Answer:
The equation of the line is y = 2x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line,
- b is the y-intercept (value y at x = 0)
Let us take two points on the line to find its equation
∵ Points (3, 3) and (0, -3) lie on the line
∴ x1 = 3 and y1 = 3
∴ x2 = 0 and y2 = -3
→ Use the rule of the slope above to find m
∵ 
∴ m = 2
→ Substitute its value in the form of the equation above
∴ y = 2x + b
∵ b is the value of y at x = 0
∵ y = -3 at x = 0
∴ b = -3
→ Substitute it in the equation above
∴ y = 2x + -3
→ Remember (+)(-) = (-)
∴ y = 2x - 3
∴ The equation of the line is y = 2x - 3
Represent and then add up these consecutive, positive, even integers:
x + (x+2) + (x+4) + (x+6) = 116
Then 4x + 12 = 116, or 4x = 104. Then x=26.
First integer is 26; second is 28; third is 30; fourth is 32.
Add these up. If the sum = 116, you'll know these answers are correct.
Here is the formula x-(x*.09)=90 the answer 98.9
Hi there! :)
Begin by using Pythagorean theorem to solve for the length of the diagonal of the base:
a² + b² = c²
Use the length and width in the equation:
8² + 3² = c²
64 + 9 = c²
73 = c²
c ≈ 8.54 cm
Now, we can find the length of the diagonal of the prism using our calculated diagonal of the base and the height. Use the same equation:
(8.54)² + 7² = c²
73 + 49 = c²
122 = c²
√122 = c
c = 11.05 ≈ 11 cm. The correct answer is B.
