Answer:
y = 2x - 16
Step-by-step explanation:
Slope-intercept form: y = mx + b
Given:
Slope(m): 2
Point: (5, -6)
To write the equation in slope-intercept form we need to find the slope(m) and the y-intercept(b).
Since we were given the value of the slope, the only thing we have to do is find the y-intercept. To do this, input the values of the slope and the given point into the equation and solve for b:
y = mx + b
-6 = 2(5) + b
-6 = 10 + b
-16 = b
The y-intercept is -16.
Now that we know the slope and the y-intercept, we can write the equation:
y = 2x - 16
The volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.
Option C is the correct answer.
<h3>What is the volume of the sphere?</h3>
The volume of the sphere is the amount of space occupied within the sphere.
Volume of sphere is expressed as;
V = (4/3)πr³
Where r is the radius and π is pi ( π = 3.14 )
Given that;
- Diameter of the sphere d = 18cm
- Radius r = d/2 = 18cm/2 = 9cm
- Constant pi π = 3.14
- Volume V = ?
V = (4/3)πr³
V = (4/3) × 3.14 × 9cm)³
V = (4/3) × 3.14 × 729cm³
V = 3052.1cm³
Therefore, the volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.
Option C is the correct answer.
Learn more about volume of hemisphere here: brainly.com/question/3362286
#SPJ1
Answer:
Step-by-step explanation:
angle 4 is congruent to angle 4 because they are alternate interior angles.
angle 5 is congruent to angle 3 because they are alternate interior angles.
angle 1+angle 2+angle 3 is equal to (=) angle 1+angle 2+angle 3
angle 1+angle 2+angle 3=180 degree(being sum of interior angles of a trianngle)
Answer:
0.3 in²
Step-by-step explanation:
This picture is NOT to scale. That 20° Angle looks more like 70°.
Area of the circle = 81pi = 254.469
20/360 of the circle = 1/18 = 14.137
Area of triangle = 13.851
14.137-13.851= 0.3 in²
