What is the midpoint of AB?
The formula of a midpoint:
[tex]\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]
We have
[tex]A(-2,\ 5),\ B(3,\ -3)[/tex]
Substitute:
[tex]\dfrac{-2+3}{2}=\dfrac{1}{2}=0.5\\\\\dfrac{5+(-3)}{2}=\dfrac{2}{2}=1[/tex]
Answer: (0.5, 1).
Answer:
The midpoint of AB is (0.5,1).
Step-by-step explanation:
From the given graph it is clear that the vertices of the triangle ABC are A(-2,5), B(3,-3) and C(-4,-1).
If end points of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the midpoint of that segment is
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
We need to find the midpoint of AB.
[tex]Midpoint=(\frac{-2+3}{2},\frac{5+(-3)}{2})[/tex]
[tex]Midpoint=(\frac{1}{2},\frac{5-3}{2})[/tex]
On further simplification we get
[tex]Midpoint=(\frac{1}{2},\frac{2}{2})[/tex]
[tex]Midpoint=(0.5,1)[/tex]
Therefore the midpoint of AB is (0.5,1).
Are angles 2 and 5 vertical angles, linear pairs or neither? Thank you :)
Without more information or a diagram showing the arrangement of the angles, we can't accurately determine if angles 2 and 5 are vertical angles, linear pairs, or neither. Vertical angles are those opposite each other when lines intersect and are always equals, while a linear pair of angles add up to 180 degrees and share a vertex and a side.
Explanation:To determine if angles 2 and 5 are vertical angles, linear pairs, or neither, we need to know the positional arrangement of these angles.
Vertical angles are the angles opposite each other when two lines intersect. They are always equal in degree.
A linear pair of angles is formed when two angles add up to 180 degrees and they share a vertex and a side.
Without a diagram or more context, it's impossible to determine the relationship between angles 2 and 5. Please provide more information or a diagram to help identify the relationship between these angles.
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Which statement is true about a line and a point? (1 point)
Select one:
a. A point and a line have length as a dimension to measure.
b. A point is a location and a line has many points located on it.
c. A line and a point cannot lie on the same plane.
d. A line and a point cannot be collinear.
A go cart's top speed is 607,200 feet per hour. What is the speed in miles per hour?
Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as th\e winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received: x − 62,500 = 0.25y If a total of 125,000 people voted, how many votes did Maya receive? Do not enter comma for placeholder values. Numerical Answers Expected!
y is the total number of votes, which is given as 125,000
Replace Y in the equation and solve for x.
X - 62500 = 0.25(125000)
Simplify:
x - 62500 = 31250
Add 62500 to both sides:
X = 31250 + 62500
X = 93750
HELP I only need these two problems answered
2. Arturo can run 1 3/4 miles in 1/4 hour.
what is his speed in miles per hour?
How many miles can Arturo run in 3 hours
Formula d = vt
1 3/4= 1.75
1/4=0.25
So now plug into equation
To find v first to find per hr.
v = (1.75 miles) / (0.25 hrs) =
7 miles per hr
Distance per hr
d = (7 miles/hr)(1 hr) = 7 miles
In 3 hrs ?
d = (7 miles/hr)(3hr) = 21 miles
Please help on these questions and explain please!!
The median is 8 I beliwve because of the 12
How many solutions does the equation have? 5(n–2)=5n–10
A.) 1 solution
B.) no solutions
C.) many solutions
C) many solutions
But to be precise, there are INFINITELY many solutions.
[tex]5(n-2)=5n-10\\\\5n-10=5n-10\\\\0=0\\\\x\in\mathbb{R}[/tex]
The equation 5(n–2)=5n–10 has many solutions because any value of n will satisfy the equation as both sides of the equation match exactly.
Explanation:The equation given is 5(n–2)=5n–10. Let's solve this step-by-step.
Distribute 5 through the parentheses on the left side of the equation: 5n - 10 = 5n - 10. As you can see, both sides of the equation match exactly, meaning that any value for n will make the equation true.
So, the answer is C.) many solutions, because any value of n will satisfy this equation.
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can I get help please?
5b+4+10=-2
5b+4+10=-2
5b+14=-2
5b+14-14=-2-14 1) subtract 14 from both sides
5b=-16
5b/5=-16/5 2) divide by 5 on both sides
b=3 & 1/5
The answer is b = -3.2.
First, you have to add 4 and 10 together to get 14. Then, you subtract 14 from 14 and negative 2. You will get negative 16 because since the 2 is already a negative, you would just be adding two negatives. Next, the equation should look like this: 5b = -16. Now, you would divide by 5 on each side and your answer should be b = -3.2. Hope this helps!
What is triple the sum of 45 and 55
the answer is 300 because 55+45=100 and 100*3 is 300
What is triple the sum of 45 and 55
First, add 45 and 55
45 + 55 = 100
Next, triple the sum. Multiply 3 with the number gotten
3(100) = 300
300 is your answer
hope this helps
~Rise Above the Ordinary
Suppose you want to solve the following problem. 8 sandwich rolls cost $2.48, how much will 15 rolls cost? Wich os te following proportions will give the correct answer?
A) 2.48/15 = x/8
B) 8/2.48 = 15/x
C) 8/2.48 = x/15
D) 8/15 = 2.48/x
*there may be more than 1 correct answer*
Will mark brainliest!
Combine the like terms to create an equivalent expression:
−2x − x + 8
−2x − x + 8
Combine like terms:
-3x + 8
Hope it helps.
Answer:
-3x+8
Step-by-step explanation:
i need help plz help me with this
Answer:
Okay you are asking for the area of a circle ( drum head ) to find that is. You get R (radious) by dividing 14 by 2 and get 7
Step-by-step explanation:
A= πr^2
so what is the R? Its 7
Plug the numbers in and
and your answer is 153.94
I am very confused lol... So I'm doing a worksheet for Algebra 1 (highschool) and we're doing division and multiplication with fractions at the moment to review what we learned last year and I'm stuck. Right now I'm doing #1 and ended up getting 7 1\2... so I ended up doing this as my equation..
[tex]3 \frac{3}{4} \div \frac{1}{2} [/tex]I have no idea if I'm supposed to do division with this but I tried division and multiplication and got 7 1\2 Everytime I did it. And I know the answer is 1 7/8 cause I may have found a cheat sheet online but I still need to know how to do it. Anyways this is what I did:
[tex]3 \frac{3}{4} \div \frac{1}{2} [/tex]
[tex] \frac{15}{4} \times \frac{2}{1} = \frac{30}{4} [/tex]
[tex] \frac{30}{4} = \frac{15}{2} = 7 \frac{1}{2} [/tex]
I don't understand what I'm doing wrong lol.
OK first change 3 3/4 to an improper fraction and that will give you 15/4. so you got that part right. Next, change the division sign to multiplication. then flip the 1/2 to 2/1. Then multiply 15 times 2 and that will give you 30. Then multiply 4 times 1 and that will give you 4. then you will have an answer of 30/4. Finally, since you a have a big number over a small number you divide 30 by 4 and that will give you 7 1/2. So it turns out that your little cheat sheet is wrong because when you check your answer you should go on Math-way to check it. Also, a little background about me is that I am in 8th grade and I am taking algebra 1 too.
If Fernando paid $450 for a netbook that was 75% off the original price what was the original price?
The original price was 600 if i'm correct
whats the answer for -7x -3x+2= -8x-8
X=5
Add all the Xs together, then get it alone and there’s your anwser
Hope it helps ❤️
[tex]-10x+2=-8x-8[/tex] Combine Like Terms
[tex]-2x+2=-8[/tex] Add [tex]-8x[/tex] on both sides
[tex]-2x=-10[/tex] Subtract [tex]2[/tex] on both side
[tex]x=5[/tex] Divide [tex]-2[/tex] to [tex]-10[/tex]
*(Answer)*= [tex]x=5[/tex]
-16+(-28) adding a integer
-44 should be your answer. If you were solving for absolute value and the 28 was positive you would have about 12.
Edward Taylor purchased two shirts for $17.95 and $27.50, a jacket for $94.20, and two ties for $12.30 each. The state tax is 5 percent, the county tax is 1.5 percent, and the city tax is 2 percent. What is the total amount of tax on his purchases?
A. $14.65
B. $12.97
C. $13.96
D. $11.23
Total cost
17.95 + 27.50 + 94.20 + 12.30 + 12.30 = 164.25
tax
164.25 * 5% = 8.21
164.25 * 1.5% = 2.47
164.25 * 2% = 3.28
sum of the tax
8.21 + 2.47 +3.28 =
13.96
your answer is C
Final answer:
To find the total tax on Edward Taylor's purchases, sum the cost of all items ($164.25), multiply by the combined tax rate of 8.5% to get the total tax in dollars ($13.96125), and round to the nearest cent, resulting in $13.96. So, option C is correct.
Explanation:
To determine the total amount of tax on Edward Taylor's purchases, we need to sum up the cost of all items purchased and then calculate the combined sales tax. Edward bought two shirts for $17.95 and $27.50, a jacket for $94.20, and two ties at $12.30 each. Here are the steps taken:
Calculate the sum of the purchases: $(17.95 + 27.50 + 94.20 + 12.30 + 12.30) = $164.25.
Combine the tax rates: (state tax at 5% + county tax at 1.5% + city tax at 2%) = 8.5% total.
Convert the tax rate to a decimal: 8.5% = 0.085.
Multiply the total cost of purchases by the tax rate: $164.25 * 0.085 = $13.96125.
Round the tax to the nearest cent: $13.96.
Therefore, the total amount of tax on his purchases is $13.96. So, option C is correct.
Simplify the expressions
1a. 6y - 2y = 4y
1b. 6 - 7b + 7b + 3 + b
= 6 + 3 + b
= 9 + b
2a. 10a - 2 + 3 - a
= (10a - a) + (-2 + 3)
= 9a + 1
2b. m · 7 · m · m · m · m · 9
= (7 · 9) · (m · m · m · m · m)
[tex]=63m^{5}[/tex]
3a. 3 + 8(5a + 10)
= 3 + 40a + 80
= 40a + 83
3b. 6v - 8v + 4 + 6v
= (6v - 8v + 6v) + 4
= 4v + 4
4a. s · 1 · s · 3
= (1 · 3) · (s · s)
[tex]= 3s^{2}[/tex]
4b. 6k - 6k
= 0
5a. [tex]10y^{4} (y^{2} )[/tex]
= [tex]=10y^{6}[/tex]
5b. 10x + 7 - 5x
= (10x - 5x) + 7
= 5x + 7
6a. 1v - v + 7 + 9v
= (1v - v + 9v) + 7
= 9v + 7
6b. 6z - 5 + 5 - 6z
= (6z - 6z) + (-5 + 5)
= 0 + 0 = 0
7a. 9w + 5w
= 14w
7b. s · 2s · s · s · s · s
= 2 · (s · s · s · s · s · s)
[tex]= 2s^{6}[/tex]
A tank has 450 gallons of water. A pump is draining the tank at a rate of 50 gallons every minute. Represent the amount of water in the tank as a function of the amount of time the tank has been draining.
The function is y=450-50x.
What is the smallest 3-digit number that has 2, 3, and 7 among its prime factors?
Answer: 126
Step-by-step explanation: You would just find the LCM (2, 3, 7) and get 42. But since you need a 3-digit number, list the multiples of 42, like so: 42, 84, 126, 168, 210...
As you can see, 126 is the smallest 3-digit number that has 2, 3, and 7 among its prime factors.
The smallest 3-digit number that has 2, 3, and 7 among its prime factors is 126.
Explanation:
The smallest 3-digit number that has 2, 3, and 7 as its prime factors can be calculated by multiplying the prime factors together. In this case, it's 2 x 3 x 7, which equals 42. This is a 2-digit number, but we're looking for
3-digit
number. The next multiple of 42 (42 x 3) gives us 126, which is a 3-digit number. So, the
smallest 3-digit
number that has 2, 3, and 7 as its prime factors is
126
.
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The points (0, 1), (1, 5), (2, 25), (3, 125) are on the graph of a function. Which equation represents that function? f(x) = 2x f(x) = 3x f(x) = 4x f(x) = 5x
Answer:
Option D is the correct answer.
Explanation:
The points (0, 1), (1, 5), (2, 25), (3, 125) are on the graph of a function.
We need to find f(x)
Checking each options.
a) f(x) = [tex]2^x[/tex]
For (0,1)
f(0) = [tex]2^0=1[/tex]
For (1,5)
f(1) = [tex]2^1=2[/tex], given that f(1) = 5, so option A is wrong.
b) f(x) = [tex]3^x[/tex]
For (0,1)
f(0) = [tex]3^0=1[/tex]
For (1,5)
f(1) = [tex]2^1=3[/tex], given that f(1) = 5, so option B is wrong.
c) f(x) = [tex]4^x[/tex]
For (0,1)
f(0) = [tex]4^0=1[/tex]
For (1,5)
f(1) = [tex]4^1=4[/tex], given that f(1) = 5, so option C is wrong.
d) f(x) = [tex]5^x[/tex]
For (0,1)
f(0) = [tex]5^0=1[/tex]
For (1,5)
f(1) = [tex]5^1=5[/tex]
For (2,25)
f(2) = [tex]5^2=25[/tex]
For (3,125)
f(3) = [tex]5^3=125[/tex]
So all values are satisfied Option D is the correct answer.
the largest alligator ever caught in Mississippi weighed 727 pounds?
The answer is false. The alligator caught in Mississippi actually weighed 766.5 pounds.
The largest alligator ever recorded and taken in the state of Mississippi weighed 727 pounds. This is an exceptional case, as alligators usually weigh less.
Explanation:Yes, the largest alligator ever recorded and caught in the state of Mississippi weighed 727 pounds. This monumental creature stands as a testament to the potential size that members of the alligator species can achieve under optimal conditions. It's always imperative to understand that different species have varied weight standards, and this is no exception when it comes to alligators. While 727 pounds may seem extraordinarily large, it's important to note that it is an extreme and not the norm for the species.
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Gabriel needs d more dollars to buy a new video console that coast $156.75. He has saved $98.26. Solve the equation $98.26 + d = $156.75 to find out how much more money Gabriel needs.
Just subtract 98.26 from 156.75. It equals $58.49.
you can use subtraction by doing 156.75 minus 98.26 when you do that the amount he still needs is 58.49
Stu wants to join a gym. Fit-Place charges a $135 startup fee and then $35 per month. The Factory has no startup fee but charges $60 per month. Create a table showing the total cost for the first 8 months. Determine the month at which the total cost is the same.
I don't know the answer use a calculater
Answer:
Fit-Place charges a $135 startup fee and then $35 per month.
Means the cost here will be based on the equation : [tex]135+35x[/tex] where x is the number of months.
The Factory has no startup fee but charges $60 per month. Here the equation will be [tex]60x[/tex], where x is the number of months.
Table ;
Months 1 2 3 4 5 6 7 8
Fit-Place 170 205 240 275 310 345 380 415
The Factory 60 120 180 240 300 360 420 480
The total cost will be same in:
[tex]60x=135+35x[/tex]
=> [tex]60x-35x=135[/tex]
=> [tex]25x=135[/tex]
x = 5.4 rounded to 5 months.
Now we can see that the total cost will be same in almost 5 months.
10x=-80
I could us some hlp
10x = -80
Note the equal sign. What you do to one side, you do to the other.
Divide 10 from both sides
10x/10 = -80/10
x = -80/10
x = -8
-8 is your answer for x
---------------------------------------------------------------------------------------------------------------------
~Rise Above the Ordinary, Senpai
answer: x = -8
work:
you're working to solve for x.
this means you want to isolate x, and get it alone.
to do so, divide both sides by 10 to get rid of the 10.
once you divide both sides by 10, x is on its own, and you have the solution to your equation, x = -8!
to check your work you can plug the value for x into the original equation and solve.
10(-8) = -80
-80 = -80
so we can verify this is in fact correct.
i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom
a quantity plus 6. Write in algerbraic expression
Let "a quantity" = x
the quantity is being "[added] to 6"
x + 6 is your algebraic expression.
hope this helps
~Rise Above the Ordinary
The quantity which is unknown can be represented as a variable such as x or any other letter. The plus 6 can be represented by +6. So the final answer is x+6. Hope this helps!
find a counter example to following bad definition: a square has four right angles
a flat figure with 4 equal straight sides and four right angles
Answer: Hello there!
We want to find a counterexample to: "a square has four right angles" then we need to find a figure that has four right angles and is not a square.
A first example can be a cross (two segments that cut each other and are perpendicular), but let's think in a geometric shape.
Think on a square that in the middle of each side has a small semicircle; this shape still has four right angles but is not more a square.
There you have two counterexamples of the definition given.
How much longer is a 1 inch button than a 3 over 8 inch button
Subtract.
1 - 3/8 = 5/8
18x^2-2 factor completely
The factored form of [tex]\(18x^2 - 2\)[/tex] is [tex]\({2(3x - 1)(3x + 1)}\)[/tex].
To factor the expression [tex]\(18x^2 - 2\)[/tex] completely, we first notice that [tex](18x^2\))[/tex] and [tex]\(2\)[/tex] share a common factor of [tex]\(2\)[/tex]. We can factor out this common factor to simplify the expression:
[tex]\[18x^2 - 2 = 2(9x^2 - 1)\][/tex]
Now, we recognize that [tex]\(9x^2 - 1\)[/tex] is a difference of squares. It can be factored as [tex]\((3x)^2 - 1^2\)[/tex], which follows the pattern [tex]\((a^2 - b^2) = (a - b)(a + b)\)[/tex].
So, applying this pattern, we have:
[tex]\[9x^2 - 1 = (3x)^2 - 1^2 = (3x - 1)(3x + 1)\][/tex]
Therefore, the expression \(18x^2 - 2\) factors completely as:
[tex]\[18x^2 - 2 = 2(9x^2 - 1) = 2(3x - 1)(3x + 1)\][/tex]