3x + 6y = 9 solve for x
Answer:
x= -2y+3
Step-by-step explanation:
First move the variable to the right: 3x= 9-6y
Next divide both sides of the equation by 3: x=3-2y
Lastly reorder the numbers, the variable should be placed first: x= -2y+3
Find PD if the coordinate of P is -7 and the coordinate of D is -1.
The length of PD is 6 units given that he coordinate of P is -7 and the coordinate of D is -1.
We are given that the coordinate of point P is - 7 and the coordinate of point D is - 1
We need to find the distance between the point P and point D.
The length of PD is the distance between point P and point D which will be calculated as:
PD = | P + D |
Substituting the values, we get that:
PD = | - 7 + - 1 |
PD = | - 6 |
PD = 6 units.
Therefore, the length of PD is 6 units given that he coordinate of P is -7 and the coordinate of D is -1.
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2. Which statement correctly describes the
perpendicular bisector construction below?
The statement correctly describes the perpendicular bisector construction below The construction of JK to bisect GH: Option D is the correct answer
What is perpendicular bisector?The term perpendicular bisector refers to the line that divides another line into two equal parts, making an angle of 90 degrees. The term is made up of two words, perpendicular and bisector.
Perpendicular refers to angle 90 degrees, while the bisector refers to dividing into two equal parts.
In the picture, the main line is GH while JK is the line constructed to bisect the main line
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Incorrect
7(14+49)
7(2+49)
Question 5
60
0/1 pts
Fabric is sold in stores from bolts that are 45 or 60 inches wide. What is the
width, in inches, of the widest strips of fabric you can cut from either bolt
without wasting any of the fabric if each strip has the same width?
Answer:
15
Step-by-step explanation:
The greatest common factor of 45 and 60 is 15.
A plastic page designed to hold trading cards will hold up to 7 cards. How many pages will be needed to store 513 cards? Give an appropriate counting number answer to the question. (Find the least counting number that will work.)
The number of pages that would be needed to store 513 cards is (Simplify your answer)
Answer: 73 Pages
Step-by-step explanation: divide the cards by max cards in one plastic page aka
513 divided by 7 = 73
and a decimal but you cant have a decimal of an item ( if that makes sense)
rotation 90 degrees about the origin F(2,-2), E(3,0), D(5,-5) [PLEASE I NEED HELP FAST]
The image of the triangle when rotated is F'(-2,-2), E(0, -3), D(-5,-5)
How to determine the image of the triangle when rotated?The vertices of the triangle are given as:
F(2,-2), E(3,0), D(5,-5)
The transformation rule is given as
90 degrees rotation
The rule of 90 degrees rotation is
(x,y) = (y , -x)
When the above rule is applied to the vertices of the triangle, we have:
F'(-2,-2), E(0, -3), D(-5,-5)
Hence, the image of the triangle when rotated is F'(-2,-2), E(0, -3), D(-5,-5)
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The governor of state A earns $49,485 more than the governor of state B. If the total of their salaries is $288,035, find the salaries of each.
need to find a and b
Answer:
a) $168,760
b) $119,275
Step-by-step explanation:
For this, I believe you do $288,035 - $49,485. This equals $238,550.
Then divide this by 2 to get the salary for state B, which is $119,275 .
$168,760 remains, so it's the salary for state A.
Answer:
Governor of state A = 168,760
Governor of state B = 119,275
Step-by-step explanation:
A = 49485 + B Eq. 1
A + B = 288035 Eq. 2
A = Earns of governor of state A
B = Earns of governor of state B
Replacing Eq. 1 in Eq. 2:
(49485+B) + B =288035
2B + 49485 = 288035
2B = 288035 - 49485
2B = 238550
B = 238550/2
B = 119275
From eq. 1
A = 49485 + 119275
A = 168760
Check:
from eq. 2:
A + B = 288035
168760 + 119275 = 288035
Which of the graphs of the inequality y+1<2(x-2)?
Answer:
x> 1/2 y+5/2
i hope this helps you <33
Simplify : p^2-p-12/p^2-10p+24
Step-by-step explanation:
[tex] = \frac{ {p}^{2} - p - 12 }{ {p}^{2} - 10 + 24} \\ [/tex]
[tex] = \frac{ {p}^{2} - (4 - 3)p - 12 }{ {p }^{2} - (6 + 4)p + 6 \times 4} \\ [/tex]
[tex] = \frac{ {p}^{2} - 4p + 3p - 4 \times 3 }{ {p}^{2} - 6p - 4p + 6 \times 4 } \\ [/tex]
[tex] = \frac{p(p - 4) + 3(p - 4)}{p(p - 6) - 4(p - 6)} \\ [/tex]
[tex] = \frac{(p + 3)(p - 4)}{(p - 4)(p - 6)} \\ [/tex]
[tex] = \frac{p + 3}{p - 6} \\ [/tex]
☘️☘️☘️...
Consider Line 2, which has the equation: y = = - 1/3x + 14, Give the equation of the line parallel to Line 2 which passes through: (-7,4).
The equation of teh second line is y = -1/3x + 5/3
How to determine the equation?The first equation is given as
y = -1/3x + 14
The slope of the above equation is
m = -1/3
Parallel lines have equal slope
So, the slope of the other line is
m = -1/3
The equation is then calculated as
y = m(x - x1) + y1
So, we have
y = -1/3(x + 7) + 4
Expand
y = -1/3x - 7/3 + 4
Evaluate
y = -1/3x + 5/3
Hence, the equation of teh second line is y = -1/3x + 5/3
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What is the domain of the function on the graph?
all real numbers
all real numbers greater than or equal to 0
O all real numbers greater than or equal to -2
O all real numbers greater than or equal to -3
The domain of the function given on the graph is basically all numbers which are real and greater than or equal to -3.
Given a graph of a function.
We are required to choose the correct domain of the function from the options.
Function is basically a relationship between two or more variables that are expressed in equal to form. The values that we enter in the function are known as part of domain of that function and the values that we get from the function are known as part of range of that function.
Because the lowest point on x axis on which the curve starts is -3 and it continuously increases, so the domain of the function given on the graph is basically all real numbers which are greater than or equal to -3.
Hence the domain of the function given on the graph is all real numbers which are greater than or equal to -3.
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Question is incomplete as it should include the attached figure.
Find a + b, 9a + 3b, |a|, and |a − b|. a = 9i − 4j + 3k, b = 6i − 9k
1) a + b = ?
→ (9i − 4j + 3k) + (6i − 9k)
→ 15i - 4j - 6k
2) 9a + 3b = ?
→ 9(9i − 4j + 3k) + 3(6i − 9k)
→ (81i - 36j + 27k) + (18i - 27k)
→ 99i - 36j
3) |a| = ?
→ |9i − 4j + 3k|
→ 9i + 4j + 3k
4) |a − b| = ?
→ |(9i − 4j + 3k) - (6i − 9k)|
→ |3i - 4j + 12k|
→ 3i + 4j + 12k
Answer:
[tex]a+b=15i-4j-6k[/tex]
[tex]9a+3b=99i-36j[/tex]
[tex]|a| = 9i+4j+3k[/tex]
[tex]|a-b| = 3i+4j+12k[/tex]
Step-by-step explanation:
Given:
[tex]\begin{cases}a = 9i-4j+3k\\b=6i-9k\end{cases}[/tex]
[tex]\begin{aligned}a+b & = (9i-4j+3k)+(6i-9k)\\& = 9i-4j+3k+6i-9k\\& = 9i+6i-4j+3k-9k\\& = 15i-4j-6k\\\end{aligned}[/tex]
[tex]\begin{aligned}9a+3b & = 9(9i-4j+3k) + 3(6i-9k)\\& = 81i-36j+27k+ 18i-27k\\& = 81i+ 18i-36j+27k-27k\\& = 99i-36j\end{aligned}[/tex]
[tex]\begin{aligned}|a| & = |9i-4j+3k|\\& = 9i+4j+3k\end{aligned}[/tex]
[tex]\begin{aligned}|a-b| & = |(9i-4j+3k)-(6i-9k)|\\& = |9i-4j+3k-6i+9k|\\& = |9i-6i-4j+3k+9k|\\& = |3i-4j+12k|\\& = 3i+4j+12k\end{aligned}[/tex]
f(x) = 4x³ + 5x² 3x6
g(x) = 4x - 5
Find (f - g)(x).
The value of (f-g)(x) is 4x3+5x2-7x-1.
Real- or complex-valued functions defined on the set Z+ of positive integers are arithmetic functions. They explain arithmetic characteristics of numbers and are frequently applied in number theory. For all real numbers, the four fundamental arithmetic operations in mathematics are: Finding the sum in addition ('+') Subtraction (Difference-finding; "-" Multiplication (Identifying the result; "" Finding the quotient in division (")Mathematical branch known as arithmetic deals with the study and use of numbers, relationships between numbers, and observations on numbers.
f(x)=4x3+5x2-3x-6
g(x)=4x-5
Therefore,
(f-g)(x)=f(x)-g(x)
=(4x3+5x2-3x-6) – (4x-5)
= 4x3+5x2-3x-6-4x+5
=4x3+5x2-(4+3)x-(6-5)
=4x3+5x2-7x-1
Hence, the value of (f-g)(x) is 4x3+5x2-7x-1
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Translate the sentence into an equation.
Six more than the quotient of a number and 4 is equal to 8.
Use the variable x for the unknown number.
Answer:
(n ÷ 4) + 6 = 8
Step-by-step explanation:
Quotient means The answer when you divide' So we are working in the division.
n ÷ 4 is the division part
It says 'and' which can also mean addition. So we add 6. So far our equation is: (n ÷ 4) + 6 (Brackets are needed as we are dividing n by 4 and not dividing n by 4+6)
Lastly it says the answer must be 8 so we add that at the end. So the answer is:
(n ÷ 4) + 6 = 8
Find the area and perimeter.
The figure shows a rectangle. The length of the rectangle is given by 9 x units. The width of the rectangle is given by 2 x plus 7 units.
18x2 + 63x; 22x + 14
63x2 + 16; 22x + 14
18x2 + 63x; 16x + 2
63x2 + 18; 11x + 7
The area and the perimeter are 18x^2 + 63x and 22x + 14
How to determine the area and the perimeter?The given parameters are
Length = 9x
Width = 2x + 7
The area is calculated as
Area = Length * Width
So, we have
Area = 9x * (2x + 7)
This gives
Area = 18x^2 + 63x
The perimeter is calculated as
P = 2 * (Length + Width)
So, we have
P = 2 * (9x + 2x + 7)
Evaluate
P = 22x + 14
Hence, the area and the perimeter are 18x^2 + 63x and 22x + 14
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what is the surface area of triangular pyramid?
Answer:
223.5 in²
Step-by-step explanation:
The surface area of a triangular pyramid comprises:
Area of the base triangle.Area of 3 congruent side triangles.Area of a triangle
[tex]\sf A=\dfrac{1}{2}bh[/tex]
where:
b = baseh = heightFrom inspection of the diagram:
Base triangle: b = 10 in, h = 8.7 inSide triangles: b = 20 in, h = 12 in[tex]\begin{aligned}\implies \textsf{Area of the base triangle} & = \sf \dfrac{1}{2} \cdot 10 \cdot 8.7\\& = \sf 5 \cdot 8.7\\& =\sf 43.5\:in^2\end{aligned}[/tex]
[tex]\begin{aligned}\implies \textsf{Area of a side triangle} & = \sf \dfrac{1}{2} \cdot 10 \cdot 12\\& = \sf 5 \cdot 12\\& =\sf 60\:in^2\end{aligned}[/tex]
[tex]\begin{aligned}\implies \textsf{S.A. of the triangular pyramid} & = \textsf{base triangle}+\textsf{3 side triangles}\\& = \sf 43.5 + 3(60)\\& = \sf 43.5 + 180\\& = \sf 223.5\:in^2\end{aligned}[/tex]
Therefore, the surface area of the given triangular pyramid is 223.5 in².
(x³- 3x²+2x+1)/x²-4x+4 dx (dx/dy) + (x²+4y-y²)/(²√4y+y²)
Answer:
y=1 x=1
×[[×[+[[+[+[+[+[+[+[+[+[+[[
Negative 16/72 in simplest form
Answer:
Negative 2/9 I believe
Step-by-step explanation:
sorry if i am wrong
Answer:
-2/9
Step-by-step explanation:
-16/72
Simplify
We can divide the top and bottom by 8
16 divided by 8 = 2
72 divided by 8 = 9
-2/9
A. Write the FF sets using the roster method:
B. Complete the FF by writing each set in three defferent ways :
The roster form of the given sets will be S = { 1, 2, 3, 4, 5, 6, 7, 8, 9}, S = { blue, red, green } and S = { Math, Science, English, Hindi, SST, Computer }.
We are given some sets in descriptive form.
We have to write it in the roster form.
The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets.
1 ) The set of all counting numbers less than 10.
Roster form will be:
S = { 1, 2, 3, 4, 5, 6, 7, 8, 9}
2) The set of primary colors.
Roster form will be:
S = { blue, red, green }
3 ) The set of all subjects in grade 7 level:
Roster form will be:
S = { Math, Science, English, Hindi, SST, Computer }
Therefore, the roster form of the given sets will be S = { 1, 2, 3, 4, 5, 6, 7, 8, 9}, S = { blue, red, green } and S = { Math, Science, English, Hindi, SST, Computer }.
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Let f(X)=3√x
if g(x) is the graph of the f(x) shifted down 1 units and left 5 units write a formula for g(x)
g(x)=
g(x) = 3√(x-5) -1
The process of altering a graph to produce a different version of the preceding graph is known as graph transformation. The graphs can be moved about the x-y plane or translated. They may also be stretched, or they may undergo a mix of these changes.
Horizontal stretching: It means the graph is elongated or shrink in x direction.
Vertical stretching : It means the graph is elongated or shrink in y direction
Vertical translation : It means moving the base of the graph in y direction
Horizontal translation : It means moving the base of the graph in x direction
According to rules of transformation f(x)+c shift c units up and f(x)-c shift c units down.
Therefore, in order to move the graph down 1 units, we need to subtract given function by 1 , we get
g(x) = 3√x -1
According to rules of transformation f(x+c) shift c units left and f(x-c ) shift c units right.
Therefore, in order to move the graph left by 5 units, we need to add given function by 5 , we get
g(x) = 3√(x-5) -1
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pls help i have no clue what this is
Answer:
³√729 = 9
Step-by-step explanation:
The given information is,
→ ³√729
Prime factorization of 729 is,
→ 3 × 3 × 3 × 3 × 3 × 3
We know that,
→ ³√27 = 3
Let's solve the problem,
→ ³√729
→ ³√{(3 × 3 × 3) × (3 × 3 × 3)}
→ ³√(27 × 27)
→ 3 × 3 = 9
Hence, the answer is 9.
Please explain this
Determine the domain and range of the graph
Please hurry
Solve for c.
a = 11+4b- 4c
i think c is correct
Answer:
I'm not sure, but what I got as my answer was c= -a/4 + 11/4 + b
Step-by-step explanation:
a runner does a lap on the track for every 5 minutes. he start at 4:15 p.m. if he rest every 3 minutes what time will he complete the fourth lap
Answer: 4:42
Step-by-step explanation:
4. — 1+4= + 12 10 1 2 3 4 5 can you answer this?
Answer:
7=37
Step-by-step explanation:
no solution problem
I Use the quadratic equation to complete the following sentence
2 - 4x + 10 = 0
The quadratic equation has
Select One
Answer:
your answer is 7/2
3.What is the official language of cape verd
Answer:
Portuguese
Step-by-step explanation:
My brother-in-law lived in Cape Verde for 2 years, and he is fluent in Portuguese as a result.
Answer:
Portuguese is the official language of Cape Verde
Justin says that the equation for the circle is (x−2)2+(y+1)2=4 . What is his error?
Justin says that the equation for the circle is (x−2)^2+(y+1)^2=4 . The error is in RHS there should be a square of radius like 16 should be come in RHS instead of 4.
A line that is bent such that its ends meet and all of its points are equally spaced from the middle. We gathered in a circle around the hearth. 2: something shaped like or like a circle.
Dimensional terms include circumference, diameter, radius, chord, segment, tangent, point of contact, arc, angles on major and minor arcs, angle of center, and sectors. A circle's circumference is the distance that surrounds it.
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A school district receives a donation of 15,000 pencils. At one of the middle school in the district, there are 4 math classes. At each of the other three middle schools in the district, there are 6 math classes each. Each math class gets the same number of pencils. How many pencils does each math class get?
Hence , the number of pencil's each math class get 1500 .
A numerical expression in arithmetic are often a mixture of numbers, and integers combined mistreatment mathematical operators like addition, subtraction, multiplication, or division.Let the number of pencil's each math class have be "x".
It is given that one middle school have 4 math classes and other three middle school have e 6 math classes .
Then number of pencil's 4 math classes get = 4x
The number of pencil's 6 math classes get = 6x
Total number of pencil's = 15,000
According to question
4x + 6x = 15000
10x = 15000
x = 15000/10
x = 1500
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What’s 1,234,320 rounded to the nearest thousand
Answer:
4,000
Step-by-step explanation:
Rounding rule:
"4 or less, round down / keep the same."
"5 or more, round up."
Since the hundreds place has a 3, that means we round the thousands place to 4,000, because the hundreds place is lower than 5.