a) y = -1
b) y = 3
c) y = x -1
d) y = 3x - 1
*graph is attached for 1st question*
Graph with a line going through points negative 2 comma zero and 0 comma negative one.
Select the equation of a line that is perpendicular to the line on the graph and passes through the point (-1, 2).
y = 2x + 4
y = - 2x + 2
y = - 1 over 2 x + 2
y = 2x - 1
Answer:
1 -
2 -
Step-by-step explanation:
The general form of a straight line is , where m = slope and b = y-intercept.
Ques 1: We are given that the line passes through (0,2.5) and (4,2.5).
Then the slope of the line is given by,
Then, the y-intercept is given by,
That is, the equation of the line is
Then, the line parallel to have slope 0 i.e. .
As, the line passes through the point (3,-1) i.e. y= -1 for any value of x.
Then, the equation of line is
So, option A is correct.
Ques 2: We are given that the line passes through (-2,0) and (0,-1).
Then the slope of the line is given by,
Then, the y-intercept is given by,
That is, the equation of the line is
Then, we have,
The line perpendicular to have slope 2.
As, the line passes through the point (-1,2) with slope 2.
The y-intercept is given by,
Thus, the equation of the line is
So, option A is correct.
B. The value of g(-2) is the same as the value of g(4).
C. The values of g(-2) and g(4) cannot be compared.
D. The value of g(-2) is larger than the value of g(4).
Answer:
D. The value of g(-2) is larger than the value of g(4).
Step-by-step explanation:
Given : Given the function g(x) = -3x + 4, compare and contrast g(-2) and g(4).
To find : Choose the statement that is true concerning these two values.
Solution : We have given that
g(x) = -3x + 4
g (-2) = -3 ( -2) + 4.
g (-2) = 6 + 4
g (-2) = 10 .
Now,
g (4) = -3 ( 4) + 4.
g (4) = -12 +4 .
g (4) = -8.
g (-2) > g (4)
10 > -8 .
Therefore, D. The value of g(-2) is larger than the value of g(4).
25q + 10d = 33
B) q + d = 6
0.25q + 0.1d = 33
C) q + d = 33
25q + 10d = 6
D) q + d = 33
0.25q + 0.1d = 6
Answer: D) .
Step-by-step explanation:
We know that $1 = 4 quarters
⇒ 1 quarter =
$1 = 10 dimes
1 dime =
Let 'q' be the number of quarters and 'd' be the number of dimes.
Since, Martin has a combination of 33 quarters and dimes worth a total of $6.
Answer:
q + d = 33 0.25q + 0.1d = 6
Step-by-step explanation:
I hope I help you.
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