1. How far is Supermarket A from your house? (Round of your answer to the nearest whole number)
2. How far is Supermarket B from your house? (Round of your answer to the nearest whole number)
3. How far are the supermarkets from each other? (Round of your answer to the nearest whole number)
Answers
Answer:
13meters far from the supermarket
The distance between Supermarket A and Supermarket B is 35 units.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].
From the given coordinate plane, Supermarket A is at (12, 9), House is at (0, 0) and Supermarket B at (-16, -12).
1) Distance between Supermarket A and your house is
Substitute (x₁, y₁)=(12, 9) and (x₂, y₂)=(0, 0) in distance formula, we get
Distance = √[(0-12)²+(0-9)²]
= √144+81
= √225=15 units
2) Distance between Supermarket B and your house is
Substitute (x₁, y₁)=(-16, -12) and (x₂, y₂)=(0, 0) in distance formula, we get
Distance = √[(0+16)²+(0+12)²]
= √256+144
= √400=20 units
3) Distance between Supermarket A and Supermarket B is
Substitute (x₁, y₁)=(-16, -12) and (x₂, y₂)=(12, 9) in distance formula, we get
Distance = √[(12+16)²+(9+12)²]
= √28²+21²
= √1225=35 units
Therefore, the distance between Supermarket A and Supermarket B is 35 units.
To learn more about the distance formula visit:
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Related Questions
Suppose the man in the St. Ives poem has x wives, each wife has x sacks, each sack has x cats, and each cat has x kits. Write an expression using exponents that represents the total number of kits, cats, sacks, and wives going to St. Ives.
Answers
Answer: [tex]x+x^2+x^3+x^4[/tex]
Step-by-step explanation:
As per given,
Number of wives = [tex]x[/tex]
Number of sacks = [tex]x (\text{Number of wives} )= x\times x = x^2[/tex]
Number of cats = [tex]x(\text{Number of sack})[/tex][tex]= x \times x^2=x^3[/tex]
Number of kits = [tex]x(\text{Number of cats} )=x\times x^3=x^4[/tex]
Now , the total number of kits, cats, sacks, and wives going to St. Ives = [tex]x+x^2+x^3+x^4[/tex]
Hence, the required ex[pression: [tex]x+x^2+x^3+x^4[/tex]
PLZ HELP! QUESTION IS BELOW!
Answers
Answer:
27
Step-by-step explanation:
4 touchdown passes=24
18 complete passes=34
8 incomplete passes=30
2 interceptions=27
Final answer=27
PLEASE HELPP WILL GIVE BRAINLIEST IF CORRECT!! no copied answers!
Answers
if x is 100 the units would be 96
if x is 102 the units would be 98.07
Simplify y^3*y^-5 write your answer using only positive exponents
Answers
Answer:
y2
Step-by-step explanation:
"y3" was replaced by "y^3". 1 more similar replacement(s).
Simplify: y5 by y3
1.1 y5 divided by y3 = y(5 - 3) = y2
Final answer:
y2
y³y⁻⁵ can be written in the form of positive exponent is 1/y².
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is y³y⁻⁵
y power three times of y power minus five.
We need to simplify the expression using only positive exponents
From properties of exponents we have, when bases are same then the powers will be added
y³⁻⁵
y⁻²
This can be written as 1/y² as positive exponent.
Hence, y³y⁻⁵ can be written in the form of positive exponent is 1/y².
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evaluate the piece wise function
Answers
Answer:
i think [tex]g(12)=\frac{5.12}{6}=10[/tex] because if t = 12, t will not satisfy the first and last equation (in the first equation, t<6 and in the last equation t> 12)
so t = 12 only satisfy the second equaton with 6≤t≤12
Step-by-step explanation:
Find the slope of the line that passes through (9,10) and (6,8)
Answers
Answer:
2/3x+4
Step-by-step explanation:
Answer:
m=2/3
Step-by-step explanation:
y1-y2= 10-8=2
x1-x2=9-6=3
I asked this already, but can somebody provide an answer with an explanation?
Answers
Answer:
41 cm²Step-by-step explanation:
Area of triangles
A(ABN) = 1/2b₁hA(CDM)= 1/2b₂hArea of trapezoid
A(ABCD) = 1/2(b₁ + b₂)hSince the area of trapezoid is same as the sum of the areas of the triangles, we have:
A = 23 + 18 = 41 cm²Concepts:
Finding areaArea of figuresAnswer: 41 cm²
Triangle lengths:
A(ABN) = 1/2b₁h
A(CDM)= 1/2b₂h
Trapezoid length:
A(ABCD) = 1/2(b₁ + b₂)h
A = 23 + 18 = 41 cm²
Solve -7w + 6 = -4w2 using the Quadratic Formula.
W =
and w=
Answers
Answer:
w=7±i√47
-----------
8
Step-by-step explanation:
Find the slope of the line that passes through (8,10) (1,1)
Answers
Answer:
9/7
Step-by-step explanation:
slope m= rise/run= (y2-y1) / (x2-x1)
m= 10-1/8-1 = 9/7
If the value of 2x^3 is 2, then what is the value of ?
Answers
Answer:
34
Step-by-step explanation:
34
Hope this helps
Which one does not belong?
a. 10 miles per 2 hours west
b. 33 km/s north
c. coming to a stop
d. 9 m/s upward
Answers
Answer:
i would think that the answer is c. coming to a stop
Answer: C doesn’t belong
You buy
3.16 pounds of
pears,
1.15 pounds of
apples, and
2.18 pounds of
peaches. What is your total bill?
1.19 pears, 0.99 apples, 1.29 peaches
Answers
Answer:
if the prices at the bottom are per pound, then:
pears = 3.7604 (3.76)
apples = 1.1385 (1.13)
peaches = 2.8122 (2.81)
total bill = 7.07
Step-by-step explanation:
pears =
1.19 x 3.16 = 3.7604 (3.76)
apples =
0.99 x 1.15 = 1.1385 (1.13)
peaches =
1.29 x 2.18 = 2.8122 (2.81)
total bill =
3.76 + 1.13 + 2.81 = x
x = 7.7
7.7 money-wise = 7.07 (i think)
total bill = 7.07
OR
total bill =
3.7604 + 1.1385 + 2.8122 = x
x = 7.7111
----------------
7.7111 = 7.7 = 7.07
What is the solution
Answers
Answer:
Infinite amount of solutions.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
y = -3x - 2
4y = -12x - 8
Step 2: Solve for x
Substitute in y: 4(-3x - 2) = -12x - 8Distribute 4: -12x - 8 = -12x - 8Add 8 to both sides: -12x = -12xDivide both sides by -12: x = xHere we see that x does indeed equal to x. Therefore, x can be any value.
∴ The systems of equations have infinite amount of solutions.
Part A )a painter leans a ladder up against a building. The base of the ladder is placed 7 feet from the building to reach a height of 24 feet. How long is the ladder
Part B) The painter uses the same ladder from part A, but now needs to reach a height of 19 feet.How far away does the base of the ladder need to be placed from the building?
Answers
Answer:
Part A). 25 feet
Part B). 16.25 feet
Step-by-step explanation:
Part A). By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
AC² = (24)² + 7²
AC² = 576 + 49
AC = √625
= 25 feet
Part B). By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(25)² = (19)² + x²
625 = 361 + x²
x² = 625 - 361
x = √264
x = 16.25 feet
Kelly had a Hershey chocolate bar. She broke the bar into 5 pieces. Her friend Grace
ate 2/5 of the bar, Her friend Kayla ate 1/5 of the same bar. How much of the bar was
left for Kelly to eat?
Answers
Answer:
2/5 is left
Step-by-step explanation:
For the graph, locate the x-intercept and the y-
intercept.
The x-intercept is at
The y-intercept is at
Answers
y intercept= -2
Answer:
(6,0)
(0,-2)
Step-by-step explanation:
Find the volume of the cone.
175.9 m3
Correct Answer
167.6 m3
Incorrect Response
418.9 m3
502.7 m3
Answers
Answer:
B
Step-by-step explanation:
Is the relation shown in the arrow diagram a function? Justify your answer.
Answers
Answer:
NO
Step-by-step explanation:
For a relation to be a function, every input (x-value) must have exactly one output (y-value) mapped to it or related to it.
This means, in a function, an input value cannot give you two different outputs.
Therefore, relation shown in the arrow diagram IS NOT A FUNCTION, because one of the inputs (x-value), which is 1.2, has two different outputs (y-value) that is mapped or related to it, which are 6 and 8.
4(14-5)²÷2
HELP ASAP TY
Answers
Answer:
I think it's 162.
Step-by-step explanation:
Answer:
162
Step-by-step explanation:
Following PEMDAS
4(14-5)^2 ÷2
4(9)^2 ÷ 2
4(81) ÷2
324÷2
162
this question is about Ratio tables help I'm struggling
Answers
3 * 2.1 = 6.3 trees for 3 cabins
7 * 2.1 = 14.7 trees for 7 cabins
Answer:
Step-by-step explanation:
fguyy
Los lados de un cuadrilátero mide 6,8,7,9con tal como se muestra en la figura si se realiza una producción sensual y al lado correspondiente a 7ck haora mide 12cm ¿cuánto debe medir los demás lados
Answers
Answer:
The other sides 6,8, and 9 will be11cm, 13cm, and 14cm respectivelyStep-by-step explanation:
Step one:
given that the sides of the quadrilateral are:
6,8,7, and 9 in dimension.
And the side corresponding to 7 now measures 12
we may agree that the side has increased by 5cm, hence 5 has been added to that side.
Step two:
we can say that the other side will increase as follows
[tex]side_6= 6+5= 11cm\\\\side_8=8+5=13cm\\\\side_9=9+5=14cm\\\\[/tex]
Tom the turkey is 2.5 feet tall and he casts a shadow that is 4 feet. The Thanksgiving Parade float version of Tom is 14 feet tall. How long is the shadow of the parade float?
Answers
Answer:
22.4 ft
Step-by-step explanation:
Given
[tex]Height = 2.5ft[/tex]
[tex]Shadow = 4ft[/tex]
Required
Determine the shadow of 14 ft Tom
The given parameters represents direct variation.
Let x represents the shadow of Tom.
So, we have:
When
[tex]2.5ft\ height = 4ft\ Shadow[/tex]
[tex]14ft\ height = x[/tex]
Cross Multiply:
[tex]2.5 * x = 14 * 4[/tex]
[tex]2.5 * x = 56[/tex]
Solve for x
[tex]x = 56/2.5[/tex]
[tex]x = 22.4[/tex]
Hence, the height of the shadow is 22.4ft
I am sorry for all the people I am making mad.
Answers
Answer:
who are you making mad??...
Step-by-step explanation:
Answer:
Step-by-step explanation:
Convert 50°F to Celsius.
_____°C
Answers
Answer:
10°C
Step-by-step explanation:
(50°F − 32) × 5/9 = 10°C
Answer:
10 degrees Celsius
Step-by-step explanation:
is -33 a whole number?
Answers
Answer/Step-by-step explanation:
-33 is not a whole number. A whole number is a number(positive) that contains no decimals nor fractions.
Simplify.
3
(-4a64)
Write your answer without parentheses.
Answers
Answer:
64w2.
Step-by-step explanation:
Charlie has a giant bag of gumballs and wants to share them with his friends. He gives half of what he has to his buddy, Jaysen. He gives half of what's left after that to Marinda. Then he gives half of what's left now to Zack. His mom makes him give 5 gumballs to his sister. Now he has 10 gumballs left. How many gumballs did Charlie have to begin with?
Answers
Answer:
120 gumballs
Step-by-step explanation:
Let
x = total gumballs
Buddy = 1/2x
Balance = x - 1/2x
= 2x-x/2
= 1/2x
Miranda = 1/2 of 1/2x
= 1/2 × 1/2x
= 1/4x
Balance = 1/2x - 1/4x
= 2x-x/4
= 1/4x
Zack = 1/2 of 1/4x
= 1/2 × 1/4x
= 1/8x
Balance = 1/4x - 1/8x
= 2x-x/8
= 1/8x
His sister = 5
Balance = 1/8x -5
10 = 1/8x - 5
10 + 5 = 1/8x
15 = 1/8x
x = 15 ÷ 1/8
= 15 × 8/1
= 120
x = 120 gumballs
What is 4/6 dived by 3/12
Answers
Answer:
8/3
Step-by-step explanation:
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Brian and Derek have summer jobs selling newspaper subscriptions door-to-door, but their compensation plans are different. Brian earns a base wage of $13 per hour, as well as $1 for every subscription that he sells. Derek gets $4 per subscription sold, in addition to a base wage of $7 per hour. If they each sell a certain number of subscriptions in an hour, they will end up earning the same amount. How much would each one earn? How many subscriptions would that be?
Brian and Derek will each earn $___ if they sell___subscriptions in an hour.
Answers
Answer: Brian & Derek will earn $25 If they sell 8 and 12.
Step-by-step explanation:
The order pair (0 , 0) is a solution to the inequality x > -2 True True False
Answers
Answer: true
Step-by-step explanation:
Answer:
True, because when x is zero (which is greater than -2), y is 0 Which is also true.