Answer:
24
Step-by-step explanation:
We have a system of equations, so we can start with the second equation:
[tex]x-y=2[/tex]
And move y to the other side to isolate x:
[tex]x=2+y[/tex]
Now we can replace x into the first equation:
[tex](2+y)^{2} -y^{2} =48\\ (2+y)(2+y)-y^{2} =48\\ 4+4y+y^{2} -y^{2} =48[/tex]
Notice that we can cancel out the y squared terms:
[tex]4+4y=48\\ 4y=44\\ y=11[/tex]
Now we just need to find x by replacing y into the second equation:
[tex]x-11=2\\ x=13[/tex]
And finally, add them:
[tex]x+y=11+13\\ x+y=24[/tex]
Hope this helps.
Answer:
x= 13
y=11
x^2 - y^2 = 48 and x - y = 2
x = 2 + y
(2 + y)^2 - y^2 = 48
(2 + y) (2 + y) - y^2 = 4
(4 + 2y +2y + y^2) -y^2 = 48
4 + 4y + y^2 - y^2 = 48
4 + 4y = 48
4y = 48 -4
4y = 44
y= 44/4
y= 11
Plug y back into the original equation:
x^2 - y^2 = 48
x^2 - 11^2 = 48
x^2 - 121 = 48
x^2 = 121 + 48
x^2 = 169
The square root of 169 is 13
So x= 13
x + y
13 + 11 = 24
show that
[tex] \frac{2}{3 + \sqrt{7} } = 3 - \sqrt{7} [/tex]
I don't know what to do
please help with the steps.
for brainliest
Answer:
multiply by (3-√7)/(3 -√7) and simplify
Step-by-step explanation:
When there are radicals or complex numbers in the denominator, you can rewrite the expression so it has a real, rational denominator. You do this by multiplying numerator and denominator by the conjugate of the denominator. That value is the denominator with its sign changed.
This takes advantage of the factoring of the difference of squares.
(a -b)(a +b) = a² -b²
__
[tex]\dfrac{2}{3+\sqrt{7}}=\dfrac{2}{3+\sqrt{7}}\times\dfrac{3-\sqrt{7}}{3-\sqrt{7}}=\dfrac{2(3-\sqrt{7})}{3^2-(\sqrt{7})^2}=\dfrac{2}{9-7}\times(3-\sqrt{7})\\\\=\boxed{3-\sqrt{7}}[/tex]
Consider the function f (x) = -2/3x +5.
What is f (5/2)?
Enter your answer, as a simplified fraction, in the box.
f (5/2)
Answer: 2.5
Step-by-step explanation:
The blueprint for Moreno's living room has a scale of 2 inches equals 3 feet. The family wants to use a scale of 1 inch equals 2 feet. What is the width of the living room on the new blueprint? (The width is 12in)
Answer:
18 feet
Step-by-step explanation:
If 2 inches equals 3 feet, then 1 inch equals 1.5 feet. And if the width is 12 inches, you can multiply 1.5 by 12 to get the actual length of the living room. 18 feet!!! I hope this helps!!! :D
Pls Help! Which graph A,B or C?
Answer:
Answer=C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Parallel lines hAve no solutions
Option A omittedTwo lines intersection point gives one solution only
Option B omittedOne single line denotes to infinite solutions
Option C is correct
compare the quantities in column A and Columb B,
column A.
4x-y=11
3x+y=3
column B
x-5y=-8
-x+4y=5
Answer:
A
Step-by-step explanation:
can't tell you
The number of students in a chess club decreased from 19 to 16. What is the percent decrease? Round your answer to the nearest percent. [The percent decrease is ___%.]
Answer:
it it went down 16%
Step-by-step explanation:
if you calculate it, 16 out of 19 points is 84%. this means that it went down 16%.
Explanation:
The decrease is 3 since 19-16 = 3. Divide this decrease value by the original count: 3/19 = 0.1579 = 15.79% = 16% approximately
what percent of 81 is 51
Answer:
62.96%
Step-by-step explanation:
do this
51/81 ×100%
Answer:62.953%
Step-by-step explanation:
81 * (%) = 51
% = 51 / 81
% = 62.953
how old are you android phone is not
Answer:
I am 14 years old
Step-by-step explanation:
Ajay is going to invest his money into 2 different stocks. Both stocks are independent, and each stock has a 50%
chance of being successful and a 50% chance of failing.
Each stock will make Ajay $500 if it succeeds or lose him $500 if it fails.
If X is a random variable that represents Ajay's profit from investing in these 2 stocks, drag the bars to graph
the probability distribution for all possible values of X.
The bar graph represents the value of Profit (X) for the different probabilities of stocks x and y.
It can be drawn as follows.
Let x and y denote the two stocks .
The probability of success of x is p=50%= 50/100=1/2 = 0.5
The probability of failure of x is q= 50%= 50/100= 1/2= 0.5
Similarly
The probability of success of y is p=50%= 50/100=1/2 = 0.5
The probability of failure of y is q= 50%= 50/100= 1/2= 0.5
Then their joint distribution can be calculated from the following table.
x 0.5 0.5 h(y)
y
0.5 0.25 0.25 0.5
0.5 0.25 0.25 0.5
g(x) 0.5 0.5 1.0
It is evident from the data that x and y have the same probability at each point when both x and y are at
successfailuresuccess and failurefailure and successBut the random variable X will have different values for
both success = $500+ $500= $ 1000 both failure = -$500+ -$500= $- 1000success and failure = $500+ $-500= $0failure and success = $-500+ $500= $ 0For the bar graph click
https://brainly.com/question/25196929
https://brainly.com/question/25718527
The bar graph will appear as follows.
Answer:
Step-by-step explanation:
If -11 + N = -11, then N is the
a. additive identity
b. additive inverse
c. multiplicative inverse
d. multiplicative identity
Answer:
Step-by-step explanation:
eeuduehuheuhd hbu h
A box contains 8 red balls and 8 black balls. A
woman takes balls out at random without looking at
them. Once a ball is taken out it is not replaced back in
the box. How many balls must she select to be sure of
having at least three balls of the same color?
Answer:
At least 5 times
Step-by-step explanation:
Number of balls to be selected for having assurance of at least three balls of the same colour is equals to 5 balls.
What is without replacement ?" Without replacement means if an item is drawn from the set of items it is not kept back which represents sample space is decrease by as per the number of selection is done in first draw."
According to the question,
Number of red balls in a box = 8
Number of black balls in a box =8
As per the condition of without replacement we get,
In this case worst selection case could be
Alternate balls are of different colour
Black →Red → Black → Red → fifth ball is either Red or Black
Hence, 5balls must be selected for assuring at least three balls of the same colour .
Learn more about without replacement here
https://brainly.com/question/22221548
#SPJ2
Add the polynomials: x2 + 2x + 1 and y2 + 2x + 3.
Therefore, the above answer is correct.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].
What is a polynomial equation?A polynomial equation exists an equation where a polynomial exists set equivalent to zero. i.e., it exists an equation constructed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It includes different exponents. The highest one demonstrates the degree of the equation.
Given: [tex]x^2 + 2x + 1[/tex] and [tex]y^2 + 2x + 3.[/tex]
Adding both of these two equations, then we get
[tex]x^2+2x+1+y^2+2x+3[/tex]
Group like terms
[tex]=x^2+y^2+2x+2x+3+1[/tex]
Add similar elements [tex]x^2+y^2+4x+4[/tex]
Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].
Therefore, the correct answer is [tex]x^2+y^2+4x+4[/tex].
To learn more about polynomial equations refer to:
https://brainly.com/question/26240147
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Use a Quadratic formula to solve for X
3x^2+9x=-4
Round to the nearest hundreth.
Need Help....
I can't understand the question so please help me.....
[tex]for \: x \: such \: that \: 0 < x < \frac{\pi}{2}[/tex]
It is the expression
[tex] \frac{ \sqrt{1 - {cos}^{2}x } }{sin \: x} \:- \frac{ \sqrt{1 - {sin}^{2}x } }{cos \: x} \\ \\ is \: equivalent \: to:[/tex]
[tex]f.0 \\ g.1 \\ h.2 \\j. - tan \: x \\ k. \: sin \: 2x[/tex]
Don't spam and Don't copy
Don't answer if you don't know
Thank You!
If 0 < x < π/2, then both sin(x) and cos(x) are positive.
From the Pythagorean identity, we then have
cos²(x) + sin²(x) = 1
⇒ cos(x) = + √(1 - sin²(x)) and sin(x) = + √(1 - cos²(x))
Then
√(1 - cos²(x))/sin(x) = sin(x)/sin(x) = 1
and
√(1 - sin²(x))/cos(x) = cos(x)/cos(x) = 1
so that the overall expression reduces to
1 - 1 = 0
(3 z + 1) + (5 + 7 z )
Answer:
10z + 5
Step-by-step explanation:
(3 z + 1) + (5 + 7 z )
3 z + 1 + 5 + 7 z [Remove parentheses]
10z + 5 [Combine like terms]
.
[tex]10z + 6[/tex]
[tex]3z + 7z + 5 + 1 = 10z + 6[/tex]
Is {1, 3, 5} a subset of the set of odd integers?
Answer: Yes
Step-by-step explanation:
The set of odd integers is all odd numbers with no decimal places after them. This includes 1, 3, 5, 7, 9, 11, 13 (etc.) The numbers 1, 3, and 5 all fall within this set, making the set {1, 3, 5} a subset of the set of all odd integers.
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
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Step-by-step explanation:
12
66 77 84 | 3
'
43
mZ1 =
m22 =
m23 =
-
Answer:
30; 41 69 :):):):):):):):)')'))'):):):):):):)):):):
Overnight the low temperature dropped to-6 degrees Fahrenheit. If the temperature during the was 11 degrees Fahrenheit, what was the difference between the high and low temperatures?
Answer:
17 degrees F
Step-by-step explanation:
11 - (-6) = 17
Subtracting a negative is the same as adding.
please help me asap
ty :)
Answer:
y= 3x+16
Step-by-step explanation:
y = 3x + 8 ║ y= mx +b
Since lines are parallel, m=3
y= 3x+b
(-3, 7) intersect
7= 3*(-3) + b
b= 7+9
b= 16
y= 3x+16
Step-by-step explanation:
while the other answer is correct, here also the way as the hint suggests :
y - 7 = 3(x - -3) = 3(x + 3) = 3x + 9
y = 3x + 9 + 7 = 3x + 16
and there you have it : the same result just by using the point-slope form first.
This scatter plot shows the number of baskets made and the time in minutes that has passed.
Based on the information in the scatter plot, what is the best prediction for the number of baskets made in 16 minutes?
4 baskets
7 baskets
14 baskets
20 baskets
Scatter plots are used to relate variables using scattered dots.
The best prediction for the number of baskets made in 16 minutes is (c) 14 baskets
From the graph, we can see that the number of baskets made in 14 minutes is 12.
Also, from the graph; as the minutes increases, the number of baskets either remain the same or increases.
This means that, for 16 minutes, the number of baskets would either be 12 (same as 14 minutes) or greater.
The closest to 12 baskets in the option is 14.
Hence, the best prediction for the number of baskets made in 16 minutes is (c) 14 baskets
Read more about scatter plots at:
https://brainly.com/question/6592115
How would I simplify radical expressions?
[tex]\sqrt{36x^8y^4}\\\\=\left(6^2 x^8 y^4\right)^{\tfrac 12}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\sqrt a = a^{\tfrac 12} \right]\\\\=\left(6^2\right)^{\tfrac 12} \cdot \left(x^8\right)^{\tfrac 12} \cdot \left(y^4\right)^{\tfrac 12}\\\\=6^{\tfrac 22} \cdot x^{\tfrac 82} \cdot y^{\tfrac 42}\\\\=6 x^4 y^2[/tex]
1. (A) Shivalik hills (C) Satpura hills (E) Mole hills (B) Nilgiri hills (D) Aravalli hills
Answer:
A
Step-by-step explanation:
Shivalik Hills
Hope it helps to you
:-)
Please help with math problem! :)
Answer:
Step-by-step explanation:
y-8=2x-2
y = 2x + 6
y- intersect = 6
x- intersect = -6/2 = -3
Slope: 2
what is the area of the rhombus with one side as 32cm and one diagonal as 18 meters
the area of the rhombus=32cm; one diagonal (q)=18meters
p=(2×area)/q
p=(2×32)/18=18
therefore the length of the unknown diagonal is 18.
the unknown diagonal can be calculated using the perimeter of the rhombus which is given as 32cm; one diagonal (p)=18 half of this diagonal
=18÷2=9units
38. In a certain school, 45% of the students are boys. 80% of the boys have brown hair while 50% of those with brown hair
are girls. What is the probability that a randomly selected girl does NOT have brown hair?
A) .19
B) .36
C) 55
D) .35
E) none of the above are correct
The probability that a randomly selected girl does not have brown hair is 34.54%.
Given that in a certain school, 45% of the students are boys, and 80% of the boys have brown hair while 50% of those with brown hair are girls, to determine what is the probability that a randomly selected girl does NOT have brown hair, the following calculation must be performed:
45 x 0.80 = 36% of the school are brown hair boys 36% of the school are brown hair girls 55 - 36 = 55 = 100 19 = X 19 x 100/55 = X 1900/55 = X 34.54 = X
Therefore, the probability that a randomly selected girl does not have brown hair is 34.54%.
Learn more about maths in https://brainly.com/question/25862092
Graph the line y= 2/3x +1
Step-by-step explanation:
Given the linear equation, y = ⅔x + 1, where the slope, m = ⅔, and the y-intercept, (0, 1) where b = 1.
Start at the y-intercept:In order to graph the given linear equation, start by plotting the coordinates of the y-intercept, (0, 1). As we know, the y-intercept is the point on the graph where it crosses the y-axis. It coordinates are (0, b), for which the value of b represents the value of the y-intercept in slope-intercept form, y = mx + b.
Plot other points using the slope:From the y-intercept, (0, 1), we must use the slope, m = ⅔ (rise 2, run 3) to plot the other points on the graph. Continue the process until you have sufficient amount of plotted points on the graph that you could connect a line with.
Attached is a screenshot of the graphed linear equestion, which demonstrates how I plotted the other points on the graph using the "rise/run" techniques" discussed in the previous section of this post.
[tex]\huge\boxed{Hello,\:hope\:you\:are\:having\:a\:wonderful\:day.}[/tex]We are asked to graph the line y=2/3x+1.
2/3 is the slope of this line (Rise/Run)
The rise is how many units we move up; the run is how many units we move left or right.
For this line, 2 is the rise, and 3 is the run.
Now, 1 is the y-intercept. (where the graph touches the y-axis)
First, plot this point: (0,1)
Then, move 2 units up and 3 to the left (Up 2, over 3, up 2, over 3)
When you have a line, take a ruler and connect these points, and you will have the graph of y=2/3x+1.
[tex]\huge\bold{Hope\:it\:helps!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
[tex]\huge\sf{Good\:luck}[/tex]
help please! a is wrong, that was my initial answer.
Answer:
D -1
Step-by-step explanation:
[tex]-6(3a+4)=3a-3[/tex]
[tex]-18a-24=3a-3[/tex]
[tex]-18a-3a=-3+24[/tex]
[tex]-21a=21[/tex]
a = [tex]\frac{21}{-21} =-1[/tex]
Hope this helps
Find the gradient of the line segment between the points (-6,2) and (4,10).
Give your answer in its simplest form.
Answer:
3
Step-by-step explanation:
gradient/slope/m formula:-
(-6,2) (4,10).
m=(10-4)/(-4-6)
m=6/2
m=3
PLS HELP!!! i can’t figure out this problem!!!
Answer:
7/9
Step-by-step explanation:
Evaluate the expression at x=8-. You can see from the graph that p(8-) = 3.
[tex]\displaystyle \lim_{x\to8^-}{\frac{3p(x)-2x}{15-3x}}=\frac{3(3)-2(8)}{15-3(8)}=\frac{-7}{-9}=\boxed{\frac{7}{9}}[/tex]