Answer:
An equation of slope:
y = -5x+72
Step-by-step explanation:
The equation of slope intercept is given by:
where m is the slope and c is the y-intercept or initial value.
Let x represents the time in minutes and y represents the height of the water level
As per the statement:
The water level in Noah's water tank is 72 inches high.
At x = 0
y= 72
It is also given that:
The water drains at a speed up 5 inches per minute.
Here, m represent the slope in inches per minute
(as the water drains)
Substitute in [1] we get;
y = -5x+c
Substitute x = 0 then;
72 = -5(0)+c
72 = c
⇒equation becomes: y = -5x+72
Therefore, an equation of slope is y = -5x+72
Answer:
B
Step-by-step explanation:
If the steps dont show my image did not upload
Part a)
R(x-axis) is the reflection of the original triangle ABC on the x-axis. The new coordinates are given as A' (2, -5), B' (4, -6), and C' (3, -1)
Part b)
R(y=3) is the reflection of the original triangle ABC on the line with equation y=3.
The new coordinates would be A' (2, 1), B' (4, 0), and C' (3, 5)
Part c)
T(-2, 5) is the translation of the original triangle ABC two units left and five units up. The new coordinates would be A'(0, 10), B' (2, 11), and C'(1, 6)
Part d)
T(3, -6) is the translation of the original triangle ABC three units right and six units down. The new coordinates would be A'(5, -1), B'(7, 0), and C'(6, -5)
Part e)
r(90°, 0) is the rotation of the original triangle ABC on the origin by 90° clockwise. The new coordinates would be A'(5, -2), B'(6, -4) and C'(1 -3)
Primera pregunta: se necesitan 75 metros para 9 pisos
Segunda pregunta: 124 metros es suficiente para 16 pisos
Espero que esto ayude!
Triangle XYZ is a right triangle.
What value should f be to yield 90 degrees?
6(3f - 15)°.
Let f be 8, 10, 12, 15.
When f = 10, we get 90 degrees for angle Z.
Z = 6(3•10 - 15)
Z = 6(30 - 15)
Z = 6(15)
Z = 90
Answer: Choice B.