MATHEMATICS HIGH SCHOOL

The sum of the interior angles of a quadrilateral equals 360°.
a. True
b. False

Answers

Answer 1
Answer: a true cause it is equal to 360
Answer 2
Answer: A.True a quadrilateral equals 360 degrees

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Complete the equation to show two equivalent expressions.

g2 – 4g – 21 = (g – )(g + )

Answers

Answer:

g^2-4g-21=(g-7)(g+3)

Step-by-step explanation:

To complete the left side of the equation, we need to bring it to the form

(g-a)(g+b)

expanding this expression we get:

g^2+bg-ag-ab

g^2+(b-a)g-ab

Thus we have

g^2-4g-21=g^2+(b-a)g-ab

from here we see that for both sides of the equation to be equal, it must be that

b-a=-4

-ab=-21.

Getting rid of the negative signs we get:

a-b=4

ab=21

At this point we can either guess the solution to this system (that's how you usually solve these types of problems) or solve for a and b systematically.

The solutions to this set are a=7 and b=3. (you have to guess on this—it's easier)

Therefore, we have

(g-a)(g+b)=(g-7)(g+3)

which completes our equation

\boxed{ g^2-4g-21=(g-7)(g+3)}

Answer: -7 and +3

did the assignment

What is 9×9 please help me

Answers

9x9 is 81. It is easy because 9x9=9+9+9+9+9+9+9+9+9. As you can see, that is 9 added 9 times.

Margaritas is a very popular restaurant. Occasionally, the restaurant provides lunch and/or dinner for a local charity house. Each lunch costs $6.50. Each dinner costs $10.25. The restaurant's expenses for providing the meals cannot exceed $1,183 per trimester. If x represents the number of lunches and y represents the number of dinners, what domain best fits the situation

Answers

Given:
lunch cost = $6.50
dinner cost = $10.25
Cannot exceed $1,183 per trimester

x represents the number of lunches
y represents the number of dinners

6.50x + 10.25y < 1,183

Rewrite the function y = x2 - 6x + 14

Answers

y = x² - 6x + 14

rewrite in vertex form:

y - 14 = x² - 6x 

perfect square trinomial.
x² ⇒ x * x
-6x ⇒ -6x / 2 = -3x
-3² = 9

(x - 3)² ⇒ (x-3)(x-3) ⇒ x(x-3) -3(x-3) = x² - 3x - 3x + 9 = x² - 6x + 9

y - 14 + 9 = (x-3)²
y -5 = (x-3)²
y = (x-3)² + 5

WILL GIVE BRAINLIEST!!!!! 30 POINTS!!! Expression 1
6x7-3^2x9+4^3

Expression 2
5+4x2+6-2x2-1

(a) What is the value of Expression 1?
(b) Insert parenthesis in Expression 2 so that it has a value 19. Then show why your expression has a value of 19.

PLEASE EXPLAIN IN GREAT DETAIL!!! IF YOU DON'T SHOW YOUR WORK/STEPS I WILL NOT GIVE BRAINLIEST!

Answers

Expression 1 (E1)
6 * 7 - {3}^(2 * 9) + {4}^(3)
Let's Simplify E1
42- {3}^(18) + 64 \n 42 - 38742089 + 64 \n = - 387420383
E1, is just simply combining like terms. Plus an expression in math, is simply something that doesn't equal anything, moreover a phrase.

Expression 2 (E2)
5 + 4 * 2 + 6 - 2 * 2 - 1
Without Parenthesis, the expression's value is
5 + 4 * 2 + 6 - 2 * 2 - 1 \n 5 + 8 + 6 - 4 - 1 \n 13 + 6 - 4 - 1 \n 19 - 4 - 1 \n 14
With Parentheses, you'll get
5 + 4 * 2 + 6 - 2 * 2 - 1 \n (5 + 4 )* 2+ 6 -2 * 2- 1 \n ((9) * 2) + 6 - 2 * 2 - 1 \n (18) + 6 - 2 * 2 - 1 \n (24) - 2 * 2 - 1 \n (24) - 4 - 1 \n 19
In E2, you expression first has a value of 14 due to the order of operations, PEMDAS (Please Excuse My Dear Aunt Sally) standing for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. When using the order operations before the parentheses, multiplication is done first before 5 is added to 4, order states that 4 must be multiplied by 2 first before addition. However, when placing a parentheses around 5 plus 4 we are now multiplying the value of that expression, (5+4), by 2, so it becomes 9×2, because the order of operations must be followed.

Explain how you would write 36/10 as s decimal

Answers

So make the improper fraction into a mixed fraction.
36/10 in mixed fraction form is 3 6/10
You know that 3 is a whole number and 6 is the decimals tenths place so the decimal is 3.6

I would write 36/10 as a decimal by first dividing 36 by 10 to get 3.60. Your answer is 3.60.
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