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QveST [7]
2 years ago
6

Write the equation of the line parallel to the line y= 5x + 3 that passes through the point (3,3)

Mathematics
2 answers:
Vilka [71]2 years ago
6 0

Answer:

y=5x-12

Step-by-step explanation:

y=5x+3, and just replace the x and y to get the b. The slope is the same.

1) 3=5(3)+b

2)3=15+b

3)-12=b

4) y=5x-12

ra1l [238]2 years ago
5 0
ينقزلوذهبزيمبغبثذزث بهاي يختص يختص ث
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A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed
Olegator [25]

Answer:

The length of shadow decrease at 0.48 m/s.

Step-by-step explanation:

The distance of man from building = x

Thus initially, x = 12

It is given that dx/dt= -1.3 m/s

Let the shadow height = Y  

Now solve for the dy/dt when x=4

from the diagram (triangle) it can be seen similar triangles with similar base/height ratios.

\frac{2}{12-x} = \frac{y}{12} \\Y = \frac{24}{12 - x} \\ \frac{dy}{dt} = \frac{24}{(12-x)^{2}} \times \frac{dx}{dt} \\at x=4, dy/dt \ becomes: \\\frac{24}{(12-4)^2} \times -1.3 \\= -0.48 m/s

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3 years ago
I cant figure out the answer.<img src="https://tex.z-dn.net/?f=1472%20divide%20by%2032" id="TexFormula1" title="1472 divide by 3
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Answer:

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7 0
2 years ago
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A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. How many possible outco
Digiron [165]

It is given that the bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. Thus, there are four colors of cards. So, in randomly a card there are just four possible outcomes. The outcomes are:

1. A Blue Card

2. A Green Card

3. A Red Card

4. A Yellow Card

Their probabilities of occurrence will differ but it is a fact that there will be just four possible outcomes.

5 0
3 years ago
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In a dilation with a scale factor of 3/4,the image is __________ the preimage
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3 years ago
in these triangles, side AB is congruent to side DF, and side BC is congruent to side FG. Determine the values of x and y
vlada-n [284]
I added a screenshot with the complete question

Answer:
x = 3
y = 9

Explanation:
1- getting the value of x:
We are given that:
side AB is congruent to side DF. This means that:
AB = DF
3(2x+10) = 12x + 12
6x + 30 = 12x + 12
12x - 6x = 30 - 12
6x = 18
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2- getting the value of y:
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Hope this helps :)

5 0
3 years ago
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