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zaharov [31]
2 years ago
10

1) A line with gradient 2 passes through (0, 4). Write down the equation of the line.

Mathematics
1 answer:
blondinia [14]2 years ago
7 0

<em>For</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>image</em><em>,</em><em> </em><em>note</em><em> </em><em>that</em><em> </em><em>slope</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>same</em><em> </em><em>thing</em><em> </em><em>as</em><em> </em><em>gradient</em><em>.</em>

1) y = 2x + 4

2) Substituting in x = 1 and y = 1,

1 = 4(1) + c

1 = 4 + c

c = -3

So, the equation is y = 4x - 3

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Marcel is performing the first test on his company's new electric car. During the test, the electric car reaches a maximum speed
valentina_108 [34]

Answer:

C. The electric car is not moving at 0 seconds and 12 seconds.

Step-by-step explanation:

Given:

The table given is:

x   0   2    4     6      8      10      12  

y   0   45  72   81    72     45     0

From the above table, we observe that the car starts from rest and its speed increases from 0 to 6 seconds, the maximum speed being 81 mph.

After 6 seconds, the speed of the car goes on decreasing till it stops at time equal to 12 seconds.

So, the speed of the car at the start when x=0 is 0 mph as it is at rest at that time.

Also, when the time is x=12\ s, the car has come to a stop and thus its speed has reduced to 0 mph again. So, the car is not moving after 12 seconds.

From the above conclusion, we can say that only option C is correct.

The electric car is not moving at 0 seconds and 12 seconds.

3 0
2 years ago
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I need help with this question, please.
Agata [3.3K]

Answer:

1 slice will be left because there are 16 slices and 15 guests

Step-by-step explanation:

3 0
3 years ago
Gertie ran 3/4 mile during physical education class. Sarah ran 2/4 mile during the same class. How much farther did Gertie run t
Marizza181 [45]
Gertie   3/4 mile.

Sarah    2/4 mile.

Gertie ran farther by:   3/4  -  2/4  =  (3 -2)/4  = 1/4

Gertie ran farther by 1/4 mile.

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maxonik [38]
This is really obvious but the answer is 4 feet.
6 0
3 years ago
Please help me find y and show work/steps. I don't know how to do it
trasher [3.6K]

We will check if y and 60cm are parallel.

If the lengths 28cm, 56cm and 15cm, 30cm are in proportion, then y and the segment 60cm are parallel.

\dfrac{56}{28}=\dfrac{30}{15}\\\\2=2\qquad CORRECT!

OK. We know: y and 60cm are parallel. Therefore we have equation:

\dfrac{y}{28+56}=\dfrac{60}{56}\\\\\dfrac{y}{84}=\dfrac{15}{14}\qquad|\text{cross multiply}\\\\14y=15\cdot84\qquad|\text{divide both sides by 14}\\\\y=90cm

<h3>Answer: y = 90 cm.</h3>
5 0
3 years ago
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