The solution to the system of linear equation x + y = 4 and x - y = 6 is (5, -1).
How to find the variable in a system of equation?
x + y = 4
x - y = 6
Therefore, let's add the equations.
2x = 10
divide both sides by 2
x = 10 / 2
x = 5
Let's find the value of y
Therefore,
x + y = 4
5 + y = 4
y = 4 - 5
y = - 1
Therefore, the solution of the system of equation is (5, -1)
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Explanation would be appreciated but not needed.
PLEASE HELP!!
How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?
Answer: [tex]No~Solution[/tex][tex]s[/tex]
Step-by-step explanation:
Let's factor then solve to find the complex solutions.
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : [tex]-4x-11=2(x-3x)+13[/tex]
Equations that are never true:
[tex]1.1 ~~~~ Solve : -24 = 0[/tex]
This equation has no solution.
A non-zero constant never equals zero.
Therefore your answer is [tex]No~Solution[/tex]
PLEASE HELP NEED ASAP.
Enter the values needed to find the
length AB. (Simplify your answer.)
A (-5x, 4y)
AB = (3x)2 + ([?])
=
D
E
E
C (7x, -1y)
Distance Formula
d = V(x2 - x2)2 + (y2 - yu)?
B (-2x, -47)
Answer: 8y
Step-by-step explanation:
I'm a little stuck on these problems!
100 points!!!
Answer:
coordinate, acute, ray, acute, star, ray
Step-by-step explanation:
The United States has a complex government system. One important tenet of this system is democracy, in which the ultimate power rests with the people. In the case of the United States, that power is exercised indirectly, through elected representatives. Although the U.S. has been a strong proponent of democracy, it did not invent democracy. The Greeks are often credited with pioneering a democratic government that went on to influence the structure of the United States. Read this article that describes how elements of ancient Greek democracy heavily influenced the figures that designed the United States government.
Which prism can be made using the net shown below?
A. triangular prism
B. Triangular prism
Cube
C. Triangular pyramid
D. Rectangular prism
Answer:
A or B because it is the same aswner
Step-by-step explanation:
Answer:a
Step-by-step explanation:
urgent!! Write a number that is greater than -7.81 and less than -7 .
Answer:
-7.6
Step-by-step explanation:
there are many correct answers for this problem
The number that is greater than -7.81 and less than -7 is -7.41. This can be written as -7.81 < -7.81 < -7. This is obtained by taking the midpoint or middle integer of the given integers.
How to find integers between two integers:Firstly add the two integers with respect to their signThen divide the result by 2. that is nothing but taking its average.This results in the integer which is in between the given integers.Calculation:Given that a number that is greater than -7.81
so, we can write -7.81 <?
And it is also given that the same number which is less than -7. we can write it as -7 >?
So, from this two we can state that the number which is required lies in between the given two integers.
so, we can write -7.81 <?< -7
To find this, we are applying the average for the two integers.
⇒ -7.81 - 7 = -14.81
⇒ -14.81/2 =-7.405 ≅ -7.41
The obtained number satisfies the given conditions
-7.81 < -7.41 and -7 > -7.41
Therefore, the required number is -7.41.
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What is the product? startfraction 4 k 2 over k squared minus 4 endfraction times startfraction k minus 2 over 2 k 1 endfraction startfraction 4 over 2 k 1 endfraction startfraction 2 over k minus 2 endfraction startfraction 2 over 2 k 1 endfraction startfraction 2 over k 2 endfraction
The product of the expression [tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1}[/tex] is the expression [tex]\frac{2}{k+2}[/tex]
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the expression:
[tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1} \\\\This\ can\ be\ simplified\ to:\\\\(\frac{2(2k+1)(k-2)}{(k+2)(k-2)(2k+1)}) \\\\=\frac{2}{k+2}[/tex]
The product of the expression [tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1}[/tex] is the expression [tex]\frac{2}{k+2}[/tex]
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Determine whether the events are mutually exclusive or not mutually exclusive. Then find the probability. Round to the nearest tenth of a percent, if necessary. 16. drawing a card from a standard deck and choosing a 7 or a 9.
The events are mutually exclusive and the probability of drawing a card from a standard deck and choosing a 7 or a 9 is 2/13
How to determine the probability?The given parameters are:
Standard deck = 52
n(7) = n(9) = 4
The probability of choosing a 7 or a 9 is calculated as:
P(7 or 9) = P(7) + P(9)
So, we have:
P(7 or 9) = 4/52 + 4/52
Evaluate
P(7 or 9) = 8/52
Simplify
P(7 or 9) = 2/13
Hence, the probability of drawing a card from a standard deck and choosing a 7 or a 9 is 2/13
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Collect like terms
6xy - xy - 5x + x
5xy - 4x
Step-by-step explanation:
6xy-xy= 5by
-5x+ x= -4x
Hey there!
6xy - xy - 5x + x
= 6xy - 1xy - 5x + 1x
COMBINE the LIKE TERMS
= (6xy - 1xy) - (5x + 1x)
= 6xy - 1xy - 5x + 1x
= 6xy - xy - 5x + x
= 5xy - 4x
Therefore, the answer should be:
5xy - 4x
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
If x is a positive integer and y is a negative integer,which of the following comparisons must be true?
Answer:
C. x - y > x
Step-by-step explanation:
You can compare the values of these expressions by using numerical values for x and y.
__
We can let x = 1 (a positive integer), and y = -1 (a negative integer).
Ay > x + y
-1 > 1 + (-1)
- 1 > 0 . . . . . . false
By < xy
-1 < (1)(-1)
-1 < -1 . . . . . . false
Cx - y > x
1 - (-1) > 1
2 > 1 . . . . . . true
D-xy < x
-(1)(-1) < 1
1 < 1 . . . . . . . false
Of all the students at a high school, 54% are in band and play sports. 78% of all students at the high school play sports. Find the probability that a student is in band given that the student plays sports. Round your answer to the nearest tenth.
A. 42.1%
B. 6.9%
C. 1.4%
D. 69.2%
Answer:
A. 42.1%
Step-by-step explanation:
sean has a total of 60 books on his book shelf of these, 25 are mystery books, 20 are fantasy books, 10 are biography books, and 5 are science books.
Answer:
Step-by-step explanation:
total type of books are 4 types
the probability of one book is 60
so the probability of type of a book is 4/60=1/15
simplify 3(6-3) -2x2 + 15 /5
Answer: [tex]\frac{3(6-3)-2x^{2}+15 }{5} : \frac{-2x^{2}+24 }{5}[/tex]
You're welcome.
Find the value of x in the parallelogram below
Answer:
x=18
Step-by-step explanation:
we know that in parallelogram opposite sides are equal
Hence on equating we get
x=18
Add and simplify your answer. Show your work 1 / 8 + 1 / 8
Answer:
1/4.
Step-by-step explanation:
1/8 plus 1/8 is 2/8. This is because if we add the numerators it is 2, and therefore it is 2/8. This simplifies to 1/4 if you divide the numerator and denominator by 2. Hope this helps!
Answer: 1/4
Step-by-step explanation: 1/8 + 1/8= 2/8 and if you simplify that it would be 1/4 sorry if this doesn't help
How many different 4-question geometry quizzes can a teacher make if there are 7 different problems to test on?.
Answer:
35 quizzes
Step-by-step explanation:
We need to determine how many ways we can choose 4 questions out of 7 to make the quizzes.
We do this by using the formula [tex]\displaystyle nCr=\frac{n!}{r!(n-r)!}[/tex] which describes the number of ways we can choose [tex]r[/tex] objects given [tex]n[/tex] possible choices. So, if [tex]n=7[/tex] and [tex]r=4[/tex], then:
[tex]_4C_7=\frac{7!}{4!(7-4)!}\\\\_4C_7=\frac{7*6*5*4!}{4!*3!}\\\\_4C_7=\frac{210}{6}\\\\_4C_7=35[/tex]
Hence, the teacher can make 35 different geometry quizzes.
A(x) = x( 48 - x)
When is A(x) at its maximum?
Explain or show how you know.
Answer:
When X = 24
Step-by-step explanation:
Use derivative to locate the turning point.
48 - 2X = 0, => X = 24
A tiny house has a length of 12 feet. the width of the kitchen is 9 feet ad the width of the bathroom is 3 feet.
Answer:
So i think it woulds be a 12 by 12 house beceasue 9+3=12 so it would be 12 by 12
Hope This Helped Sorry if It Is Not What You Wanted.
Answer:
144 ft ²
Step-by-step explanation:
Given:
A tiny house has a length of 12 feet. the width of the kitchen is 9 feet ad the width of the bathroom is 3 feet.
Solve:
The expression 12(9+3) represents the total area in square feet.
Hence you can use the expression 12(9+3) to find the area.
12(9+3) {Solve in the parentheses}
12(12) {Multiply}
= 144
Hence, the area is 144 ft ²
Kavinsky
1. What are the formulas for the two main types of energy?
Answers:
Kinetic Energy Formula: [tex]KE = \frac{1}{2} mv^2[/tex]
Potential Energy Formula: [tex]PE=mgh[/tex]
Explanations:
For KE:
Kinetic energy is directly proportional to the mass of the object and to the square of its velocity. If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared.
For PE:
In the above equation, m represents the mass of the object, h represents the height of the object and g represents the gravitational field strength (9.8 N/kg on Earth) - sometimes referred to as the acceleration of gravity.
Nate has £88.65 to convert into shekalim. the currency exchange he is using charges an 8% fee after the currency conversion has occured. about how many more shekalim will nate receive if he makes his trade on the day with the most favorable exchange rate than if he makes his trade on the day with the least favorable exchange rate? a. ins 41.69 b. ins 38.35 c. ins 31.68 d. ins 6.67
If he makes his trade on the day with the least favorable exchange rate, the amount received is ins 38.35
How to determine the amount received?From the complete question, we have the following parameters:
£1= 0.47 --- least favorable rate
Given that the uses a charge of 8%, the amount received when he converts £88.65 is calculated using:
Amount = Rate * Amount * (1 - 8%)
So, we have:
Amount = 0.47 * 88.65 * (1 - 8%)
Evaluate the product
Amount = 38.33
The closest amount to 38.33 is 38.35.
Hence, the amount received is ins 38.35
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Need help on math homework
Which equation describes the circle
with center (5,-1) and radius 7?
Answer:
B
Step-by-step explanation:
circle equation is :
[tex](x - a) ^{2} + (y - b) ^{2} = r^{2} [/tex]
With (a) being the x coordinate of the centre and (b) being the y coordinate of the centre, r is the radius;
make sure to square the radius when using it in this formula
State the domain and range of: y = arcsin (x²)
Answer:
Domain is -1 ≤ x ≤ 1.
Range is 0 ≤ y ≤ π/2.
Step-by-step explanation:
The arcsin only exists for -1 ≤ x ≤ 1 so this domain is
-1 ≤ x ≤ 1.
When x = 1 or -1 , y = arcsin(1^2) = π/2
When x = 0 , y = 0.
Please help me with this (20 points)
Answer:
x³-2x²-22x-21
Step-by-step explanation:
(x+3) (x²-5x-7)
x³-5x²-7x+3x²-15x-21
x³-2x²-22x-21
[tex]Answer☘️[/tex]
[tex]\large{\underline{ \boxed{ \sf{✰\:Important\:points }}}}[/tex]
[tex]\pink {\underline{ \boxed{ \sf{»\:distributive\:property }}}}[/tex]
⇝A property of functions that have a rule describing how the function can be performed to the individual components of another operation.
⇝If the operation ★ is distributive with respect to the operation °, then a★(b°c)=(a★b)°(a★c).
[tex] \sf➛(x + 3)( {x}^{2} - 5x - 7) \\[/tex]
[tex]\\ \sf \:➛ distributing \: x \: with \: ( {x}^{2} - 5x - 7) \\ \sf \: then \\ \sf \:➛ 3 \: with \: ({x}^{2} - 5x - 7)[/tex]
[tex] \sf \: ➛gives \\ \sf \: ➛{x}^{3} - 5 {x}^{2} - 7x + 3{x}^{2} - 15x - 21 \\ [/tex]
Now arranging termsthen adding nd subtracting like terms gives you:-[tex] \sf➛{x}^{3} + 2 {x}^{2} - 22x - 21[/tex]
[tex] \underline{ \boxed{ \sf{✰\: Option\:D✓ }}}[/tex]
Hope it helps ~
how many solution does 8m=-48 have
Answer:
1 solution
Step-by-step explanation:
8m = - 48 ( divide both sides by 8 )
m = - 6 ← is the only solution
True or false? if you are balancing an object on its center of mass, there must be equal amounts of mass on both sides of the center of mass
The statement 'if you are balancing an object on its center of mass, there must be equal amounts of mass on both sides of the center of mass" is false.
What is center of mass?A place at which the entire mass of a body or all the masses of a system of particles appears to be concentrated is defined as the center of mass of a body or system of particles.
We have statement:
If you are balancing an object on its center of mass, there must be equal amounts of mass on both sides of the center of mass.
As we know, center of a mass is an object balance point it doesn't need to have equal amounts of mass on both sides of the center of mass.
Thus, the statement 'if you are balancing an object on its center of mass, there must be equal amounts of mass on both sides of the center of mass" is false.
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1) x2 + 5x + 4 = 0
a =
b=
C =
vb2 - 4ac =
-
[tex]\text{Compare}~ x^2 +5x +4=0~ \text{with the standard form of quadratic equation}~ \\\\ax^2 +bx +c =0\\\\a=1\\\\b=5\\\\c=4\\\\\sqrt{b^2 -4ac} = \sqrt{5^2 -4 \cdot 1 \cdot 4} = \sqrt{25 -16} = \sqrt{9} =3[/tex]
Enter a range of values for x.
a
a
3x-90 939
26
27
[?]
Answer:
3<x<34
Step-by-step explanation:
(Big side to big angle)
Solution: 27>26 => 93°>3x - 9°
102°>3x
34>x
HOPE THIS HELPS AND HAVE A NICE DAY <3
The figure shown is formed by a square and a semicircle. Line segment BC is 4 cm. Find the area of the figure.
Question 5 options:
22.28 cm2
20.56 cm2
32.642
22.542
Step-by-step explanation:
area of square = 16
area of semi circle =( π/2)*4 = 2π
total area = 22.48cm^2
Lucia has 48 markers and 64 stickers that she wants to give as favors for a party. She wants to put an equal number of markers and an equal number of stickers into each favor bag. She uses all the markers and stickers.
Use the drop-down menus to complete the statements below about the number of bags Lucia can make.
She could put 6 markers and 8 stickers in each bag to make 8 bags in total.