Answer:
Volume of pyramid = 317 units³
Step-by-step explanation:
Volume do triangular pyramid = ⅓ × Base Area × height of pyramid
Base area = ½*bh = ½*8*14 = 56 units²
Height of pyramid = 17
Volume of pyramid = ⅓ × 56 × 17
Volume of pyramid = 317 units³ (to nearest whole number)
Hi all
Answer:
I had this question on my MAP testing just today, and I answered with
C. Choosing a certain book does not affect the choice of a pear,
D. Choosing a certain pear does not affect the choice of a book.
These are the answers I think are correct.
Line through P(0, 5) and Q(-1, 8):
slope = m = (y2 - y1) / (x2 - x1) = (8 - 5) / (-1 - 0) = 3 / -1 = -3
line through R(3, 3) and S(5, -1):
slope = m = (y2 - y1) / (x2 - x1) = (-1 - 3) / (5 - 3) = -4 / 2 = -2
Parallel lines have equal slopes. Since the two lines have different slopes, they are not parallel.
Answer:
The two equations are
y = x - 3 and
3y = x + 9
Step-by-step explanation:
The options are not well stated. I'll answer the question without the options but however, my answer will be a reflection of one of the given options.
Given:
2 statements
Required
Write equivalent of both statements as equations
Let the large number be represented by x.
From the first statement (y, is equal to the difference of a larger number and 3)
Difference means minus (-); so, this statement is represented as follows to give us the first equation:
y = x - 3
From the second statement (The same number is one-third of the sum of the larger number and 9).
This is also represented as follows to give us the second equation
y = ⅓(x + 9)
Multiply both sides by 3
3 * y = 3 * ⅓(x + 9)
3y = x + 9
So, the two equations are
y = x - 3 and
3y = x + 9
Answer:
Yes.
Step-by-step explanation:
Yes because each value of x maps to a single value of y.
THere is a many-to-one relation with (1, 12) and (5, 12) but that is OK for a function. What would not be OK is if we had a one-to-many relation like (1, 12) and (1, 14) included in the ordered pairs - that is not a function.
