Pythagorean Theorem On Coordinate Systems-Independent Worksheet
Find the distance between all the points listed below
Help me people please
Answer: The distance between the points (3, 4) and (0, 0) is 5.
Step-by-step explanation: The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This theorem can be used to find the distance between two points in a coordinate system.
To find the distance between two points in a coordinate system, you can use the following steps:
Identify the coordinates of the two points.
Calculate the difference between the x-coordinates and the y-coordinates of the two points.
Use the Pythagorean Theorem to find the distance between the two points.
For example, to find the distance between the points (3, 4) and (0, 0), you would do the following:
Identify the coordinates of the two points: (3, 4) and (0, 0).
Calculate the difference between the x-coordinates and the y-coordinates of the two points: 3 - 0 = 3 for the x-coordinates and 4 - 0 = 4 for the y-coordinates.
Use the Pythagorean Theorem to find the distance between the two points: the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides, so the distance between the points is equal to the square root of 3^2 + 4^2 = 9 + 16 = 25 = 5.
Therefore, the distance between the points (3, 4) and (0, 0) is 5.
What is the largest possible product of two positive integers whose sum is 9?
Answer:
The largest possible product of two positive integers whose sum is 9 is achieved when the two integers are as far apart as possible, which occurs when one integer is the largest possible integer and the other is the smallest possible integer. The largest possible integer is the one that is closest to but less than 9, which is 8, and the smallest possible integer is 1. The product of 8 and 1 is 8, so the largest possible product of two positive integers whose sum is 9 is 8.
Add [tex]\frac{1}{3}[/tex]+4.1 Write your answer as a mixed number in simplest form.
Answer: It will be 4.433333333 as a decimal and 4 13/30 as a mixed number in simplest form
is 40 miles in 3 hours faster then 50 miles in 4 hours
Answer:
Step-by-step explanation:
To find which one is faster, it would be distance/speed.
40m/3 = 13.33 repeating
50m/4 = 12.5
You would be traveling faster at 40 miles in 3 hours since you are going at 13.33 miles per hour
You have $3456 in your account. You just earn interest for this period. You deposited $67 into your account from a yard sale you did. You withdrew some cash to buy a small tv for your kitchen. The Tv was listed for $155 and had a discount of 11% and a sales tax of 6% In the end you have a balance of $3618. What percent interest did you earn this period on your account?
Answer:
$7307
Step-by-step explanation:
you need to add them together okay got.
Given
f
(
x
)
=
−
5
x
+
2
f(x)=−5x+2, find
f
(
−
4
)
f(−4).
Answer: 22
Step-by-step explanation:
f(x) = -5x + 2
Substitute the x for -4
f(-4) = -5(-4) + 2
f(-4) = 20+2
f(-4) = 22
The length of the picture is mixed number six and three fourths inches. There should be a length of fraction one half inch of wood on either side of the picture. What is the total length of wood required? a 7 inches b the mixed number seven and three fourths inches c 8 inches d the mixed number eight and one half inches
Answer:
b) The mixed number seven and three fourths inches.
Step-by-step explanation:
Given:
Length of picture = 6³/₄ inMargin either side of the picture = ¹/₂ inTo find the total length of the wood, sum the length of the picture and two margins:
[tex]\implies \sf Total\;length=6\frac{3}{4}+\dfrac{1}{2}+\dfrac{1}{2}[/tex]
Two halves equal 1:
[tex]\implies \sf Total\;length= 6\frac{3}{4}+1[/tex]
When adding a mixed number to a whole number, simply add the whole numbers together:
[tex]\implies \sf Total\;length= (6+1)\frac{3}{4}[/tex]
[tex]\implies \sf Total\;length= 7\frac{3}{4}[/tex]
Therefore, the total length of the wood required is:
7³/₄ inchesHelp me plssssssssssssssssssss
Answer:
(2,0)
Step-by-step explanation:
5x + 9y = 10
4x -3y = 8 If I multiple this second equation all the way through by 3, then the y's would cancel out when I add the equations together.
12x -9y = 24 multiplied the second equation through by 3
5x + 9y = 10 Add the 2 equations together
17x = 34 Divide both sides by 14
x = 2
Plug 2 in for x for either of the two original equations and solve for y
5x + 9y = 10
5(2) + 9y = 10
10 + 9y = 10 Subtract 10 from both sides
9y = 0 Divide both sides by 0
y = 0
(2,0)
Ashley's hair grew 1 and 1/2 inches in 2 and 3/4 of a month. At what
Rate did ashley's hair grow per month?
Ashley's hair grew at a rate of approximately 0.545 inches per month.
What is the rate of change?
Rate of change problems can generally be approached using the formula R = D/T, or rate of change equals the distance traveled divided by the time it takes to do so.
To find the rate at which Ashley's hair grew per month, we need to divide the total amount of hair growth by the number of months.
First, let's convert the units to a common denominator. 1 and 1/2 inches is the same as 3/2 inches, and 2 and 3/4 months is the same as 11/4 months.
Now we can divide the total amount of hair growth (3/2 inches) by the number of months (11/4 months) to get the rate at which Ashley's hair grew per month:
(3/2 inches) / (11/4 months) = (3/2) * (4/11) inches/month
= 6/11 inches/month
= approximately 0.545 inches/month
Therefore, Ashley's hair grew at a rate of approximately 0.545 inches per month.
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pls help due now!!!!!!!!!
The correct option for the given linear equation condition is D. i.e. Liza will pass Ralph after 5 hours, and they each will have travelled 325 miles.
What is a linear equation?
When the parameter in the equation has a degree of 1, the system is said to be linear. One, two, or even more variables could be present.
The collection of two or more linear equations involving the same variables is known as a system of linear equations.
From the question,
The situation is given as:
y = 60x + 25
y = 65x
The time after Liza leaves, she passes Ralph will be
or, 65x = 60x + 25
or, 5x = 25
or, x = 5 hours
Then the distance covered by both of them, then after 5 hours will be
y = 65 (5)
y = 325 miles
Hence, the correct option is D.
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P(A) = 0.80, P(B) = 0.60. What is P(B | A)
Answer:
[tex]\sf P(B|A)=0.60[/tex]
Step-by-step explanation:
Given:
P(A) = 0.80P(B) = 0.60If events A and B are independent then:
[tex]\boxed{\begin{aligned} \sf P(A \cap B)&=\sf P(A)P(B)\\\sf P(A|B)&=\sf P(A)\\\sf P(B|A)&=\sf P(B)\end{aligned}}[/tex]
Therefore:
[tex]\implies \sf P(B|A)=P(B)=0.60[/tex]
Put the following equation in slope-intercept form:
y=1/5x + b
Answer: y=1/5x + b
Step-by-step explanation:
The slope intercept for the equation is y=mx +b
Your equation is already in the slope-intercept form!
What’s the value of r in the equation -4/3(r+3)= -2
Answer:
-4 = -6(r+3)
r+3 = 2/3
r = -1/2/3
20) In 28
A) 3.915
C) 4.295
B) 2.153
D) 3.332
Answer:
D
Step-by-step explanation:
Use a calculator to approximate [tex]\ln 28[/tex] to the nearest thousandth.
PLEASE HELP ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer: yes
Step-by-step explanation: there’s a pattern of 2, as we can see from the first equation. 5+2 is 7, so therefore the answer is yes.
sum of -7x² - 1 and x² - x - 5
Answer:
-6x²-x-6
Step-by-step explanation:
-7x²-1+x²-x-5
-6x²-1-x-5
-6x²-x-6
Graph the linear equation y = 2x + 1.
What is the minimum temperature?
STEM AND LEAF
I will appreciate your help!!
7) The minimum temperature is 31⁰F. So, the answer is option B.
What is stem and leaf plot?The frequency of various types of values can be easily observed using a stem and leaf plot, also known as a stem and leaf diagram. This graph displays numerical data that is arranged in chronological order. There is a stem and a leaf for each piece of data.
Each first or second digit of the data value is divided into a stem, and the last digit is represented by a leaf, in a stem and leaf plot, which is represented by a particular table. The stem and leaf plot key is the "|" symbol that is used to indicate the values of the stem and the leaf. In the case of 46, the stem is 4 and the leaf is 6.
7) The minimum value in the stem is 3
And the minimum value in the leaf is 1
So, according to the given key 4|3=43°F
Here | denotes the key symbol.
So, in this solution the minimum value of stem is 3 and the minimum value of leaf is 1
Therefore, it must be 3|1
Hence, from the given key
This can be written as 31⁰F
Therefore, the answer is option B.
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Bro someone help me with this math pls fast
Answer:
Step-by-step explanation:
Can You Please Send Me A Clearer Picture I Can Help
If 2x-18=-5 then what if x?
May someone explain this?
m<A = 112.5
m<B = 67.5
m<C = 67.5
m<D = 112.5
Consider the provided information.
The sum of all interior angle of a polygon is: (n-2)*180
Substitute n = 8.
(8-2)*180 = 1080
Thus, the measure of each angle is:
∠B and ∠C are congruent and their sum is 135°
∠B+∠C=135°
∠B=67.5°
Hence, the m angle B and m angle C is 67.5°.
The sum of all angles of a quadrilateral is 360°.
∠A+∠D+∠B+∠C=360°
∠A+∠D=360°-135°
∠A+∠D=225°
∠A and ∠D are congruent and their sum is 225°
∠A+∠D=225°
∠A=∠D=112.5°
Hence, the m angle A and m angle D is 112.5°.
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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
ƒ”(x)=6x, f'(-3)=20, ƒ(-3)=-5
f(x)=?
Answer:
f(x) = x^3 - 7x + 1
Step-by-step explanation:
ƒ”(x)=6x ==> ƒ”(x)=6 * (x^1)
f'(x)=6/(1+1) * x^(1+1) + C ==> C is a constant that doesn't affect the derivative
f'(x)=6/2 * x^2 + C ==> simplify the first derivative
f'(x)=3 * x^2 + C ==> f'(x)=3(x^2) + C
f'(-3)=3((-3)^2) + C ==> plug in -3 into the derivative equation
f'(-3)=3(9) + C ==> simplify
20=3(9) + C ==> plug in 20 for f'(-3)
20=27+C
20-27=27-27+C ==> solve for C
C=-7
f'(x)=3(x^2) + (-7) ==> plug in -7 for C
f'(x)=3(x^2) - 7 ==> simplify
f(x) = 3/(2+1) * x^(2+1) - 7x + C
f(x) = 3/3 * x^3 - 7x + C
f(x) = x^3 - 7x + C
f(-3) = (-3)^3 - 7(-3) + C ==> plug in -3 into f(x)
f(-3) = -27 - (-21) + C
f(-3) = -27 + 21 + C ==> simplify
f(-3) = -6 + C
-5 = -6 + C ==> plug in -5 for f(-3)
-5 + 6 = -6 + 6 + C ==> solve for C
C = 1 ==> simplify
f(x) = x^3 - 7x + 1
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S, P, T.
S, P, Y.
TP,x
TxY
Answer:
S , P , T
Step-by-step explanation:
collinear points are points that lie on the same line.
S , P , T lie on the same line and are therefore collinear
Answer:
SPT
Step-by-step explanation:
You also have XPY but that isn't a choice in your list. SPT goes in a straight line making it collinear
Solve the following matrix equations .
with full explanations and working please
The matrix equations are solved as
a) The value of matrix X is [tex]X = \begin{pmatrix}-2&0&4\end{pmatrix}[/tex]
b) The value of matrix X is [tex]X=\begin{pmatrix}-5&1\end{pmatrix}[/tex]
What is multiplication of matrices?
The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix
Given data ,
a)
Let the value of the matrix be X
Now , the equation is
[tex]2X = \begin{pmatrix}-4&0&8\end{pmatrix}[/tex]
Now , on simplifying the equation , we get
Divide by 2 on both sides of the equation , we get
[tex]X = \begin{pmatrix}-4&0&8\end{pmatrix} / 2[/tex]
Now , the value of matrix X is
[tex]X = \begin{pmatrix}-2&0&4\end{pmatrix}[/tex]
Therefore , the value of matrix X is [tex]X = \begin{pmatrix}-2&0&4\end{pmatrix}[/tex]
b)
Let the value of the matrix be X
Now , the equation is
[tex]3X\:-\:\begin{pmatrix}1&7\end{pmatrix}=\begin{pmatrix}-16&-4\end{pmatrix}[/tex]
On simplifying the equation , we get
Adding [tex]\begin{pmatrix}1&7\end{pmatrix}[/tex] on both sides of the equation , we get
[tex]3X=\begin{pmatrix}-16&-4\end{pmatrix}+\begin{pmatrix}1&7\end{pmatrix}[/tex]
Now , the value for 3X can be calculated as adding the 2 matrices
[tex]3X=\begin{pmatrix}-15&3\end{pmatrix}[/tex]
Divide by 3 on both sides of the equation , we get
[tex]X=\frac{1}{3}\begin{pmatrix}-15&3\end{pmatrix}[/tex]
So , [tex]X=\begin{pmatrix}-5&1\end{pmatrix}[/tex]
Therefore , the value of matrix X is [tex]X=\begin{pmatrix}-5&1\end{pmatrix}[/tex]
Hence , the matrix equations are solved as
a) The value of matrix X is [tex]X = \begin{pmatrix}-2&0&4\end{pmatrix}[/tex]
b) The value of matrix X is [tex]X=\begin{pmatrix}-5&1\end{pmatrix}[/tex]
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39 is 0.3% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 39, slightly less than 39, slightly greater than 39, or a lot greater than 39? Explain.
39 is 0.3% of 13,000.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the number be x
So, 0.3% of x= 39
0.3/ 100 x= 39
0.3 x = 3900
x= 3900/ 0.3
x= 13000
Hence, 39 is 0.3% of 13,000.
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Simplify the expression: 5x + 8 – 13y – 4x – 18 + 16y A. x + 3y – 10 B. x – 3y + 10 C. 3y + 10 D. x – 3y
Answer:
(A) x + 3y - 10
Step-by-step explanation:
Algebraic ExpressionsThis Questions tests on the concept of solving algebraic expressions.
Eg. 7x + 4y + 3y + 9x = 16x + 7y
(Note that BODMAS rule applies to algebraic expressions as well.)
SolutionGiven from the question:
5x + 8 - 13y - 4x - 18 + 16y
= 5x - 4x - 13y + 16y + 8 - 18 (Regroup the terms)
= x + 3y - 10 (A)
Please complete this Pythagorean Theorem page 50 points And I will give brainiest and thanks and invites.
Applying the Pythagorean theorem, the missing side of each of the right triangle are:
i. c = 15.8 m
ii. s = 24.1 cm
iii. a = 12.8 feet
iv. t = 4.6 inches
Pythagorean Theorem.Pythagorean theorem is one that can be used to determine the third unknown side of a right angled triangle. It is given by:
/Hyp/^2 = /Adj/^2 + /Opp/^2
The missing side of each of the right triangle can be determined as:
1. Let the value of unknown hypotenuse side by represented by c, so that:
/Hyp/^2 = /Adj/^2 + /Opp/^2
c^2 = /13/^2 + /9/^2
= 169 + 81
= 250
c = [tex]\sqrt{250}[/tex]
= 15.8
c = 15.8 m
2. Let the value of unknown hypotenuse side be represented by s, so that;
/Hyp/^2 = /Adj/^2 + /Opp/^2
s^2 = /16/^2 + /18/^2
= 256 + 324
= 580
s = [tex]\sqrt{580}[/tex]
= 24.1
s = 24.1 cm
3. Let the value of unknown adjacent side be represented by a,
/Hyp/^2 = /Adj/^2 + /Opp/^2
19^2 = a^2 + /14/^2
361 = a^2 + 196
a^2 = 361 - 196
= 165
a = [tex]\sqrt{165}[/tex]
= 12.8
a = 12.8 ft
4. Let the unknown adjacent side be represented by a,
/Hyp/^2 = /Adj/^2 + /Opp/^2
/11/^2 = t^2 + /10/^2
121 = t^2 + 100
t^2 = 121 - 100
= 21
t = [tex]\sqrt{21}[/tex]
= 4.6
t = 4.6 in
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what is y in the solution for the system of equations x+5y=17 and 6x-5y=-3
The answer for the equation is x = 1 , y = 3.
Solve the following system: using elimination:
x + 5 y = 17 | (equation 1)
6 x - 5 y = -3 | (equation 2)
Swap equation 1 with equation 2:
6 x - 5 y = -3 (equation 1)
x + 5 y = 17 (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
6 x - 5 y = -3 (equation 1)
0 x+(20 y)/3 = 20 (equation 2)
Multiply equation 2 by 3/20:
{6 x - 5 y = -9 | (equation 1)
{0 x+y = 3 | (equation 2)
Add 5 × (equation 2) to equation 1:
6 x+0 y = 6 (equation 1)
0 x+y = 3 | (equation 2)
Divide equation 1 by 6:
x+0 y = 1 | (equation 1)
0 x+y = 3 | (equation 2)
Collect results:
Answer: x = 1 , y = 3
What is equation?There are numerous ways in which one may define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign. The most basic and simple algebraic equations consist of one or more variables in math. A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.To learn more about linear equation refer to:
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Match each of the expressions to the right point.
Match each of the expressions to the right point:
[tex]-\sqrt{18}[/tex] = c
[tex]-\frac{17}{3}[/tex] = b
[tex]-2\pi[/tex] = a
Answer:
Given below in the picture
I hope my answer helps you.