Answer:

Step-by-step explanation:
The rate of change is a measure of the slope
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (29, 9) and (x₂, y₂ ) = (33, 10)
m =
=
← rate of change
Answer:
720
Step-by-step explanation:
50/8=6.25
4,500/6.25=720
Answer:
1,2,3,2,2
Step-by-step explanation:
because standard form is ax
The approximate area in square feet of the sides panel is 146.4 feet.
<h3>
Area = 1 / 2 bh</h3>
where
b = base
h = height
Therefore, let's find the height and the base using trigonometric ratios.
sin 30 = opposite / hypotenuse
sin 30° = h / 26
cross multiply
h = 26 × 1 / 2
h = 13 ft.
Let's find the base using Pythagoras theorem.
b² = 26² - 13²
b² = 676 - 169
b = √507
b = 22.5166604984
b = 22.52 ft
Area = 1 / 2 × 22.52 × 13
Area = 292.76 / 2
Area = 146.38 ≈ 146.4 ft
learn more on right angle triangle here: brainly.com/question/20999524?referrer=searchResults
The slope intercept form for a line is y = mx + b.
↑ <span>↑
m is the slope of the line or how steep it is. b is where the line runs into the y axis at one point. x and y are the values you plug in when you have a specific point you want to use (x, y).
For the first picture, you can see that the line "intercepts" or collides with the y axis at 1. Thus we know the b value.
To find the slope, you just pick 2 points on the line and plug them into a little equation (try to memorize this equation, it helps to find slope):
m = (y</span>₂ - y₁)/(x₂ - x₁)
The two points we'll use are (1, 0) and (0, 1) since x goes through both of
those points. ↑ ↑ ↑ ↑
x₁ y₁ x₂ y<span>₂
m = (1 - 0)/(0 - 1)
m = 1 / -1
m = -1
This makes sense - since the slope is going downward, the slope is negative.
So the equation is:
y = -x + 1
____________________________________________________________
For the second problem, We can see the line intercepts the y-axis at -5. That is our b value.
The the slope of this line is 0 since it is not going up or down, so that is our m value:
y = 0(x) - 5 = -5
The equation of the line is y = -5</span>