DISTANCE FORMULA
find the distance between each pair of points round the answer to the nearest tenth
Answers
Step-by-step explanation:
The distance between 2 points is calculated with this formula:
[tex] \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
• in the first exercise:
- the leftmost point has values (-5; 1), where -5 is the value of x1 and 1 is the value of y1
- the rightmost point has values (4; 0), where 4 is the value of x2 and 0 is the value of y2
then apply the formula:
[tex] \sqrt{(4 - ( - 5)) {}^{2} + (0 - 1) {}^{2} } [/tex]
[tex] \sqrt{(4 + 5) {}^{2} + (- 1) {}^{2} } [/tex]
[tex] \sqrt{81 + 1} [/tex]
[tex] \sqrt{82 } =9.05[/tex]
you can check if the result is correct by counting the distance of the points with the squares of the sheet (photo)
• in the second exercise:
- the highest point has values (-4; 2), where -4 is the value of x1 and 2 is the value of y1
- the lower point has values (-4; -4), where -4 is the value of x2 and -4 is the value of y2
then apply the formula:
[tex] \sqrt{( - 4 - ( - 4)) {}^{2} + ( - 4 - 2) {}^{2} } [/tex]
[tex] \sqrt{(0) {}^{2} + (36) } [/tex]
[tex] \sqrt{36} = 6[/tex]
Related Questions
Find the measure of the angle indicated.
?
82
A) 77°
C) 82
B) 75
D) 127°
Answers
Answer:
c) 82
Step-by-step explanation:
It's 82 degrees because of the opposite interior angle theorem, which means that those two angles are the same, as well as any pair of opposite interior angles.
PLEASE HELP !
Determine the equation of this line, pitting your answer in the form Ax + By + C = 0, where A B C are intergers.
Answers
Answer:
5x + 4y - 20 = 0
Step-by-step explanation:
1. Find the two points given: (0,5) and (4,0)
2. Find the slope of the line:
m = [tex]\frac{5-0}{0-4} = \frac{-5}{4}[/tex]
3. Find y intercept by plugging in one point into the y-intercept form
y = (-5/4) x + b
0 = (-5/4) (4) + b
b = 5
4. Write out the equation in y-intercept form
y = (-5/4) x + 5
5. Rewrite it in Ax + By + C = 0 form
(5/4) x + y - 5 = 0
6. Since A B C all need to be integers, multiply the whole equation by 4
5x + 4y - 20 = 0
19. Helen has 2 more than twice as many stamps as Gail. If Gail
buys 10 more stamps, she and Helen will have the same
number of stamps. How many stamps does each person have
now?
Answers
Answer:
x(Gail)=8 and y(Helen)=18
Step-by-step explanation:
2x+2=y and x+10=y
Plug y in and solve for x
2x+2=(x+10)
2x-x=10-2
x=8
Plug x in and solve for y
(8)+10=y
y=18
help me plz asap this is 50 points
Answers
Answer:
no its not 50 points lier
Step-by-step explanation:
30 28 8 21 15
Problem solving visual pattern, please help me! Youd be a life saver
Answers
What would be the equation for "The product of 4 and the sum of x and 5 equals 28"
Answers
Can anyone help? This is super difficult.
Answers
Answer:
A
Step-by-step explanation:
Recall that from the Exterior Angle Theorem, the exterior angle is equal to the sum of the two interior angles opposite from the exterior angle.
In other words:
[tex]\displaystyle m\angle QPT = m\angle HQP + m\angle PHQ[/tex]
We are given the expressions of each angle. Substitute:
[tex](6x+20)^\circ = (x+40)^\circ + (4x-5)^\circ[/tex]
Solve for x:
[tex]\displaystyle \begin{aligned} 6x + 20 & = (x+40) + (4x-5) \\ \\ 6x + 20 & = 5x + 35 \\ \\ x & = 15 \end{aligned}[/tex]
Hence, the value of x is 15.
Then the measure of ∠QPT will be:
[tex]\displaystyle\begin{aligned} m\angle QPT & = (6x+20)^\circ \\ \\ & = (6(15)+20)^\circ \\ \\ & = (90 +20)^\circ \\ \\ & = 110^\circ\end{aligned}[/tex]
In conclusion, our answer is A.
perpendicular slope of y=4/3x+1
Answers
Answer:-3/4
Step-by-step explanation:
flip and switch the sign
Answer:
Perpendicular Slope: -3/4
Step-by-step explanation:
The perpendicular slope of a line is the opposite reciprocal.
If two angles are supplementary then their sum is a. 90 b. 180 c. 360 d. 45
Answers
Answer:
b. 180°
Step-by-step explanation:
Supplementary angles are angles that add up to 180°
Examples are 90° and 90°, 45°, and 135°, and 60° and 120°
-Chetan K
P2 + 13x + 42
Factorise this please
Answers
Answer:
Step-by-step explanation:
STEPS USING FACTORING
a
2
−13a+42=0
To solve the equation, factor a
2
−13a+42 using formula a
2
+(a+b)a+ab=(a+a)(a+b). To find a and b, set up a system to be solved.
a+b=−13
ab=42
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 42.
−1,−42
−2,−21
−3,−14
−6,−7
Calculate the sum for each pair.
−1−42=−43
−2−21=−23
−3−14=−17
−6−7=−13
The solution is the pair that gives sum −13.
a=−7
b=−6
Rewrite factored expression (a+a)(a+b) using the obtained values.
(a−7)(a−6)
To find equation solutions, solve a−7=0 and a−6=0.
a=7
a=6
May I please receive help?
Answers
Answer:
slope of line 1
m = (-8 - 2) / (2 + 2)
m = -10/4 = -5/2
slope of line 2
m = (6 + 1) /(5 - 0)
m = 7/5
slope of line 3
m = (-2 + 7) /(2 - 4)
m = 5/ -2
m = -5/2
Line 1 and Line 2 are neither.
Line 1 and Line 3 are parallel since they have same slope.
Line 2 and Line 3 are neither.
Hello Everyone! If you are having any difficulties in Math book D1 and D2, then do tell me in the channel discussion section. I'll be happy to respond to all your math queries. I will be uploading videos with clear explanations in order to clear your concepts.
Answers
Answer:
h
Step-by-step explanation:
b
Please help!What are the values of x and y? i’m so confused on this particular one.
Answers
-14. -14
X=2x-20
-2x -2x
-2x=-20
/-2 /-2
X=10
Y is also 10 because they are corresponding
The coordinates of the vertices of the preimage of a triangle are (2, 1), (3, 4), and (4, 1). The coordinates of the vertices of the image are (3, 3), (4, 6), and (5, 3). How far and in what direction was the triangle translated?
Answers
Tamika made 6 gallons of lemonade. She used 3/4 cup of sugar for each gallon of lemonade, as shown
which model represents an amount of sugar equivalent to the amount Tamika used?
A. 5 cups
B. 6 Cups
C. 3 Cups
D. 7 Cups
Answers
Answer:
C
Step-by-step explanation:
did da test
Solve for the following equation for “f”
Answers
What is 7/56 simplified
Answers
Answer:
1/8
Step-by-step explanation:
BOOM!
Answer:
1/8
Step-by-step explanation:
broken down into fractions 1/8 is the simplest answer
there are two numbers whose sum is 496 . One number is thrice the other . what are the numbers?
please explain. with answer
Answers
x = 496/4
X = 124
Another Number equal to 496-124 equal to 372
Please answer the math problem... I will mark you brainliest
Answers
Answer:
x=74º
y=65º
Step-by-step explanation:
53+53+x=180 > 106+x=180 > x=74
50+2y=180 > 2y=130 > y=65
The purpose of this form is so that your employer can withhold the correct amount of federal income tax from your pay.
I-9 form
W-4
application
Time Sheet
Answers
Simplify.
8−4÷2+5⋅6
1. 32
2. 36
3. 54
4. 66
Answers
Answer: 36
Step-by-step explanation:
8-2+30
6+30
36
PLEASE HELP ASAP!!! HOW DO I DO THIS?
Answers
4.)The same rule is applied to this one because the bases (q) are the same variable, and the operation is division. q^2 / q^4 = q^2-4 = q^-2.
Now, we have a negative exponent, here’s what to do:
With a negative exponent, we picture a 1 under the q^-2, like this: q^-2 / 1. We can’t have a negative exponent. So, to get it of positive value, we move it down to where the 1 is. We then get: 1/q^2. We simply shifted it from the numerator to the denominator which cancels out the negative. Your answer is 1/q^2.
5.) 4^5 / 4^4 = 4^5-4 = 4^1 or just 4. This is because of the quotient property.
6.) (-3)^1 / (-3) ^1 = -3^1-1 = -3^0. Now we have an exponent of zero. Whenever you see an exponent to the value of zero, the whole entire base and exponent just becomes the whole number of 1. Therefore, -3^0 = 1 as your answer.
In 2010, the average cost of electricity was 11.54 cents per kilowatt hour. In 2014, the average cost of electricity
was 12.52 cents per kilowatt hour.
Which function models the average retail price of electricity, f(x), in cents per kilowatt hour, x years after 2010?
A. f(x) - 0.98x + 4.00
B. f(x) = 0.245x + 11.54
C. f(x) = 0.738x + 11.54
D. f(x) = 4.082x + 1962.89
Answers
Answer:
B
Step-by-step explanation:
First take 12.52 and subtract 11.54 to find the amount it had decreased. (.98)
After that, divide it by 4 (because it increased by .98 over 4 years) and you get .245 a year.
and sense your starting value was 11.54 the +11.54 also checks out
Gage Millar, algebra 2 tutor.
The function modeling the given situation of retail price of electricity in cents per kilowatt hour, x years after 2010 is: Option C. [tex]f(x) = 0.245x + 11.54[/tex] (in cents/kilowatt hour)
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Since the problem asks us to find the cost of electricity x years after 2010, thus, the increasing rate will add up itself x times and this addition will then be added to the price which is getting increased, which is 2010's price.
(since 2011's price = price of 2010 + constant increment,
2012's price = price of 2010 + twice of constant increment, and so on for further years)
Thus, f(x) = increment per year times x + price in 2010
Now assuming that increment in price per year is constant, we see:
Increment per year in electricity price= (price in 2014 - price in 2010)/4
Increment per year in electricity price = (0.98)/4 = 0.245 cents per year
Thus, we get:
[tex]f(x) = 0.245x + 11.54[/tex] as the price of the electricity in cents per kilowatt hour after x years from 2010.
Learn more about forming equations here:
https://brainly.com/question/11938672
For the function below. Find f-1 (x)
Answers
Answer:
[tex]{f}^{ - 1} (x) = \frac{3x}{2(1 + 2x)} + \frac{1}{2(1 + 2x)} [/tex]
I hope I helped you^_^
BRAINLIEST to correct answer!!
Answers
Answer:
5
Step-by-step explanation:
Samantha is deciding between two different movie streaming sites to subscribe to. Plan A costs $18 per month plus $1 per movie watched. Plan B costs $14 per month plus $2 per movie watched. Let A represent the monthly cost of Plan A if Samantha watches x per month, and let B represent the monthly cost of Plan B if Samantha watches x movies per month. Graph each function and determine the number of monthly movies watched, x, that would make the two plans have an equal monthly cost.
Answers
Answer:
Samantha would have to watch 4 Movies so x=4
Step-by-step explanation:
Select all of the TRUE statements about the unit rates.
The ratio 5 : has a unit rate of 35.
The ratio 5 :, , , , has a unit rate of 35.
The ratio to has a unit rate of .
The ratio , , , to , , , has a unit rate of , , , .
The ratio to has a unit rate of .
The ratio , , , , to, has a unit rate of , , , .
The ratio : has a unit rate of .
Answers
Answer:
I think you copied this. there are alot od commas
Step-by-step explanation:
Answer:
The ratio to has a unit rate of .
The ratio , , , to , , , has a unit rate of , , , .
Step-by-step explanation:
Find the Slope of the line graphed?
Answers
Answer:
-1/2
Step-by-step explanation:
It is negative since the slope is declining, meaning that it is a negative slope!
It is 1/2 because we go down one and move 2 to the right, meaning that we get 1/2 and then for the negative slope get -1/2
Consider marking this as brainliest it really helps!
please help me with this :(
suppose PQR is rotated 180° about the origin, (0,0). find the coordinates of P', Q', and R'. then sketch P'Q'R'
(type an ordered pair)
P'=___
Q'=___
R'=___
Answers
Answer:
I think the way they are telling is that the triangle will move to the third quadrant,
If so, then the coordinates of P'Q'R' will just be the negative of PQR.
Lin’s job pays$8.25 an hour plus$10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance). 1.Represent this situation mathematically. If you use variables, specify what each one means. 2.How many hours per week can Lin work? Explain or show your reasoning.
Answers
Answer:
20
Step-by-step explanation:
($8.25 x 5 hours) + 10x <= 175
41.25 + 10x <= 175
x =4 that is 4 weeks
so multiple 5 hours by 4 to get 20 hours
that way she is earning 175 per week