Can someone please answer this I’m stuck

Answers

Answer 1

Answer: The system has no solutions.
To do this question I started out by trying to solve the simultaneous equations using substitution.
First we can simplify 6x = 12y - 24 by dividing everything by 6, which gives us:
x = 2y - 4
Then we can substitute this into the second equation:
30y - 15(2y - 4) + 30 = 0
30y - 30y + 60 + 30 = 0
90 = 0
As this is obviously not true, we can conclude that the system has no solution.
I hope this helps! Let me know if you have any questions :)

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Sam is observing the velocity of a car at different times. After three hours, the velocity of the car is 51 km/h. After five hours, the velocity of the car is 59 km/h. Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times. Show your work and define the variables used. (5 points) Part B: How can you graph the equation obtained in Part A for the first six hours?

WILL CHOOSE BRAINLIEST! PLEASE HELP! 15 POINTS!Find the area of the shaded segment of the circle.

Answers

[(81*3.14)/4] - (81/2)

Answer:

The shaded segment = The arc area - The triangle

The arc area = pi x radius^2 x angle/360

= pi x 9^2 x (360-270)/360 = 63.61 (m2)

The triangle area = 9 x 9/2 = 41.5 (m2)

(because this is right triangle)

=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)

What is the perimeter of the triangle expressed as a polynomial? Length: 8x-2
Length: 5x-4
Width: 9x-3
If you could show me how you got the complete answer I would really appreciate it.

Answers

The perimeter is the sum of the lengths of the three sides of the triangle. If "width" is the length of the 3rd side, then the perimeter is
P = (8x-2) + (5x-4) + (9x-3)
P = 8x + 5x + 9x -2 -4 -3
P = (8+5+9)x -(2+4+3)
P = 22x - 9

Part 1: Find the tangent line approximation to cos x at x=π/4.Part 2: To one decimal place, estimate the maximum value of the error on the interval 0≤x≤π/2.

Answers

Equation of the tangent line is ${2}(y+x)= (\pi)/(4)+1$ and maximum value of the error is 1.3

Part 1: Equation of the tangent line is $y-y_(1) =m(x-x_(1) )$

Let y=cos(x) then

$y((\pi)/(4)) =cos((\pi)/(4)) \ny=(1)/(√(2) )$

Now, find a slope

$y=cos(x)\ny'=-sin(x)\ny'((\pi)/(4) ) =-(1)/(√(2) )$

Equation of the tangent line is:

$y-\frac{1}√(2) } =-(1)/(√(2) ) (x-(\pi)/(4) )\n{2}(y+x)= (\pi)/(4)+1$

Part 2: Tangent line to approximate the value at x=pi/2

$y=(-√(2) \pi)/(8)+(1)/(√(2) ) \ny=1.3$

The maximum value of error is 1.3

Learn more:brainly.com/question/15523943

Part 1: To find the tangent line, we need a point and a slope because we are using point slope form: y-y1=m(x-x1)
To get the y-value for our point, plug pi/4 into the original as x
y=cos(x)
y=cos(pi/4)
y=√2/2
Then to find a slope, we need to get the derivative:
y=cos(x)
y'=-sin(x) (and plug in pi/4 as x to find the slope at this point)
=-sin(pi/4)
=-√2/2

So the tangent line is y-√2/2=-√2/2(x-pi/4)

Part 2: I'm not positive on this but I think you're supposed to use this tangent line to approximate the value at x=pi/2 and find the degree of error.
y-√2/2=-√2/2(pi/2-pi/4)
y=-pi√2/8+√2/2
y=1.3 rounded to the nearest tenth

So since we know that cos(pi/2) is actually 0, the maximum value of error would be 1.3 (1.3-0=1.3)

Hope this helps

Tomika plans to run 84miles in 4weeks.If she continues the pattern how many miles will she run in a year

Answers

Answer:

She will run a distance of 1095.78 miles per year.

Explanation:

Number of days in a year = 365.25

Number of days in a week = 7

Number of weeks in a year = 365.25/7 = 52.18 weeks.

Tomika plans to run 84 miles in 4 weeks.

Distance run by Tomika in 1 week = 84/4 = 21 miles.

Distance run by Tomika in 1 year = 21*52.18 = 1095.78 miles

So she will run a distance of 1095.78 miles per year.

If Tomika continues the pattern, she will run approximately 1,092 miles in a year.

How to get the miles ran

There are 52 weeks in a year, so you can divide 52 by 4 to find out how many 4-week periods there are in a year:

Number of 4-week periods in a year = 52 weeks / 4 weeks/period = 13 periods

Now, multiply the miles she runs in each 4-week period (84 miles) by the number of 4-week periods in a year (13 periods):

Total miles in a year = 84 miles/period × 13 periods

Total miles in a year = 1,092 miles

So, if Tomika continues the pattern, she will run approximately 1,092 miles in a year.

Read more on pattern here brainly.com/question/28580633

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What is the equation of the line that passes through the point (5,1) and has a slope if 6/5

Answers

Answer:

y = 6/5x - 5

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Literal Equations:
C=2πr solve for r

Answers

$\sf C = 2\pi r\n\n Divide~both~sides~by~2\pi\n\n\boxed{\bf{r = (C)/(2\pi)}}$

Hope this helped! If you have any other questions or would like further explanation just let me know!! :)

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