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Hoochie [10]
3 years ago
6

Q2 (i). A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”. (ii) Another line “r” is perpendicular to the li

ne 3y = 6x + 9. Find the gradient of the line “r”. plz can anyone tell me by doing the practice on the copy I will be thankful
Mathematics
2 answers:
Mariulka [41]3 years ago
7 0

Answer: 6 and -1/6

Step-by-step explanation:

solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.

poizon [28]3 years ago
5 0

Answer:

1) 2

2) -1/2

Step-by-step explanation:

1) 3y= 6x+9

y= 2x+3

Slope is 2

Parallel line "t" has the same slope, it will have equation:

y= 2x+b

2) y =2x+3

Perpendicular line"r" has a slope opposite-reciprocal to this, so the slope will be -1/2, the equation for line"r" is:

y= -1/2x +b

The gradient of the line is same as slope and it is -1/2 for line"r"

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8. A substance has a half life of 2.347 minutes.
mina [271]

Answer:

a.) 4 half lives have passed

b) 9.388 minutes

Step-by-step explanation:

Formula for exponential growth / decay is given as:

A=A_0b^{\frac{t}{c}}

Where A is the final population

A_0 is the initial population

b is the growth factor

c is the time taken for the growth 'b'

t is the amount of time

Here, we are given that:

A = 6. 9 grams

A_0 = 110.4 grams

b = \dfrac{1}{2}

c = 2.347 min

To find:

a.) Number of half lives taken for the decay.

b.) Total time in the decay.

Solution:

a.) Number of half lives taken for the decay is nothing but equal to \frac{t}{c}.

Putting the values in the formula, we get:

6.9=110.4\times \frac{1}2^{\frac{t}{c}}\\\Rightarrow 6.9=110.4\times 0.5^{\frac{t}{c}}\\\Rightarrow 0.0625=0.5^{\frac{t}{c}}\\\Rightarrow \dfrac{t}{c} =4

Therefore, the answer is:

<em>4 half lives </em>have passed.

b.) Total time of decay. We have to find the value of t here.

From answer of part a.):

\dfrac{t}{c} =4\\\Rightarrow \dfrac{t}{2.347} =4\\\Rightarrow t =\bold{9.388\ min}

7 0
2 years ago
I NEED HELP The measure of an angle is 74.6°. What is the measure of its supplementary angle?
Contact [7]

Answer:

105.4º

Step-by-step explanation:

supplementary angles total 180º

180 - 74.6 = 105.4º

8 0
2 years ago
I can't find the value of Y​
Lubov Fominskaja [6]

114 = 19y

This is true because they are vertical angles. Now, let's divide both sides by 19

6 = y

5 0
2 years ago
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a body starts its motion with speed of 10m/s and accelerates for 10s with 10 m/s. what will be the distance covered by the body
pochemuha

Answer:

600 m.

Step-by-step explanation:

We can use one of the equations of motion under constant acceleration. The one we want here is s = ut + 0.5at^2, where s = distance travelled, u = initial speed, a = acceleration and t = time.

We have:  s =  10*10 + 1/2 * 10 * 10^2

= 100 + 500

= 600 m.  (answer)

6 0
2 years ago
What is 6y-3x=-18 written in slope-intercept form?
Novay_Z [31]
Y=1/5x-3 (subtract x on each side then divide each by 6)
6 0
3 years ago
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