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Degger [83]
2 years ago
8

Chose an equation below that represents the line passing through the point (-2,-3) with a slope of -6

Mathematics
1 answer:
olganol [36]2 years ago
3 0
Hey there!

Let's take a look at this problem... Okay so for these questions there is formula known as the point-slope formula that is used...

(y - y₁) = m(x - x₁)

From here on out you substitute in your given values...

(y + 3) = -6(x + 2)
y + 3 = -6x -12
<u>y = -6x -15</u><u />                <----- That's your answer! 

I hope this helped you!

<u>Please vote me for Brainliest if there is a second answer!</u><u /> ^__^
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If y varies directly as the square of x and y = 12 when x = 2 find the value of x when y = 108
dolphi86 [110]
108/12 = 9 so when y = 108 x = 9×2 which = 18 so when y =108 x = 18
8 0
3 years ago
Given the points (8,9) and (2,7) find the slope M=
Goshia [24]

Answer:

1/3

Step-by-step explanation:

7-9=-2

2-8=-6

2/6 is 1/3 when simplified

3 0
2 years ago
The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a
AlekseyPX

Answer:

The time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

Step-by-step explanation:

We are given that the time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 40 seconds.

The fitness association wants to recognize the fastest 10% of the boys with certificates of recognition.

<u><em>Let X = time for this event for boys in secondary school</em></u>

SO, X ~ Normal(\mu=460,\sigma^{2} =40^{2})

The z-score probability distribution for normal distribution is given by;

                               Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean time = 460 seconds

            \sigma = standard deviation = 40 seconds

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

<u>Now, it is given that the fitness association wants to recognize the fastest 10% of the boys with certificates of recognition, which means;</u>

       P(X > x) = 0.10   {where x is the required time which boy need to beat}

       P( \frac{X-\mu}{\sigma} > \frac{x-460}{40} ) = 0.10

        P(Z > \frac{x-460}{40} ) = 0.10

<em>So, the critical value of x in the z table which represents the top 10% of the area is given as 1.2816, that is;</em>

<em>                   </em>      \frac{x-460}{40} =1.2816

                         {x-460}{} =1.2816\times 40

<em>                           </em>x = 460 + 51.264 = <u>511.264 seconds</u>

Hence, the time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

8 0
3 years ago
Estimate 63,266 -42,657 by first rounding each number to the nearest thousand.
zmey [24]

Answer:

106,000

Step-by-step explanation:

3 0
2 years ago
For which of the following compound inequalities is there no solution?
Alexxx [7]

Answer: -4m-10< -22 and -8>22

Step-by-step explanation:

3 0
3 years ago
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