The simplified expression for the perimeter of the rectangle is 16x - 4. The perimeter of a rectangle is given by the formula: P = 2 * (length + width).In this case, the length of the rectangle is given as 7x + 1, and the width is given as x - 3.
So, the perimeter can be expressed as: P = 2 * (7x + 1 + x - 3)
Now, let's simplify this expression: P = 2 * (8x - 2)
P = 16x - 4
Therefore, the simplified expression for the perimeter of the rectangle is 16x - 4.
A rectangle is a type of quadrilateral with specific properties that distinguish it from other shapes. Here are some key properties of a rectangle:
Opposite Sides are Equal in Length: In a rectangle, the opposite sides are always equal in length. This means that the length of one pair of parallel sides is the same as the length of the other pair.
Opposite Angles are Equal: The opposite angles in a rectangle are equal in measure. This property makes all angles in a rectangle right angles (90 degrees).
Consecutive Angles are Supplementary: Consecutive angles in a rectangle are supplementary, meaning that the sum of any two consecutive angles is 180 degrees. This property is a consequence of the fact that opposite angles are equal, making each pair of consecutive angles form a linear pair.
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Use the Distributive Property to multiply. 2(b – 7)
Answer:
2b - 14
Step-by-step explanation:
2(b – 7)
2b - 14
Answer:
[tex]2b-14[/tex]
Step-by-step explanation:
Using the distributive property, [tex]2(b-7)[/tex] can be written as [tex](2\cdot b)-(2\cdot7)[/tex] which solved/simplified is [tex]2b-14[/tex]
Man, it's late! Well, hope this helped you out and answered your question!
least multiple of 2983548
Answer:
it must be 2983548×2............
Solve 2/5 x + 1/2 = 5/6
Answer:
5/6
Step-by-step explanation:
I'm assuming the x in your equation is used as a variable.
5/6-1/2= 2/6=1/3
2/5x=1/3
x=5/6
HELP PLEASE HELPPP PLEAE NO LINKS OR I WILL REPORT YOU PLEASE GIVE EXPLANATION
Answer:
(I got your back pal) Your answer is -41/21
Can you give me a brainlest it would help me a lot
Create a function that generates for any value x the corresponding value y when
y= 17x^2+ 14x +9
Required:
What is the value y when x =12?
Answer:
Step-by-step explanation:
the density of oxygen is 0.0001429 grams per cubic centimeter.how is this number written in scientific notation?
please answer this question
Step-by-step explanation:
all steps are in picture
Which of the following fractions is in lowest form
fraction is in lowest term is no(b)
1+1×5−6+8×(4+4)−62
Find the ans here
Answer:
2
Step-by-step explanation:
1+1×5−6+8×(4+4)−62 =
1+1x5-6+8x(8)-62 =
1+5-6+64-62 =
2
Hope this helps! :)
Help please thanksss!!
Answer:
4. 3,52 - Tenths
0.352 - Hundredths
5. 65.09 - Ones
7.005 - Thousandths
6. 753.4 - Tens
0.051 - Hundredths
5x²+4x+3=0 solve for x
Answer:
[tex]{ \underline{ \sf{x \: is \: \: \{ \frac{ - 5 + i \sqrt{35} }{10} \} } \: \: and \: \: \{ \frac{ - 5 - i \sqrt{35} }{10} \}} }[/tex]
Step-by-step explanation:
[tex]5 {x}^{2} + 4x + 3 = 0 [/tex]
from quadratic formular:
[tex]{ \sf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }} [/tex]
general equation:
[tex] {ax}^{2} + bx + c = 0[/tex]
a is 5, b is 4 and c is 3:
substitute in formular:
[tex]{ \sf{x = \frac{ - 5± \sqrt{ {5}^{2} - (4 \times 5 \times 3) } }{(2 \times 5)} }} \\ \\ { \sf{x = \frac{ - 5± \sqrt{ - 35} }{10} }}[/tex]
but from complexes, i² = -1
[tex]{ \sf{x = \frac{ - 5± \sqrt{35 {i}^{2} } }{10} }} \\ \\ = { \sf{x = \frac{ - 5±i \sqrt{35} }{10} }}[/tex]
what is the slope of the line
Answer:
i think zero but i suck at slope
Step-by-step explanation:
pew pew
I need answers for problem solving
Answer:
243
Step-by-step explanation:
the answer is 243 for number 6
Answer:
all you gotta do is do 2430 divided by ten
616÷2=308. I got 38 instead of 308 when solved with long division
Answer:
U forgot to add zero while dividing
Determine whether the following statement is true or false.
A proper use of units can help us to determine the meaning of the slope of a linear function.
Here we want to see if the statement:
"A proper use of units can help us to determine the meaning of the slope of a linear function" is true or false.
We will see that it is true.
First, a general linear equation can be written as:
y = a*x + b
Where a is the slope, x is the independent variable, y is the dependent variable, and b is the y-intercept.
The proper use of units is:
y and b must have the same units.
x can have any type of units
The slope must have the quotient between the units of y and the units of x.
Where the proper use of units means that we have the same units on both sides of the expression.
Now, assume that we know the units of y and x.
For example:
y is miles (then b is also in miles)
x is in hours
Then, with the proper use of units, we can see that the units of the slope are:
miles/hour, or miles per hour.
With this (only knowing the units of x and y) we can see that the slope will be a speed.
So yes, the proper use of units is really important, as this has a lot of information (particularly, the meaning of the slope in a linear equation)
Thus, the statement is true.
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<7 and <8 are complimentary angles. <5 = <8 and m<6 = 29. Find the measure of angle 7 and angle 5
Here <5=<8 then
<7=<6=29[tex]\\ \sf\longmapsto <7+<8=90[/tex]
[tex]\\ \sf\longmapsto 29+<8=90[/tex]
[tex]\\ \sf\longmapsto <8=90-29[/tex]
[tex]\\ \sf\longmapsto <8=61[/tex]
<5=61°Based on the table which college expenses would you consider fixed and which expenses would you consider variable? Why?
9514 1404 393
Answer:
fixed: tuition, room, mealsvariable: books, personal, transportationStep-by-step explanation:
"Fixed" expenses are ones that don't change. They stay the same from year to year. Those would include ...
Fixed
tuition and fees: $4640room and board: $10,304campus meal plan: $3998"Variable" expenses are ones that change depending on circumstances. Those would include ...
Variable
books and supplies: $1500 to 2500personal expenses: $3000 to 4600transportation: $0 to 800I want to know how to solve this.
Answer:
B
I just did it and got it right
Which expression is equivalent to (5^3)−2?
A 1
-
5^3
B -1/ 5•5•5•5•5•5
C 5^3
D 1/5•5•5•5•5•5
Answer:
D 1/5•5•5•5•5•5
Step-by-step explanation:
(5^3)^−2
We know a^b^c = a^(b*c)
5^(3*-2)
5^(-6)
We know a^-b = 1/a^b
1/5^6
1/(5*5*5*5*5*5)
iwidncuhbcffbhbhvfrhur3huivr4hiuvriuvfruvfiuvfjivfrjiovrjiovfriojvrfjiovfiovrfmvr mkormkvmkvkmorbemoivbe
Answer:
3.14159265358979
Step-by-step explanation:
Determine all values of the constant k for which the given set of vectors is linearly independent in R4.{(1,1,0,−1), (1,k,1,1),(5,1,k,1), (−1,1,1,k)}
If these vectors are to be linearly independent, then there exists some not-all-zero choice for scalars [tex]c_1,c_2,c_3,c_4[/tex] such that
[tex]c_1(1,1,0,-1) + c_2(1,k,1,1) + c_3(5,1,k,1) + c_4(-1,1,1,k) = (0,0,0,0)[/tex]
We can recast this as a system of linear equations,
[tex]\begin{bmatrix}1&1&5&-1\\1&k&1&1\\0&1&k&1\\-1&1&1&k\end{bmatrix}\begin{bmatrix}c_1\\c_2\\c_3\\c_4\end{bmatrix} = \begin{bmatrix}0\\0\\0\\0\end{bmatrix}[/tex]
This system has a solution if the coefficient matrix on the left side is not singular. So we attempt to find k such that it *is* singular, i.e. the determinant is zero:
• A cofactor expansion along the first column gives
[tex]\begin{vmatrix}1&1&5&-1\\1&k&1&1\\0&1&k&1\\-1&1&1&k\end{vmatrix} = \begin{vmatrix}k&1&1\\1&k&1\\1&1&k\end{vmatrix} - \begin{vmatrix}1&5&-1\\1&k&1\\1&1&k\end{vmatrix} + \begin{vmatrix}1&5&-1\\k&1&1\\1&k&1\end{vmatrix}[/tex]
• Cofactor expansions along the first columns of the remaining 3x3 matrices give
[tex]\begin{vmatrix}k&1&1\\1&k&1\\1&1&k\end{vmatrix} = k \begin{vmatrix}k&1\\1&k\end{vmatrix} - \begin{vmatrix}1&1\\1&k\end{vmatrix} + \begin{vmatrix}1&1\\k&1\end{vmatrix} = k^3-3k+2[/tex]
[tex]\begin{vmatrix}1&5&-1\\1&k&1\\1&1&k\end{vmatrix} = \begin{vmatrix}k&1\\1&k\end{vmatrix} - \begin{vmatrix}5&-1\\1&k\end{vmatrix} + \begin{vmatrix}5&-1\\k&1\end{vmatrix} = k^2-4k+3[/tex]
[tex]\begin{vmatrix}1&5&-1\\k&1&1\\1&k&1\end{vmatrix} = \begin{vmatrix}1&1\\k&1\end{vmatrix} - \begin{vmatrix}5&-1\\k&1\end{vmatrix} + \begin{vmatrix}5&-1\\1&1\end{vmatrix} = -k^2 - 6k + 7[/tex]
It follows that
[tex]\begin{vmatrix}1&1&5&-1\\1&k&1&1\\0&1&k&1\\-1&1&1&k\end{vmatrix} = (k^3-3k+2) - (k^2-4k+3) + (-k^2 - 6k + 7) \\\\ \begin{vmatrix}\cdots\end{vmatrix} = k^3 - 2k^2 - 5k + 6 = (k-3)(k-1)(k+2)[/tex]
which makes the coefficient matrix singular if k = 3, k = 1, or k = -2.
Then the four vectors are linearly independent for
[tex]\left\{ k\in\mathbb R \mid k\not\in\{-2,1,3\}\right\}[/tex]
expressions equal to 10^3
Answer:
1000
Step-by-step explanation:
10³
= 1000
Answer:
10 * 10 * 10
Step-by-step explanation:
Cubing a number just means you are multiplying that number 3 times to itself. Since we have 10^3, we multiply 10 to itself three times.
Best of Luck!
If , then the ordered pair of f -1(10) = (10, 31) (10, 3) (3, 10)
help asap
Answer:
B
Step-by-step explanation:
f^(-1) (x) = (x-1)/3
f^(-1) (10) = (10-1)/3 = 3.
Three times the sum of a number and 2 is the same as three-fifths of the sum of the same
number and 22. What is the number?
Answer:
3
Step-by-step explanation:
3(n+2)=3/5(n+22)
3n+6=3/5n+66/5
3n-3/5n = 66/5 - 6
2.4n = 7.2
n = 7.2/2.4
n = 3
Kelly said that 97/1000 can be written as 0.97 is correct? Explain.
Answer:
No
Step-by-step explanation:
To write 97/1000 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 97 by 1000 what we write down as 97/1000 and we get 0.097
And finally we have:
97/1000 as a decimal equals 0.097
Do the mathematics please. I will give a reward.
9514 1404 393
Answer:
p = -3/4b -3/4
Step-by-step explanation:
Vectors are perpendicular when their dot product is zero.
A·B = p(4) +b(3) -3(-1) = 4p +3b +3
We want this to be zero, so ...
4p +3b +3 = 0
4p = -3b -3
p = -3/4b -3/4 . . . . the value of p that makes A⊥B
Consider f(x)=x+7 and g(x)=x^2-1 find (g of f)(x)
Answer:
g(f(x))=x^2 + 14x + 48
Step-by-step explanation:
you insert (x+7) into every x in the g(x) equation, so g(x)=(x+7)^2 - 1. then you simplify it by doing (x+7)(x+7) which gets you x^2 + 14x + 49. then you subtract the 1 from the equation to get g(f(x))=x^2 + 14x + 48.
(g o f) (x) = g ( f(x) )
= (x+7)² – 1
= x² + 14x+49 – 1
= x² + 14x+48
If you want, (f o g ) (x) below is the solution ^_^
(f o g ) (x) = f ( g(x) )
= g(x) + 7
= x²-1 +7
= x² +6
I hope I helped you^_^
the image Of A(a+2b,2a-b) when reflected in the line y=x is A'(b-a,4b-2a). Show that 3a=2b
Answer:
1vbrbdhrgdvsvdbbd
Step-by-step explanation:
bhegsbdvsvdvdbrbdbr
ddghehrhebfhfhrhd
ehebrnrjrjrnr
dvdbdbfbfbfbtnyn
PLS HELP!! Will give brainliest!
Angle AOC measures 84 degrees. Angle AOB = 3x and BOC is x
First, write the equation you would use to find the answer then find the value of x
Answer:
∠AOB + ∠BOC = ∠AOC we will be using this equation
x = 21 this is the value of x
Step-by-step explanation:
Angle AOC = 84
Angle AOB = 3x
Angle BOC = x
it is given that Angle AOC = 84so we just need to add Angle AOB and Angle BOC
now lets make the equation we that we will be using
∠AOB + ∠BOC = ∠AOC
3x + x = 84
4x = 84
x = 84 ÷ 4
x = 21
Step-by-step explanation:
Here, we have,
AOC=84°
AOB=3x
BOC=x
Now, the required equation will be;AOC=AOB+BOC[whole part axiom]
or, 84°=3x+x
or, 84°=4x
or, 84°÷4=x
or, x=21°
Thus, the equation to find the answer is AOC=AOB+BOC and the value of x is 21°.
Helppppp plzzzzzzz!!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!!
Answer:
slope is -1/25. This slope in context means that the car can drive 25 miles per gallon. the y int is 15. in context to the problem, the car started with 15 gallons in its tank.
Step-by-step explanation: