Answer:
<h2>y = 3/4x + 5</h2>
Step-by-step explanation:
The slope-intercept form:
m - slope
b - y-intercept → (0, b)
The formula of a slope:
We have the points (4, 8) and (0, 5) → b = 5.
Calculate the slope:
Therefore we have the equation of the line:
Answer: x° = 20
Steps:
100 + x + 3x = 180
x + 3x = 80
4x = 80
x = 80/4
x = 20
Check:
100 + x + 3x = 180
100 + 20 + 3(20) = 180
100 + 20 + 60 = 180
180 = 180 ✅
Answer:
x=11.5
Step-by-step explanation:
2x+8=-15
x=-23/2
x=-11.5
Given
To obtain the minimum value of y, we first take the derivative of y
The derivative of y is:
Equating
gives the minimum value we require.
Doing that, we have:
So that
Therefore, the minimum value is x = 3
Answer:
CA = 5
Step-by-step explanation:
Since the sides are 3 and 4, we recognize this as a 3:4:5 right triangle, with CA = 5. Using the Pythagorean theorem confirms this:
CA² = AB² +BC²
CA² = 3² +4² = 9 +16 = 25
CA = √25
CA = 5
