Graph 4x^2 + y^2 = 9. What are its lines of symmetry?
Answers
x² / (9/4) + y² / 9 = 1
This is an ellipse. Equation is: x²/a² + y²/b² = 1
a² = 9/4 ⇒ a = 3/2
b² = 9 ⇒ b = 3
The axis of symmetry are the x and y axis, or the lines: y = 0 and x = 0.
Graph is in the attachment.
The lines of symmetry for the graph of equation 4x² + y² = 9 are the x-axis and the y-axis.
To determine the lines of symmetry of the graph of equation 4x² + y² = 9, we need to analyze the form of the equation.
The given equation represents an ellipse, as it contains terms for both x² and y².
Comparing this with the given equation 4x² + y² = 9, we can rewrite it as:
(2x)²/3² + y²/3² = 1
By comparing the equations, we can deduce that a² = 3² and b² = 3². This means that the major axis has a length of 2a = 2(3) = 6 and the minor axis has a length of 2b = 2(3) = 6.
Since the ellipse is symmetric with respect to both the x-axis and the y-axis, there are two lines of symmetry.
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The center of the circle is at (-2,-7) and its radius is 36. What is the equation of the circle in graphing form? 1.) (x+2)^2+(y+7)^2=1296 2.) (x-2)^2+(y-7)^2=6 3.)(x+2)^2+(y+7)^2=6 4.) (x-2)^2+(y-7)^2=1296
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joses credit card statement says that he owes $324. he charges an additional $63, $21, and $75. how much those he owe now?
Does the residual plot show that the line of best fit is
appropriate for the data?
A. Yes, the points have no pattern.
B. Yes, the points are evenly distributed about the x-axis.
C.No the points are in a linear pattern.
D.No, the points are in a curved pattern.
Answers
Answer: it’s option C: No, the points are in a linear pattern
Step-by-step explanation:
Took on edge
Final answer:
To determine if the line of best fit is appropriate for the data, plot the residuals on a graph and examine the pattern. In this case, the residual plot does not show a linear or curved pattern, indicating that the line of best fit is not appropriate for the data.
Explanation:
The residual plot shows the difference between the observed Y-values and the predicted Y-values. To plot the residuals, subtract the predicted Y-values from the observed Y-values for each corresponding X-value. Then plot the resulting points on a graph. In this case, the points are:
(1, 0.86), (2, -0.25), (3, -1.66), (4, -2.34), (5,-4.1).
To determine if the line of best fit is appropriate for the data, we need to examine the pattern of the residual plot. If the points have no pattern or are evenly distributed about the x-axis, it indicates that the line of best fit is appropriate. In this case, the points do not exhibit a linear or curved pattern, and they are not evenly distributed about the x-axis. Therefore, the residual plot does not show that the line of best fit is appropriate for the data.
Hence, the correct answer is: C. No the points are in a linear pattern.
Answers
2 possibilities:
1)
b is the hypotenuse and than B=90°
2)
or tan B=960/490=1.9591...
==>B=62.9594...°≈63°
a. 80 pounds yes or no
b. 78 pounds yes or no
c. 94 pounds yes or no
d. 77 pounds yes or no
e. 92 pounds yes or no
f. 75 pounds yes or no
Answers
Answer:
A.Yes B.Yes C.No D.Yes E.No F.No
Step-by-step explanation:
10% of 84 is 8.4 and 84-8.4=76.6 and anything between 76.6-84 could have been the estimate.
Final answer:
Camillo's weight estimate could have been 80 pounds, 78 pounds, 77 pounds, or 92 pounds.
Explanation:
The percent error measures the discrepancy between an estimated value and an actual value. It is calculated using the formula: Percent Error = (|Measured Value - Actual Value| / Actual Value) * 100%. Since the given problem states that Camillo's estimate has a percent error less than 10%, we can calculate the percent error for each weight estimate and determine if it is less than 10%.
- a. 80 pounds: Percent Error = (|80 - 84| / 84) * 100% = 4.76%, which is less than 10%. So, yes, this could have been Camillo's estimate.
- b. 78 pounds: Percent Error = (|78 - 84| / 84) * 100% = 7.14%, which is less than 10%. So, yes, this could have been Camillo's estimate.
- c. 94 pounds: Percent Error = (|94 - 84| / 84) * 100% = 11.9%, which is not less than 10%. So, no, this could not have been Camillo's estimate.
- d. 77 pounds: Percent Error = (|77 - 84| / 84) * 100% = 8.33%, which is less than 10%. So, yes, this could have been Camillo's estimate.
- e. 92 pounds: Percent Error = (|92 - 84| / 84) * 100% = 9.52%, which is less than 10%. So, yes, this could have been Camillo's estimate.
- f. 75 pounds: Percent Error = (|75 - 84| / 84) * 100% = 10.71%, which is not less than 10%. So, no, this could not have been Camillo's estimate.
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Answers
There are 6 sides on the number cubes, numbered 1-6.
The odds of rolling a 2 are 1 in 6, or 1/6
P(2)=1/6
The odds of rolling a 5 are 1 in 6, or 1/6
P(5)=1/6
P(2)*P(5)=1/6*1/6=1/36
The odds of rolling a 2 and a 5 are 1/36
Answer=1/36
3213
3444
+ 3323
Answers
Answer:
21040
Step-by-step explanation:
As with base-10 addition, when the sum is equal to the base or more, a "carry" is generated into the next place value column. Useful equivalents here are ...
5₁₀ = 10₅
6₁₀ = 11₅
7₁₀ = 12₅
9₁₀ = 14₅
10₁₀ = 20₅
The addition is shown in the attachment. The sum is 21040₅.
_____
The equivalent decimal addition problem is 433+499+463=1395.
Answers
Discount price = p * (30/100)
= 0.3p
Price after the discount
p - 0.3p
0.7p
Answer:
Discounted price= 0.7 p
Step-by-step explanation:
Original price = p
Since we are given that 30 % is off on the price
So, 30 % of p
So, the discount is of amount 0.3p
So, the discounted price = Original price - Discount amount
So,the discounted price = p-0.3p
Discounted price= 0.7 p
Hence expression can be used to find the price of the shoes after the discount is 0.7p