Answer:
[tex]d = \sqrt{13}[/tex]
Step-by-step explanation:
Use the Distance Formula to help you determine the distance between the two following points:
-Distance Formula:
[tex]d = \sqrt{(x_{2} - x_{1})^2 + ( y_{2} - y_{1})^2}[/tex]
(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)
-Apply the two following points onto that equation:
[tex]d = \sqrt{(7 - 5)^2 + (6 - 3)^2}[/tex]
[tex](x_{1}, y_{1}) = (5, 3)[/tex]
[tex](x_{2}, y_{2}) = (7, 6)[/tex]
-Solve the equation:
[tex]d = \sqrt{(7 - 5)^2 + (6 - 3)^2}[/tex]
[tex]d = \sqrt{2^2 + 3^2}[/tex]
[tex]d = \sqrt{4 + 9}[/tex]
[tex]d = \sqrt{13}[/tex]
So therefore, the distance is [tex]\sqrt{13}[/tex].
Find the distance between each pair of points (-1,4) and (1,-1)
Answer:
d = [tex]\sqrt{29}[/tex]
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(1-(-1))^2+(-1-4)^2} \\d= \sqrt{(2)^2+(-5)^2} \\d= \sqrt{4+25} \\d=\sqrt{29}[/tex]
The distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that:
The distance between each pair of points (-1,4) and (1,-1)
Two points are (-1, 4) and (1, -1)
To find the distance between the above two points using the distance formula:
[tex]\rm d=\sqrt{(1-(-1))^2+(-1-4)^2}[/tex]
[tex]\rm d=\sqrt{(1+1)^2+(-1-4)^2}[/tex]
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division
d = √[(2)² + (-5)²]
d = √(4 + 25)
d = √29 units
Thus, the distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.
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Is the following number rational or irrational?
6 1/2
Answer:
yes it is a rational number
Step-by-step explanation:
if we convert the mixed fraction into an improper fraction, we will get:
6 1/2 = 13/2
Recall that the definition of an Rational number is that it can be expressed as a division of two integers.
in our case, the numerator is 13 (which is an integer) and the denominator is 2 (which is also an integer)
hence according to our definition it is a rational number
The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
The mixed fraction number is given below.
⇒ 6 1/2
Convert the mixed fraction number into the fraction number. Then we have
⇒ 6 1/2
⇒ 6 + 1/2
⇒ (12 + 1)/2
⇒ 13/2
Convert the fraction number into a decimal number. Then we have
⇒ 13/2
⇒ 6.5
The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.
More about the rational number link is given below.
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Y is the midpoint of line segment XZ. The coordinates
of Y are (1, 8) and the coordinates of X are (-10, –12).
What are the coordinates of Z?
Answer:
work is attached and shown
Which of these scales is equivalent to the scale 1 cm to 5 km? Select all that apply.
35 cm to 1 km
1 mm to 150 km
1 mm to 500 m
5 mm to 2.5 km
3 cm to 15 km
Answer:
E; 3cm to 15km
Step-by-step explanation:
1cm to 5km
NOT A:
35cm to 1km
×5
175cm to 5km
NOT B:
1mm to 150km
÷ 30
1/30mm to 5km
NOT C:
1mm to 500m
× 10
10mm to 5km
NOT D:
5mm to 2.5 km
× 2
10mm to 5km
E:
3cm to 15km
÷ 3
1cm to 5km
I am thinking of a number if you cut my number In half and multiply by 6 you get 150
Answer:
50
Step-by-step explanation:
Step 1:
(x ÷ 2) × 6 = 150
Step 2:
x ÷ 2 = 25
Answer:
x = 50
Hope This Helps :)
how do I do this :( I tried but I can’t figure out how to
Answer:
Step-by-step explanation: got you
slope 2/3
x | y
0 -1
2/3 0
Is compare 3 >,< or =
Is compare 4 >,< or =
Please help
Answer:
First one is <
Step-by-step explanation:
Second one is =
Find the endpoint of Segment AB, if A(2,5) and the midpoint is (0, 2).
Find the other end point!
Answer:
Step-by-step explanation:
(x + 2)/2 = 0
x + 2 = 0
x = -2
(y + 5)/2= 2
y + 5 = 4
y = -1
(-2, -1) the other endpoint
f(x) = x2. What is g(x)?
Answer:
I think ot a it been awhile sense I did algebra
can someone please solve this
Answer:
See below
Step-by-step explanation:
a) x² + 3x = x(x+3)b) 2x² - 8x = 2x(x -4)c) 6x + 9x³ = 3x(2 + 3x²)d) 12x³ - 4x² = 4x²(3x - 1)Which of the following is a figure consisting of two rays with the same endpoint? Angle Circle Line Vertex
Answer:Angle
Step-by-step explanation:
The angle is the figure consisting of two rays with the same endpoint option (A) angle is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called an "Angle."
It is given that
The figures are:
AngleCircleLineVertexAs we know the circle can be described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
From the definition of the angle; two lines or rays converge at the same point.
Thus, the angle is the figure consisting of two rays with the same endpoint option (A) angle is correct.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture
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Help me with Rational and Irrational!
Rational Numbers: Any number that can be expressed as a fraction or ratio that may contain repeating decimals, or terminating decimals.
Irrational Numbers: Any number that cannot be expressed as a fraction or ratio that has non-repeating non-terminating decimals.
With this information, sort the given values into one of each of these categories.
Cheers.
The table below shows two equations:
Equation 1 |2x - 3| + 5 = 4
Equation 2 15x + 31 – 10 = 3
Which statement is true about the solution to the two equations?
Answer:
First x=-2
Second x= -11.94
Step-by-step explanation:
1 |2x-3|+5=4
2x+3+5=4
2x+8=4
2x=-4
Divide by 2 for both parties
X = -2
Number 2
215x +31-10=3
215x+21=3
215x= -18
Divide by 215 on both sides
X= - 11.94
What is the domain of this function? (16, 1) (1, 5) (–13, –12) (18, 12)
If Adam orders a book from Store X, how much will he owe to the nearest cent? The tax rate only applies to the cost of
the book.
Comparison of Online Bookstores
Store X
$17.00
6%
Store Y
$18.00
8%
Cost of book
Tax rate
Shipping.
HELP FAST! ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST
10% of cost of the book
FREE
O $17.16
$19.72
$21.53
$27.20
Answer:
B) $19.72
Step-by-step explanation:
Sorry if I am late, hope you got a good grade:)
I got a 100 on the test for edge 2020
Answer:
B
Step-by-step explanation:
Which is greater, 11/16 or 24/32?
Answer:
24/32
Step-by-step explanation:
24/32 is the answer because:
1) We should first try to see if we can find a common denominator so it is easier to compare and find the larger number
2) The common denominator is 32 because 16 multiplied by 2 is 32 and 11 multiplied by 2 is 22. The new fraction is 22/32
3) Finally, compare 22/32 and 24/32, we know that 24 is bigger than 22. Therefore, 24/32 is greater than 11/16
Hope this helps!
Complete the following statement.
16/
= -8
16 / x = -8
First, let's divide both sides by x.
16 = -8x
Divide both sides by -8
-2 = x
16 / -2 = -8
Answer:
m = -2
Step-by-step explanation:
16 / m = -8
→ 16 = -8m
→ m = 16/-8
→ m = -2
A function f(x) is graphed.
What is the slope of the function?
m =
A.1
B.2
C.3
D.4
What is the y-intercept of the function?
b =
A.-2
B.-1
C.1
D.2
Which equation represents the graph of the function?
A.y=-x+2
B.y=x+2
C.y=2x+1
D.y=-2x+1
Answer:
B, C, C
Step-by-step explanation:
Find the square root of 784 using prime factorization.
Answer:
first check the smallest number that divide 784
i.e 2
784/2 = 392/2= 196/2 =98/2 =49/7=7
we get
748= 2*2*2*2*7*7
for square root take one out of 2 same number
square root of 784= 2*2*7 = 28
Answer:
28
Step-by-step explanation:
784=2×2×2×2×7×7⇒784 =2×2×7=28
URGENT!!! James has $40 to spend. He wants to buy two tickets to a show. He has to spend $7 to get to where tickets are sold. The following inequality can be used to find out the highest price James can afford to pay for each ticket. 2r +7 23.5 Or> 16.5
Answer: If James has 40 to spend then he has 33 for the two tickets he also has to get back so thats 26.
Step-by-step explanation:
Jasmine has 8 packs of candle wax to make scented candles. Each pack contains 14 oz of wax. Jasmine uses 7 oz to make one candle. How many candles can she make?
-14x+28+6x=-44 simplify.
To borrow $3,000 from the bank to buy first car the interest rate is 5% how muvh money will you owe the bank at the end of one year
Answer:
I=150
Step-by-step explanation:
I=Prt
I=3000(?)(?)
divide 5% by 100
I=3000(0.05)(?)
1 year= 1
I=3000(0.05)(1)
I=150
According to the question,
Principle,
P = 3000Interest rate,
r = 5% or 0.5Time,
t = 1 yearWe know that,
→ [tex]I = Prt[/tex]
By substituting the values, we get
[tex]= 3000\times 0.5\times 1[/tex]
[tex]= 150[/tex]
Thus the above approach is right.
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What are the new vertices of triangle QRS, shown, if the triangle is reflected across the line y = x, also shown? Question 6 options: A) Q′ = (–2,–3), R′ = (1,1), S′ = (2,–1) B) Q′ = (2,–4), R′ = (4,0), S′ = (3,–1) C) Q′ = (2,–5), R′ = (5,0), S′ = (2,–1) D) Q′ = (5,2), R′ = (0,5), S′ = (1,2)
Answer:
C
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , thus
Q(- 5, 2 ) → Q'(2, - 5 )
R(0, 5 ) → R'(5, 0 )
S(- 1, 2 ) → S'(2, - 1 )
The coordinates of the reflected point under a line y = x will be Q′ = (2,–5), R′ = (5,0), S′ = (2,–1).
What is a reflection of a point in coordinate geometry?The reflection of a point in coordinate geometry is the image formed concerning the x-axis, y-axis, or origin.
Under a reflection in the line y = x
A point (x, y ) has reflected point (- x, - y )
Thus,
The coordinates of the reflected point under a line y = x will be Q(- 5, 2 ) → Q'(2, - 5 )
The coordinates of the reflected point under a line y = x will be R(0, 5 ) → R'(5, 0 )
The coordinates of the reflected point under a line y = x will be S(- 1, 2 ) → S'(2, - 1 )
Thus, option C is the correct one.
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5x -5=50x + 13
Solve for x
Someone help !! These are Absolute values & integers !!
Answer:
4,9,12,24,5,5,1,11,9,9
Step-by-step explanation:
those are the anwsers, in order
+ × += +
+ × -= -
- × - =+
ok
like 2 +[-3]
ok + × - = -
ok
like you subtract it 2+ [-3]
2-3 = 1
HURRRYYYYYY Use the drawing tools to form the correct answer on the provided graph. y=-2/3x+1
Answer:
start on (0,1) and go up two and left three. keep going until you run out of room. then, draw a line through the points.
Step-by-step explanation:
thats how you with graph it :)
5x-2=8+5y solve for y
Answer:
y = x - 2
Step-by-step explanation:
8 + 5y = 5x - 2
5y = 5x -2 - 8
5y = 5x - 10
5y/5 = (5x - 10)/5
y = x - 2
The equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation is:
5x - 2 = 8 + 5y
The above equation represents the linear equation in one variable.
To solve for y make the subject as y
5y = 5x - 2 - 8
5y = 5x - 10
y = (5x - 10)/5
y = x - 2
Thus, the equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.
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Sarah's parents started a savings account for her when she was 12. The plan her parents chose earns 3.2% each year, and her parents initial deposit was $3500. How much will be in Sarah's savings account after 3 years when Sarah is ready to look for a car?
Answer:
$3846.87
Step-by-step explanation:
Assuming the interest is compounded annually, the value in 3 years is ...
FV = P(1 +r)^t
FV = $3500(1.032^3) ≈ $3846.87
Sarah's account will be worth about $3846.87.
please help I need help
Answer:
its option 3;92667
Step-by-step explanation:
6 and 8 is 68 so 9 2667 its 92667