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const2013 [10]
3 years ago
7

5x + 9 = x - 23 find X​

Mathematics
1 answer:
Doss [256]3 years ago
7 0

5x + 9 = x - 23

move x to the other side

sign changes from +x to -x

5x-x+9= x-x-23 ( combine like terms)

5x-x+9= -23

4x+9= -23

move -9 to the other side

4x+9-9= -23-9

4x= -23-9

4x= -32

divide both sides by 4 to get x by itself

4x/4= -32/4

answer:

x= -8

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Answer:

(3, 24)

Step-by-step explanation:

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3 years ago
The curves r1(t) = 2t, t2, t4 and r2(t) = sin t, sin 5t, 2t intersect at the origin. Find their angle of intersection, θ, correc
masya89 [10]

Answer:

Therefore the angle of intersection is \theta =79.48^\circ

Step-by-step explanation:

Angle at the intersection point of two carve is the angle of the tangents at that point.

Given,

r_1(t)=(2t,t^2,t^4)

and r_2(t)=(sin t , sin5t, 2t)

To find the tangent of a carve , we have to differentiate the carve.

r'_1(t)=(2,2t,4t^3)

The tangent at (0,0,0) is     [ since the intersection point is (0,0,0)]

r'_1(0)=(2,0,0)      [ putting t= 0]

|r'_1(0)|=\sqrt{2^2+0^2+0^2} =2

Again,

r'_2(t)=(cos t ,5 cos5t, 2)

The tangent at (0,0,0) is    

r'_2(0)=(1 ,5, 2)        [ putting t= 0]

|r'_1(0)|=\sqrt{1^2+5^2+2^2} =\sqrt{30}

If θ is angle between tangent, then

cos \theta =\frac{r'_1(0).r'_2(0)}{|r'_1(0)|.|r'_2(0)|}

\Rightarrow cos \theta =\frac{(2,0,0).(1,5,2)}{2.\sqrt{30} }

\Rightarrow cos \theta =\frac{2}{2\sqrt{30} }

\Rightarrow cos \theta =\frac{1}{\sqrt{30} }

\Rightarrow  \theta =cos^{-1}\frac{1}{\sqrt{30} }

\Rightarrow  \theta =79.48^\circ

Therefore the angle of intersection is \theta =79.48^\circ.

8 0
3 years ago
Reflexive property of equality: 3x-1=
kkurt [141]
3x - 1 = 3x -1 because it's reflecting itself
7 0
3 years ago
A school creates a histogram representing the individual travel times for students riding the bus to school. The histogram is ri
aliya0001 [1]

THIS IS THE COMPLETE QUESTION;

A school creates a histogram representing the individual travel times for students riding the bus to school. The histogram is right-skewed, and the mean time is 25 minutes.

Which statement best describes the possible value of the median time of students riding the bus to school?

The median time is less than 25 minutes.

The median time is exactly equal to 25 minutes.

The median time is approximately equal to 25 minutes.

The median time is greater than 25 minutes.

Answer;

The median time is less than 25 minutes

Step-by-step explanation

✓When the histogram is skewed right, it implies that the mean is greater than the median which means The median time is less than the mean.

This is as a result of few large values that drive as a result of skewed-right data

✓Skewness can be explained as measure of the asymmetry of a histogram When a histogram is symmetrical when it has a normal distribution, i.e when the same amount of data falls on both sides of the mean. Ahistogram has a normal distribution will have a skewness of 0.

✓the skewness can be explained in terms positive/right relationship:

√nonparametric skew implies that the mean is greater than the median, which means it is at the the right.

√A negative/left nonparametric skew can be explained as when the mean is < the median. I e it fall to the left .

Therefore, the median is less than 25 minutes

7 0
3 years ago
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Scorpion4ik [409]
21(5+85)/2= 21•45= 945
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