Answer:
Step-by-step explanation:
Given equation of the line is,
y = 2x + 1
By comparing this equation with the slope-intercept form of the equation,
y = mx + b
m = Slope of the line = 2
b = y-intercept = 1
Table for the input - output values,
x -1 0 1 2
y -1 1 3 5
Now graph these points on the graph and join them by a straight line.
Answer:
4
Step-by-step explanation:
Slope equation:
y1 = -6
y2 = 14
x1 = -2
x2 = 3
y2-y1 = 14 - (-6) = 20
x2-x1 = 3 - (-2) = 5
20/5 = 4
Answer:
The distance of the foot of the ladder to the building is 14 ft.
Step-by-step explanation:
The length of ladder = 20 ft
Angle formed by ladder with level ground, θ = 46
We are required to find out the distance of the foot of the ladder from the building
The above question can be found out by using trigonometric relations as follows;
The adjacent side of the right triangle formed by the ladder the building and the ground is the distance of the foot of the ladder from the building
The hypotenuse side is the length of the ladder = 20 ft
Therefore;
Adjacent side of triangle = Hypotenuse × cosθ
∴ Distance of the foot of the ladder from the building = Hypotenuse × cosθ
Distance of the foot of the ladder from the building = 20 ft × cos(56)
Distance of the foot of the ladder from the building = 13.893 ft
To the nearest foot, the distance of the foot of the ladder to the building = 14 ft.
Answer:
Hold on imma give it
Step-by-step explanation:
To start off Quantities can be compared in terms of "more", "less", or "equal". (definition)
<em>1. In expressions, there is always a quantity of something, whether an object being weighed, or an object being counted. To show how quantities are related you would have something to equal to, less than, or more than. which is being compared to one another.</em>
2. (12 * x) + 8 //// 8+ 12x //// 8 + (12 * x). This is all based on communitive property, and just switched the numbers around. they all equal to the same answer.
<u><em>3a. 15 + 9x</em></u>
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<u><em>3b. the length would be 9. This is because an equilateral triangle has 3 of the same length of sizes, and x represents the length of each side. making x=3</em></u>
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