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olasank [31]
2 years ago
8

Quadrilateral ABCD has vertices A(–2, 4), B(1, 3), C(2, –3), and D(–3, –1). Graph quadrilateral ABCD and its image after a rotat

ion of 90° counterclockwise about (−1, 2)
Mathematics
1 answer:
marshall27 [118]2 years ago
5 0

Answer:

(-3 , 1)(-2,4) (4,5) (2,0)

Step-by-step explanation:

Rotation around center (x₀ , y₀), counterclockwise rotation θ degree

x₂ = (x₁-x₀)cosθ - (y₁-y₀)sinθ + x₀  

y₂ = (x₁-x₀)sinθ + (y₁-y₀)cosθ + y₀

A(-2.4) -> counterclockwise rotation 90°

F(x,y): x = (-2+1)cos90° - (4-2)sin90° + (-1) = -3

          y = (-2+1)sin90° + (4-2)cos90° + 2 = 1

F (-3 , 1)

Use the above formula to calculate other 3 points: (-2,4) (4,5) (2,0)

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Which of the following linear relationships is NOT also a proportional relationship?
katen-ka-za [31]

The linear relationships that are proportional relationship are y = (-2)x , y = (3/5)x  , y = - (1/2)x  .

A linear relationship in the form of y = mx + c is said to be a proportional relationship when c = 0  .

in the question

Part(a)

the equation is  y = (2)x - 3

on comparing it with y = mx + c , we get c = -3 , which is not 0 .

So , it is not a proportional relationship .

Part(b)

the equation is  y = (-2)x

on comparing it with y = mx + c , we get c = 0 ,

So , it is a proportional relationship .

Part(c)

the equation is  y = (3/5)x

on comparing it with y = mx + c , we get c = 0 ,

So , it is a proportional relationship .

Part(d)

the equation is  y = - (1/2)x

on comparing it with y = mx + c , we get c = 0 ,

So , it is a proportional relationship .

Therefore, The linear relationships that are proportional relationship are y = (-2)x , y = (3/5)x  , y = - (1/2)x  , that are options (b) , (c) and (d) .

The given question is incomplete , the complete question is

Which of the following linear relationships is NOT also a proportional relationship?

(a) y = (2)x - 3

(b) y = (-2)x

(c) y = (3/5)x

(d) y = - (1/2)x

Learn more about Proportionality here

brainly.com/question/14967814

#SPJ1

8 0
1 year ago
PLEASE ANSWER
statuscvo [17]
Answer: B) 2

Detailed Answer:

The degree of a polynomial is the highest power in the polynomial. Here the highest power is 2 hence the degree is 2. Polynomials with the degree 2 are also called quadratic polynomials.
8 0
2 years ago
A square vegetable garden has side lengths of 8 feet. You plant flowers in the center portion of the garden, a square that has s
Studentka2010 [4]

Base on the total area of the square garden and the number of plants planted on it, the area of the zucchini section is 15 feet²

<h3>How to find area of zucchini section?</h3>

Side Length of the square garden = 8 feet

Area of the garden = side length ²

= 8 feet × 8 feet

= 64 feet²

Flower portion:

Side Length = 2 feet

Area of flower portion = side length ²

= 2 feet × 2 feet

= 4 feet²

Remaining space = Area of the garden - Area of flower portion

= 64 feet² - 4 feet²

= 60 feet²

Remaining space is divided into 4 equal sections

= 60 feet² / 4

= 15 feet²

Therefore,

Tomatoes section = 15 feet²

Onions section = 15 feet²

Zucchini section = 15 feet²

Pepper section = 15 feet²

Learn more about area of a square:

brainly.com/question/24487155

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8 0
1 year ago
Here is an easy puzzle:
galina1969 [7]
The answer is 
date
1                  2                 3          4             5                                         31
r1                r2               r3           r4          r5               .  .  .                  r31
1gm           2gms         3<span>gms     4gms    5gms        .   .  .                 31gms

r1+r2+ .... +r31= 31(31+1) /2=496gms  (31 rings)

he only made 5 rings

31 rings----------> 496 gms
5 rings ------------> ? = 5 x496  / 31=80 gms

</span><span> the weights of those 5 rings was 80 gms</span>
4 0
3 years ago
What's |5| + |–7|?
Marizza181 [45]

Answer:

C) 12

Step-by-step explanation:

Absolute value always means it is the positive version of the number

This switches -7 to 7 and 5 stays the same.

5 + 7 = 12

4 0
3 years ago
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