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Varvara68 [4.7K]
3 years ago
11

4. Find MN help plzzzzz​

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
6 0

Answer:

71

Step-by-step explanation:

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10 x 10 - 4 divided by 7
TEA [102]

Answer:

13.7142857143

Step-by-step explanation:

If you need to round then do so, or i will comment the rounded version if needed.

3 0
3 years ago
What is the slope of a line that is perpendicular to the graph of y = –3x?
Morgarella [4.7K]

Step-by-step explanation:

Hey there!

The equation is; y= -3x

or, 3x+y = 0.......... (I)

From equation (I)

slope(m1) =  \frac{ - coeff. \: of \: x}{coeff. \: of \: y}

m1=  \frac{ - 3}{1}

Therefore, m= -3

Now, As per the condition of perpendicular lines;

M1*M2 = -1

-3*M2 = -1

M2= -1/-3

Therefore, the slope of a line which is perpendicular to the equation is; 1/3.

<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

7 0
3 years ago
A particle, initially at rest, moves along the x-axis such that its acceleration at time t &gt; 0 is given by a(t) = 6cos(t). At
Rom4ik [11]

a. By the fundamental theorem of calculus, the velocity function is

v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du

The particle starts at rest, so v(0)=0, and we have

v(t)=\displaystyle\int_0^t6\cos u\,\mathrm du=6\sin u\bigg|_0^t=6\sin t

Then the position function is

x(t)=\displaystyle x(0)+\int_0^tv(u)\,\mathrm du

with x(0)=6, so

x(t)=6+\displaystyle\int_0^t6\sin u\,\mathrm du=6-6\cos u\bigg|_0^t=12-6\cos t

b. The particle is at rest whenever v(t)=0; this happens for

6\sin t=0\implies \sin t=0\implies t=n\pi

where n is any integer.

3 0
3 years ago
The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with an average weight of 5
Lisa [10]

Answer: 0.4987

Step-by-step explanation:

Given : The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with

Mean : \mu=5\text { lbs}

Standard deviation : \sigma= 2\text{ lbs}

Let X be the random variable that represents the weight of randomly selected student .

Z score : z=\dfrac{x-\mu}{\sigma}

For x = 5 lbs

z=\dfrac{5-5}{2}=0

For x = 11 lbs

z=\dfrac{11-5}{2}=3

By using the standard normal distribution table ,  the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs :-

P(5

Hence, the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs =0.4987

5 0
3 years ago
Give P(-1, 8) and Q(5,12), and MN is the image of PQ under a translation of T
Brilliant_brown [7]
Coordinates of N are (-55, 6)
4 0
3 years ago
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