Question:
The identity [tex]A^2 - B^2 = (A + B) (A - B)[/tex] is true for all values of A and B. Compute the whole number value of [tex]2021^2 -2022^2[/tex]
Answer:
[tex]2021^2 - 2022^2 = -4043[/tex]
Step-by-step explanation:
Given
[tex]A^2 - B^2 = (A + B) (A - B)[/tex]
Required
Solve: [tex]2021^2 -2022^2[/tex]
In: [tex]2021^2 -2022^2[/tex]
[tex]A = 2021; B = 2022[/tex]
[tex]A^2 - B^2 = (A + B) (A - B)[/tex] becomes
[tex]2021^2 - 2022^2 = (2021 + 2022)(2021 - 2022)[/tex]
[tex]2021^2 - 2022^2 = (4043)(-1)[/tex]
[tex]2021^2 - 2022^2 = -4043[/tex]
I need help asap this is Trigonometry
Answer:
∠BAC = 54.11°
Step-by-step explanation:
cos ∠BAC = 17/29 = 0.5862
∠BAC = 54.11°
Sandra took 4 tests in math and her mean score was 18. I she scored 18, 22, and
17 in three tests, find Sandra's score in the fourth test.
Answer:
15
Step-by-step explanation:
(18+22+17+x)/4=18
18+22+17+x=18×4
57+x=72
x=72-57
x=15
Solve the equation. You may find using algebra tiles to be helpful.
2x + 7 = 13
x =
Answer:
x= 3
Step-by-step explanation:
Move all the terms that do not contain x to the right side and solve.
Hope this helped!
⭐ Please consider giving Brainliest if this answer helped you ⭐
meter in length. What
The fairy fly is one of the world's smallest insects. It may measure no more than 1.39 x 10
the total length of 2 of these insects, placed end to end?
A 2.78 x 10-8 meter
B. 2.78 x 10
-4
aft
meter
C. 1.39 x 10
-8
meter
D. 1.39 x 10
0--2
meter
Lorenzo's family is driving to the beach to go kayaking with sea otters. The beach is 85 miles from Lorenzo's house. They have already driven 63 miles. Help and plz put the equation
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but I'm guessing that you want to find the equation to know the miles left for Lorenzo family to reach the beach.
The equation will be gotten by subtracting the distance that the family has driven already from the total distance from their house to the beach. This will be:
= 85 miles - 63 miles
= 22 miles
How do you simplify
1 π (64)^2 (6)
Answer:
if you multiply pi by 64^2 times 6 then it comes out to 77207.78
Step-by-step explanation:
64^2 = 4096
4096 (6) = 24576
24576 (π) ≈ 77207.78
3. Which situation is best described by the graph shown?
HELLPPP PLEAAAASEEE
A. Allison purchases lemons for $0.75 each.
B. Sophia buys 12-packs of soda for $1.75 each.
C. Jacob buys packs of gum for $1.50 each.
D. Garrett buys limes for $0.80 each.
What is the value of x
b is your correct answer hope help you
Please help! Will give Brainliest!
Answer:
A
Step-by-step explanation:
Evaluate the expression when m=12
Answer:
Where's the expression?
Step-by-step explanation:
I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE!!!
hurryy
Answer:
1) true
2) false
3) true
4)false
Step-by-step explanation:
It's a number cube with 1-6
simplify polynomials -3x²+2x-x³+4-7x²
Answer:
-(x^2 + 10x^2 - 2x - 4)
Step-by-step explanation:
A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.
True or False
A. The difference in height between the pelican and the heron is -33 feet.
Answer:
False
Step-by-step explanation:
This is because there both above sea level and 50-17=33 not -33
Graph y ≤ (x + 2)^2.
Click on the graph until the correct graph appears.
Answer:
the first one is the correct one
Step-by-step explanation:
a great way to check this is to use demos .com
Answer:
its the first one
Step-by-step explanation:
our vertex is (-2,0)
so replace it in the equation y ≤ (x + 2)^2
so, 0 ≤ (-2 + 2)^2
= 0 ≤ (-4)^2
= 0 ≤ 16
look at that statement, is 0 less than or equal to 16? Yes. Therefore it is correct, so you shade out side of the parabola.
TIP: If the parabola opens up and:
y <, then shade outside.
y >, then shade inside.
Do the opposite if the parabola opens down.
Simplify 3^2 ⋅ 3^5.
3^7
3^10
9^7
9^10
Answer: 135, 21, 30, 63, 90
Step-by-step explanation:
(WILL GIVE BRAINLIEST AND 50 POINTS ) A small town voted to decide if a road should be expanded from two lanes to four lanes. The two-way table below shows the results of the vote.
Favor Oppose Neutral Total
Age
18-25 33 12 46 91
Age
26-40 45 15 36 96
Age
40+ 10 29 24 63
Total 88 56 106 250
Which correlation does the two-way table suggest?
A.
Voters age 40 and over are least likely to favor road expansion.
B.
Voters between the ages of 18 and 25 are least likely to favor road expansion.
C.
Voters between the ages of 26 and 40 are most likely to oppose road expansion.
D.
The majority of the voters are most likely to favor road expansion.
Answer:
A. Voters age 40 and over are least likely to favor road expansion.
2. You went out to eat with 3 friends and your meal cost $82.50. How much was the bill if
6.75% sales tax was included?
How much would you tip the waiter, if you wanted to leave a 20% tip?
Answer:
17.61
Step-by-step explanation:
82.50 x 0.0675 = 5.57
82.50 + 5.57 = 88.07
88.07 x 0.20 = 17 61
hope this helps
Which one of these statements correctly states Pythagoras' Theorem for the following diagram?
a) d 2 = e 2 − f 2
b) d 2 = e 2 + f 2
c) e 2 = d 2 + f 2
d) f 2 = d 2 + e 2
Answer:
I couldn't really read the problem that well, but if there's an e^2+f^2=d^2, then that's probably the correct option.
Step-by-step explanation:
Mehvish buys 1/2 kg carrots, 3 kg potatoes, 2 kg onions and 1 1/2kg of chicken.
PRICE LIST
carrots: 50p per kg
potatoes: 64 per kg
onions: 42p per kg
Chicken: £6 per kg
She pays with a £20 note.
Work out the change that Mehvish should get.
Answer:
The amount of change will be £7.99
Step-by-step explanation:
Here, we want to calculate the amount of change that Mehvish should get
1/2 kg carrots at 50 p per kg will be;
1/2 * 50 = 25 p
3 kg potatoes at 64 p per kg will be
3 * 64 = p 192
2 kg onions at 42 p per kg
2 * 42 p = 84 p
1 1/2 kg chicken at £6 per kg will be:
since £1 is 100 p
1.5 * 6 = £9 (9 * 100 p = 900p)
since £1 is 100 p
£20 will be;
20 * 100 = 2,000 p
So let us make the subtraction as follows;
2,000- 900 - 84-192 - 25 = 799 p
In pounds, this is divided by 100
we have this as 799/100 = £7.99
Done<
In the diagram below, AB BC, and mZBCD = 115°. Find mZB.
Statement
B.
Question #8 help me plz
Answer:
UH HOLD ON RIGHT QUICK CAN YOU TELL ME THE QUESTION
Step-by-step explanation:
Solve for y. 2(3y-7)=16
Answer:
y=5
Step-by-step explanation:
First, distribute the 2 to the 3y and -7
6y - 14 = 16
Second, add 14 to both sides.
6y = 30
Third, divide both sides by 6
y = 5
As you can see y equals 5!
I hope the explanation helped and have a great day!
Answer:
y = 5
Step-by-step explanation:
2(3y - 7) = 16
distributive property:
2(3y - 7) = 16
6y - 14 = 16
add 14 on both sides
6y - 14 + 14 = 16 + 14
6y = 30
divide both sides by 6 :
[tex]\frac{6y}{6} = \frac{30}{6}[/tex]
y = 5
to check, subtitute 5 for y
2 (3(5) - 7) = 16
2(18 - 7) = 16
30 - 14 = 16
16 = 16
Which is a diagonal through the interior of the cube?
If one set of opposite sides of a quadrilateral are parallel but not equal, then what would be the name of the quadrilateral??
Answer:
a trapezoid i think
Step-by-step explanation:
i hope this helps
Super sorry if if im wrong
Kelsha purchased a prepaid phone card for $30. Long distance calls cost 21 cents a minute using this card. Kelsha used her card only once to make a long distance call. If the remaining credit on her card is $22.44, how many minutes did her call last?
Answer:
2.646
Step-by-step explanation:
Natalia buys a stamp priced at $51.00. The sales tax rate is 4.2%.
What is the tax amount to the nearest cent?
please answer this :,)
Answer:
$53.14
Step-by-step explanation:
$51.00+4.2%
53.14200
round:53.14
please help out!!!!!
Answer:
SSS
Step-by-step explanation:
It will be SAS or AAS or ASA if there is the little angle sign that looks like a semi-circle in the corner. But the Lines in the side of the tringles indicate side not angle
One leg of a right triangle is 3 cm and the hypotenuse is 5 cm. Joni found the length of the other leg by evaluating √32 + 52. What error did she make? How would you help her correct her error so she is less likely to make the same error in the future?
Answer: See explanation
Step-by-step explanation:
We should note that the hypothenuse is the longest side in a triangle. Therefore, the length of the other side will be represented by x. This is then solved below:
x² + 3² = 5²
x² + 9 = 25
x² = 25 - 9
x² = 16
x = ✓16
x = 4cm
The other leg is 4cm
Joni shouldn't have added the hypothenuse to the other leg but rather subtracted the square of the other leg from the square of the hypothenuse and then find the square root.
A pair of sneakers that originally cost
$95 went on sale for 40% off. What's
the new price?
Answer:
57 dollars
Step-by-step explanation:
95-40%
95 - 38 = 57 dollars.
please help. my grade in math is terrible all i want is help please.
Charmaine buys candy that costs $5 per pound. She will spend less than $45 on candy. What are the possible numbers of pounds she will buy?
Use P for the number of pounds Charmaine will buy.
Write your answer as an inequality solved for P.
Answer:
45 divided by 5 = p
p= 9.
....