Answers
Answer:
[tex]d=4\sqrt{5}[/tex]
Step-by-step explanation:
Write down both endpoint coordinate points:
[tex](-5,-3)(-1,5)[/tex]
Use the distance formula:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\\\(x_{1},y_{1})(x_{2},y_{2})[/tex]
Insert values:
[tex]d=\sqrt{(-1-(-5))^2+(5-(-3))^2} \\\\d=\sqrt{(-1+5)^2+(5+3)^2}[/tex]
Simplify parentheses:
[tex]d=\sqrt{(4)^2+(8)^2}[/tex]
Simplify exponents:
[tex]d=\sqrt{16+64}[/tex]
Add:
[tex]d=\sqrt{80}[/tex]
Find the square root. Find multiples of 80 that are perfect squares:
[tex]16*5=80\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5} \\\\[/tex]
[tex]d=4\sqrt{5}\\\\d=8.94427190...[/tex]
:Done
Related Questions
If f(x) = 1/2x^2 - (1/4x +3), what is the value of
f(8)?
Answers
Answer:
27
Step-by-step explanation:
If [tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex], then the value of [tex]f(8)[/tex] is [tex]f(8) = \frac{-93}{4480}[/tex].
What is Quadratic Equation?A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of [tex]ax^{2} + bx + c = 0[/tex], where [tex]a,b,c[/tex] are the real numbers.
We have
[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
According to Quadratic Equation,
[tex]f(x)=ax^{2} +bx+c[/tex]
And we have,
[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
So,
[tex]f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
i.e. putting [tex]x=8[/tex],
[tex]f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}[/tex]
[tex]f(8) = \frac{1}{128} - \frac{1}{35}[/tex]
Solving the above part,
[tex]f(8) = \frac{ 35-128 }{ 128*35 }[/tex]
[tex]f(8) = \frac{-93}{4480}[/tex]
Hence, we can say that value of [tex]f(8) = \frac{-93}{4480}[/tex] .
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What is the answer to 2 + -1/3 =
Answers
Geometry: The Expression 15×x×6 represents the volume of a rectangular prism with a length of 15, a width of x, and a height of 6. Simplify the expression.
1) 21x
2) 90x
3) 21/x
4) 90/x
Answers
Step-by-step explanation:
[tex]15 \times x \times 6 \\ \ \\ = 15 \times 6 \times x = 90x[/tex]
You and two friends buy snacks for a field trip. Using the
information given in the table, determine the price per pound for mixed nuts,
granola, and dried fruit.
Answers
Answer:
13.15
Step-by-step explanation:
Which of the following statements about rational numbers is false?
A. Every natural is a whole number, integer, and a rational number.
B. Every integer is a rational number.
C. A natural number is also a whole number.
D. Every rational number is also an integer
Answers
Answer:
D. Every rational number is also an integer
Step-by-step explanation:
Some rational numbers are integers, but not all of them
On a Cartesian plane, the horizontal axis is called the _______ -axis and the vertical axis is called the _______-axis.
Answers
Answer:
Step-by-step explanation:
horizontal = x-axis
vertical = y-axis
Hope this helps!
Answer:
Horizontal: X-axis; Vertical: Y-axis
Step-by-step explanation:
ASAP HELP NOW FOR BRAINLIEST
Answers
Answer: 18 miles per hour
Step-by-step explanation: The equation shows the slope as 18. This means that the unit rate per hour (t = number of hours) is 18/1.
find the solution to following system using substitution or elimination
y = -x + 10
y = 7x + 2
A. (1,9)
B. ( 3/2 , 17/2)
C. (9,65)
D. (1, -1/7)
Answers
Answer:
the answer is (1,9)
Step-by-step explanation:
if I would have 160$ and was discounted by 75 percent and if used a PROMO CODE and it gave me 10 percent off how much would I have
Answers
Answer:
10 percant off how much would i have
B
1
N
4
5
5
(4x+6)
(5x -5)
7
00
0
A
С
(3x + 8)
The value of x is
and the length of the base is
Answers
Answer: (2x + 3) • (x-1)
Step-by-step explanation:
1 Pull out like factors :
4x + 6 = 2 • (2x + 3)
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
(5x - 5) = 5 • (x - 1)
what is the volume of a regular octahedron inside a cube with the length of its sides measuring 4 centimeters
Answers
Answer:
We conclude that the volume of a regular octahedron will be:
[tex]\:\:V\:\approx \:30.17[/tex] cmStep-by-step explanation:
Given
The length of one of the side or edge of a regular octahedron = a = 4 cm
To determine
The volume of a regular octahedron = V
Using the formula to determine the volume of a regular octahedron
[tex]V\:=\:\frac{\sqrt{2}}{3}a^3[/tex]
substituting a = 4 in the volume equation
[tex]V=\frac{\sqrt{2}\cdot \:4^3}{3}[/tex]
[tex]V=\frac{64\sqrt{2}}{3}[/tex] ∵ 4³ = 64
[tex]\:\:V\:\approx \:30.17[/tex] cm
Therefore, we conclude that the volume of a regular octahedron will be:
[tex]\:\:V\:\approx \:30.17[/tex] cm60 students want lemonade and 16 students want iced tea. What is the ratio of the number of students who want iced tea to the number of students who want lemonade?
Answers
Answer:
16:60 = 4/15
Step-by-step explanation:
Which statement is true about the value of |-5|? It is the distance that -5 is form 0 on the number line. It is the distance that -5 from 5 on the number line. It is less than 5. It is greater than 5.
Answers
Answer: It is the distance that -5 is form 0 on the number line
Step-by-step explanation:
We can define the absolute value of any number:
IxI as:
"The distance between the point x and the origin in the coordinate axis"
If we are in one dimension, x is just a value, and the coordinate axis will be a number line.
Then we could rewrite this as:
"is the distance between the value x and the 0 in the number line"
So:
IxI = x if x > 0
IxI = -x if x < 0.
Then:
I -5 I
Is the distance between the number -5, and the 0 in the number line, and this is:
I - 5 I = 5.
The correct option is:
"It is the distance that -5 is form 0 on the number line"
Answer:
Answer: It is the distance that -5 is form 0 on the number line
Step-by-step explanation:
Rob is saving money for a down payment on a house. He opens a savings account at his local bank and deposits $1000. He models his savings plan with the equation y=400x+1000
based on his current income and monthly savings rate. What is the meaning of the y-intercept in the equation?
Answers
Answer:
x=-5/2
Step-by-step explanation
y=0
0=400x=1000 divide both sides
x=-5/2
Answer:
The Answer is D: Starting amount in his savings account
Step-by-step explanation:
The y-intercept represents the starting amount in his savings account.
x = 0 for the y-intercept.
y = 400x + 1000
y = 400(0) + 1000
y = 1000
Find the total cost of buying a product that cost $12 if it is 25% off. DO NOT PUT A $. Only numbers.
Answers
Answer:
the answer will be 9 dollars
Explanation:
The discount of 25% off means you save 0.25*12 = 3 dollars, meaning the final cost is 12-3 = 9 dollars.
Or you can think of it like this: if you save 25%, then you still pay the remaining 75%. So 0.75*12 = 9 dollars is the total cost.
I need help!! ASAP!!
Answers
Answer:your answer is c
Step-by-step explanation:if you want to be friends we can just friend me
what is the answer to 36 divided by 48
Answers
Answer:
0.75
Step-by-step explanation:
Answer: 36 = dividend
48 = divisor or if ur doing other way 0.75
Step-by-step explanation:
thank yaal for answerin ;)
Answers
Answer:
B is the answer
Step-by-step explanation:
Rigid motion they don't change shape or size just move around.
if I have 130 of something and I need 200 how many more do I need
Answers
Answer:
70
Step-by-step explanation:
200 - 130
How many choices are in the sample space of drawing a club out of a deck of 52 cards?
A. 13 choices
B. 52 choices
C. 26 choices
D. 12 choices
Answers
Answer:
A. 13
Step-by-step explanation:
Which is a qualitative graph?
Answers
Step-by-step explanation:
Qualitative graphs are graphs that are used to represent situations that do not necessarily have numerical values. Qualitative graphs represent the essential elements of a situation in a graphical form. For example, Graph A could represent a car that is accelerating at a constant rate.
Therefore, the "Second graph" is the qualitative graph.
Learn more:
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Terri has 5 boxes of flower seeds.She wants to give the seeds away to her friends.If she gives 1/8 of a box to each. person, How many people can she give seeds to.
Answers
Answer:
40 people
Step-by-step explanation:
simply divide 1/8 from 5 which is 40
5/ 1/8 = 40
A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?
Answers
Answer:
A:y=3x-10
Step-by-step explanation: the rise and run is 6/2 and the y intercept is -10
Which is the value of the expression when x=-2 and y =-3
Answers
Answer:
-720
Step-by-step explanation:
10x^3y^2 If x = -2 and y = -3
10 * (-2^3) * (-3^2)
10 * (-8) * (9) = -720
Answer:
A.) -720
Step-by-step explanation:
10x^3y^2
10 times x^3 times y^2
x = -2
y = -3
10 times (-2)^3 times (-3)^2
-2^3 = -2 x -2 x -2 = -8
-3^2 = -3 x -3 = 9
-8 x 9 = -72
10 x -72 = -720
Identify all values in the five number summary and create a box plot for the data set below.
You can upload your 5 number summary and box plot in the last question or provide a link to your work in the text box.
14, 13, 16,16, 18, 20, 22, 19, 23, 24, 24, 26, 27, 28, 30, 32
Answers
Answer:
12345
Step-by-step explanation:
give me a brainliest plees
Answer:
you can create your box plot from the following answers
a) minimum = 13
b) first quartile = 17
c) median = 22.5
d) third quartile = 26.5
e) maximum = 32
e) interquartile range = 26.5 - 17 = 9.5
Step-by-step explanation:
minimum and maximum values are self-explanatory
first quartile is derived by getting the median of the lower half of data (the median will divide the data into the lower half and the upper half)
third quartile is derived by getting the median of the upper half of data
the median is sometimes referred to as the second quartile
box plots are all about quartiles so that you can see where 25% of the data reside, or 50% or 75%, etc
e - i = 5
e + 3i = 9
e value =
i value =
What is the answer
Answers
Answer:
e value = 6
i value = 1
Step-by-step explanation:
The system of equation are;
e - i = 5...(1)
e + 3·i = 9...(2)
Making e the subject of equations (1) and substituting the value of e equation (2) gives;
From equation (1), e - i = 5, we have, e = 5 + i
Substituting the value of e in equation (2), e + 3·i = 9 gives;
e + 3·i = (5 + i) + 3·i = 5 + 4·i = 9
4·i = 9 - 5 = 4
i = 4/4 = 1
i = 1
From e = 5 + i, we have;
e = 5 + i = 5 + 1 = 6
e = 6
Therefore;
e value = 6
i value = 1
Given f of x equals 6 1 minus x , what is the value of f of negative 6 ?
Answers
Answer:
answer will be 67
Step-by-step explanation:
f(x) = 61 - x
x = -6
hence we substitute the value of x in f(x)
f(-6) = 61 - (-6)
= 61 + 6
= 67
The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The function is given below.
f(x) = 6(1 - x)
The value of the function at x = -6 will be given as,
f(-6) = 6[1 - (-6)]
Simplify the equation, then we have
f(-6) = 6[1 - (-6)]
f(-6) = 6(1 + 6)
f(-6) = 6 × 7
f(-6) = 42
The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.
More about the function link is given below.
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What is the value of x?
Enter your answer in the box
Answers
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Step-by-step explanation:
The first person to answer my questions wins a brainlist IF THERE RIGHT. alright
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
This riddle relies on tricking you into thinking about ears and a mouth. You get a tiny hint about wind to encourage you to think broadly and avoid the literal.
Answers
Answer:
An Echo
Step-by-step explanation:
The mural of your school mascot is $4$ feet by $12$ feet and is to be completely framed using a single row of square tiles each $2$ inches on an edge. If the tiles are $\$0.10$ each, find the cost, in dollars, of the tiles needed to frame the mural.
Answers
Answer:
$19.2
Step-by-step explanation:
The school mascot is rectangular in nature.
Perimeter P = 2(L+W)
L is the length = 4feet
W is the width = 12 feet
Perimeter = 2(4+12)
Perimeter = 2(16)
Perimeter = 32 feet
Convert to inches
12in = 1feet
x = 32 feet
Cross multiply
x = 12 * 32
x = 384in
Hence the perimeter of the school mascot is 384in
If it is to be completely framed using a single row of square tiles each 2inches on an edge
2 inches = 1 tiles
384inches = y tiles
Cross multiply
2y = 384
y = 384/2
y = 192 tiles
The number of tiles needed is 192 tiles
Get the cost of 192tiles
If the tiles are $0.10 each. 192 tiles will cost 192 * 0.1 = $19.2
Hence the cost of the tiles needed is $19.2