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dsp73
3 years ago
14

Which equation(s)

Mathematics
2 answers:
GalinKa [24]3 years ago
7 0

Answer:  A) y = 7x

<u>Step-by-step explanation:</u>

In order to be a proportional relationship, the equation MUST pass through the origin (0, 0) and only contain two coordinates

A) 0 = 7(0)      --->        0 = 0 TRUE

B) 0 = 2 + 3(0) --->       0 = 2 False

C) 0 = Vz(0)    --->        Too many variables so False

D) 0 = 5 - 0    --->         0 = 5 False

Ivenika [448]3 years ago
6 0

Answer:

A, B and D

Step-by-step explanation:

What do you define as proportionality it refers to a relationship; now this relationship is defined as either directly proportional or inversely proportional.

Now take case A; y is directly proportional to X - we say y varies as X varies in a progressive or retrogressive manner .The 7 serves as a constant which comes in handy when ever an equality is been introduced to an item of proportionality.

Also in case B,

As X changes y changes- x is the sole determinant of this y and hence as X increases or decreases y does so likewise.

D ; y decreases as X increases and y increases as X decrease; here the relationship of proportionality is converse . When the graph of D is plotted using any testing values we see that the graph cuts the y axis at 5 and the X axis at 5.

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a music store sells a used guitar for $120. This is $25 more than 1/2 the cost of a new guitar of the same brand. what is the co
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$190.

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We can write the equation 120=25+1/2n where n is the cost of a new guitar. First, we subtract 25 from both sides to get 95=1/2n. Then, we multiply both sides by 2 to get 190=n. Therefore, the cost of a new guitar is $190.

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A brick is thrown upward from the top of a building at an angle of 250 above the horizontal, and with an initial speed of 15 m/s
mojhsa [17]

Answer:

(a) 25.08 m

(b) 2.05 m

Step-by-step explanation:

Let the height of the building be 'h'.

Given:

Angle of projection is, \theta=25°

Initial speed is, u=15\ m/s

Time of flight is, t=3.0\ s

(a)

Consider the vertical motion of the brick.

Vertical component of initial velocity is given as:

u_y=u\sin\theta\\\\u_y=15\sin(25)=6.34\ m/s

Vertical displacement of the brick is equal to the height of the building.

So, vertical displacement = -h (Negative sign implies downward motion)

Acceleration is due to gravity in the downward direction. So,

Acceleration is, g=-9.8\ m/s^2

Now, using the following equation of motion;

-h=u_yt+\frac{1}{2}gt^2\\-h=6.34(3)-\frac{9.8}{2}(3)^2\\\\-h=19.02-44.1\\\\-h=-25.08\\\\h=25.08\ m

Therefore, the building is 25.08 m tall.

(b)

Let the maximum height be 'H'.

At maximum height, the vertical component of velocity is 0 as the brick stops temporarily in the vertical direction.

So, v_y=0\ m/s

Now, using the following equation of motion, we have:

v_y^2=u_y^2+2gH\\\\0=(6.34)^2-2\times 9.8\times H\\\\19.6H=40.2\\\\H=\frac{40.2}{19.6}=2.05\ m

Therefore, the maximum height of the brick is 2.05 m.

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Ipatiy [6.2K]

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