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3 years ago

Select all the statements that are true for the graph shown.

Mathematics

2 answers:

Yuki888 [10]3 years ago

3 0

Answer:

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

Step-by-step explanation:

The line in the question passes through origin and (4,-12).

The rate of change of the line is

$m=\dfrac{-12-0}{4-0}\\\Rightarrow m=\dfrac{-12}{4}\\\Rightarrow m=-3$

The rate of change of the line or slope of the line is -3

Equation of the line is given by

$(y-0)=-3(x-0)\\\Rightarrow y=-3x$

This means that the relationship is linear.

If we take any value of x then there will be only one value of y this means that the relationship is proportional.

So the following statements are true

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

professor190 [17]3 years ago

3 0

Answer:

Step-by-step explanation:

Proportional

Linear

Equation of line is y=-3x

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Answer the question below

lys-0071 [83]

Answer:

A) -1

Step-by-step explanation:

$\frac{3 + 2\sqrt{5} }{2\sqrt{5}-3 } \\$

We can rewrite 2√5 - 3 as -(3 + 2√5)

Therefore,

$\frac{3+ 2\sqrt{5} }{-(3 + 2\sqrt{5} )} \\$

We can cancel out 3 + 2√5 both in the numerator and the denominator. So we get

= 1/-1

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Answer : A) -1

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3 years ago

If tan A = 4/3 and sin B = 45/53 and angles A and B are in Quadrant I, find the value of tan(A+B)

lbvjy [14]

Answer:

First, find tan A and tan B.

cosA=35 --> sin2A=1−925=1625 --> cosA=±45

cosA=45 because A is in Quadrant I

tanA=sinAcosA=(45)(53)=43.

sinB=513 --> cos2B=1−25169=144169 --> sinB=±1213.

sinB=1213 because B is in Quadrant I

tanB=sinBcosB=(513)(1312)=512

Apply the trig identity:

tan(A−B)=tanA−tanB1−tanA.tanB

tanA−tanB=43−512=1112

(1−tanA.tanB)=1−2036=1636=49

tan(A−B)=(1112)(94)=3316

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2 years ago

Find the supplement of an angle that measures 20 degrees.

OLEGan [10]

Supplementary angles add to be 180 degrees. If one angle is 20. The supplement angle is 160.
180 - 20 = 160
160 is your answer.

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2 years ago

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Rainbow [258]

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alina1380 [7]

Answer:

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9x +3 = 10x -2

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