Use the distance formula to find the distance between cach pair of points. If necessary,
round to the nearest tenth.
C (-2,6), D (10,-8)
Answer:
[tex]d \approx 18.4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point C (-2, 6)
Point D (10, -8)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(10+2)^2+(-8-6)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(12)^2+(-14)^2}[/tex]Exponents: [tex]d = \sqrt{144+196}[/tex]Add: [tex]d = \sqrt{340}[/tex]Simplify: [tex]d =2 \sqrt{85}[/tex]Evaluate: [tex]d = 18.4391[/tex]Round: [tex]d \approx 18.4[/tex]Which of these triangles appears not to be congruent to any others shown here? Check all that apply.
Answer: b & e
Step-by-step explanation:
a and c appear congruent as do d and f
Drag the tiles to the correct boxes to complete the pairs.
Match each graph with a description of its correlation.
Tiles:
modest negative correlation
weak negative correlation
perfect negative correlation
modest positive correlation
strong positive correlation.
Answer:
Graph 1: perfect negative correlation
Graph 2: modest negative correlation
Graph 3: modest positive correlation
Graph 4: strong positive correlation
Graph 5. weak negative correlation
Step-by-step explanation:
If i'm wrong PLEASE correct me
The graph first is perfect negative correlation, graph second is the modest negative correlation.
What is correlation?It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
As we know, the coefficient of correlation varies between -1 and +1.
If r = +1 (means the relation between the variable is strong and positive)
If r = -1 (means the relation between the variable is strong but negative)
As we can see in the graph, the line goes down represents the negative correlation and the line goes up represents the positive correlation.
So, we can say:
The first graph is perfect negative correlation.
The second graph is modest negative correlation.
The third graph is modest positive correlation.
The fourth graph is strong positive correlation.
The fifth graph is weak negative correlation.
Thus, the graph first is perfect negative correlation, graph second is the modest negative correlation.
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A farmer has 280 acres of land on which he plans to plant two different crops, crop A and crop B. For each acre of crop A he plants, his expenses are $25, and for each acre of crop B, his expenses are $30. The farmer has a limit of $10,000 for the expenses of planting the 280 acres. If a represents the acres of crop A and b represents the acre of crop B that the farmer plants, which of these represent the limits of a and b?
Answer:
a+b<280
25a+30b less than or equal too 10000
Step-by-step explanation:
Answer:
Step - by - step explanation.
Tim has a bag of 36 orange-flavoured sweets and Peter has a bag of 44 grape-flavoured sweets. They have to divide up the sweets into small trays with equal number of sweets; each tray containing either orange-flavoured or grape-flavoured sweets only. If there is no remainder, find the largest possible number of sweets in each tray.
Answer:
the largest possible number for each would be dividing it by two so 36 divided by two is 18 and 44 divided by two is 22
so for the orange the largest number would be 18
and for the grape the largest number would be 22
which statement describes the graph of the function f(x)=x^2-1/x^2-2x+1
A. there is a hole at x=-1
B. there is a vertical asymptote at x=-1
C. the y-intercept is y=-1
D. there is a horizontal asymptote at y=-1
Answer:
The Y-intercept is -1
Step-by-step explanation:
M*thway is a pathway to many abilities some considered to be... unnatural
Statement (C) the y-intercept is y=-1 describes the graph of the function.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
[tex]\rm f(x) = \dfrac{x^2-1}{x^2-2x+1}[/tex]
The above function is a rational function.
The denominator cannot be zero
x² - 2x + 1 ≠ 0
(x - 1)²≠ 1
x ≠ 1
To find y-intercept plug x = 0
f(0) = -1
Thus, statement (C) the y-intercept is y=-1 describes the graph of the function.
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a trip to washington from boston will take you 534 hours. if you have traveled 13 of the way, how much longer will the trip take?
There are 356 hrs left to the trip.
534 hours are required to go from Washington to Boston [tex]dfrac13[/tex] of the trip is already finished. The time remaining to complete the journey would then be [tex]dfrac23[/tex]of the way. To get the number of hours left to the trip is shown below:
[tex]534 hours[/tex] ×[tex]2/3[/tex] [tex]=\frac{534}{3}[/tex]
[tex]= (178)(3)(2)/3[/tex]
[tex]=356 hrs[/tex]
Is Boston near Washington, DC?Boston, Massachusetts is roughly 450 miles southwest of Washington. There are numerous ways to travel from Boston to Washington, DC due to the proximity of the two cities, including via rail, airline, bus, and vehicle.
Your best option for getting from Boston to Washington, DC will depend on your individual needs, including how much time you want to spend on the road, your financial situation, and the specific points of origin and destination in each city. Flying will get you there the quickest, and because there are so many direct flights, it can also be relatively economical.
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Ill make you brainlist help
Answer:
ROC = 0
Step-by-step explanation:
Even though the x-values are changing, the y-values say the same; no change
A function, fox), models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute. Which of these describes why fx) can be considered a linear function? I. For every 1 minute interval, the depth of water in the wading pool increases by the same amount. II. The function grows by equal factors every minute. III. The slope of the function is constant. I only I and III only
1
Step-by-step explanation:
pls solve this question step by step.
Answer:
Mother is 29 and son is 5==========================
Let the mother's present age is m and son's present age is s.
Set equations as per given conditions3 years later
m + 3 = 4(s + 3) ⇒ m + 3 = 4s + 12 ⇒ m = 4s + 93 years ago
m - 3 = 2(s + 8) ⇒ m - 3 = 2s + 16 ⇒ m = 2s + 19Compare the equations and solve for s4s + 9 = 2s + 194s - 2s = 19 - 92s = 10s = 5Find mm = 4*5 + 9 = 29Find the unit rate. Round to the nearest hundredth, If necessary.
$290 for 12ft
Answer:
24.17
Step-by-step explanation:
Answer:
$24.17 per feet
Step-by-step explanation:
290/12=24.1666...
24.16666 rounds to 24.17
If you help you get a brąïńlīėšt
Answer:
$200
Step-by-step explanation:
120/3=40
So they spent $40 on each ticket.
40*5=200
They would spend $200 on five tickets.
Sars Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch
specials last month. The equation 2x + 3y = 1470 represents Sat's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold
1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work
2. Describe how you would graph this line using the slope intercept method. Be sure to write using complete sentences
3. Write the equation in function notation. Explain what the graph of the function represents Be sure to use complete sentences,
4. Graph the function on the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing
technology
5. Suppose Sal's total profiton lunch specials for the next month is $1.583. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three
complete sentences, explain how the graphs of the functions for the two months are similar and how they are different
6. Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph Show your work or explain how you determined the
equations
Answer:
I didn't find any results but if I find one I let you know
Step-by-step explanation:
I hope that help's??
Pls help pls
10 POINTS pls
Answer:the answerrr is 55tktktng
Step-by-step explanation:
Answer:
f(x)=-2x-5
f= -2 (-6) -5
f= 12-5
f= 7 so the answer is A
the answer is C, y= -200x +6000
Lin measured the diameter of a circle in two different directions. Measuring vertically, she got 3.5 cm, and measuring horizontally, she got 3.6 cm.
Which of the following are possible reasons why these measurements differ?
Select all that apply.
A. These measurements could be rounded, not exact
B. The diameter of a circle can vary when measured from different points
C. The thickness of the circle could have affected the measurements
D. Lin did not measure across the widest part when measuring vertically
E. The shape is not quite a circle, because a perfect circle is very hard to draw
What do I choose?
Answer:
I think It is C if Not pick A
Step-by-step explanation:
Lines a, b, and c lie on the same coordinate plane. Line a is perpendicular to line b and intersects at (3, 6). Line b is perpendicular to line c, which is the graph of y = 2x + 3.
Write the equations of lines a and b.
Answer:
The answer is below
Step-by-step explanation:
The equation of a straight line is given as y = mx + b, where m is the slope and b is the y intercept.
Given that the equation of line c is y = 2x + 3, and line b is perpendicular to line c. Two lines are perpendicular if the product of their slope is -1. We can see that the slope of line c is 2, let [tex]m_1[/tex] be the slope of line c, hence:
[tex]2*m_1=-1\\\\m_1=\frac{-1}{2}[/tex]
Also, line b passes through (3, 6), hence the equation of line b is:
[tex]y-y_1=m_1(x-x_1)\\\\y-6=\frac{-1}{2}(x-3)\\\\y-6= \frac{-1}{2}x+\frac{3}{2}\\\\y=\frac{-1}{2}x+ \frac{15}{2}[/tex]
Line b has a slope of -1/2, and is perpendicular to line a, let [tex]m_2[/tex] be the slope of line a, hence:
[tex]\frac{-1}{2} *m_2=-1\\\\m_2=2[/tex]
Also, line a passes through (3, 6), hence the equation of line a is:
[tex]y-y_1=m_1(x-x_1)\\\\y-6=2(x-3)\\\\y-6=2x-6\\\\y=2x[/tex]
Divide the following polynomial expression.
(n^4 +5n^3+9n^2) / 9n^3
Can you go step by step on this please, I need to write down notes for my math class.
Answer:
x = 32, y = 51
Step-by-step explanation:
You know the longest side of ΔTUS is 13m and the longest side of ΔMNP is (2x-y). Thus:
2x - y = 13 --- Equation 1
You know the sum of angles in a triangle is 360°. Two of the angles are given in ΔMNP (142° & 24°) and the remaining angle is (2x-50)°. Thus:
142 + 24 + 2x - 50 = 180
2x + 116 = 180
2x = 180 - 116
2x = 64
x = 64 ÷ 2
x = 32 --- Equation 2
Substitute x = 32 into Equation 1:
2(32) - y = 13
64 - y = 13
-y = 13 - 64
= -51
y = 51 --- Equation 3
Answer:
x = 32, y = 51
Step-by-step explanation:
Since the triangles are congruent then corresponding angles and sides are congruent, then
∠ U = ∠ N and NP = US
Require to find ∠ N
∠ N = 180° - (24 + 142)° ← sum of angles in triangle
= 180° - 166°
= 14°
Thus
2x - 50 = 14 ( add 50 to both sides )
2x = 64 ( divide both sides by 2 )
x = 32
and
NP = US
2x - y = 13 ← substitute x = 32
2(32) - y = 13
64 - y = 13 ( subtract 64 from both sides )
- y = - 51 ( multiply both sides by - 1 )
y = 51
kim makes $12 per hour . write an equation showing the relationship between her total pay (p) and the number of hours she works (h)
Answer:
C) P = 12H
Step-by-step explanation:
This is because she makes 12 dollars every hour so it'll be 12 times the number of hours.
tim ate 100 cookies in 5 days. each day he ate 6 more cookies than he did the day before. how many cookies did he eat on the first day?
Answer:
8
Step-by-step explanation:
Day 1) 8
Day 2) 8+6 =14
Day 3) 14+6=20
Day 4) 20+ 6=26
Day 5) 26+6=32
8+14+20+26+32=100
what is 4/5 times 4?
Answer:
3.2
Step-by-step explanation:
HELP ASAP I DONT HAVE TIME AND IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answer:
0.915 meters
Step-by-step explanation:
0.305 x 3 = 0.915
Answer:
0.915
Step-by-step explanation:
Jada earns $7 per hour mowing her neighbors’ lawns. Andre gets paid $9 plus 4 per hour.
What system of equations represents this situation?
Answer:
Jada's amount: 7h = m
Andre's amount: 4h + 9 = m
h = hours
m = money (total cost)
The system of equations that represents the situation is yx = y.
Step-by-step explanation:
The system is yx = y, since the amount of dollars per hour multiplied by the amount of hours, plus any amount (if needed) will equal the total amount of money that Jada and/or Andre receives.
Hope this helps! :D
(picture included) brainliest
Answer:
A. y = -1/4x + 1 1/2
B. The rate of change is losing/decreasing -1/4 (y axis unit) per (x axis unit)
Step-by-step explanation:
A. Your equation is 2x + 8y = 12
so solve this for y like any other other question. Start by subtracting 2x from both sides: 8y = -2x + 12
then divide both sides by 8 to isolate y: y = -2/8x + 12/8
simplify your equation: y = -1/4x + 3/2
turn 3/2 into a mixed fraction: y = -1/4x + 1 1/2
B. The rate of change is the same thing as the slope but you say it with units. I cant see a scenario but you can say something like:
The rate of change is losing/decreasing -1/4 (y axis unit) per (x axis unit)
Jodie is on the swim team. Below are four of her times swimming 100 meters.
22.98 seconds, 23.09 seconds, 23.06 seconds, 22.83 seconds
What is the difference between her best time and her worst time?
A.
0.03 second
B.
0.23 second
C.
0.11 second
D.
0.26 second
The difference between her best time and her worst time is equal to 0.26 seconds.
What is algebra ?
Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.
Jodie has to swim for 100 meters. The four of her times to cover this distance are 22.98 seconds, 23.09 seconds, 23.06 seconds, 22.83 seconds.
Let's find the time per sec to swim at each instances.
So ,
100 meters in 22.98 seconds meant :
= 100 / 22.98
= 4.35 m/sec
Similarly ,
100 meters in 23.09 seconds meant :
= 4.33 m/sec
100 meters in 23.06 seconds meant :
= 4.34 m/sec
100 meters in 22.83 seconds meant :
= 100 / 22.83
= 4.38 m/sec
So , we can find out that Jodie swims distance of 100 meters fastest on speed of 4.38 m/sec in 22.83 seconds and slowest on speed of 4.33 m/sec in 23.09 seconds.
The difference between her best time and her worst time is :
= 23.09 - 22.83
= 0.26 seconds
Therefore , the difference between her best time and her worst time is equal to 0.26 seconds.
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Pls help I’ll give you brainly
help its easy im just to lazy :)
PLEASE HELP! EASY MATH! GIVING BRAINLIEST!
Molly is painting a model house and needs to know how much paint she will need. She knows the surface area of the prism is 216 square inches and the surface area of the pyramid is 84 square inches.
1. Which surface is shared by the two solids? What are the dimensions of this surface?
2.There is another surface that Molly does not need to paint, because it wont show when she displays the model house. Describe that surface, and explain why it doesn't need to be painted.
3. To find the area Molly needs to paint, she should add the surface areas of both solids and subtract. Choose the correct answer.
A. twice the area of the triangle
B. twice the area of the square
C. three times the area of the square
D. the area of the square.
4. Find the area Molly needs to paint.
Part 1) The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid
Part 2) The dimensions of this surface are 6 in x 6 in
Part 3) Molly needs to paint 228 square inches
Step-by-step explanation:
The picture of the question in the attached figure
Part 1) Which surface is shared by the two solids?
we know that
The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid
Part 2) What are the dimensions of this surface?
The surface is a square with side length 6 inches
so
The dimensions of this surface are 6 in x 6 in
Part 3) what is the area molly needs to paint?
we know that
The area that Molly needs to paint is equal to the surface area of the cube plus the surface area of the pyramid minus two times the area of the surface that is shared by the two solids
so
therefore
Molly needs to paint 228 square inches
i hope this helps you
Please help this is due tomorrow
Answer:
A.6-5 B. 5-15 C.5-5 D.23-14 E.1-12 F. 15-2
1-4 14-1 9-8 5 - 1 3-10 10-2
G. (-)5-11 H.20-0 I. (-)3-11
1-15 20-0 0-1
Step-by-step explanation:
ex a. top left cant be lower than 1 or 5 (so I put 6)
The top right can't be lower than 1
The bottom left can't be lower than -3
The sum of the measures of ∠QRT and ∠TRS is 180∘.
What is the measure of ∠TRS?
Enter the correct answer in the box.
Answer:
90° i think..........