Could you predict the number of intercepts a line will have by inspecting its equation?
1 answer:
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Answer:
Area of the figure = 42 units²
Step-by-step explanation:
Area of the given figure = Area of rectangle JKIG - (Area of ΔEJD + Area of ΔCKD + Area of ΔCIH + Area of ΔEFG)
Area of rectangle JKIG = JK × JG
= 8 × 8
= 64 units²
Area of ΔEJD =
=
= 9 units²
Area of ΔCKD =
=
= 5 units²
Area of ΔCIH =
=
= 3 units²
Area of ΔEFG =
=
= 5 units²
Area of the given figure = 64 - (9 + 5 + 3 + 5)
= 64 - 22
= 42 units²
Answer: .
Step-by-step explanation:
Given : Sample size : n= 64 , the sample is a large sample (n>30), so we can apply z-test.
Sample mean =
Standard deviation :
Level of confidence:
Then, critical z-value =
The confidence interval to estimate the population mean is given by :_
Hence, the 95% confidence interval to estimate the population mean can be computed as .
Answer:
The third choice is the one you want
Step-by-step explanation:
If we are to write the equation of a line perpendicular to WX, we first must determine what the slope of the WX is, because the line perpendicular to WX has a slope that is the flip of the slope of WX with the opposite sign. Solving for y takes care of finding the slope of WX:
2x + y = -5 so
y = -2x - 5
The slope is -2. That means that the reciprocal slope is 1/2. Using that slope along with the coordinates x = -1 and y = -2, we first write the line using point-slope form and then solve it for y. Start by filling in the m, the x value and the y value:
Getting rid of the double negatives gives us:
Distributing then gives us:
And finally solving for y (I am going to express the 2 on the left as 4/2 when I move it by subtraction in order to add those fractions):
And the final equation in slope-intercept form is: