Answer:
[tex]\huge\boxed{xy = 2}[/tex]
Step-by-step explanation:
=> [tex]\sf (x+y)^2 = x^2 + y^2 + 2xy[/tex]
Given that [tex]\sf x + y = 3 , x^2 + y^2 = 5[/tex]
=> [tex]\sf (3)^2 = 5 + 2xy[/tex]
=> [tex]9 = 5 + 2xy[/tex]
=> [tex]9-5 = 2xy[/tex]
=> [tex]4 = 2xy[/tex]
Dividing both sides by 2
=> 2 = xy
OR
=> xy = 2
Which binomials are factors of x^2 + 4x – 12?
Select the two correct answers.
x - 3
x - 6
x - 4
x - 2
x + 3
X + 6
x + 2
x + 4
Answer:
x + 6 and x - 2
Step-by-step explanation:
Given
x² + 4x - 12
Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 4)
The factors are + 6 and - 2, since
6 × - 2 = - 12 and 6 - 2 = + 4 , thus
x² + 4x - 12 = (x + 6)(x - 2) ← in factored form
A MANUFACTURER DETERMINES THAT THE COST OF MAKING A COMPUTER COMPONENT IS $4.141414. I NEED IT IN A FRACTION AS A MIXED NUMBER PLEASE ASAP!!!!!
Answer:
[tex]4 \frac{14}{99}[/tex]
Step-by-step explanation:
First off - chill with the caps dude.
Let's convert this to a mixed number.
We know that any one digit number divided by 9 will get us a repeating decimal of the number we divided by 9. For example, [tex]5 \div 9[/tex] will be [tex]0.\overline{55}[/tex].
The same goes for two digit numbers when they are over 99. [tex]32\div 99 = 0.\overline{32}[/tex]
So this means that to make [tex]0.\overline{14}[/tex] a fraction, we put 14 over 99.
[tex]\frac{14}{99}[/tex]
4 as a fraction is just [tex]\frac{4}{1}[/tex] but since they want it in a mixed number, we can just put a 4 in the beginning of the fraction.
So we get [tex]4 \frac{14}{99}[/tex].
Hope this helped!
Someone help, it’s 3:00 am and I gotta get this done and I’m so tired just someone help me, please.
Answer:
1) 31.1
2) 2.5
3) 1.6
4) 0.9
5) 5120
6) 1.7
7) 972
8) 0.02
Step-by-step explanation:
Continue each pattern with the next two numbers.
1.7,14,8,16,10,20,14,?
When you switch your 8.5”x11” page from a portrait with 1” margins to landscape with 2” margins you lose how many square inches of writing space
Answer:
16.5 Squared Inches
Step-by-step explanation:
A 8.5''x11'' paper would be 7.5 in by 10 in with 1 inch margins. 7.5 x 10=75 in^2.
A landscape paper is 11''x8.5'' which would be 9 in by 6.5 in with 2 inch margins. 9 x 6.5=58.5 in^2.
75 inches squared-58.5 inches squared is 16.5 inches squared.
Therefore, you would lose 16.5 squared inches of writing space.
what are the three integers all less than 25 whose range is 10 and mean is 13
Let x be the first integer , y be the second integer , and z be the third integer
x < y < z < 25
We know that
Median=13
Median=(x+y+z)/3
13=(x+y+z)/3
x+y+z=39------> equation 1
Range=10
The range is the difference between the largest number within the set and the smallest number in the set
So range=z-x
z-x=10------> z=x+10-----> equation 2
to find the solution we will assume different values of x (See the attached table)
terms
x < y < z < 25
z=x+10
y=39-z-x
The solution can be
7,15,17
8,13,18
9,11,19
hope it helps!
Which is not part of the line segment diagram below? Pleaseee Helpp
Answer:
B....…....…..…..…..……..…..…..…the answer is B
Step-by-step explanation:
william is using a 1.75-liter container to fill a 14-liter container of water. about how many times will he need to fill the smaller container?
please question?!!!
Answer:
x=8
Step-by-step explanation:
It is given that, William is using a 1.75-liter container to fill a 14-liter container of water. We need to find how many times will he need to fill the smaller container?
Let x times he fill the smaller container. It can be calculated by dividing the larger value by the smaller value.
[tex]x=\dfrac{14}{1.75}\\\\x=8[/tex]
So, 8 times he needs to fill the smaller container.
there are 5280 feet in a mile. what part of a mile, in decimal form, will you drive until you reach the exit? pls someone help
Answer:
12
Step-by-step explanation:
you have to add everything
14a²b
7a²b
=
Simplify
Step-by-step explanation:
if14a^2b/7a^2b answer is 2
and if the sign is addition then the answer is21a^2b if subtraction answer is7a^2b
Please help!
Translate the following into a algebraic equation:
Eight more then the difference of a number and sixteen.
(Variable is X)
2. Find the fraction which is exactly halfway between 1/7 and 4/7
Answer:
That would be the fraction exactly between 2/7 and 3/7
which would be 2.5 / 7 or 5 / 14
Step-by-step explanation:
A small town's raffle has 85 entries and 3 gift baskets that three different people could win. What is the probability of winning a gift basket if you have 1 of the entries? [1 point]
Answer: 3 / 85
Step-by-step explanation:
Given the following :
Number of gift basket = 3
Nunber of entries = 85
Probability of winning a gift basket if you have one of the entries :
With one entry, one has a chance of winning one of 3 gift baskets
Hence, the required outcome of one entry = 3
Total possible outcomes = number of entries = 85
P(winning a gift basket with one entry) :
Required outcome / Total possible outcomes
= 3 / 85
Also, it could be calculated thus ;
Probability of one entry from a total of 85;
= 1/ 85.
And one entry has a Chance of winning one of 3 different gift baskets
Hence (1/85 × 3) = 3/85
Answer:
Answer is 3/85.
Step-by-step explanation:
There is no need for one, periodt.
a) through (7, 1) and perpendicular to y=-x+ 3
Step-by-step explanation:
Two lines that are perpendicular to each other has -1 as the product of thir gradient.
Since the gradient of the line y = 3 - x is -1, the gradient of the other line must be 1.
So y = x + c.
When x = 7, y = 1. 1 = 7 + c, c = -6.
Hence the equation of the line is y = x - 6.
Find the product. 2 · 14 = a0
Answer:
28
Step-by-step explanation:
Because the . Stands for multiplication so 14×2 is 28
I turned the dial on my stove 45 degrees from the start position If i continue to turn the dial how many degrees further will i need to rotate it to return to the start position.
Answer:
315 degrees
Step-by-step explanation:
360 degrees make a full circle, and since you've already turned 45 degrees, you will need 315 degrees more.
Answer:
Hey!
To turn it all the way to its starting position is the same as turning it 360 DEGREES...so your answer will be 315 DEGREES MORE!
Step-by-step explanation:
PROOF : 315 + 45 = 360 OR 360 - 45 = 315
HOPE THIS HELPS!
10 rational numbers between -2 and 1/8
Answer:
there should not be negative number in rational number
When you add a positive number and a negative number, how can you tell whether the sum will be positive or negative? A. The sum will always be negative. B. The sum will always be positive. C. The sum will have a sign of the addend with the lesser absolute value. D. The sum will have the sign of the addend with the greater absolute value.
Answer:
Its C
Step-by-step explanation:
The sign of the resultant value will depend upon added values and the sum will have the sign of the addend with the lesser absolute value so the correct option will be (C).
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.
In other words, the summation is the addition or subtraction of any two or more terms. As a result, we have a new result that may be large or little, depending on the quantity.
In given question
Let's suppose we add +5 + (-7) = -2 so here the sign is negative because the 5 is greater than the -7 so it is clear by this example that the sign of the addend with the lesser absolute value.
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Number of pages of a five page article left to read if you read P pages in expression
Answer:
There are 5 pages.
5
You read p pages.
5 - p,
or
(5 - p) ≤ 0
The answer to this expression will equal the amount you read.
The number of pages left to read will be = 5 - P.
We have a five page article.
We have to determine number of pages of this article left to read if you read P pages in the form of expression.
Express the amount of questions left to solve if you have a total of 'x' questions to solve and you have solved 'y' number of question (y < x) in the form of expression.Assume the number of questions left be n. Then -
n = x - y
According to the question, we have -
The number of pages in the article = 5
The number of pages completed = P
Hence, the number of pages left to read will be = 5 - P.
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After Luca took his dogs for a walk, he gave them 6 dog treats. When Luca's dad got home from work, he gave the dogs t more treats. All together that day, Luca's dog got 10 dog treats. Write an equation to describe this solution. How many dog treats did Luca's dad give the dogs?
Answer:
Luca's Dad gave Luca's Dog 4 treats
Step-by-step explanation:
Equation:
6 + x = 10
Step 1:
x = 10 - 6
Answer:
x = 4
Hope This Helps :)
A temperature recorded in Antarctica was −123°F. The temperature recorded in the Sahara Desert was 135°F. How many degrees warmer is 135°F than −123°F
Answer:
The Sahara Desert is 258 °F warmer that Antarctica.
Step-by-step explanation:
Temperature at Antarctica = -123 °F
Temperature at the Sahara desert = 135 °F
The difference in temperature = 135 - (-123) = 135 + 123 = 258 °F
This means that the Sahara Desert is 258 °F warmer that Antarctica.
Answer:
258
Step-by-step explanation:
a + b = c
In which scenario will c always have a positive value?
(20 Points)
a is positive, and b is negative.
a and b are both positive.
a is negative, and b is positive.
a and b are both negative.
Answer:
When a and b are both positive c will always be positive
The letter B represents a nonzero constant. Solve bx= -7 for x
Need help ASAP!!!!
Answer:
X=-7/B but I'm not sure if more steps are required for full simplification.
Solve.
(-k) + k =
A. 0
B. k
C. -2k
D. 2k
Answer:
the correct answer is 0
Step-by-step explanation:
mark as me brainlist
Answer:
Answer is A. 0
Step-by-step explanation:
I hope you
In this expression Marianna claims that 2X And negative X are not like terms because -x doesn't have a coefficient.Is she correct?Explain your reasoning
Answer:
She is incorrect
Step-by-step explanation:
Given:
2x and -x
Required
Like term or not?
Like terms are determined by the term itself and not by their coefficients;
Take for instance;
[tex]x^2[/tex] and [tex]2x[/tex] are not like terms because a term has square while the other doesn't
Another instance;
[tex]-3x[/tex] and [tex]2x[/tex] are like terms because they both have the presence of just 1 x
In Marianna's case;
2x and -x are like terms;
Reason being that: -x can be rewritten as -1x; giving it a coefficient of -1
how to solve 4+y=9.5
Answer:
[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ x \;=\; {5.5} $ } }\\[/tex]
Step-by-step explanation:
[tex]4+y=9.5[/tex]
Let's simplify this equation.
To solve this equation, we must first subtract 4 from both sides of the equation.
[tex]y+4-4=9.5-4[/tex]
Let's see what we got.
[tex]y=5.5[/tex]
Now you got your answer!
Hope this helps!
The value of y is 5.5 .
Given,
4 + y = 9.5
Equation : 4 + y = 9.5
Let's simplify this equation
To solve this equation, we must first subtract 4 from both sides of the equation.
Resultant equation :
4 - 4 + y = 9.5 - 4
0 +y = 5.5
Thus the value of variable y = 5.5 .
Know more about algebra,
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Please help this is just an assignment a few questions.
Answer:
A = (1/2)Cr
Step-by-step explanation:
You're supposed to observe that the circle area decomposes into what is approximately* a parallelogram with height equal to the circle radius and base equal to half the circumference. The area is then ...
A = bh
A = (1/2)Cr
If you fill in the formula for C, you find this matches the formula for the area of a circle:
A = (1/2)(2πr)(r) = πr²
_____
* In the limit, as the number of sectors approaches infinity, this is exactly a parallelogram.
acute angle DOG with a measure of 45
Step-by-step explanation:
angle of 45° is drawn.
I hope you got it.
Evaluate k ^5 · m If k=2 and m=5
Answer:
160
Step-by-step explanation:
We are given the equation:
k^5 * m
and asked to evaluate for k=2 and m=5. Therefore, we must substitute 2 for k and 5 for m.
(2)^5 * 5
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
Evaluate the exponent first.
—> (2)^5 = 2*2*2*2*2= 32
32 *5
Multiply 32 and 5.
160
The expression: k^5 * m when evaluate for k=2 and m=5 is equal to 160.
Which absolute value function, when graphed, represents the parent function, f(x) = |x|, reflected over the x-axis?
[tex]y=-|x|[/tex]
The [tex]a[/tex] value of an absolute value parent function deals with vertical stretches or compressions and it's relation with the x-axis.
Changing the [tex]a[/tex] value to its negative counterpart will reflect the graph over the x-axis (as shown in the picture).
Hope this helps.
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