Answer:
The equation of the line is.
Step-by-step explanation:
Given:
The given points are (0, -4) and (-4, 6)
The equation of the line passing through the points and
is.
Thus, the equation of the line that passes through the points (0, -4) and (-4, 6) is
The above equation is divided by 2 both sides.
Therefore, the equation of the line that passes through the points (0, -4) and (-4, 6) is
Answer:
Step-by-step explanation:
Stare at the numbers. Especially the first two. First one is -11. Second is . Let's guess you keep multiplying.
. Smells correct, let's confirm with the last one:
. I think we found a pattern. Each element is 7 times the previous one. With some practice you can just write the function, else let's divide by -11 away and let's see what we get:
. Basically, the exponent is 1 less than the value we're evaluating the function. That leads tho the following
Answer:
A. The length of the second leg is 8.5 inches
B. The length of the three-dimensional diagonal is 9.9 inches
Step-by-step explanation:
Let us revise the relation between the hypotenuse and the two legs of a right triangle
(hypotenuse)² = (vertical leg)² + (horizontal leg)²
∵ The length of the rectangular box = 8 inches
∵ The width of the rectangular box = 3 inches
∵ The height of the rectangular box = 5 inches
∵ Length and width are perpendicular to each other
∴ The Δ whose legs are 3 and 8 is a right triangle
In the right Δ whose legs are 3 and 8
∵ (hypotenuse)² = (3)² + (8)²
∴ (hypotenuse)² = 9 + 64
∴ (hypotenuse)² = 73
- Take √ for both sides
∴ hypotenuse = = 8.544003745
- Round it to the nearest tenth of one inch
∴ hypotenuse = 8.5 inches
A.
The 3-dimensional diagonal is the hypotenuse of a right triangle whose legs are the vertical edge and the hypotenuse of the right triangle whose legs are 3 and 8
∵ The hypotenuse of the right triangle whose legs are 3 and
8 is 8.5 inches
∴ The length of the second leg is 8.5 inches
B.
In the right triangle whose hypotenuse is the 3-dimensional diagonal and legs are the vertical edge , the hypotenuse of the right triangle whose legs are 3 and 8
∵ (3-dimensional diagonal)² = (5)² + (73)²
∴ (3-dimensional diagonal)² = 25 + 73
∴ (3-dimensional diagonal)² = 98
- Take √ for both sides
∴ 3-dimensional diagonal = = 9.899494937
- Round it to the nearest tenth of an inch
∴ 3-dimensional diagonal = 9.9 inches
∴ The length of the three-dimensional diagonal is 9.9 inches
<em>V.I.N: you can find the length of the three-dimensional diagonal by using this rule → </em><em> </em>