Factor completely and then place the factors in the proper location on the grid.a 2 - a - 20

Answers

Answer 1

Answer:

Answer:

The correct answer is (a+4)(a-5)

Step-by-step explanation:

We have the polynomial $a^2-a-20$

For the polynomials of the form $ax^2+bx+c$ we have to rewrite the middle term as a sum of two terms whose product is, in this case, a.c=-20 and whose sum is b=(-1).

$a^2-a-20=\na^2+(-5+4)(a)-20=\n=a^2-5a+4a-20$

Because b=(-5)+4=(-1) and a.c=(-5).4=(-20)

Now we have to factor by grouping:

$a^2-5a+4a-20=\n(a^2+4a)-(5a+20)=\na(a+4)-5(a+4)=\n=(a-5)(a+4)$

Then, the correct answer is (a+4)(a-5)

Answer 2

Answer: The fully factored form of this expression would be
(A-5)(A+4).

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Question 2 of 10 What is the length of side s of the square shown below? 45 6 09 90° O A. 6 O B. 2 O C. 32 O D. 5 O E. 3 OF. 6-12

Answers

Answer:

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = $(√(2) )/(2)$ , then

cos45° = $(adjacent)/(hypotenuse)$ = $(s)/(6)$ = $(√(2) )/(2)$ ( cross- multiply )

2s = 6 $√(2)$ ( divide both sides by 2 )

s = 3 $√(2)$ → C

Please help me with this! I would appreciate it :)

Answers

1. b. Commutative Property of Addition
Reason: There is no multiplication used

2. a. 60
Reason: 36 + 24 = 60

3. b. 3d + 9
Reason: Simplification and combining like terms :)

4. b. 4,-1
Reason: Coefficients are the numbers in front of variables

5. b. 36m + 9
Reason: Just use distributive property (multiply 9 into both terms inside parenthesis)

6. b. 95.488
Reason: b = 165.288 - 39.7 - 30.1

7. The question is cut off, unanswerable

8. c. 5a, -3a
Reason: Like terms are things you can combine. So technically the answers could be b. and c. but just go with c. because they have variables.

9. b. 16
Reason: just add 4 to both sides to get the "a" by itself

Best of luck to you!

(83.9x10^12)(2.87x10^-3)/ 3.76x10^2

Answers

(83.9 × 10^12)(2.87 × 10^-³)
   3.76 × 10²
(83,900,000,000,000)(0.00287)
   376
240,793,000,000
   376
640,406,914.9

Write 90 as a product of primes.
Use index notation where appropriate.

Answers

Answer:

2 × 3 × 3 × 5

Step-by-step explanation:

2 x 3 = 6

6 x 3 = 18

18 x 5 = 90

Plz help me answer this i dont need an explanation

Answers

Answer:

$A((√(3) )/(2) ,(1)/(3))\n \nand\n\nB( 1, 1)$

Point A {√3 /2 ,1 /3}

Point B { 1, 1}

could not be the points on the unit circle.

Step-by-step explanation:

Unit circle :

A circle having a radius of one unit is called the unit circle.

Standard equation of circle given by

x² + y² = r²

r = radius of

∴ x² + y² = 1²

∴ x² + y² = 1

∴ $A((√(3) )/(2) ,(1)/(3))\n \nand\n\nB( 1, 1)$

Points are not on the unit circle as on substituting this x and y values

in the above equation we get

Left hand side ≠ Right-hand side

∴ $A((√(3) )/(2) ,(1)/(3))\n \nand\n\nB( 1, 1)$

could not be the points on the unit circle.

What is the percentage of 199.50 out of 286?

Answers

286 = 100 %
199.5 = x

In order to find x we need to cross multiply 286*x=199.5*100
286x=19950 / 286
x=69.8 (%)

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