Answer:
y = 2/3x - 3
Step-by-step explanation:
First let's look at what slope-intercept form is.
y = mx + b
m is the slope, which in this case is 2/3
b is the y-intercept, which we will find later.
Now that we have identified the parts of the equation, let's plug in what we know. Use the point given for your x and y values.
y = mx + b
1 = 2/3(6) + b
Let's simplify this to find b.
[multiply] 1 = 4 + b
[subtract 4]
-3 = b
We now have our b-value, which is also our y-intercept. Plug in this value into the standard slope-intercept equation.
y = 2/3x - 3
This is your equation.
Check this by plugging in the point again.
1 = 2/3(6) - 3
[multiply] 1 = 4 - 3
[subtract]
1 = 1
This expression is true; therefore, your answer is correct.
Hope this helps!
Answer: 3.499 now 3.079 is correct
Answer:
The length of s is 5.1 inches to the nearest tenth of an inch
Step-by-step explanation:
In Δ RST
∵ t is the opposite side to ∠T
∵ r is the opposite side to ∠R
∵ s is the opposite side to ∠S
→ To find s let us use the cosine rule
∴ s² = t² + r² - 2 × t × r × cos∠S
∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°
→ Substitute them in the rule above
∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)
∴ s² = 16.81 + 50.41 - 41.1677568
∴ s² = 26.0522432
→ Take √ for both sides
∴ s = 5.10413981
→ Round it to the nearest tenth
∴ s = 5.1 inches
∴ The length of s is 5.1 inches to the nearest tenth of an inch
Answer:
Option A 
Step-by-step explanation:
The volume of a cone is:
The volume of a cylinder is:
Both figures have the same height h and the same radius r.
The volume of the cylinder
We want to find the volume of the cone.
Then, we find r and h:
We simplify.
Then the product of 
.
We substitute this in the cone formula and get:
