When graphed, the three lines y=-x + 2 y=2x-1, and y= x-2 intersect in such a way that they form a triangle.
What are the coordinates of the three vertices of this triangle?
.
-6
-5
3
1
2 3
4
5 6
7
3
4
-5
-6
OA (2.0), (0, 2), and (-1, -3)
ОВ. (0, 2), (2.0), and (1,-1)
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Answers
Answer:
the three vertices are (1, 1), (2, 0), (-1, -3).
The vertices of the triangles are the coordinates of the point of
intersection of the graph of the equation of the three lines.
Correct response:
The coordinates of the three vertices of the triangles are;
E. [tex]\underline{(2, 0), \ (1, -1), \ and \ (-1, -3)}[/tex]
How are the coordinates of the vertices obtained?The equation of the given lines are;
y = -x + 2, y = 2·x - 1, y = x - 2
The point of the intersection of the two lines, gives the vertices, and are
the solution of the two linear equations of the lines.
At the points where the lines intersect, we have;
-x + 2 = 2·x - 1
Which gives;
3·x = 3
x = 1
y = -1 + 2 = -1
A vertex is at the point (1, -1)
The coordinate of the second vertex is given as follows;
2·x - 1 = x - 2
2·x - x = -2 + 1 = -1
x = -1
y = -1 - 2 = -3
The second vertex is; (-1, -3)
The coordinates of the third vertex is given as follows;
-x + 2 = x - 2
2·x = 4
x = 2
y = 2 - 2 = 0
Which gives the point; (2, 0)
The three vertices are; E. (2, 0), (1, -1), and (-1, -3)Learn more about linear equations here:
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The amount of water a washing machine uses varies directly with the number of loads it washes. If a washing machine uses 28 gallons for 2 loads of laundry, how many gallons would it use for 10 loads of laundry?
Answers
140 gallons of water would it use for 10 loads of laundry.
What is meant by the term direct proportional?A direct proportion is an arithmetical comparison of two numbers whose ratio is comparable to a constant value. According to the proportion definition, two ratios are in proportion when they are equivalent. The proportions are indicated by the symbol "∝".For the given question;
The amount of water a washing machine uses varies directly with the number of loads it washes.
Let amount of water be 'w'.
The number of loads be 'l'
w ∝ l
w = kl
k = proportionality constant.
For, w = 28 gallons
l = 2 loads of laundry
Put in the equation;
28 = 2 k
k = 14
Now, when l = 10 loads of laundry, w = ?
w = 14 × 10
w = 140
Thus, 140 gallons of water would it use for 10 loads of laundry.
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A box contains 4 red marbles, 7 white marbles, and 8 blue marbles. If a marble is randomly selected from the box, what is the probability that it is white? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.
Answers
Answer:
The probability of selecting a white marble is 0.368
Step-by-step explanation:
Given;
number of red marbles, R = 4
number of white marbles, W = 7
number of blue marbles, B = 8
Total number of marbles in the box = 4 + 7 + 8 = 19
The probability of selecting a white marble is given by;
P(W) = 7 / 19
= 0.368
Therefore, the probability of selecting a white marble is 0.368
pls help, if you could, please explain.if not that's fine :)) x
Answers
Answer:
c
Step-by-step explanation:
Which statement describes the function through the points? The function is a direct variation function with a constant of variation of 1.5. The function is a direct variation function with a constant of variation of 1.8. The function is linear but is not a direct variation function. The function is not a linear function.
Answers
Answer:
Correct answer is C
Step-by-step explanation:
The Function is linear but is not a direct variation function
The function is linear but is not a direct variation function.
The correct option is C.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of a line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
As per the information provided:
The points are collinear (i.e. they lie on a straight line), which means that the function is linear. We can find the equation of the line using the two-point form:
(y - 18)/(x - 10) = (30 - 18)/(18 - 10)
Simplifying this equation gives:
y - 18 = 3/2(x - 10)
y - 18 = 1.5x - 15
y = 1.5x + 3
So the function is linear, but not a direct variation function, and has a slope of 1.5.
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The complete question:
A coordinate plane with 3 points is plotted at (10, 18), (14, 24), and (18, 30).
Which statement describes the function through the points?
The function is a direct variation function with a constant variation of 1.5.
The function is a direct variation function with a constant variation of 1.8.
The function is linear but is not a direct variation function.
The function is not a linear function.
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Answers
Answer:
The Bulldogs gained 11 1/2 yards
Step-by-step explanation:
its sad that they could lose so much ground on a sack. their qb must suck
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Answer:
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Step-by-step explanation:
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer:
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=[12 (2) + 8 ]/4
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Step-by-step explanation:
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(12x+8)4
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Answer:
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Please tell me what to write down
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Answers
Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation
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Answers
Answer:
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Step-by-step explanation:
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The division of two fractions a/b and c/d is usually done by multiplying the first fraction by the reciprocal of the second fraction:
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Answers
Answer:
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the
Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
