Question

Find the slope of the line through (1,1) and (x,y) for y=x^2+2 when: (Note: Ensure you carry enough significant digits in your calculation to arrive at an accurate answer.) x= 2.03 x=2+h

63

likes
313 views

Answer to a math question Find the slope of the line through (1,1) and (x,y) for y=x^2+2 when: (Note: Ensure you carry enough significant digits in your calculation to arrive at an accurate answer.) x= 2.03 x=2+h

Expert avatar
Maude
4.7
95 Answers
To find the slope of the line passing through the points (1,1) and (x,y) for the equation y = x^2 + 2, we need to first find the values of y and then calculate the slope using the formula:

Slope (m) = (y2 - y1) / (x2 - x1)

Let's solve the problem step by step:

Step 1: Substitute the given value of x into the equation y = x^2 + 2 to find the value of y.

For x = 2.03:
y = (2.03)^2 + 2
y = 4.1209 + 2
y = 6.1209

Step 2: Now, we have the two points: (1,1) and (2.03, 6.1209).

Step 3: Calculate the slope using the formula:

Slope (m) = (y2 - y1) / (x2 - x1)

Slope (m) = (6.1209 - 1) / (2.03 - 1)
Slope (m) = 5.1209 / 1.03
Slope (m) ≈ 4.9782

Answer: The slope of the line passing through (1,1) and (x,y) for y = x^2 + 2, when x = 2.03, is approximately 4.9782.

Frequently asked questions (FAQs)
Question: For a certain two-variable inequality, the graph consists of points below the line y = 3x + 2. Find the solution set
+
Math question: What is the probability of rolling a 2 or a 5 on a standard fair six-sided die?
+
Question: How many lines of symmetry does a regular hexagon have?
+
New questions in Mathematics
calculate the derivative by the limit definition: f(x) = 6x^3 + 2
8x-(5-x)
58+861-87
*Question!!* *Victory saved 3,000 in first bank and 2,000 Naira in union bank PSC with interest rate of X% and Y% per annual respectively his total interest in one year is #640. If she has saved 2,000 naira with first bank and 3,000 naira in union bank for same period she would have made extra 20# as additional interest, then find the value of X and Y
132133333-33
how many arrangement can be made of 4 letters chosen from the 8 letters of the world ABBSOLUTE
Desarrolla (2x)(3y + 2x)5
A merchant can sell 20 electric shavers a day at a price of 25 each, but he can sell 30 if he sets a price of 20 for each electric shaver. Determine the demand equation, assuming it is linear. Consider (P= price, X= quantity demanded)
12(3+7)-5
Solve the equation: sin(2x) = 0.35 Where 0° ≤ x ≤ 360°. Give your answers to 1 d.p.
Solve equations by equalization method X-8=-2y 2x+y=7
Sabendo+que+o+tri%C3%A2ngulo+ABC+%C3%A9+ret%C3%A2ngulo+e+que+um+de+seus+%C3%A2ngulos+mede+30+quanto+mede+o+terceiro+ tri%C3%A2ngulo
A hardware bill totals $857.63 with discounts of 5% and 3%. What is the net cost of the Material ?
In a 24 hours period, the average number of boats arriving at a port is 10. Assuming that boats arrive at a random rate that is the same for all subintervals of equal length (i.e. the probability of a boat arriving during a 1 hour period the same for every 1 hour period no matter what). Calculate the probability that more than 1 boat will arrive during a 1 hour period. (P(X>1) ) Give your answers to 4 decimal places and in a range between 0 and 1
Find the zero of the linear function 8x + 24 = 0
A post office has three categories of letters: 60% are from businesses, 30% are individual mail, and the remaining 10% are government mail. 5% of the letters from businesses have address errors, 10% of the individual mail has address errors, while 1% of the government mail has address errors. If we receive a letter with an address error, what is the probability that it is individual mail?"
The average weekly earnings in the leisure and hospitality industry group for a re‐ cent year was $273. A random sample of 40 workers showed weekly average ear‐ nings of $285 with the population standard deviation equal to 58. At the 0.05 level of significance can it be concluded that the mean differs from $273? Find a 95% con‐ fidence interval for the weekly earnings and show that it supports the results of the hypothesis test.
The slope of the tangent line to the curve f(x)=4tan x at the point (π/4,4)
draw the condensed formula fpr 3,3,4 triethylnonane
Sin(5pi/3)