Answer:
Step-by-step explanation:
Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,
Rule to be followed,
A(x, y) → P(-y, x)
Therefore, A(1, 1) → P(-1, 1)
Similarly, B(3, 2) → Q(-2, 3)
C(2, 5) → R(-5, 2)
Triangle given in second quadrant will be the triangle PQR.
If the point P of triangle PQR is reflected across a line y = x,
Rule to be followed,
P(x, y) → X(y, x)
P(-1, 1) → X(1, -1)
Similarly, Q(-2, 3) → Y(3, -2)
R(-5, 2) → Z(2, -5)
Therefore, triangle given in fourth quadrant is triangle XYZ.
Answer:
11/12
Step-by-step explanation:
55/60 reduced by a factor of 5 becomes 11/12
Answer:
x=3
(Do not write a character less than what I have written; 3 is not the answer but x=3 is the answer.)
Step-by-step explanation:
Parabolas have a axis of symmetry; this is the line they are symmetrical about.
The line of symmetry will always go through the vertex.
Since your question says it is a function the line will be vertical and will be of the form x=a number.
The number is determine by the x-coordinate of the vertex.
I know the vertex of your problem is (3,-1) because it says that is the minimum point of the graph. The vertex of a parabola will always be it's maximum (this parabola is open down) or minimum (this parabola is open up).
So the axis of symmetry is just:
x=3.
You must actually write x=3.
3 is not the answer.
x=3 is the answer.
Little note down here:
(If it had said the parabola wasn't a function, the axis of symmetry would have been horizontal and therefore of the form y=a number where the number was the y-coordinate of the vertex.)
Answer:
1793.75 m²
Step-by-step explanation:
Given that :
Total amount of land leased = 2050 m²
Fraction of land given to brother = 1/8
Amount of land given to brother :
1/8 * 2050 = 256.25 m²
Amount of land left :
2050 m² - 256.25 m²
= 1793.75 m²
Answer:
1,114 people
Step-by-step explanation:
The equation 
is the equation of the regression line that predicts the number of people attending a county fair, where x is the number of years after 2000.
To find the number of people that are expected to attend the fair in 2026, we determine how many years have passed and substitute into the equation.
From 2000 to 2026,
have passed.
The expected number who will attend the fair in 2026 is
To the nearest whole number 1,114 people will attend in 2026
