin is flipped

C) Two number cubes are rolled at the same time.

Both these events are independent because the happening of one event does not affect the other in both the cases.

But the options B and D are not independent because in both the cases happening of first event affects the happening of the next event. Therefore, the correct options are A and C.  

Answer:

A) A spinner is spun and a coin is flipped

C) Two number cubes are rolled at the same time
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