Answer:
The graph of
is also attached below, which indicates that there is a change of only one unit on the y-axis for every two units of x-values.
Step-by-step explanation:
When there is a change in x values, it is basically a horizontal change. horizontal change between two values is also called the run.
And the vertically change between two values is also called the rise.
The slope is basically the ratio of the vertical (rise) and horizontal (run) changes between two points on a line.
For example, consider the equation


Here fore every two units of x-values, one units are moved on the y-axis.
In other words, there is a change of only one unit on the y-axis for every two units of x-values.
The graph of
is also attached below which is showing this.
To determine the unit rate of pages, that is, the number of pages Leo reads in one hour you can use cross multiplication
1/3h _____14 pages
1h______x pages

Leo reads 42pages/hour
Answer:
We are missing 210
Step-by-step explanation:
3*4 = 12
3*70 =210
3*300=900
We are missing 210
Answer:
y - value of the vertex is 49.
Step-by-step explanation:
Given function is f(x) = -(x - 3)(x + 11)
f(x) = -(x² - 3x + 11x - 33)
= -(x² + 8x - 33)
= -(x² + 8x + 16 - 49)
= -[(x + 4)² - 49]
= -(x + 4)² + 49
Comparing this equation with the vertex form of a quadratic function,
f(x) = -(x - h)² + k
Where (h, k) is the vertex of the function.
Vertex of the parabola is (-4, 49)
Therefore, y-value of the vertex is 49.
If is an acute triangle, all the angles should be acute angles.
180-38=142°
142-69=73°
So your answer is 69°, lovely~