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stepladder [879]
3 years ago
8

The coordinates of one point of a line segment ate (-2,-7). The line segment is 12 units long. Give three possible coordinates o

f the line segment’s other end point.
Mathematics
1 answer:
Paul [167]3 years ago
4 0

Answer:

  (-2, 5), (-2, -19), (5.2, 2.6)

Step-by-step explanation:

You can add ±12 to either the x- or the y-coordinate, as was done in the first two answers above.

Or, you can figure the side lengths of a triangle with hypotenuse 12 and add those to the coordinates. For example, a 3-4-5 right triangle multiplied by 2.4 will have side lengths of 7.2, 9.6 and a hypotenuse of 12. Hence we can find one of your end points to be ...

  (-2+7.2, -7+9.6) = (5.2, 2.6)

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A) The perimeter of a rectangle is the sum of the lengths of its four sides. Write an expression for the perimeter of the rectan
goblinko [34]

Answer:

Below

Step-by-step explanation:

The length of this triangle is 3x+1 and the width is x.

The perimeter P is:

P= 2(3x+1)+2*x

P= 6x+2+2x

P= 8x+2

Let's evaluate it when x=1/2

●1/2 =0.5

P= 8*0.5+2 =4+2= 6 ft

●●●●●●●●●●●●●●●●●●●●●●●●

The area A is:

A = (3x+1)*x

A= 3x^2 +x

Let's evaluate it when x=0.5 feet

A= 3*0.5^2 +0.5

A= 3*0.25+0.5

A= 0.75 +0.5

A= 1.25 ft^2

6 0
3 years ago
Reggie ate 31 raisins. Which correctly describes 31 as a prime or a composite number and tells the number of factor pairs 31 has
kari74 [83]

Answer:

?????

Step-by-step explanation:

??????

5 0
3 years ago
Questions in a nutshell:
Lesechka [4]

Answer:

1.048576e+46

Step-by-step explanation:

(5x5)x20x80 to the power of 10

(25x20)x80 to the power of 10

500x80  to the power of 10

40000 to the power of 10

the answer is 1.048576e+46

8 0
3 years ago
Read 2 more answers
Calculate the coefficients of the first four terms of the binomial expansion for the binomial (x+y)^28
MakcuM [25]

Consider the following expanded powers of (a + b)n, where a + b is any binomial and n is a whole number. Look for patterns.

Each expansion is a polynomial. There are some patterns to be noted.

1. There is one more term than the power of the exponent, n. That is, there are terms in the expansion of (a + b)n.

2. In each term, the sum of the exponents is n, the power to which the binomial is raised.

3. The exponents of a start with n, the power of the binomial, and decrease to 0. The last term has no factor of a. The first term has no factor of b, so powers of b start with 0 and increase to n.

4. The coefficients start at 1 and increase through certain values about "half"-way and then decrease through these same values back to 1.

8 0
3 years ago
Please help!! Math | 25 points :)
arlik [135]

Values of the composite function:

(g\cdot f)(-1)=6

(g\cdot f)(0)=7

(f\cdot g)(-1)=3

(f\cdot g)(4)=2

Step-by-step explanation:

Given two functions f(x) and g(x), their composite function is given by

(f\cdot g)(x) = f(g(x))

Which means using the output value of g(x) as input for f(x).

Let's start by computing

(g\cdot f)(-1)

First, we compute the value of f(-1), which is (from the graph)

f(-1) = 1

Now we use this value as input into g(x); we notice that at x = 1, the value of g(x) is 6, therefore:

(g\cdot f)(-1)=6

Now we evaluate

(g\cdot f)(0)

First, we compute the value of f(0), which is (from the graph)

f(0) = 0

Now we use this value as input into g(x); at x = 0, the value of g(x) is 7, therefore:

(g\cdot f)(0)=7

Now we evaluate

(f\cdot g)(-1)

First, we compute the value of g(-1), which is (from the graph)

g(-1) = 5

Now we use this value as input into f(x); at x = 5, the value of f(x) is 3, therefore:

(f\cdot g)(-1)=3

Finally we evaluate

(f\cdot g)(4)

First, we compute the value of g(4), which is (from the graph)

g(4) = 4

Now we use this value as input into f(x); at x = 4, the value of f(x) is 2, therefore:

(f\cdot g)(4)=2

Learn more about composite functions:

brainly.com/question/2723982

brainly.com/question/2456302

brainly.com/question/1949601

brainly.com/question/1900154

#LearnwithBrainly

6 0
3 years ago
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