Answer:
right
Step-by-step explanation:
The box in the lower corner means that the angle is equal to 90 degrees, which means the angle is a right angle
The triangle is a right triangle
Answer:
F(x) = -3(x + 2)² - 2
Step-by-step explanation:
In the picture attached, the graph is shown.
F(x) has the form a(x - h)² + k, where (h, k) is the vertex of the parabola. We can see in the graph that the vertex is located at (-2, -2), then F(x) = a(x + 2)² - 2. If a > 0 the parabola opens upward, if a < 0 the parabola opens downward. We can see in the graph that the parabola opens downward, then the correct answer is F(x) = -3(x + 2)² - 2
Answer:
6
−
4 x
=
6
x
−
8
x
−
2 Since x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
6
x
−
8
x
−
2
=
6−
4
x Subtract 8
x from 6
x
.
−
2
x
−
2
=
6
−
4
x
Move all terms containing x
to the left side of the equation.
Tap for fewer steps...
Add 4
x
to both sides of the equation.
−
2
x
−
2 + 4 x
= 6 Add −
2
x and 4
x
.
2
x
−
2
=
6
Move all terms not containing
x to the right side of the equation.
Tap for fewer steps...
Add 2
to both sides of the equation.
2
x
=
6
+ 2 Add 6 and 2
.
2
x
=
8
Divide each term by
2 and simplify.
Tap for fewer steps...
Divide each term in
2
x
=
8 by 2
. 2
x
2
= 8 2 Cancel the common factor of
2 . Tap for more steps...
x
=
8 2 Divide 8 by 2
.
x
=
4
Answer:
6. (2,1) 7. (2,2)
Step-by-step explanation:
Number 6, Since it is a dilation of .5 you divide the x and y coordinate by 2 to get (2,1). X - 4/2=2, Y - 2/2=1
Number 7, Since it's rotating 90 degrees counterclockwise you switch the x and y coordinates. So from (x,y) to (y,x) and also when going counterclockwise you have to make the y coordinate becomes negative, so the counterclockwise equation is (-y,x) plug in your numbers and you get (2,2) as your 90 degree counterclockwise rotated coordinates.
Answer:
Area = 88 square units
Step-by-step explanation:
The length of the blue rectangle can be found by subtracting 15 and 4, which equals 11. The width of the blue rectangle can be found by subtracting 6 from 14, which equals 8.
area = length x width
area = 11 x 8
area = 88 square units
