MATHEMATICS HIGH SCHOOL

Consider therelation {(–4, 3), (–1, 0), (0, –2), (2, 1), (4, 3)}.

Graph the
relation.

State the domain of
the relation.
State the range of
the relation.
Is the relation a
function? How do you know?

Answers

Answer 1
Answer: \{(-4, 3), (-1, 0), (0, -2), (2, 1), (4, 3)\}\n\nthe\ domain:\ D=\{-4;-1;0;2;4\}\n\nthe\ range:\ R=\{-2;0;1;3\}\n\nThe\ relation\ is\ a\ function:\ \nfor\ every\ x\in D\ there\ is\ exactly\ one\ value\ of\ y\in R.

The\ graph\ is\ in\ the\ annex.

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Eight less than the quotient of a number and 3 is 5

6.5 ft 6 ft- 11 ft N 5 ft What is the surface area? A 258 square feet B 195 square feet C 228 square feet D 330 square feet​

Answers

Answer:

Step-by-step explanation:

area of base = 5×11 = 55 ft²

area of triangle = ½×5×6 = 15 ft²

area of rectangular face = 6.5×11 = 71.5 ft²

surface area = 55 + 2×15 + 2×71.5 = 228 ft²

Solve x2 – 12x + 11 = 0 by completing the square.Question 7 options:

x = –1


No Real Solutions


x = 11 and x = 1


x = 11

Answers

The solution to the quadratic equation x² - 12x + 11 = 0 is x = 11 and x = 1.

What is the solution to the quadratic equation?

Given the quadratic equation in the question:

x² - 12x + 11 = 0

To solve the quadratic equation x² - 12x + 11 = 0 by completing the square, first the constant term to the other side of the equation:

x² - 12x + 11 = 0

x² - 12x + 11 - 11 = 0 - 11

x² - 12x = -11

Next, find the value that is equal to the square of half of b:

( b/2 )² = ( -12/2 )² = (-6)²

Add (-6)² to each side of the equation:

x² - 12x + (-6)² = -11 + (-6)²

x² - 12x + 36 = -11 + 36

x² - 12x + 36 = 25

Factor the perfect trinomial sqaure:

( x - 6 )² = 25

Solve for x:

x - 6 = ±√25

x - 6 = ±5

x = 6 ± 5

Hence, x = 6 - 5 = 1

And x = 6 + 5 = 11.

Therefore, the values of x are 1 and 11.

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ3

Answer:

Step-by-step explanation:

x^2 – 12x + 11 = 0

(x-11)(x-1)

x= 11, 1 completing the square

Sally's cat is 5 years older than Helen's dog. The product of their ages is 104. How old is Helen's dog?A. 55

B. 49

C. 8

D. 13

Answers

Helen's dog is 8 and Helens cat is 13 if you multiply those two together you get a product of 104 so the answer is C = 8
The answer should be C. The formula would be x=104-5/ what ever number is more than the number you need to find.

1982 2016 how many year

Answers

 the correct answer is 34 years 
2016 - 1982 =34 si it's a 34 Year difference.

Given: ABCD is a parallelogram.Prove: ∠A and ∠D are supplementary.

Parallelogram A B C D is shown.

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are
angles. Because AB and DC are
, the same-side interior angles must be
by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

Answers

Answer:

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are  

✔ same-side interior

angles.  Because AB and DC are  

✔ parallel

, the same-side interior angles must be  

✔ supplementary

by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.

Step-by-step explanation:

Answer:

The answer above is correct!

The correct options are:

First box: option D. same-side interior

Second box: option C. parallel

Third box: option D. supplementary

Step-by-step explanation:

Hope this helped - just got it right on edge!

Brainliest would be greatly appreciated :)

What is the surface area of a rectangular prism with a length of 3 mm, a width of 5 mm, and a height of 8 mm?mm2

Answers

158, because to solve this question we first need to know the formula for finding the surface area of a rectangular prism which is A=2(wl+hl+hw) then you just need to input the numbers like so A=2(5*3+8*3+8*5) then when you simplify this down you get A=2(79) then distribute like so so A=158

Enjoy!=)
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