Answer:y = -3x + 10
Step-by-step explanation:
To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:
where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.
Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:
So the slope between the two points is -3.
From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:
y = mx + b
plug in -3 for m (the slope) and 10 for b (the y-intercept)
y = -3x + 10
So now we have our equation.
I hope you find my answer and explanation helpful. Happy studying. :)
The area of the trapezoid is 118 squre units
<h3>Area of a trapezoid</h3>
The formula for calculating the area of a trapezoid is expressed as:
- A = 0.5(a+b)h
- a = AD = √20
- b = BC = √80
- height = h = √40
Substitute into the formula
A = 0.5(√1600)*√40
A = 0.5 * 40 * √40
A = 20√40
A = 118 squre units
Hence the area of the trapezoid is 118 squre units
Larn more on area of a trapezoid here: brainly.com/question/1463152
Answer:
x = d/ a + c / a - b
Step-by-step explanation:
a( x + b ) - c = d
add c on both sides
a( x + b) = d + c
ax + ab = d + c
subtract ab from both sides
ax = d + c - ab divide both sides by a
ax / a = d/ a + c/ a - ab / a
x = d/ a + c / a - b
Answer:
No
Step-by-step explanation:
Answer:
8820.26 m^2
Step-by-step explanation:
The diameter is 106
The radius is 1/2 of the diameter
1/2 ( 106) = 53
The area of a circle is
A = pi r^2
= (3.14) ( 53)^2
= 8820.26 m^2
