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
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
Type the correct answer in the box. Use numerals Instead of words. Consider the function shown on the graph. у 8 8 02 4 2 2 X -10-8 -6 0 2 N- 6 6 8 10 -2 -4 -6 -8 Complete the statements to make them true,
domain x >
range y >
Answer:
Domain → [-5, ∞)
Range → [-2, ∞)
Step-by-step explanation:
Domain:
Domain of a function on from its graph is represented by the set of x-values (Input values).
Range:
Range of a function is a set of y-values (output values).
From the graph attached,
Graph starts from x = -5 and tends towards the infinity, so the domain will be,
Domain → [-5, ∞)
Similarly, y-values vary from y = -2 to y = ∞
Therefore, Range → [-2, ∞)
Given the graph of the function:
Domain is: [-5, ∞)
Range is: [-2, ∞)
Domain and Range of a FunctionThe domain of a function are all the values of x that are plotted on the x-axis, while the corresponding y-values are the range of the function.
Thus:
From the given graph representing a function:
Domain of the function is between -5 to infinity.
Range of the function is between -2 to infinity.
Therefore, given the graph of the function:
Domain is: [-5, ∞)
Range is: [-2, ∞)
Learn more abut domain and range of function on:
https://brainly.com/question/25915612
Help me little brother with his math please
Answer: less,less greater
Step-by-step explanation:
Answer: #1 : less than 930
Answer: #2 : less than 930
Answer: #3 : greater than 930
Hope this helps older sis!
Question 3 of 10
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x²+x-1=0
Answer:
x=1/2 or x=−1
Step-by-step explanation:
The solution to the quadratic equation is x = -1 or 1/2
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
2x² + x - 1 = 0 be equation (1)
And , roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
On simplifying , we get
x = [ -1 ± √ ( 1 )² - ( 4 ) ( 2 ) ( -1 ) ] / 4
x = [ -1 ± √ ( 1 + 8 ) ] / 4
x = [ -1 ± 3 ] / 4
So , the two values of x are
x = ( -1 - 3 ) / 4
x = -1
And , x = ( -1 + 3 ) / 4
x = 1/2
Therefore , the values of x are -1 or 1/2 respectively
Hence , the roots of the quadratic equation are -1 or 1/2 respectively
To learn more about quadratic equations click :
https://brainly.com/question/25652857
#SPJ7
What could be the value of x in the number sentence? 6 + x < 10
Answer:
the answer is 3 or less dhevvshsbdvdd
An electrician is hired to install a ceiling fan. She estimates that the installation will take no more than 45 minutes if the house is up to building code. If the house is not up to building code, she estimates that the installation will take longer than 120 minutes. Which graph represents the number of minutes it could take her to install the fan?
Answer:
The third image
Step-by-step explanation:
Your mom
Answer:
option C
Step-by-step explanation:
I got the right answer c;
So can you help me please ..u could choose which one u wanna do I will give Brainliest
Answer:
First Picture: 284 square inches
Step-by-step explanation:
We need to solve surface area, and we can do this by adding all the area.(See the image attached) Split up the shape and calculate the area of each.Then, add the numbers- it should be 284 square inches.Answer:
yeah he got it
Step-by-step explanation:
Find the value of x
Answer: x= 108
Step-by-step explanation: The triangle is an isosceles triangle, so the two sides are parallel which means the other angle equals to 72 as well. Now we take the triangle rule and do 180-72-72= 36 (the top angle= 36). The triangles are all equal so that means the other angle (in the upside down one) also equals 72 so we take 36+72= 108. Since it is also a parallelogram, the angles are equal.
what is a polynomial expression?
Answer: a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x2 − 4x + 7.
Step-by-step explanation:
hope that help
A minicar race is being held in Shipton. There are 4 students from Westview School who have entered it. There are 7 students from Eastmont School who have entered. How many students from both schools have entered the race? "_______ students from both schools have entered the race."
Answer:
11 students
Step-by-step explanation:
In order to solve this problem, you would simply need to add the provided number of students from each school together. This would give you the total number of students from all of the aforementioned schools that have decided to enter the race.
4 + 7 = 11 students
Therefore, we can see that a total of 11 students from both schools have entered the race.
lemma get some help plz
Answer:
-2.6f -16
Step-by-step explanation:
add like terms -
-2.6 + 0.3 = -2.6f
and
-12-4 = -16
What are the coefficients and constants of 7+5x need fast!!!!
Answer:
35
Step-by-step explanation:
there u go have a great day!
A recipe uses 1/4 teaspoon of salt and 2 1/2 teaspoons of sugar. What is the ratio of salt to sugar in this recipe?
Answer:
1:10
Step-by-step explanation:
the ratio we can it is
[tex]\frac{amount\:salt}{amount\:sugar}\\\\\frac{\frac{1}{4}}{2\frac{1}{2}}\\\\\frac{\frac{1}{4}}{\frac{5}{2}}\\\\\frac{1\times2}{4\times5}\\\\\frac{1}{2\times5}\\\\\frac{1}{10}[/tex]
so the ratio is 1:10
Collin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win more than 200 points. He wants to know how many gold coins he needs to find.
Answer:
200/25×1
=8 gold coins
Step-by-step explanation:
The required number of gold coins he needs is given 8 coins.
Given that,
Collin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win more than 200 points.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
1 coin = 25 points
For 200 points number of coins is given as = 200 / 25 = 8 coins
Thus, the required number of gold coins he needs is given 8 coins.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Help me ASAP pls with this
Answer:-15,20
Step-by-step explanation:
Each of the numbers 0, 2, 4, 6, 8, 10, 12, and 14 is written on a separate sheet of paper and placed into a box. One piece of paper is selected at random. Find the probability that the piece of paper selected contains the number 8 or a number less than 12.
Answer:
For the second, all numbers less than 12, that would be 87.5%
Step-by-step explanation:
There are eight numbers. 100 divided by 8 is 12.5. 12.5 multiplied by 7 is 87.5.
A new pair of boots is priced at $123.75, plus 6% sales tax. What is the total cost of the boots?
Answer:
131.18
Step-by-step explanation:
Solve each system to find the answer
Given:
The system of equations is
[tex]5g+4k=10[/tex]
[tex]-3g-5k=7[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]5g+4k=10[/tex] ...(i)
[tex]-3g-5k=7[/tex] ..(ii)
Multiply (i) by 5 and (ii) by 4.
[tex]25g+20k=50[/tex] ...(iii)
[tex]-12g-20k=28[/tex] ..(iv)
Adding (iii) and (iv), we get
[tex]25g-12g=50+28[/tex]
[tex]13g=78[/tex]
Divide both sides by 13.
[tex]g=\dfrac{78}{13}[/tex]
[tex]g=6[/tex]
Put g=6 in (i).
[tex]5(6)+4k=10[/tex]
[tex]30+4k=10[/tex]
[tex]4k=10-30[/tex]
[tex]4k=-20[/tex]
Divide both sides by 4.
[tex]k=-5[/tex]
So, the solution of the system of equation is (6,-5).
Therefore, the correct option is A.
Answer!
A car travels from A to B at a speed of 30 mph then returns, using the same road, from B to A at a speed of 65 mph. What is the average speed for the round trip?
Answer:
41 mphStep-by-step explanation:
s₁ = s₂ = x {the distance from A to B}
s = s₁ + s₂ = x + x = 2x {the distance of the round trip}
t = t₁ + t₂ {the time of the round trip}
v₁ = 30 mph
v₂ = 65 mph
t₁ = s₁/v₁ = x/30 h {the time of trip from A to B}
t₂ = s₂/v₂ = x/65 h {the time of trip from B to A}
The average speed:
[tex]v=\dfrac st=\dfrac{2x}{\frac x{30}+\frac x {65}}=\dfrac{2x}{x(\frac 1{30}+\frac1 {65})}=\dfrac{2}{\frac{13}{390}+\frac6{390}}=2\cdot\frac{390}{19}=41.05263...\approx41[/tex]
Express 28cm as
a percentage of 2m
Answer:
12.5%
Step-by-step explanation:
it easy
12.5 percent
its simple
What should be done to both sides of the equation in order to solve -5m = -40?
A. Divide by -5.
B. Divide by -40.
C. Multiply by -5.
D. Multiply by -40.
Answer:
A
Step-by-step explanation:
Isolate M
Divide -5
Answer:
a
Step-by-step explanation:
There are two exterior angles at each vertex of a triangle, and these angle measures always add to 180°.
true or false
Determine the measurement of angle Y if the measure of angle X is 55 degrees.
Question 4 options:
55 degrees
110 degrees
125 degrees
250 degrees
Answer:
110
Step-by-step explanation:
the measurment is more than 90 but not by much
The Smith family took out a $160,000 loan. After 30 years they had paid a total of 364000. What is the interest rate on the loan? Can someone pls answer this in an hour using the equation Interest= principal x rate x time.
Answer:
The interest rate is 0.0425%
Step-by-step explanation:
Mathematically;
I = PRT/100
From the question, I in this context is the difference between how much they have paid and the amount borrowed
Mathematically, this is ; 364,000-160,000 = 204,000
This is the interest
R is the rate = ?
T = 30 years
P is the amount borrowed = 160,000
thus, we have
204,000 = (160,000 * R * 30)/100
2040 = 4800000R
R = 2040/4800000
R = 0.000425 which is 0.0425%
how do i graph the following X=4
Answer:
Impossible you can’t
Step-by-step explanation:
ill mark brainliest god bless
Answer:
C. m = -8
I hope this helps!
Answer:
Slope is -8
Step-by-step explanation:
2 - y = 8x
- y = 8x - 2
-y/-1 = 8x/-1 - 2/-1
y = -8x + 2
Helppppppppppp with 3 & 4!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3 is b
4 is also b
Step-by-step explanation:
Alarger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number. 4x+2 y 2x+8 What is the value of the smaller number in the mathematical problem?
Answer:
the value of the smallest number is 3
Step-by-step explanation:
The computation of the value of the smaller number is shown below:
Given that
y = 4x + 2
y = 2x + 8
Now equate these two equations
4x + 2 = 2x + 8
4x - 2x = 8 - 2
2x = 6
x = 3
Hence, the value of the smallest number is 3
The same is to be considered
Answer:
The value number is 3
Step-by-step explanation:
i need the helpp someone respond asap
Answer:
Uh- 1? I'm not sure, but I think?
Answer:
It’s 125
Step-by-step explanation:
What's the answer?
Answer only if you know.
Please answer as soon as possible thank you:)
Answer:
[tex]6mx - 3nx + my[/tex]
Step-by-step explanation:
2my - my = 1my (1 can also be omitted).
Answer:
6mx-3nx+my
Step-by-step explanation:
Collect like terms:
6mx-3nx+2my-my
subtract: 2my-1my
= 1my
since you cant add any more like terms your answer would be
6mx-3nx+my