Answer:
1. an ordered pair is a pair or numbers in a specific order. It's a set of points.
2. The x-value is always first in an ordered pair, y-value second
3. The distance between the points is 5 units
Step-by-step explanation:
1. For example, (x,y)
2. no explanation needed
3.You can find the distance of two points by using the distance formula [tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]. To find the distance between (4,3) and (4,-2), we can plug the points into the distance equation. When solved, we get d=5, so the distance between the two points is 5 units.
hope this helps! please give brainliest!!
An ordered pair is a pair of values. The order in which the values appear is very important, since (x, y) is a whole different thing from (y, x).
The first in an ordered pair is the x-value, since mathematics usually goes by the order of the alphabet: a before b, and x before y.
The distance between two points in a coordinate plane is [tex]d = \sqrt{(x1 - x2)^2 + (y1 - y2)^2}[/tex], which is the distance formula.
The distance between (4, 3) and (4, -2)...
d = [tex]\sqrt{(4 - 4)^2 + (3 - (-2))^2}[/tex] = [tex]\sqrt{0^2 + 5^2}[/tex] = [tex]\sqrt{5^2}[/tex] = plus or minus 5.
Since distance can't be negative, the distance between the coordinates is 5 units.
Hope this helps!Which number is an irrational number?
Answer:
[tex]\boxed{\sqrt[3]{16} }[/tex]
Step-by-step explanation:
=> [tex]\sqrt[3]{16}[/tex] is an irrational number because it cannot be written as the form [tex]\frac{p}{q}[/tex] which is the basic requirement of being a rational number.
=> [tex]\sqrt{100}[/tex] = 10 (A rational number because it's a whole number)
=> 1/8 (Rational as it is in the form p/q)
=> -2.2675 (Rational because it is an integer)
Answer:
[tex]\boxed{\sqrt[3]{16} }[/tex]
Step-by-step explanation:
An irrational number cannot be expressed in the form p/q, where p and q are whole integers.
[tex]\sqrt{100} =10[/tex]
[tex]\frac{1}{8} =0.125[/tex]
[tex]-2.2675= - \frac{907}{400}[/tex]
[tex]\sqrt[3]{16} \approx 2.51984209979... \neq \frac{p}{q}[/tex]
[tex]\sqrt[3]{16}[/tex] is an irrational number.
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.
(8,6); perpendicular to 2x - y = 4
(a) Write the equation of the line in slope-intercept form.
Answer:
y = -[tex]\frac{1}{2}[/tex]x + 10
Step-by-step explanation:
To find the equation of a line that passes through the point (8,6) and perpendicular to the equation 2x - y = 4, we will follow the steps below:
first write the equation 2x - y = 4 in a standard form
we will find the slope of our equation using this equation
2x - y = 4
y = 2x -4
comparing the above with
y = mx + c
m = 2
[tex]m_{1}[/tex][tex]m_{2}[/tex] = -1 ( slope of perpendicular equations)
2[tex]m_{2}[/tex] = -1
[tex]m_{2}[/tex] = -1/2
our slope m = -1/2
We can now go ahead and form our equation
[tex]x_{1}[/tex] =8 [tex]y_{1}[/tex] =6
y-[tex]y_{1}[/tex] = m (x-[tex]x_{1}[/tex])
y-6 = -[tex]\frac{1}{2}[/tex](x-8)
y-6 = -[tex]\frac{1}{2}[/tex]x + 4
y= -[tex]\frac{1}{2}[/tex]x+4+6
y = -[tex]\frac{1}{2}[/tex]x + 10
Find the correct algebraic representation of the rotation shown below.
a. (y, -x)
b. (-x, -y)
c. (-y, x)
d. (y, x)
Answer:
-y, x
Step-by-step explanation:
x values go from negative to positive and the y values remain negative
A cylinder has a volume of 675.1 cubic centimeters. The diameter of the cylinder is 10 cm. What is the height of the cylinder? (Assume = 3.14)
Answer:
8.6 cm
Step-by-step explanation:
V=pi r-squared h
diameter of 10 means radius of 5
675.1=3.14x5x5xh
675.1=78.5h
8.6
Which of the following is a like radical to 3 square root 7x
Answer:
A: 4(\root(3)(7x))
Step-by-step explanation:
Just took the test answer above is wrong this one is right.
.swag.
Answer: A
Step-by-step explanation: tis A. edge 2023 :)
help me with this question ;<;
Let's set this up in equation form!
We know that 15 equals b and 8 together.
15 = b + 8
b = 7
The value of b that makes the equation true is 7.
Hope this helps!! :)
graph y= - x - 6 on a graph
Answer:
(Picture below)
Step-by-step explanation:
To solve this you will first need to make a coordinate plane that is 10 by 10.
After you have done that you will need to know what slope intercept form is. Slope intercept form is [tex]y=mx+b[/tex] and the equation that was given was [tex]y=-x-6[/tex]. In the formula [tex]y=mx+b[/tex], [tex]m[/tex] is the slope or rise over run and b is where the line crosses the y axis.
Now that you know the basics of slope intercept form we can start graphing. so b in this equation is -6, so we will put the first point on -6. after we have done that we can start putting the points of the line. So since the slope is just -1x we will have to go down one and go to the right one about 3 times and just to finish it up go up and left on 3 times to. And there you have it.
Write an equation in slope-intercept form for the line that satisfies the following condition.
passes through (8, 10), parallel to the graph of y = x +7.
Select one:
Answer:
y=8/3x-34/3
Step-by-step explanation: If the line is parallel to y=8/3x+7, then the slope must be 8/3. So, we can eliminate A and B. Now, let's take C, and plug in (8, 10) into the equation. We end up with 10=64/3-34/3. 64-34=30. 30/3=10. 10 = 10. So, C is the correct answer. No need to check for D.
Hi, guys whoever can help me with this question and give me the right answer, I will award brainliest. Please give answer fast. Find the value of X
Answer:
X= 65
Step-by-step explanation:
180°-50°=130 (Angles on a straight line)
2x=130 ( Corrresponding Angle)
X= 130÷ 2
= 65
Hope this helps.
Answer:
x = 65Step-by-step explanation:
In the bottom corner to find 2x you have to make an equation. So 180 - 50 = 130. 130 has the equal angle as 2x.
180 - 50 = 130
2x = 130
Simplify by dividing
2x = 130
/2 /2
x = 65help me plz on this i just need the answer Use the given parent function f(x)=|x| to graph g(x)=|x|+5. Use the ray tool and select two points to graph each ray.
Answer:
no
Step-by-step explanation:
the answer is no because the quantum formula states that a quantum state is a mathematical entity that provides a probability distribution for the outcomes of each possible measurement on a system. Quantum states that cannot be written as a mixture of other states are called pure quantum states, while all other states are called mixed quantum states.
Use the graph to find the value of y = sin q for the value of q.
Answer:
c
Step-by-step explanation:
IDK what to put up here any more so imma copy-paste this
Answer:
its 3 units.
Step-by-step explanation:
Answer: 3 units
Step-by-step explanation:
Points A and B have the same y value. Thus, subtract the x-values from each other to get 5 - 2 = 3.
Hope it helps <3
HELP ASAP!!! Alex bought a notebook containing 96 pages, and numbered them from 1 through 192. Bob tore out 25 pages of Alex’s notebook, and added the 50 numbers he found on the pages. Could Bob have gotten 2012 as the sum? Show your logic steps on how you draw your conclusion.
=====================================================
Explanation:
Page 1 is labeled with 1 and 2, which sum to 1+2 = 3
Page 2 is labeled with 3 and 4 which sum to 3+4 = 7
Page 3 is labeled with 5 and 6 which sum to 5+6 = 11
and so on until we reach
Page 96 is labeled with 191 and 192, which sum to 191+192 = 383
Note how each page has an odd page number label and an even number label (odd on the front side; even on the back side). Adding any odd number to an even number will result in an odd number. We can prove it as such
x = some odd number = 2m+1, m is any integer
y = some even number = 2n, n is an integer
x+y = 2m+1+2n = 2(m+n)+1 = some other odd integer because it is in the form 2p+1 with p = m+n as an integer
This explains why the results 3,7,11,..,383 are all odd.
------------------------
So we effectively have this set of values {3,7,11,...,383}. This is an arithmetic sequence with 3 as the first term and 4 as the common difference.
If we add two odd numbers together, we get an even number (proof is similar to one shown above)
odd + odd = even
But if we add in another odd number, then we'll go back to an odd result
odd + odd + odd = odd
If we have an odd number of odd numbers added up, then the result will be odd. In this case, we're adding 25 values from the set {3,7,11,...,383}. The value 25 is odd, so we have an odd number of values from {3,7,11,...,383} being added up. Therefore, the result Bob will get will always be odd. There is no way to get a sum of 2012 because this value is even.
WILL GIVE BRAINLIEST George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w. A rectangle labeled Dog run has a length of 30 feet and width of (30 minus x) feet. How many feet of fencing will George need for the dog run? 22 feet 68 feet 76 feet 82 feet
Answer:
b68
Step-by-step explanation:
Answer:
68 FEET
Step-by-step explanation:
B pls give me brainliest
if jonny have 3x6 dish sope how much do he have
Answer:
3x6 dish soap = 18 dish soap
Step-by-step explanation:
Answer:
18 dish soaps
Step-by-step explanation:
Jonny has 3x6 dish soaps which is equal to 18 because if he has 3 rows and 6 columns and you multiply that you will get 18 dish soaps
Pls solve and explain
Answer:
4950 potholes in 6 weeks, estimated is 4800.
Step-by-step explanation:
To estimate, let's round 825 to the nearest 100th - 800.
Now we multiply 800 times 6 to find our estimate.
[tex]800\cdot 6 = 4800[/tex]
If we know that the road repair crew can fix 825 potholes PER WEEK, we can set up a proportion to find how many they can do in 6 weeks.
[tex]\frac{825}{1} = \frac{x}{6}[/tex]
Let's cross multiply to find the value of x.
[tex]825\cdot6=4950\\4950\div1=4950[/tex]
So the repair crew can fix 4950 potholes in 6 weeks.
4950 is pretty close to 4800, so our exact answer should be correct.
Hope this helped!
Answer:
the answer is 4950
Step-by-step explanation:
Because the ratio would be 825:1 and if you times the 1 by 6. it would give you 6 and do the same to the other side with 825 that would give you 4950. hope you like my answer.
Find the critical numbers for f(x)=cos(x)+sin^2(x) on the interval [0,2pi]
Answer:
Step-by-step explanation:
Rad [0,2[tex]\pi[/tex]]
f(x)=cos(x)+sin²(x)=cos(x)+1-cos²(x)
--[cos(x)-1/2]²+5/4=f(x)
when cos(x)=1/2,the f(x) has Max=5/4
cos(x)=1/2,x=[tex]\pi[/tex]/3(Rad) or 60°(Deg)
Find what x equals: |3x–1|=4
Answer:
x = 5/3 x = -1
Step-by-step explanation:
|3x–1|=4
The solution to an absolute value equation has a positive and a negative solution
3x-1 =4 3x-1 = -4
Add 1 to each side
3x-1+1 = 4+1 3x-1+1 = -4+1
3x =5 3x = -3
Divide by 3
3x/3 = 5/3 3x/3 = -3/3
x = 5/3 x = -1
Answer:
x=1 2/3,x=-1
Step-by-step explanation:
There are two solutions. In the first solution, 3x=4-1=4 so x=1 2/3
The second solution is when 3x-1 equals negative 4 but because of the absolute value, is positive 4. In this case, it would be x=-1
Juan is making a model out of rhombi. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall and 4 inches wide.
What is the value of the expression
Answer:
6
Step-by-step explanation:
2(7)-(-4)/3
(14+4)/3
18/3
=6
If it's right can i get brainliest.
Answer:
D) 6
Step-by-step explanation:
Plug in the values of a & b
[tex]\frac{/2a/-b}{3}= \frac{/2*7/-[-4]}{3}\\\\=\frac{/14/ + 4}{3}\\\\=\frac{14+4}[3}\\\\=\frac{18}{3}\\\\=6[/tex]
is x=-3 a function plz respond in one minute
Answer:
x = -3 is not a function because, for one thing, its graph does not pass the vertical line test.
Step-by-step explanation:
if the edges of the base of a rectangular prism are 8 cm and 6 cm, and the diagonal is 10√2, what is the volume of the solid?
Answer:
221.12 cm^3
Step-by-step explanation:
Imagine that you have the 6cm side of the prism base facing you, and that you cut the prism in half through the vertex. Doing this will form two triangles. The hypotenuse of the triangle is the same as the "diagonal" that is 10√2 cm. The base of this triangle is half of the 6" side, or 3 cm.
Use the Pythagorean Theorem to determine the height (h) of the prism:
h^2 + 3^2 = (10√2)^2, or
h^2 = 200-9 = 191
Then the height is √191 cm
and the base area is 6cm times 8 cm, or 48 cm^2
and so we end up with the volume V = (1/3)(base area)(height), or
V = (1/3)(48 cm^2)(√191 cm), or
roughly 221.12 cm^3
suppose f(x)=x^3 find the graph of f(x+3)
Replace x with x+3:
f(x+3) = (x+3)²
which is x² translated 3 units left
Let f(x) = 5x + 4 and g(x) = −2x + 1. Find the indicated value f(6)+g(-8) plz help quickly
Answer:
The answer is 51
Step-by-step explanation:
f(x) = 5x + 4
g(x) = −2x + 1
To find f(6)+g(-8) first find f(6) and g(-8) and add them
For f(6) we have
f(6) = 5(6) + 4
= 30 + 4
= 34
For g(-8)
g(-8) = - 2(-8) + 1
= 16 + 1
= 17
So we have
f(6)+g(-8) is
34 + 17
= 51
Hope this helps you
HELP ME THE ANSWER IS NOT 36 OR 12 DO THE RSM ANSWER!!! Three generous friends, each with some cash, redistribute their money as follows: Ami gives enough money to Jan and Toy to double the amount that each has. Jan then gives enough to Ami and Toy to double their amounts. Finally, Toy gives Ami and Jan enough to double their amounts. If Toy has $36 when they begin and $36 when they end, what is the total amount that all three friends have?
Answer:
$252
Step-by-step explanation:
Let the initial amount of money Ami, Jan and Toy have initially be A, J and T respectively.
Please see attached picture for full solution.
Answer:
$252
Step-by-step explanation:
Step 1Toy has $36 and gets $36 from Ami. Now he has $36*2= $72
Step 2Toy gets $72 from Jan to double his money and now has $72*2= $144
Step 3Toy gives enough money to Ami and Jan to double their money
Toy has $36 at the end, so he has given $144 - $36= $108 to Ami and Jan
Since he doubles their money by giving $108, they now have
$108*2= $216Now we add the amount Toy has at the end to the amount Ami and Jan have at the end to get final amount:
$216+$36= $252So the friends have $252The price, t, of a lawn mower at Turf Cutters is $240 less than twice the price, d, of the same lawn mower at Lawn Masters. The difference in price between the mower at Turf Cutters and Lawn Masters is $320. Which system of equations can be used to determine the price of the mower at each store? A. t - 2d = -240 t - d = 320 B. 2t - 2d = 240 t + d = 320 C. 2t - d = 240 t - d = -320 D. t - 2d = -240 t - d = -320
Answer: A. t - 2d = -240 t - d = 320
Step-by-step explanation:
Let t be the price of a lawn mower at Turf Cutters and d be the price of the same lawn mower at Lawn Masters.
As per given , we have
The price, t, of a lawn mower at Turf Cutters is $240 less than twice the price, d, of the same lawn mower at Lawn Masters.
[tex]2d-240=t\\\\\Rightarrow\ t-2d=-240 ...(i)[/tex]
The difference in price between the mower at Turf Cutters and Lawn Masters is $320.
[tex]t-d=320 ...(ii)[/tex]
So, the system of equations can be used to determine the price of the mower at each store is
[tex]t-2d=-240\\\\t-d=320[/tex]
Hence, the correct option is "A."
In which quadrant does the point (-23 , -10) lie? A. Quadrant II B. Quadrant IV C. Quadrant III D. Quadrant I
Answer:
C.Quadrant III
EXPLANATION:
IN THIRD QUADRANT THAT'S WHERE -NEGATIVE COORDINATES LIE
Please help me with this geometry question :((
Answer:
95
Step-by-step explanation:
GH = SR
SR = 30
FG =TS
TS = 39
104-39 =65
30+65 =95
Solve the system using elimination 7x+2y=10 -7x+y=-16
Answer:
x=2, y=-2
Step-by-step explanation:
7x+2y=10
-7x+y=-16
-------------------
0x + 3y = -6
Divide each side
3y/3 = -6/3
y = -2
Now find x
7x +2y = 10
7x + 2( -2) = 10
7x -4 = 10
Add 4 to each side
7x -4+4 = 10+4
7x= 14
Divide by 7
7x/7 = 14/7
x = 2
Since one equation has a 7x and and the other equation has a -7x,
when we add the equations together, the x's will cancel out.
So we have 3y = -6 and y = -2.
To find x, plug -2 back in for y in either of the two original equations.
I've chosen to plug -2 into the first equation to get 7x + 2(-2) = 10.
Solving from here, x = 2.
So our final answer is the ordered pair (2, -2).
Now, check your answer.
Find the constant of variation k for the direct variation
2x + y = 0
Answer:
2
Step-by-step explanation:
The constant of variation is 2 because the variable is x, and its coefficient, 2, is the constant of variation.