The required equation of line parallel to given line is:
Step-by-step explanation:
Given equation of line is:
As the equation of line is in slope-intercept form, the co-efficient of x s the slope
Let m1 be the slope of given line
m1= 5/6
Let m2 be the slope of new line
As the slopes of two parllel lines are equal, so
m1 = m2
m2 = 5/6
The slope intercept form is:
Put m2 = 5/6 in equation
Putting the point in the equation
Putting the value of b, we get
Hence,
The required equation of line parallel to given line is:
Keywords: Slope intercept form, equation of line
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Answer:
$1.77
Brainliest please?
Step-by-step explanation:
5.25+2.98=8.23
10-8.23=1.77
Answer:
2.25 seconds
87 feet
[6, 87]
Step-by-step explanation:
The height of a projectile is:
h(t) = -16t² + vt + s
where v is the initial vertical velocity and s is the initial height.
Here, v = 72 and s = 6.
h(t) = -16t² + 72t + 6
This is a downwards parabola. The maximum is at the vertex.
t = -b / (2a)
t = -72 / (2×-16)
t = 2.25
h(2.25) = 87
It takes 2.25 seconds to reach the maximum height of 87 feet.
The range is from the lowest height (6 feet) to the maximum height (87 feet). In interval notation:
[6, 87]
Let the x represent the unknown number.
"2 times a number" is 2x
"The sum of 2 times a number and 11" is 2x + 11
"The sum of 2 times a number and 11 is -7" is 2x + 11 = -7
Now we solve the equation for x to find the unknown number.
2x + 11 = -7
Subtract 11 from both sides.
2x = -18
Divide both sides by 2.
x = -9
Answer: The number is -9.
Check: 2 times -9 = -18
-18 + 11 = -7
The answer is correct.
A) Taken at a basketball championship, the sample must be considered to be biased—probably in favor of basketball. Any conclusion can only be applied to attendees polled at the championship.
b) If a conclusion is to be drawn about opinions of students at the school, then a method needs to be devised to obtain opinions from a random sample of students. Likely, care would need to be taken to ensure expressed opinions are not influenced by games scheduled or just concluded, or by other factors such as reported injuries. A random sample from a list of student ID numbers might be appropriate. The poll might need to be conducted between seasons.
