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N76 [4]
2 years ago
6

Square ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to form square ABCD . What are the coord

inates of vertex B. A(2,7) C(8,1) D(2,1)

Mathematics
1 answer:
kobusy [5.1K]2 years ago
8 0

Answer:

B'(16,14)

Step-by-step explanation:

In square ABCD,  A(2,7) C(8,1) D(2,1). First, find the coordinates of the vertex B. From the attached diagram you can see that CD=6 units and is parallel to the x-axis, AD=6 units and is parallel to the y-axis. So, B(8,7).

The origin O is the center of dilation, 2 is the scale factor. The rule of the dilation is

(x,y)→(2x,2y)

Thus,

B(8,7)→B'(16,14) (see attached figure).

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24. The cost to board a dog at a kennel varies
natita [175]

Answer:c=24n

Step-by-step explanation:

C~n

C=no

96=4k

Divide both sides by 4

96/4=4k/4

24=k

K=24

Our equation is c=24n

8 0
3 years ago
The coefficient of 8 • 2N is _____.
lesantik [10]

Answer:

16 is the coefficient of N.

Step-by-step explanation:

Coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. In the latter case, the variables appearing in the coefficients are often called parameters, and must be clearly distinguished from the other variables. The coefficients of an algebraic term can be positive or negative, and this multiplies the unknown term.

For example:

In 2a, 2 is the coefficient of a;

In x, 1 is the coefficient of x but it is not visible;

In 2/3p, 2/3 is the coefficient of p;

In -3f, -3 is the coefficient of f;

In 3 × 6t, 18 is the coefficient of t.

Variable is a symbol, commonly a single letter, that represents a number, called the value of the variable, which is either arbitrary, not fully specified, or unknown. Making algebraic computations with variables as if they were explicit numbers allows one to solve a range of problems in a single computation. A typical example is the quadratic formula, which allows one to solve every quadratic equation by simply substituting the numeric values of the coefficients of the given equation for the variables that represent them.

So,

In 8 × 2N, 16 is the coefficient of N ( 8 × 2 = 16)

N is the variable.

7 0
3 years ago
Paige earned $15.50 per hour. She received a 10% raise. Paige worked 10 hours at her new salary. How much did Paige earn?
PSYCHO15rus [73]

Answer:

C- $170.50

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
the area of a mirror is 225 square inches and its width is 13 3/4 inches. Will the mirror fit in a space that is 15 inches by 16
Tems11 [23]
A = 225 in^2
W = 13.75

15x16 = 240 in^2

240/13.75 = 17.45 in

the mirror would not fit in a space that is 15 by 16 inches since its approximately 13 by 17 inches
6 0
3 years ago
For what value of x is line a parallel to line b?<br><br> (Yo, please help me so I can go to sleep.)
iogann1982 [59]
X=20

If they're parallel the other number in the same spot as 5x+15 equals that, so 5x+15=115 because if they are parallel they're the same if same spot and same line going through them.

115-15 = 100
5x=100
Divide by 5 both sides
X=20

If x=20 then these lines would be parallel
6 0
3 years ago
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