The value of the given expression will be equal to ( x + y )² = a + 8.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
xy = 4 and x² + y² = aThe expression will be calculated as:-
( x + y )² = x² + y² + 2 xy
( x + y )² = a + 2 x ( 4 )
( x + y )² = a + 8
Therefore the value of the given expression will be equal to ( x + y )² = a + 8.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ1
Percy solved the equation x2 7x 12 = 12. his work is shown below. is percy correct? explain. 1. (x 3)(x 4) = 12 2. x 3 = 12 or x 4 = 12 3. x = 9 or x = 8
Percy solved the equation by expanding the expression on the left-hand side, and this is incorrect
How to determine the true solution?The equation is given as:
x^2 + 7x + 12 = 12
The first step in solving the equation is to equate the equation to 0.
i.e.
x^2 + 7x + 12 - 12 = 0
This given
x^2 + 7x = 0
From the question, Percy solved the equation by expanding the expression on the left-hand side
Hence, Percy's solution is incorrect
Read more about equations at:
https://brainly.com/question/2972832
#SPJ4
Answer:
Percy is not correct because he applied the zero product property to a factored expression that was not equal to 0. He should have subtracted 12 from both sides to get x2 + 7x = 0 before factoring. The correct solutions are 0 and -7.
Please help, thanks!!
A cylinder has a height of 4 inches and a
base with a surface area of 113 square
inches. What is its volume?
Answer:
The volume is 452 square inches.
Step-by-step explanation:
Volume=area of base*height
just plug in the values
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
Add 7 cubes to the big square and 1 cube to the three square strip on the bottom of the big square in Step 3
Sorry if the answer is unclear, I tried my hardest to explain it properly. Please tell me if it's right, and if it is, I would appreciate a Brainliest.
(I added an image of what the answer might be)
The pattern
For top
x²For beneath
xLook
for 1 there is 1
for 2 there is 2²=4
for 3 there is 3²=9
So for 4
There will be 4²=16Drag the tiles to the correct boxes to complete the pairs.
Simplify the inequalities and match them with the graphs that represent them.
Answer:
1) 1, 2) 3, 3) 2, 4) 4Step-by-step explanation:
Solve the inequalities and match with the graphs
1) 7x < 42 ⇒ x < 42/7 ⇒ x < 6 ⇔ matching the graph 12) 3x > 15 ⇒ x > 15/3 ⇒ x > 5 ⇔ matching the graph 33) x + 1 < 8 ⇒ x < 8 - 1 ⇒ x < 7 ⇔ matching the graph 24) 2x > 12 ⇒ x > 12/2 ⇒ x > 6 ⇔ matching the graph 4Answer:
7x < 42
x + 1 < 8
3x > 15
2x > 12
Step-by-step explanation:
> means "more than" (shading to the right)
< means "less than" (shading to the left)
Solve the given inequalities
7x < 42
⇒ 7x ÷ 7 < 42 ÷ 7
⇒ x < 6
An open circle on 6, shading to the left
3x > 15
⇒ 3x ÷ 3 > 15 ÷ 3
⇒ x > 5
An open circle on 5, shading to the right
x + 1 < 8
⇒ x + 1 - 1 < 8 - 1
⇒ x < 7
An open circle on 7, shading to the left
2x > 12
⇒ 2x ÷ 2 > 12 ÷ 2
⇒ x > 6
An open circle on 6, shading to the right
Roadstone Limited can resurface 7/8km of a road in a day. How many days will it take
to resurface a road of length 14 km?
Answer:
16 daysStep-by-step explanation:
Let x be the number of days that it will take.
7/8 km per 1 day
14 km per x day
We have to solve the equation:
[tex]\frac{x}{1} =\frac{14}{\left( \frac{7}{8} \right) }[/tex]
[tex]\Longrightarrow x=14\times \frac{8}{7} =2\times 8=16[/tex]
What are the solutions of this quadratic equation? 6x2 6 = 12x 18 a. b. c. d.
The solution to the quadratic equation 6x² + 6 = 12x is x = 1
How to determine the solutions?The quadratic equation is given as:
6x² + 6 = 12x
Equate the equation to 0
6x² - 12x + 6 = 0
Expand the equation
6x² - 6x - 6x + 6 = 0
Factorize the expression
6x(x - 1) - 6(x - 1) = 0
Factor out x - 1
(6x - 6)(x - 1) = 0
Split
6x - 6 = 0 or x - 1 = 0
Solve for x in both instance
x = 1 or x = 1
Hence, the solution to the quadratic equation 6x² + 6 = 12x is x = 1
Read more about equations at:
https://brainly.com/question/723406
#SPJ4
Fill in the missing number. 50% of ????= 13
Phillipa rode her bicycle every day over the weekend. Phillipa rode [ ( 13 . 5 + 8 . 5 ) ÷ 2 ] miles on Friday, [ 18 − ( 2 × 4 ) ] miles on Saturday and [ 20 − ( 5 − 3 ) ] miles on Sunday. On which day did Phillipa ride her bicycle the most? She rode her bicycle the most on .
Answer: Use pemdas to solve
Friday:
(13.5 + 18.5) ÷ 2
= 16
Saturday:
18 - (2 x 4)
= 10
Sunday:
20 - (5 - 3)
= 18
Step-by-step explanation:
Phillipa rode her bicycle the most on Sunday.
Hope this helps.
help meeeeee 1/2 X (6 X 4)+3 + 2
6x4=24
24x1/2=12
12+3=15
15+2=17
17 is the answer
Two cheeseburgers and one small order of fries contain a total of 1320 calories. Three cheeseburgers and two small orders of fries contain a total of 2170 calories. Find the caloric
content of each item.
Answer:
cheeseburger: 470 caloriesfries: 380 caloriesStep-by-step explanation:
The given relations let you formulate two equations in the two unknown values. These can be solved by any of the usual methods.
__
setupLet x represent the caloric content of a cheeseburger, and y the caloric content of a small order of fries. The problem statement tells us ...
2x +y = 1320
3x +2y = 2170
__
solutionSubtracting the second equation from twice the first gives ...
2(2x +y) -(3x +2y) = 2(1320) -(2170)
x = 470
Using the first equation, we can find y:
y = 1320 -2x = 1320 -2(470) = 380
__
A cheeseburger has 470 calories; a small order of fries, 380 calories.
_____
Attached is a graphing calculator solution.
Learn with an example
or
Watch a tutorial
When Abigail had one cat, she needed to serve 2 cans of cat food each day. Now that Abigail
has adopted a second cat, she needs to serve a total of 3 1/2 cans each day. How much extra
food is needed to feed the second cat?
Write your answer as a fraction or as a whole or mixed number.
cans
Based on the information provided, to feed the second cat it is necessary 1 1/2 extra cans or 1.5 cans.
How much extra food is needed to feed the second cat?This difference can be found by substracting the total cans fed with only one cat to the total fed with two cats:
3 1/2 cans - 2 cans = 1 1/2 cans, which can also be expressed as 1.5 cans.Based on this, to have a second cat implies 1.5 extra cans.
Learn more about feed in: https://brainly.com/question/15585750
#SPJ1
Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less.
Starting from a full tank, can Diego’s family drive the car for 25 days without the warning light coming on?
Select the correct choice.
A.) YES
B.) NO
A person can read 24 pages of a book in 1/3 of an hour. What is this person's reading rate in pages per hour?
48
12
72
8
Answer:
72
Step-by-step explanation:
If he reads 24 pages in 1/3 of an hour, he reads 3 times as many pages in 1 hour.
3 × 24 pages = 72 pages
Answer: 72
PLEASE HELP
a41= 5 7 2
Please help the best answer will get brainliest
Answer:
164 cm^2
Step-by-step explanation:
Total surface area = 2 * area of triangle + areas of the 3 rectangles
= 2 * 1/2 * 5 * 4 + 5 * 9 + 5 * 9 + 6 * 9
= 20 + 45 + 45 + 54
= 164 cm^2
5. For the past 10 days, a city planner has counted the number of
northbound cars that pass through a particular intersection During
that time, 200 or more cars were counted 9 out of 10 days.
a. What is the experimental probability that there will be 200 or more
northbound cars passing through the intersection on the eleventh day?
b. What is the experimental probability that there will not be 200 or
more northbound cars passing through the intersection on the
eleventh day?
Can someone please help I’m stuck ( and please show the work) thank you.
Enrique is saving money to buy a graphing calculator. So far he has saved $30.
His math teacher told him he has saved 40% of what he will need. How much
does the calculator cost?
Answer: its free
Step-by-step explanation:
what is 90% of $90,000,000
Answer:
81000000
[tex]\frac{90}{100} *90000000\\ 90*900000\\ 9*9=81\\ then write all the zeros[/tex]
2. A tent is cylindrical in shape with a conical top above it. The radius of the base of the tent is 7 m. The height of the cylindrical part is 10 m and the height of the conical part is 4 m. Find the volume of air in the tent and the area of canvas cloth needed to construct the tent.
19. A soccer field is a rectangle 90 meters wide and 120 meters long. If you were
asked to run from one corner to the other corner diagonally across, what is the
distance?
a. 150 meters
b. 1500 meters
c. 15 meters
d. 200 meters
(4a^3 - 36a^2 + 60a^2 + 72) \ (a - 6)
Answer:
4a^2+48a+288+(fraction)1800/a-6
Step-by-step explanation:
Which is the best peer evaluation of the conclusion? the details and mechanics are good, but sentences 2 and 3 should be reorganized to include logical transitions. the word choice and style are good, but there are punctuation and organizational errors in sentences 1 and 2. the mechanics and organization are good, but sentences 1 and 3 should be edited to achieve a formal style and objective tone. the tone and style are good, but errors in grammar, spelling, and punctuation in sentences 1, 2, and 3 should be fixed.
The best peer evaluation is C. the mechanics and organization are good, but sentences 1 and 3 should be edited to achieve a formal style and objective tone.
What is the best peer evaluation?The best peer evaluation is a critical review that critiques and provides feedback to other students on their academic work.
The purpose of a peer evaluation is to develop students' lifelong skills in assessing and providing feedback to others.
Peer evaluation also equips students with self-assessment skills to improve their own work.
Thus, the best peer evaluation is C. the mechanics and organization are good, but sentences 1 and 3 should be edited to achieve a formal style and objective tone.
Learn more about peer evaluations at https://brainly.com/question/26984123
#SPJ4
#79 will give brainliest please help!
Step-by-step explanation:
this means the factors of the various terms of x and the constant.
a = 4
b = 1
c = 9
and yes, if there would be negative factors, the signs wold be part of a, b and c too.
overall, this is then used to solve the quadratic equation.
the general solution is
x = (-b ± sqrt(b² - 4ac))/(2a)
Can somebody help me with this? Please and Thank you
[tex]\text{Given that,}~ p(x) = x^2 +3 ~ \text{and}~ h(x) = \sqrt{x-3} \\\\(p \circ h)(x)\\\\=p(h(x))\\\\=p\left(\sqrt{x-3}\right)\\\\=\left(\sqrt{x-3} \right)^2 +3\\\\=x-3 +3\\\\=x[/tex]
HELP FAST ITS EASY I JUST NEED TO MAKE SURE PLEASE SOMEONE WHO HAS REAL SKILL AND CAN FINSH THIS ANSWER IT PLEASE I BEG U GUYS I NEED TO FINISH (GIVING BRAINLIEST!!)
Answer: 71/28 or 2 15/28
Step-by-step explanation:
Turn both fractions into improper fractions.
5 1/4 = 21/4
2 5/7 = 19/7 multiply the denominator with the whole then add the numerator, same denominator.
21/4 - 19/7 = ? find common denominator to subtract
4 x 7 = 28 common denominator
Divide the new denominator by previous denominators then multiply by each respective numerator. 28 divided by 4 is 7 multiplied by 21 is 147, the same happens with 19/7.
147/28 - 76/28 = 71/28 or 2 15/28
(URGENT) Maurice and Rhonda a are traveling in the same direction along the same road. Maurice is traveling at 55 mph and is exactly 15 miles ahead of Rhonda, who is traveling at 65 mph. How many hours will it take Rhonda to catch Maurice?
Answer:
Step-by-step explanation:
Givens
Maurice
55 miles an hour
15 miles ahead of Rhonda
d1
Rhonda
65 miles per hour
d2
The distance has to be the same for both in order to meet.
Formula
d1 = d2
d = r * t where r is the speed.
65*t = 55t + 15 Subtract 55t from both sides
Solution
65t - 55t = 55t - 55t + 15 Combine
10t = 15 Divide both sides by 10
10t/10 = 15t/10
t = 1.5 hours
Answer
They will meet in 1.5 hours.
8.
A circular plate has a diameter of 11 inches. An ant walking along the edge makes 1.5 revolutions in 4
minutes. Approximately how many inches does the ant travel in one minute? Round your answer to the
nearest tenth of an inch.
Answer:
[tex]12.95 \: inches[/tex]
Step-by-step explanation:
We were told that the diameter of the circular plate is 11 inches. In order to find the distance the ants travel to make one revolution we have to first find the circumference of the circular plate. Circumference is:
[tex]2\pi \: r[/tex]
The radius would be half of the diameter (11). Therefore the radius is 5.5.
[tex]r = 5.5 \: \: \: \: \: \pi = 3.14 \\ cir = 2(3.14) \: (5.5) \\ cir = 6.28 \times 5.5 \\ cir = 34.54[/tex]
Since we found the circumference of the circular plate that means that we know how much one revolution made by the ants would be (34.54). Since the ant made 1.5 revolutions we have to multiply 34.54 by 1.5.
[tex]34.54 \times 1.5 = 51.81[/tex]
So we now know that the ant walked 51.81 inches in 4 minutes, now we have to find the distance he would walk in 1 minute.
Let x be the unknown value*
[tex] 51.81 \:inches = 4 \:minutes \\ x \:inches = 1 \: minutes\\ \\ 51.81=4x \\ \\\frac{51.81}{4} = x \\ \\ 12.95 = x[/tex]
The following solid is a right pyramid with a square base. a) Calculate the length of AW b) Find the length of VW
Answer:
Step-by-step explanation:
There are 440 fish in a pond. If Dylan has caught 45% of them, how many has he caught?
Answer:
198
Step-by-step explanation:
45% of 440
= [tex]\frac{45}{100}[/tex] × 440
= 0.45 × 440
= 198
A paint mixes green and white paint in the ratio 13:50. 4 litres of white paint are used. How much green is used? please help me
Answer:
1.04 liters
Step-by-step explanation:
If 50 is 4liters
Then 13 is x
Use this below equation
Value t is for value y then how much for value z
[tex]x = \frac{t}{y} \times z[/tex]
X = 4/50 *13
X = 1.04liters
Or
13/50 = x/4 (cross multiply)
50X = 52
X = 52/50
X = 1.04 liters
