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Ierofanga [76]
2 years ago
5

In the xy plane, a quadrilateral has vertices at (-1, 4), (7,4), (7,5), and (-1. 5). What is the perimeter of the quadrilateral?

(A) 17 (B) 18 (C) 19 (1) 32 (E) 34

Mathematics
1 answer:
iris [78.8K]2 years ago
8 0

Answer:

(B) 18.

Step-by-step explanation:

We are asked to find the perimeter of a quadrilateral with vertices at (-1, 4), (7,4), (7,5), and (-1. 5).

First of all, we will draw vertices of quadrilateral on coordinate plane and connect the vertices as shown in the attached photo.

We can see that our quadrilateral is a parallelogram, whose parallel sides are equal.

\text{Perimeter of quadrilateral}=8+1+8+1

\text{Perimeter of quadrilateral}=16+2

\text{Perimeter of quadrilateral}=18

Therefore, the perimeter of the given quadrilateral is 18 units.

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Describe the piece wise function below by evaluating the function for given values of the domain.
zvonat [6]

Answer:

  • y = -3 (x ≤ -2)
  • y = 2x - 3 (-2 < x ≤ 2)
  • y = 5 (2 < x)

Step-by-step explanation:

The leftmost piece of the function is constant at -3.

The middle piece is a line with a slope of 2 that intersects the y-axis at -3, so has equation y = 2x-3. (The slope-intercept form of the equation of a line is y = slope·x + y-intercept. The slope is found by counting the number of vertical grid squares that correspond to each horizontal grid square.)

The rightmost piece is constant at +5.

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7 0
2 years ago
Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cube
9966 [12]
(a+b)(a²-ab+b²)
(2x+1)((2x)²-(2x)(1)+1²)
(2x+1)(4x²-2x+1)


C is answer
7 0
2 years ago
Read 2 more answers
The quantities xxx and yyy are proportional. xxx yyy 5.85.85, point, 8 5.85.85, point, 8 7.57.57, point, 5 7.57.57, point, 5 11.
Paul [167]

Question:

The quantities x and y are proportional.

x y

5.8 7.5

11.2

Find the constant of proportionality (r) in the equation y=rx

Answer:

The constant of proportionality is 75/58 or 1.29

Step-by-step explanation:

Given

The table above

Required

Find the constant of proportionality

The question has an incomplete table but it can still be solved because x and y are proportional.

Given that

y = rx

Make r the subject of formula

Divide through by x

y/x = rx

y/x = r

r = y/x

When y = 7.5, x = 5.8

Substitute these values

r = y/x becomes

r = 7.5/5.8

Multiply denominator and numerator by 10

r = (7.5 * 10)/(5.8 * 10)

r = 75/58

In this case, it's best to leave the answer in fraction.

However, it can be solved further.

r = 75/58

r = 1.29 (Approximated)

Hence, the constant of proportionality is 75/58 or 1.29

5 0
2 years ago
Read 2 more answers
remmi wrote the equation of the line y=1/3(x+2). He solved for x and got x=3y-2. which following is an equivalent equation for x
Semmy [17]

Answer:

Answer you chosen in the option is correct!

Step-by-step explanation:

Here we can see that Remmi got x =3y -2

if we need to match it from given options we can take 3 as common factor from the right side ,Since we dont have 3 common in second term but using common number of property of numbers we can pull 3 from both terms because of which 3 is now in denominator of second term which is 2/3

therefore equation becomes  as third option so answer chosen by you is correct

8 0
2 years ago
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Sue Jones is insured for bodily injury in the amount of 10/20. She is at fault in an accident in which Albert Smith is injured.
lianna [129]
For this case, what you should know is that Sue Jones insurance covers half of the expenses. Equivalently, her insurance covers:
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 Therefore, we have then that
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 b. for Sam 
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 c. total
 The sum of the results of parts a and b
 $ 6000 + $ 4000 = $ 10,000
 answer
 $ 6000
 $ 4000
 $ 10,000
4 0
2 years ago
Read 2 more answers
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