[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad Q(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{[-1 - 5]^2 + [-1 - 7]^2}\implies PQ=\sqrt{(-6)^2 + (-8)^2} \\\\\\ PQ=\sqrt{36+64}\implies PQ=10[/tex]
Follow the steps to simplify this expression.
2x(2 + 1) – 3(x + 3)
1. Distribute 2x and –3 through the parentheses:
2. Find each product:
3. Combine like terms.
2x(2) + 2x(1) −3(x) − 3(3)
4x + 2x − 3x − 9
What is the simplified expression?
Answer:
3x - 9
Step-by-step explanation:
We already have the expression 4x + 2x − 3x − 9. Now, we just have to add like-terms. This will give us 3x - 9.
Step-by-step explanation:
2x(2)+2x(1)-3(x)-3(3)
4x+2x- 3x-9
since they are of same like terms we add them
=3x - 9
true or false each triangular face has the same base and height
Graph the following features: Y-intercept = 3 Slope 4/3
Answer:
Y = 4/3x + 3
Step-by-step explanation:
Hi, I am not sure if you want me to grah this or not. However, I have still provided you with the formula for this line.
im doing an i ready test and i am very lost and confuse .
Answer: Ok
Step-by-step explanation:
Step-by-step explanation:
what are y'all doing so sad I can relate
Enter the value of x that makes the equation −11(x + 4) + 10x = 27 true
Answer:
x = - 71
Step-by-step explanation:
-11x -44 + 10 x =27
-x = 71
x = - 71
Answer:
-71
Step-by-step explanation:
You can first distribute the numbers in the parenthesis.
-11x-44 (-11*x-11*4)
-11x-44+10x=27
You can now combine like terms.
-11x+10x=-1x
-1x-44=27
This is now a two-step equation problem.
-1x-44=27
+44=+44
-1x=71
[tex]\frac{-1x}{-1}[/tex] =[tex]\frac{71}{-1}[/tex]
x=-71
The perimeter of a rectangular garden is 264 m.
If the width of the garden is 56 m, what is its length?
Length of the garden:__m
Step-by-step explanation:
Perimeter of garden = 264 m
width of the garden = 56 m
length of the garden = ?
Now..
Perimeter = 2 ( l + b )
264m = 2l + 112
264 - 112 = 2l
152 = 2l
l = 152 / 2
l = 76 m
Hence the length is 76m
[tex]...[/tex]
How many places do you need to move the decimal to the left to write the number below in scientific notation 120,000,000
Answer:
9
Step-by-step explanation:
1.2 * 10 (9) You need to move it 9 places to the left
In a class test of 15 questions, (+4) marks are given for every correct answer, (– 2) marks are
given for every incorrect answer and 0 marks are given for questions that are not attempted. Punit
scored (– 2) marks. If he answered 3 questions correctly, how many did he get wrong? How many
questions did he not attempt?
If he answered 3 questions correctly, then the number of questions is got wrong is 7 and the number of questions that he did not attempt is 5.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
In a class test of 15 questions, (+4) marks are given for every correct answer, (– 2) marks are given for every incorrect answer, and 0 marks are given for questions that are not attempted. Punit scored (– 2) marks.
If he answered 3 questions correctly, then the number of the question are got wrong and the number of the question that he did not attempt.
Let x be the correct question and y be the incorrect question, z be the number of questions that he did not attempt, and A be the number of the total score. Then we have
4x – 2z = A
x + y + z = 15
If A = -2 and x = 3, then we have
4 × 3 – 2z = -2
12 + 2 = 2z
z = 7
Then the value of y will be
3 + y + 7 = 15
y = 5
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A walker has travelled 9 km along a trail. If he has completed 80% of the trail, how much further does he still have to go
Answer:
2.25km
Step-by-step explanation:
Calculate the total distance:
9km/ 0.80 x 100% = 11.25km
The walker has travelled 9km, so
11.25km - 9km = 2.25km left
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
your answer is 9
Step-by-step explanation:
3+3/4+5+1/4
3+5=8
3/4+1/4=4/4
4/4=1/1
1/1=1
8+1=9
9 miles
Convert the rectangular equation to polar form. X2 y2 = 64
The polar form of the equation represents all the points with a distance of 8 from the origin, which is a circumference with a radius of 8, centered on the origin.
What is the polar form of the equation?The polar form is represented with the aid of polar coordinates of real and imaginary numbers in the coordinate system.
The horizontal and the vertical axis of the polar form denote the real axis and the imaginary axis, respectively.
The given equation to polar form is;
[tex]\rm x^2+y^2=64[/tex]
Using the formulae that link Cartesian to Polar coordinates.
x = rcosθ and y = rsinθ
Substitute these values into the equation.
[tex]\rm x^2+y^2=64\\\\(rcos\theta)^2+(rsin\theta)^2=64\\\\r^2cos^2\theta +r^2sin^2\theta =64\\\\r^2(cos\theta^2+sin\theta^2)=64\\\\Where ; \ sin^2\theta + cos^2\theta=1\\\\r^2(1)=64\\\\ r^2=8^2\\\\r=8[/tex]
Hence, the polar form of the equation represents all the points with a distance of 8 from the origin, which is a circumference with a radius of 8, centered on the origin.
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Someone help me solve just these two questions
Answer:
(0.173)¹¹(0.87)²Step-by-step explanation:
Q1
(0.173)⁹ × (0.173)² When two terms with equal bases with different powers are multiplied, it is equal to the base with the sum of the powers(0.173)⁹⁺² (0.173)¹¹Q2
0.87⁵/0.87³When two terms with equal bases with different powers are divided, it is equal to the base with the difference of the powers(0.87)⁵⁻³(0.87)²At a sale this week, a desk is being sold for 128.80. This is a 72% discount from the original price. What is the original price?
Answer:
$460
Step-by-step explanation:
If the 128.80 is the price of the desk after a 72% discount, it means that 128.80 is 100-72=28% of the original price.
From here, we can divide 128.80 by 28 to find what 1% of the price is then multiply the value by 100 to find 100%, or the original price.
128.80/28 = 4.6
4.6 x 100 = 460
Original price = $460
Hope this helped!
NEED HELP ASAP, What is the angle of rotation from ARST TO AR'ST? Assume that the center of rotation is the origin.
A. 180° clockwise
B. 90° clockwise
C. 90° counterclockwise
D. 270° counterclockwise
Answer:
c if not d
Step-by-step explanation:
Which expression is equivalent to P/6 +(q+8)
Yolanda went to get her car fixed. It cost $50 for the art and $200 for each hour the mechanic worked on it. If the mechanic worked on the car for 5 hours, what would be the total cost.
Answer:
1050
Step-by-step explanation:
just add 200 x 5 then add 50 its simple
I WILL MARK BRAINLIEST
Answer:D.6
Step-by-step explanation:
just divide
state the dimensions of the matrix. identify the indicated element
The dimensions of the matrix are 3 by 3 i.e. 3 x 3, and the indicated element a₂₃ is -7
The dimension of the matrix?From the figure in the question, we have the following highlights:
The matrix has 3 rowsThe matrix has 3 columnsThe dimensions of a matrix are represented by: Row by column
Hence, the dimensions of the matrix are 3 by 3
The indicated elementThis is given as:
a₂₃
This means that the element is located at the second row and the third column.
The element at this position is -7
Hence, the indicated element is -7
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WILL GIVE BRAINLIST TO BEST ANSWER
Determine whenever each statement about the scatter plot is true or false
The plot shows an outlier value when the time studied is equal to 75 minutes
Answer:False
Step-by-step explanation:
math problem can somebody help!!!!
Answer:
if am correct your answer will be letter d
Step-by-step explanation:
simplify the following radical expression
Answer:
[tex]2\sqrt{6} -13\sqrt{3} +4\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{24} -5\sqrt{12} +4\sqrt{2} -3\sqrt{3}[/tex]
[tex]=\sqrt{4\times 6} -5\sqrt{4\times 3} +4\sqrt{2} -3\sqrt{3}[/tex]
[tex]=\sqrt{4} \times \sqrt{6} -5\times\sqrt{4} \times \sqrt{3} +4\sqrt{2} -3\sqrt{3}[/tex]
[tex]=2\sqrt{6} -5\times2\sqrt{3} +4\sqrt{2} -3\sqrt{3}[/tex]
[tex]=2\sqrt{6} -10\sqrt{3} +4\sqrt{2} -3\sqrt{3}[/tex]
[tex]=2\sqrt{6} -13\sqrt{3} +4\sqrt{2}[/tex]
Answer:
[tex] \boxed{ \tt 2 \sqrt{6} - 13 \sqrt{3 } + 4 \sqrt{2} }[/tex]
or
[tex] \boxed{ \tt \approx - 12.1}[/tex]
Step-by-step explanation:
Simplify:
[tex] = \tt \sqrt{ {2}^{2} \times 6} −5 \sqrt{12} +4√2−3√3[/tex]
[tex] = \tt \: 2 \sqrt{6} - 5 \sqrt{12} + 4 \sqrt{2 } - 3 \sqrt{3} [/tex]
[tex] = \tt2 \sqrt{6} - \sqrt{ {2}^{2} \times 3} + 4 \sqrt{2} - 3 \sqrt{3} [/tex]
[tex] = \tt \: 2√6−5(2√3)+4√2−3√3[/tex]
[tex] \tt = 2√6−10√3+4√2−3√3[/tex]
[tex] \tt = 2 \sqrt{6} - 13 \sqrt{3 } + 4 \sqrt{2} [/tex]
[tex] \tt \approx \: - 12.1[/tex]
[tex] \rule{225pt}{2pt}[/tex]
i need help on question 8 ....
Answer:
8a - 6b
You have to substitute in you other numbers:
a = 4 and b = 3
Your new equation would be:
8(4) - 6(3)
Now solve:
8 x 4 = 32
6 x 3 = 18
New problem:
32 - 18
= 14
So your answer is 14.
Step-by-step explanation:
Hope this helps!
From your neighborhood softie :)
In numbering pages of a book, a printer used 3289 digits. How many pages were in the book, assuming the first page of the book was number 1? Justify your answer. (b) Find the number of digits the printer will need for a book with n pages, for any positive integer n. Write this function of n as simple a form you can.
The number of the pages in the book if the first page will be numbered as 1 will be 1099 pages. And if the number of the pages is n then the function is shown below.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
In numbering pages of a book, a printer used 3289 digits.
Then the number of the pages in the book if the first page will be numbered as 1.
One digit number = 1 - 9 = 9 digits
Two digit number = 10 - 99 = 2 x 90 = 180 digits
Three digit number = 100 - 999 = 3 x 900 = 2700 digits
Then the total number of the digit is used will be
→ 9 + 180 + 2700
→ 2889
The number of the remaining digits will be
→ 3289 - 2889
→ 400
Then the four-digit number will be
→ 400/4
→ 100
Then the total number of the pages will be
Total pages = 9 + 90 + 900 + 100
Total pages = 1099
If n pages are there, then the number of the digits are required will be
[tex]\left\{\begin{matrix}n, & 1\leq n\leq 9 \\9+(n-9)2, & 10\leq n\leq 99 \\189+(n-9)3, & 100\leq n\leq 999 \\. & . \\. & . \\\end{matrix}\right.[/tex]
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Explain the difference between a unit rate and a percentage
Answer:
Ratio is the proportion between two numbers.
Percent is the ratio times 100.
Rate is the change of a number per unit time.
Step-by-step explanation:
1.A rate refers to the frequency by which a certain event happens while a ratio refers to the relationship between the size, number, or degree of two or more things.
2.A rate is a comparison between two measurements of the same units while a ratio is the proportion of one thing to another.
3.A rate refers to the fixed quantity of two things while a ratio refers to the relationship between various things.
4.A ratio indicates the difference between things while a rate indicates the changes in their measurements or units.
5.A ratio is indicated by the quotient of one quantity divided by the other while a rate is indicated by the comparison between two things.
Hope it helped ! Have a nice day
It took Vaughn 3 hours to drive to his sisters house. He took the same route on the way back home, but this time the trip took 2.5 hours. If Vaughn drove 10 mph faster on his return trip, how fast did he drive on his way to his sisters house?
The speed to his sister house is 50mph.
What is Speed?The speed of an object is the magnitude of the rate of change of its position with time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.
Here, let the speed of his sisters house be x mph.
then, 3x = 2.5(x+10)
3x = 2.5x + 25
3x - 2.5x = 25
0.5x = 25
x = 25 / 0.5
x = 50
Thus, The speed to his sister house is 50mph.
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If f(x) = 2x2 1, what is f(x) when x = 3? 1 7 13 19
In the given expression ( f(x) = 2x² + 1 ) when when ( x = 3 ), the value of f(x) is 19.
Hence D)19 Is the correct answer.
What is an Equation?An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given that;
f(x) = 2x² + 1, what is (fx) when x = 3
We substitute 3 for x in the equation
f(x) = 2(3)² + 1
f(x) = 2(9) + 1
f(x) = 18 + 1
f(x) = 19
In the given expression ( f(x) = 2x² + 1 ) when when ( x = 3 ), the value of f(x) is 19.
Hence D)19 Is the correct answer.
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Answer:
19
Step-by-step explanation:
did the test on edge
Use the method of symmetry to find the extreme value of each quadratic function and the value of x for which it occurs.
f(x)=(x-3)(x+8
a) x-intercepts are _________
b) midpoint of the x-intercepts is ___________
c) the extreme value is _______________
d) f(_) = ______________
Answer:
See belowStep-by-step explanation:
The x-intercepts are the points with y- coordinate of 0
(x - 3)(x + 8) = 0x - 3 = 0 or x + 8 = 0x = 3 or x = - 8a) x-intercepts are
3 and - 8b) midpoint of x-intercepts is
(3 - 8)/2 = - 5/2 = - 2.5c) The extheme value has x- coordinate of - 2.5 and y- coordinate
(-2.5 - 3)(- 2.5 + 8) = (-5.5)(5.5) = - 30.25d) f(- 2.5) = - 30.25
Answer:
[tex]\sf a) \quad x = -8 \:\:and \:\:x = 3[/tex]
[tex]\sf b) \quad \left(-\dfrac{5}{2},0\right)[/tex]
[tex]\sf c) \quad \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)[/tex]
[tex]\sf d) \quad f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}[/tex]
Step-by-step explanation:
Part (a)
The x-intercepts are the x-values when the curve crosses the x-axis, so when the function is equal to zero:
[tex]\implies f(x)=0[/tex]
[tex]\implies (x-3)(x+8)=0[/tex]
Therefore:
[tex](x-3)=0 \implies x=3[/tex]
[tex](x+8)=0 \implies x=-8[/tex]
Therefore, the x-intercepts are x = -8 and x = 3
Part (b)
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]
[tex]\sf \implies Midpoint=\left(\dfrac{-8+3}{2},\dfrac{0+0}{2}\right)=\left(-\dfrac{5}{2},0\right)[/tex]
Therefore, the midpoint of the x-intercepts is (-5/2, 0)
Part (c)
The extreme value is the vertex. The vertex is:
the minimum point if the parabola opens upwardsthe maximum point if the parabola open downwardsThe x-coordinate of the vertex is the x-value of the midpoint of the x-intercepts. Therefore, the x-value of the extreme value is x = -5/2.
To find the y-coordinate, substitute this into the given equation:
[tex]\implies \sf y=\left(-\dfrac{5}{2}-3\right)\left(-\dfrac{5}{2}+8\right)=-\dfrac{121}{4}[/tex]
Therefore, the extreme value is:
[tex]\sf \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)[/tex]
Part (d)
The function in vertex form is:
[tex]\sf f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}[/tex]
[tex]\begin{aligned}\implies \sf f\left(-\dfrac{5}{2}\right)& = \sf \left(-\dfrac{5}{2}+\dfrac{5}{2}\right)^2-\dfrac{121}{4}\\\\ & = \sf 0 -\dfrac{121}{4}\\\\ & = \sf -\dfrac{121}{4} \end{aligned}[/tex]
Help me find the figure , area formula and the area
Answer:
We are given a length of 27 cm and a width of 16 cm and we can also see that our figure is a rectangle. This means that we are able to use the area formula for the rectangle which is [tex]A=l*w[/tex].
Therefore, we can just multiply 27 cm by 16 cm and we get [tex]A = 432\ cm^2[/tex]
Hope this helps! Let me know if you have any questions
find the missing angles.
Answer:
1. 37 degrees, 2. 39 degrees, 3. 27 degrees
Step-by-step explanation:
You look at the total angle and subtract it by the angle that is given in the question since the two angles should add up to the whole angle of both. You should look at the number that is outside the angles and subtract it by the angle number inside then you will get the missing angles. The last one it is showing a 90 degree angle which is formed so you subtract 63 from 90.
A number cube is rolled. Identify the probability of getting 1 or 6 as a fraction, as a decimal to the nearest hundredth, and as a percent to the nearest whole percent.
1/3, 0.33, 30%
1/3, 0.33, 33%
2/3, 0.33, 30%
2/3, 0.67, 67%
Answer: The second option, 1/3, 0.33, 33%
Step-by-step explanation:
We will put the number of wanted outcomes over the number of total outcomes. 1 and 6 is two wanted outcomes.
2 / 6 = 1/3
Now, 1/3 is equal to 0.33. A decimal multiplied by 100 is a percent, so it is also equal to 33%. Your answer is:
1/3, 0.33, 33%