Factorize;Answer the tick one i will mark you as brainlist please quickly step by step explanation also please show it clearly i will mark you as brainlist
Answers
Answer:
Solved only ticked ones
4a² + 49b² = (2a + 7b)² - 28ab = 11² - 28*2 = 654x² + 9y² = (2x + 3y)² - 12xy = 12² - 12*6 = 724x² + 9y² = (2x - 3y)² + 12xy = 2² + 12*8 = 10016x² + 25y² = (4x - 5y)² + 40xy = 6² + 40*8 = 356Answer:
use the formula:
[tex]a {}^{2} + {b}^{2} = (a + b) {}^{2} - 2ab[/tex]
1) 4a² + 49b²
= 2²a² + 7²b²
= (2a)² + (7b)²
based on the formula above, a = 2a and b = 7b
= ( 2a + 7b )² - 2(2a)(7b)
substitute 2a+7b = 11 into the equation
= 11² - 2( 14ab )
= 121 - 28ab
substitute ab = 2 into the equation
= 121 - 28(2)
= 121 - 56
= 65
2) 4x² + 9y²
= 2²x² + 3²y²
= (2x)² + (3y)²
based on the formula, a = 2x and b = 3y
= ( 2x + 3y )² - 2(2x)(3y)
substitute 2x+3y = 12 into the equation
= 12² - 2(2x)(3y)
= 144 -2(6xy)
= 144 - 12xy
substitute xy = 6 into the equation
= 144 - 12(6)
= 144 - 72
= 72
3) 4x² + 9y²
= 2²x² + 3²y²
= (2x)² + (3y)²
= (2x)² - (-3y)²
based on the formula, a=2x and b=-3y
= ( 2x-3y )²- 2(2x)(-3y)
substitute 2x-3y = 2 into the equation
= (2)² - 2(2x)(-3y)
= 4 - 2( -6xy )
= 4 + 12xy
substitute xy = 8 into the equation
= 4 + 12(8)
= 4 + 96
= 100
4) 16x² + 25y²
= 4²x² + 5²y²
= (4x)² + (5y)²
= (4x)² - (-5y)²
based on the formula, a = 4x and b = -5y
= (4x-5y)² - 2(4x)(-5y)
substitute 4x-5y = 6
= (6)² -2(4x)(-5y)
= 36 -2(-20xy)
= 36 + 40xy
substitute xy = 8 into the equation
= 36 + 40(8)
= 36 + 320
= 356
Related Questions
the
The shape of a garden is rectangular in the middle and semi circular
at the ends as shown in the diagram. Find the area and the perimeter
Т.
of this garden [Length of rectangle is
7m 20-(3.5 +3.59 metres).
1
DI
20 m
Answers
Answer:
[tex]Area = 129.5m^2[/tex]
[tex]Perimeter = 48m[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine the area and the perimeter of the garden
Calculating Area
First, we calculate the [tex]area\ of\ the\ rectangle[/tex]
[tex]A_1 = L * B[/tex]
Where:
[tex]L = 20-(3.5 +3.5)[/tex]
[tex]B = 7[/tex]
So:
[tex]A_1 = (20 - (3.5 + 3.5)) * 7[/tex]
[tex]A_1 = (20 - 7) * 7[/tex]
[tex]A_1 = 13 * 7[/tex]
[tex]A_1 = 91[/tex]
Next, we calculate the area of the two semi-circles.
Two semi-circles = One Circle
So:
[tex]A_2 = \pi r^2[/tex]
Where
[tex]r = \frac{7}{2}[/tex]
[tex]A_2 = \frac{22}{7} * (\frac{7}{2})^2[/tex]
[tex]A_2 = \frac{22}{7} * \frac{49}{4}[/tex]
[tex]A_2 = \frac{22}{1} * \frac{7}{4}[/tex]
[tex]A_2 = \frac{22*7}{4}[/tex]
[tex]A_2 = \frac{154}{4}[/tex]
[tex]A_2 = 38.5[/tex]
Area of the garden is
[tex]Area = A_1 + A_2[/tex]
[tex]Area = 91 + 38.5[/tex]
[tex]Area = 129.5m^2[/tex]
Calculating Perimeter
First, we calculate the perimeter of the rectangle
But in this case, we only consider the length because the widths have been covered by the semicircles
[tex]P_1 = 2 * L[/tex]
Where:
[tex]L = 20-(3.5 +3.5)[/tex]
So:
[tex]P_1 =2 * (20-(3.5 +3.5))[/tex]
[tex]P_1 =2 * (20-7)[/tex]
[tex]P_1 =2 * 13[/tex]
[tex]P_1 =26[/tex]
Next, we calculate the perimeter of the two semi-circles.
Two semi-circles = One Circle
So:
[tex]P_2 = 2\pi r[/tex]
Where
[tex]r = \frac{7}{2}[/tex]
[tex]P_2 = 2 * \frac{22}{7} * \frac{7}{2}[/tex]
[tex]P_2 = \frac{2 * 22 * 7}{7 * 2}[/tex]
[tex]P_2 = \frac{308}{14}[/tex]
[tex]P_2 = 22[/tex]
Perimeter of the garden is
[tex]Perimeter = P_1 + P_2[/tex]
[tex]Perimeter = 26 + 22[/tex]
[tex]Perimeter = 48m[/tex]
please help ASAP!!!!!!
Answers
Explanation:
63+60=123
180-123=57
When 63 and 60 are added together, you will be able to find x. Subtracting 180 from the sum of 63 and 60 will find x.
"What is the equation of the line parallel to the given line with an x-intercept of 4?"
y = __x + __
Answers
In the form y=mx+b, m is the slope, so the slope of this new line is y=4x+b.
The x intercept is 4, which is the coordinate (4,0). So plug that in to get b:
0=4(4)+b
0=16+b
B=-16
So in total, the new line is y=4x-16.
If the bowl weighs 520 grams when it holds 15 tablespoons of sugar and 680 grams when it holds 26 tablespoons of sugar, what is the rate of change of the weight of the bowl with regards to the tablespoons of sugar?
Answers
Answer:
1.5 grams per tablespoon
quickkk! -2x-4>-64//what is the value of x
Answers
Answer:
x<30
Step-by-step explanation:
u got this
Answer:
x ≤ 30
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
-2*x-4-(-64)>0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
-2x + 60 = -2 • (x - 30)
Equation at the end of step
1
:
STEP
2
:
2.1 Divide both sides by -2
Remember to flip the inequality sign:
Solve Basic Inequality :
2.2 Add 30 to both sides
x < 30
Inequality Plot :
2.3 Inequality plot for
-2.000 X + 60.000 < 0
One solution was found :
x < 30
i hope this helps have a good day!
w/4 + 12.5 - 7z what term has a coefficient
Pls help me.
Answers
This expression contains 3 terms.
7z is the term with a coefficient.
12.5 is the constant term in the expression.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, w/4 + 12.5 - 7z.
There are 3 terms in this expression.
The term that has a coefficient is 7z.
The constant term in the expression is 12.5.
learn more about equations here :
https://brainly.com/question/14686792
#SPJ2
Need help asap not really good with these types of questions
Answers
Step-by-step explanation:
AC = AD result : given (Side congruence)
CB = DB result: given (Side congruence)
AB =AB result : reflexive property (side congruence)
ACB=ADB (SSS)
Find the measure of the numbered angle.
m∠1 =
Answers
Answer:
∠1 = 50°Step-by-step explanation:
right triangle.
∠1 = 180 - 90 - 40
∠1 = 50°
In 1933, Wiley Post flew around the world in 7 days, 18 hours. Wiley's trip would best
be described as flying around the of the earth.
a. perimeter
c. volume
d. diameter
b. area
Answers
Answer: perimeter
Step-by-step explanation:
I NEED HELP ASAP PLEASE HURRY
Marc wants to buy a bestselling book and a DVD of the movie based on the book. He has $30 to spend. Find the estimated total cost of the two items by rounding their prices to the nearest dollar. Will Marc be able to purchase both items with the money he has?
Prices, including taxes: Book: $10.58 and DVD: $19.50
The estimated total to the nearest dollar is $29, so he can afford both items.
The estimated total to the nearest dollar is $31, so he can afford both items.
The estimated total to the nearest dollar is $29, so he cannot afford both items.
The estimated total to the nearest dollar is $31, so he cannot afford both items.
Answers
Answer:
The estimated total to the nearest dollar is $31, so he cannot afford both items.
Step-by-step explanation:
10.58 rounded is 11
19.50 rounded is 20
11+20=31
Answer:
I think it would be last one. Based on the idea that 10.58 would round up to 11.00, and the DVD would add up to 20.oo
that would equal 31.00, and he only has 30.00 to spend.
So I would say D.
Step-by-step explanation:
On Saturday, you bowl at Show Place Lanes, where renting shoes costs $3 and each game bowled is $4.50. On Sunday, you bowl at Pinz where the shoe rental is $6 and each game bowled is $3. If you spent the same amount each day, how many games, g, were bowled?
Answers
Answer:
x=2
2 games.
Step-by-step explanation:
3 + 4.50x = A
6 + 3x = A
3 + 4.5(2) = 12
6 + 3(2) = 12
If 28 parrots and 79 bunnies were in the same shelter what is the rate of parrots to bunnies?
and if u delete that i can say u guys were deleting actual questions- and have proof too ha.
seriously again im not mean irl
Answers
P:B
28:79
Answer:
79/28
Step-by-step explanation:
i have no clue-
if anyone knows pls help!!! will give the brainliest!!
Answers
Answer:
I think A would be the right answer.
Answer:
A)
Step-by-step explanation:
V: y = -4; H: x = -6
hope it helps!
I need an answer to What is: p - 10 = 5
Answers
Answer:
P would be substituted with 15, so the equation would be accurate
Step-by-step explanation:
plz help i will mark you as brainlist
Answers
Answer:
C. Six is to the left of the zero and negative six is to the right.
Step-by-step explanation:
Simple, think of a number line and zero is in the middle, to the left there is positive numbers, like six, and to the right there is negative six.
WILL GIVE BRAINLIEST!!
Which transformation was applied to triangle A?
A. Dilation
B. Reflection
C. Rotation
D. Translation
Answers
Answer:
Dilation
Step-by-step explanation:
it got larger and didnt move
I need help with this
Answers
Answer:
1. y=14
2. x=22
3. z=3
4. n=14
5. a=10
6. m=-5
7. b=26
8. c=15
9. x=80
10. g=20
11. x=-5
12. w=-4
13. r=45
14. k=12
15. f=50
16. j=2
17. r=21
18. t=47
On Miss Gless iPhone, she has 400 songs 24 of those songs are country songs. What percent of her songs are not country?
Your answer:
help o_o
Answers
Answer:
94%
Step-by-step explanation:
Look at the corresponding pairs of numbers on the top and bottom number lines. Write a multiplication sentence to show how 10 gallons and 300 miles are related. How are 5 gallons and 150 related? How are 1 gallon and 30 miles related?
Answers
1 gallon = 30 milles
×5
=5 gallon = 150 milles
×10
=10 gallon =300 milles
Answer:
1 gallon = 30 milles
×5
=5 gallon = 150 milles
×10
=10 gallon =300 milles
Step-by-step explanation:
1 gallon = 30 milles
×5
=5 gallon = 150 milles
×10
=10 gallon =300 milles
Which function is equivalent to f(x) = -4(x + 7) – 6?
Answers
Answer:
f(x) = - 4x - 34
Step-by-step explanation:
Given
f(x) = - 4(x + 7) - 6 ← distribute parenthesis
= - 4x - 28 - 6 ← collect like terms
= - 4x - 34
Equivalent ratios are ratios that contain different numbers but express the same relationship between the quantities they're comparing. Ratios are equivalent if there's a positive number that can be multiplied by both quantities in one ratio to get the corresponding quantities in the second ratio. For example, imagine you're making hot sauce that calls for chile peppers and tomatoes in a ratio of 1:2. If you put in 1 chili pepper, you'll need to put in 2 tomatoes. If you put in 2 chili peppers, you'll need to put in 4 tomatoes to keep the ratio the same. You can multiply both numbers in the first ratio by 2 to get the corresponding numbers in the second ratio: 1 × 2 = 2 2 × 2 = 4 The ratios show the same relationship between chili peppers and tomatoes. Which of these ratios is equivalent to 2:3? A 2:6 B 4:6 C 3:2 D 3:4
Answers
Answer:
B 4:6
Step-by-step explanation:
Which of these ratios is equivalent to 2:3?
2 : 3 = 2/3
Check all that applies
A 2:6
= 2/6
= 1/3
= 1 : 3
B 4:6
= 4/6
= 2/3
= 2 : 3
C 3:2
= 3/2
= 3 : 2
D 3:4
= 3/4
= 3 : 4
The correct answer is B 4 : 6
18 POINTS
Classify the triangle described below. A triangle with measures of x∘, 4x∘, and 4x∘ is a(n)
A.Right B. Obtuse C. Acute triangle.
Answers
On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many
2-point questions as 5-point questions on the test. How many 2-point questions are on the test?
•8
•4
•12
•16
Answers
Answer:
B. 8
Step-by-step explanation:
Calculate how many 2 point answers and 5 point answers there are.
2 x 8 = 16
Since there are half as many 5 point answers as there are 2 point answers,
5 x 4 = 20
calculate how many remaining questions there are. The numbers would be 8 since you had 8 2 point questions and 4 since half of 8 is four.
8 + 4 = 12
Subtract that number by the total questions, which is 28.
28 - 12 = 16
Next figure out how many 4 point questions you had (28-12=16)
16 x 4 = 64
To check your work add up the totals and see if they match up to 100.
16 + 20 + 64 = 100
Step-by-step explanation:
Which of the following statements correctly explains whether or not the two figures are congruent?
Answers
Answer: The two figures are congruent since there is a rotation that carries one figure onto the other.
Answer: The two figures are congruent since there is a rotation that carries one figure onto the other.
Step-by-step explanation: I just took the test
Luna Park in Coney Island charges $12 for entry and $2 per ride. Ariana visits the park and goes on 4 rides. How much money did she spend in total?
Answers
2(4) + 12 = 8 + 12 = 20
She spends $20
A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people, 56 had a mild allergic reaction. What percent of the people had a mild reaction?
Answers
Answer: 0.007%
you divide 56% by 8,000 and you get 0.00007
then you multiply it by 100 and you get 0.007
so its 0.007%
HELP MATH STIKES AGAIN!
Hotel A hotel charges $140 per night for the first two people and $10 for each additional person. Hotel B charges $80 per night for the first two people and $20 for each additional person. At how many additional people per night is the rent for the two rooms the same.
I will mark brainlyist for correct answer
Answers
Answer:
9
Step-by-step explanation:
If f(x)=2(x-3)x4, what is f(-2)? PLEASE HELP ILL GIVE BRAINLIEST
Answers
Answer:
-160
Step-by-step explanation:
All you have to do is substitute -2 for all values of x!
Is that last x raised to the power of 4 (looks like [tex]x^4[/tex])?
If so, the equation is:
[tex]f(-2)=2(-2-3)(-2)^4[/tex]
2(-5)(16)
-10(16)
-160
42.5 subtract 7.32? Please help me with his question?
Answers
Step-by-step explanation:
42.4
-
7.32
----
move the decimal
42.40
07.32
-------
35.08
PLSSSS HELPPPPP ASAP
Answers
Perimeter is when you add and not multiple:)