Answer:
[tex]d=2\sqrt{17}\approx8.2462[/tex]
Step-by-step explanation:
To find the distance between two points, use the distance formula.
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (3,-4) be x₁ and y₁ and let (5,4) be x₂ and y₂. Therefore:
[tex]d=\sqrt{(5-3)^2+(4--4)^2[/tex]
Simplify:
[tex]d=\sqrt{(2)^2+(8)^2[/tex]
Square:
[tex]d=\sqrt{4+64}[/tex]
Add:
[tex]d=\sqrt{68}[/tex]
Simplify:
[tex]d=\sqrt{4\cdot17}=\sqrt4\cdot\sqrt{17}[/tex]
Simplify:
[tex]d=2\sqrt{17}\approx8.2462[/tex]
Answer:
[tex]\boxed{2\sqrt{17}}[/tex]
Step-by-step explanation:
To find the distance between two points, we use the distance formula. The distance formula is:
[tex]\boxed{d=\sqrt{(x_{2}-x_{1})^{2}+({y_{2}-y_{1})^{2}}}}[/tex]
Therefore, we can label our coordinate pairs and solve for d.
Because we are given two coordinate pairs, we will follow the standard naming system for coordinate pairs. This is [tex](x_{1}, y_{1}) \text \: {and} \: (x_{2}, y_{2})[/tex]. Therefore, we can implement the distance formula and solve.
[tex]\sqrt{(5-3)^{2}+(4-(-4))^{2}}\\\\\sqrt{(2)^{2}+(8)^{2}}\\\\\sqrt{4 + 64} \\\\\sqrt{68} \\\\\boxed{2\sqrt{17} }[/tex]
5. Given y = -1/2x + 10, determine if -2x +2y = 20 is parallel, perpendicular, or neither.
Answer:
Neither
Step-by-step explanation:
-2x+2y=20
First, you need to transfer the [-2x+2y=20] equation to slope intercept form. First, get the y variable on one side by subtracting -2x from the left side.
So then you have
2y= 2x+20
Then you divide the 2 from the y on BOTH side
y= x+10
Now compare the slope of both equations
y= -1/2x+10 (slope= -1/2)
y=x+10 (slope= 1)
Since the parallel slope to -1/2 is the same slope
Since the perpendicular slope to -1/2 is equal to 2/1 or 2,
Neither of them work
Simplify when it is possible. 10x² -y + x² =
Answer:
11x² - y
Step-by-step explanation:
Step 1: Write out expression
10x² - y + x²
Step 2: Combine like terms
11x² - y
That is simplest form.
Answer:
[tex]\huge \boxed{11x^2-y}[/tex]
Step-by-step explanation:
[tex]10x^2 -y + x^2[/tex]
Grouping like terms.
[tex](10x^2 + x^2)-y[/tex]
Combining like terms.
[tex](11x^2)-y[/tex]
Find the measure of the arc.
A
146°
E
mBC =[ ? ]
Answer:
124
Step-by-step explanation:
we are given 146 right away.
That little square means a 90 degree angle
146 + 90 = 236
360 - 236 = 124
(360 degrees is the sum of a complete circle.)
The measure of the arc (ABC) is 270 degree.
What is an angle?In plane geometry, an angle is a shape made up of two rays or lines with the same terminal.
Angle can be used to measure any angular rotational motion since it cannot be measured in terms of length parameters like metres or inches. Instead, it is measured as an angle in terms of degrees or radians.
As we know that the angle of complete rotation is 360°.
So, ∠ADC + ∠ABC = 360
We know ∠ADC = 90°
Then, ∠ABC = 360° - 90°
∠ABC = 270°
Learn more about Angle here:
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What is a sum of 24 and a quotient of 3
Answer:
32
Step-by-step explanation:
Assuming this interpretation is correct:
24 and a quotient of 3 will lead to 8
And the sum of 24 and 8 is 32.
Cheers.
There are many answers to this question.
For example:12+2=24 and 12/4=3.
Solve inequalities and I'll do the graphing
15. x>7 Some of them are unslovable
16. n≥−5
17. G>5
18. k≤1
19.−2<b≤6
20. −8<m<−3
21. unslovable
22. −9<x<4
23. unslovable
24. m<−9 or m>9
Answer:
work is shown and pictured
write 3 × 20 sec=t as a word problem
Answer:
If you had a three person relay race and you all took 20 seconds each, how long did your race last? hope this will help :)
Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
(-3a - 11) = (a + 2)
Answer:a=-13
—-
4
Step-by-step explanation:
Write the Name
of each decimal place
as indicated
49) 71, 999
how do i name each decimal
place
Answer:
9-ones
90-tens
900-hundreds
1000-thousands
70000-tens of thousands
Step-by-step explanation:
Decimal places means the place the number is representing.
Decimal places are in ones, tens, hundreds, thousands, tens of thousands, hundreds of thousands, millions, etc
You first begin with the last number and the last number is in ones,then you move to the second number from the last which is in tens then it follows in that sequence.
Many cereals are made with high moisture content so that the cereal can be formed into various shapes before it is dried. A cereal product containing 57% by mass is produced at the rate of 1000. kg/h. How much water must be evaporated per hour if the final product contains only 21% water
Answer:
278.482 kilograms of water must be evaporated each hour.
Step-by-step explanation:
Initial mass of cereal is equal to the product of cereal mass-to-mass ratio and total mass flow:
[tex]\dot m_{in,c} = r_{in,c}\cdot \dot m_{in}[/tex]
Where:
[tex]\dot m_{in,c}[/tex] - Inlet cereal mass flow, measured in kilograms per hour.
[tex]r_{in,c}[/tex] - Inlet cereal mass ration, dimensionless.
[tex]\dot m_{in}[/tex] - Cereal product mass flow, measured in kilograms per hour.
If [tex]r_{in,c} = 0.57[/tex] and [tex]\dot m_{in} = 1000\,\frac{kg}{h}[/tex], then:
[tex]\dot m_{in,c} = (0.57)\cdot \left(1000\,\frac{kg}{h} \right)[/tex]
[tex]\dot m_{in,c} = 570\,\frac{kg}{h}[/tex]
The initial mass flow of water is:
[tex]\dot m_{in,w} = \dot m_{in} - \dot m_{in, c}[/tex]
[tex]\dot m_{in,w} = 1000\,\frac{kg}{h}-570\,\frac{kg}{h}[/tex]
[tex]\dot m_{in,w} = 430\,\frac{kg}{h}[/tex]
Given that final total mass flow contains only 21 % water, the final water mass flow, measured in kilograms per hour, is:
[tex]\dot m_{out} = \frac{\dot m_{out, c}}{r_{out, c}}[/tex]
([tex]\dot m _{out, c} = 570\,\frac{kg}{h}[/tex], [tex]r_{out} = 0.79[/tex])
[tex]\dot m_{out} = \frac{570\,\frac{kg}{h} }{0.79}[/tex]
[tex]\dot m_{out} =721.518\,\frac{kg}{h}[/tex]
[tex]\dot m_{out,w} = \dot m_{out} - \dot m_{out, c}[/tex]
[tex]\dot m_{out,w} = 721.518\,\frac{kg}{h}-570\,\frac{kg}{h}[/tex]
[tex]\dot m_{out,w} = 151.518\,\frac{kg}{h}[/tex]
Finally, the amount of water that must be evaporated per hour is:
[tex]\dot m_{evap} = \dot m_{in,w}-\dot m_{out,w}[/tex]
[tex]\dot m_{evap} = 430\,\frac{kg}{h} - 151.518\,\frac{kg}{h}[/tex]
[tex]\dot m_{evap} = 278.482\,\frac{kg}{h}[/tex]
278.482 kilograms of water must be evaporated each hour.
2. The sum of two times a
number squared and four
Answer:
2·x²+4
Step-by-step explanation:
The sum is an answer to an addition problem and 2 times a number means to multiply by 2. That number is squared so you it's to the second power.
Answer:
2•n^2+4=sum
Step-by-step explanation:
If two times a
number squared and four = sum,
then 2 • n^2 + 4 = sum
combine the like terms to simplify the expression 3x-4+2x+8
Answer:
x +4
Step-by-step explanation:
3x-4+2x+8
Combine like terms
3x+2x -4+8
x +4
Answer:
5x + 4
Step-by-step explanation:
3x - 4 +2x * 8
Combine 3x and 2x
5x - 4 +8
Combine -4 and 8
5x + 4
Help Me Please Someone Who Understands Is For Tomorrow Fill The Table With The Coefficients Of Each Equation Equation
A B C
X^2 - 6x + 8 = 0
X^2 - 10x - 25 = 0
X^2 - 7x = 0
X^2 - 3 = 0
2x^2 + 9 = 0
- 3 x^2 + 5 = 0
Answer:
Step-by-step explanation:
Idkkkkkkk
14. Given that ML.= 12 feet, how wide is the
garage?
A 12 ft
C 25 ft
B 24 ft
D 26 ft
what is the value of the expression 7-3
Answer:
7-3 = 4Step-by-step explanation:
Which statement describes function composition with respect to the commutative property?
O Given f(x) = x2 - 4 and g(x) = x-3, (fºg)(2) = -3 and (gºf)(2) = -3, so function composition is commutative.
O Given f(x) = 2x-5 and g(x) = 0.5x - 2.5, (fºg)(x) = x and (gof)(x) = x, so function composition is commutative
Given f(x) = x? and g(x)=xx. (fºg)(0) = 0 and (gºf)(0) = 0, so function composition is not commutative.
O Given f(x) = 4x and g(x) = x? (fog)(x) = 4x2 and (gºf)(x) = 16x?, so function composition is not commutative
Answer:
Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.
Step-by-step explanation:
Option D is correct, given f(x) = 4x and g(x) = x², (fog)(x) = 4x² and (gof)(x) = 16x², so function composition is not commutative.
What is a function?A relation is a function if it has only One y-value for each x-value.
Function composition is not commutative in general, meaning that (fog)(x) is not equal to (gof)(x) for all functions f and g.
Let f(x) = 4x and g(x) = x², for which function composition is not commutative.
If we compose f and g, we get:
(fog)(x) = f(g(x)) = f(x²) = 4x²
If we compose g and f, we get:
(gof)(x) = g(f(x)) = g(4x) = (4x)² = 16x²
Since (fog)(x) is not equal to (gof)(x) for all x, we can conclude that function composition is not commutative in this case.
Hence, f(x) = 4x and g(x) = x², (fog)(x) = 4x² and (gof)(x) = 16x², so function composition is not commutative, option D is correct.
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Factor X^4+3x^2y+9y^2
Its not factorable
(make sure you typed it up right)
write out five proper fraction and change them to decimal fractions
Answer:
proper fractions:
4/10=0.4(decimal form)
5/100=0.05(decimal form)
1000/10000=0.1(decimal form)
2/4=0.5(decimal form)
11/55=0.2(decimal form)
Step-by-step explanation:
PLEASE HELP!!
1y+14=-4y+9 for y. Round your answer to the nearest tenth.
Answer:
y = -1.0
Step-by-step explanation:
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, add 4y and subtract 14 from both sides:
1y (+4y) + 14 (-14) = -4y (+4y) + 9 (-14)
1y + 4y = 9 - 14
Combine like terms:
5y = -5
Isolate the variable, y. Divide 5 from both sides:
(5y)/5 = (-5)/5
y = -5/5
y = -1
y = -1 is your answer.
~
Find the arc length of the semicircle. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answer:
[tex]3.14r[/tex] or [tex]\pi r[/tex]
Step-by-step explanation:
Given:
A semicircle.
To find:
Arc length of the semicircle = ?
Solution:
Formula for angle subtended by an arc on the center of circle is given as:
[tex]\theta = \dfrac{l}{r}[/tex]
where [tex]l[/tex] is the arc length and
[tex]r[/tex] is the radius of semicircle.
Angle of full circle is [tex]2\pi[/tex]
So, angle of semicircle = [tex]\pi[/tex]
Using the formula, we can see that:
[tex]l = \theta \times r[/tex]
[tex]\Rightarrow l = \pi \times r\\\\OR\\\Rightarrow l = 3.14r[/tex]
So, the answer is:
Arc Length of semicircle = [tex]3.14r[/tex] or [tex]\pi r[/tex]
Answer:
The answer is 15.7
Step-by-step explanation:
The tutor got it wrong this is the right one on khan academy
-7x+y 3+7x^3 +6x−3y^3−2x^3 +3x
[tex]\circ\sf\:-7x+y^3+7x^3+6x-3y^3-2x^3+3x[/tex]
[tex]\circ\sf\:(-7x+6x+3x)+(y^3-3y^3)+(7x^3-2x^3)[/tex]
[tex]\circ\sf\:(-7x+9x)+(-2y^3)+(5x^3)[/tex]
[tex]\circ\sf\:2x-2y^3+5x^3[/tex]
[tex]\circ\:\underline{\boxed{\bf{\blue{x(2-5x^2)-2y^3}}}}[/tex]
Q: Is there a relationship between the sum of each pair of integers and the distance between them? If so, explain.
A: No
I don't know if this is right but I just put this because no one answered this question. Hope this helps someone! :)
Answer:
No, there is no relationship
Step-by-step explanation:
Since there are no pairs of integers, I will give a general answer.
The distance between any two numbers is the absolute value of their difference.
For example we need a distance between numbers of x and y, then we just subtract them in any order and take absolute value of it:
d= | x - y |or
d = | y - x |There is no relationship between the sum of the numbers.
It would make sense only in case one of the numbers is zero. Then the sum or difference would be same.
WILL GIVE BRAINLIEST!!! which scatter plot illustrates a positive linear relationship?
Answer:
Hey there!
Scatter plot D illustrates a positive linear relationship.
Let me know if this helps :)
Last month Bill spent $6,000. How much did bill spend on taxes last month? (1) The total amount Bill spent on taxes was 70% of the amount he spent on groceries. (2) 40% of the total amount Bill spent last month was spent on taxes and groceries.
Answer:
Bill spent $988 on taxes.
Step-by-step explanation:
First, you have to find the total amount that Bill spent last month on taxes and groceries as the statement says that he spent 40% of the total amount on that:
$6,000*0.4=$2,400
Then, the statement indicates that the total amount Bill spent on taxes was 70% of the amount he spent on groceries.
Let's consider that:
x=taxes
y=groceries
With the information we can write the following:
x+y=2,400 (1)
x=0.7y (2)
You can replace 2 in 1:
0.7y+y=2,400
1.7y=2,400
y=2,400/1.7
y=1,412
Then, you can replace the value of y in 2:
x=0.7(1,412)
x=$988
According to this, Bill spent $988 on taxes.
solve the equation for k-2/4 = 10 Help solve this question please.
Answer:
I think K = 10.5
Step-by-step explanation:
First you would do the division of 2/4 which equals 0.5. Now the equation is k-0.5 = 10. If you flip the equation around it is 10 + 0.5 = k. Now you would know that k = 10.5 to check it does 10.5 - 0.5 = 10? Yes.
The International Business Club starts the school year with $250.50 in their account. They spend $35 each month on activities. The Future Agricultural Leaders Club starts with $300 and spends $45.25 each month. Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money? 250.5 + 35m = 300 + 45.25m 250.5 – 35m = 300 – 45.25m 250.5m – 35 = 300m – 45.25 250.5m + 35 = 300m + 45.25
Answer:
250.50 - 35m = 300 - 45.25m
Step-by-step explanation:
Whenever an equation asks for when it will take x (or m in this case) amount of things or time you should know that there will be 2 different equations that have to equal each other
The equation will be 250.50 - 35m = 300 - 45.25m
The 35m is being subtracted from 250.50 because they are losing money each time they spend. This also applies to 45.25m
Also 35m and 45.25m are variables because it says they spend that much money each month. They don't specify how many months, so we have to put a variable after it.
Answer:
b) 250.5 – 35m = 300 – 45.25m
Step-by-step explanation:
on edge 2020 || pls mark brainliest
What would be the first step you would take in simplifying 6 - 3+ 5 x 2 ?
Answer:
Multiply ; (5 ×2)
Step-by-step explanation:
Further explanation
[tex]6-3+5\cdot \:2\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:5\cdot \:2\::\quad 10\\=6-3+10\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:6-3+10\:\\:\quad 13[/tex]
A 10 ounce box of cheerios cost $2.80 ounce box of cheerios cost $5.20. which is cheaper by the ounce.
Answer: 20 ounces box of cheerios is cheaper.
Step-by-step explanation:
If 10 ounce box of cheerios cost $2.80 and 20 ounce cost $5.20 then to find which is cheaper, you need to find the unit price which is the cost of an ounce.
Divide the money by the amount of ounces.
2.80 / 10 = 0.28 which is 28 cents per ounce.
5.20/20 = 0.26 which is 26 cents per ounce.
So the 20 box of cheerios is cheaper because it is 2 cents less.
2x + 9x2 + 4x + 4xy – 6x2
Simplified would be 4xy + 3x^2 + 6x
Answer:
4xy+3x²+6x
Step-by-step explanation:
Plz help me on 1-5 I’m so confused !!
Hey! I can't help you but I know who can!
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Her Username is:
Gabriella8671
ASK HER FOR HELP PLEASE!
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Answer in the comments please
-4x-y=24 can you guys please help me pretty please!?
Answer:
x=-y/4 +6
Step-by-step explanation:
First, y to each side.
-4x=y+24
Second, leave the x by itself by dividing both sides by - 4.
x=-y/4 +6