Answer:
y = -2x + 16.
Step-by-step explanation:
The slope of the perpendicular line = -1 / slope of the given line
= -1 / 1/2 = -2.
Using the point slope form of the equation of a straight line:
y - y1 = m (x - x1)
y - 8 = -2(x - 4)
y - 8 = -2x + 8
y = -2x + 16 is the required equation.
1 to 16
1 to 28
7 to 10
18 to 20
Range of stuffed animals owned for the cluster is from 18 to 20.
It is a graph that presents the relationship between two variables in a data-set.
The data points in a scatter plot form distinct groups known as clusters.
Given a scatter plot
Range of stuffed animals is Y-axis.
Range of stuffed animals owned for the cluster
Cluster in the graph is between 18 to 20 on Y-axis.
Range is from 18 to 20.
Hence, range of stuffed animals owned for the cluster is from 18 to 20.
Find out more information about cluster graph here
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−4p+(−6p)
Answer:
- 10p
Step-by-step explanation:
We know that,
( - ) × ( - ) = ( + )
( - ) × ( + ) = ( - )
( + ) × ( + ) = ( + )
Accordingly, let us solve the above expression.
- 4p + ( - 6p )
Solve the brackets.
- 4p - 6p
Combine like terms.
- 10p
Answer: - 10p
Step-by-step explanation A common technique for simplifying algebraic expressions. When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.
ring.
b. How many cells are in the honeycomb after the ninth ring is formed?
By plugging in the ring number, 9, in the equation for the number of
cells in a ring, gives 54.
Response:
A. The rule for the number of cells in the ring is, aₙ = 6 + (n - 1) × 6
B. The number of cells in the ninth ring are 54 cells
Given;
The type of sequence = Arithmetic sequence
From the possible drawing of the question obtained from a similar question, we have;
Number of cells in thefirst ring that goes around the first cell = 6
Number of cells that go around thesecond ring = 12
A. The common difference of the arithmetic sequence = 12 - 6 = 6
We have that the nth term of an arithmetic sequence is; aₙ = a + (n - 1)·d
Taking the first ring as the first term, we have;
a = 6
Which gives;
The rule for the number of cells in the ring is, aₙ = 6 + (n - 1) × 6
Where;
n = The ring number
B. In the ninth ring, we have;
a₉ = 6 + (9 - 1) × 6 = 54
Learn more about arithmetic sequence here:
Answer:
Part B is 271!!!
Step-by-step explanation:
a9=54
S9=9/2(6+54)=270
270+1
=271
1)16
2)2
3)-2
4)-16
Answer:
4)-16
Step-by-step explanation:
16=x+32
Subtract 32 from each side
16-32=x+32-32
-16 =x