Answer: The distance is about 5.39 units
Step-by-step explanation:
To find the distance between the two points find the difference in the x and y coordinates and square them to add them and find their square root.
4-(-1) = 5
-1 -1 = -2
5^2 + -2^2 = d^2 where d is the distance
25 + 4 = d^2
29 = d^2
d = [tex]\sqrt{29}[/tex]
d= 5.39
Mary is traveling to Ecuador for her summer vacation. She looks at a map of the path of her flight. Her plane leaves from Florida, located at (1, 4) on the map’s coordinate grid, makes a stop at the midpoint, Panama, located at (5, 7 ) on the map’s coordinate grid. and then heads to its destination, Ecuador. Find the location of Ecuador on Mary’s map. Group of answer choices (3, 5.5) (8, 9) (0, 0) (9, 10)
Answer:
(9, 10)
Step-by-step explanation:
We are told that the coordinates of Mary's departure location is (1,4)
Now, we are told that She stopped at the midpoint of the journey located at Panama with a coordinate of (5, 7).
Now, we want to find the coordinates of her final destination.
Let the coordinates of her final destination be (x, y)
Since midpoint is at (5,7) and the initial point is at (1,4), then to get x;
(x + 1)/2 = 5
x + 1 = 5 × 2
x + 1 = 10
x = 10 - 1
x = 9
Similarly, to get y;
(y + 4)/2 = 7
y + 4 = 14
y = 14 - 4
y = 10
Thus, the coordinates of her final destination is; (9, 10)
A loading dock manager is unpacking a delivery truck that has 57 boxes of shoes and 26 boxes of socks. What is the ratio of boxes of socks to boxes of shoes
Answer:
0.4561
Step-by-step explanation:
If a loading dock manager is unpacking a delivery truck that has 57 boxes of shoes and 26 boxes of socks, the ratio of boxes of socks to boxes of shoes will be expressed as amount of boxes of socks : amount of boxes of shoes.
amount of boxes of socks : amount of boxes of shoes = 26:57
26:57 = 26/57
26/57 ≈ 0.4561
Hence the ratio of boxes of socks to boxes of shoes is approximately 0.4561
A movie theater sends out a coupon for 90% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket.
write 0.46 repeating as a fraction in simplest form
What is the product of -15 and -3?
05
-5
-18
45
Answer:
45
Step-by-step explanation:
negative times negative equals positive
what is the balue of x in the proportion 2 1/4 / x= 1 1/2/3/35?
Answer:
5 2/5
Step-by-step explanation:
(2 1/4) / x = (1 1/2) / (3 3/5)
so
x = (2 1/4) * (3 3/5) / (1 1/2)
List the domain and range of the relation. {(7. - 6), (4,4), (0, -6), (4,1) (7,6)}
The domain is all the x values in the relation.
The range is all the y values in the relation.
Note that if you have more then one of a number, you only put one.
Domain: 7, 4, 0
Range: -6, 4, 1, 6
Best of Luck!
What is the distance between (8, -3)(8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and (4, -7)(4,−7)left parenthesis, 4, comma, minus, 7, right parenthesis? Choose 1 answer:
Answer:
5.6568 units
Step-by-step explanation:
Given the following points :
(8, - 3) and (4, - 7).
Find the distance between them.
(8, - 3) : x1 = 8, y1 = - 3
(4, - 7): x2 = 4, y2 = - 7
Distance (d) = √[(x2 - x1)² + (y2 - y1)²]
d = √[(4 - 8)² + (-7 - (-3))²]
d = √[(-4)² + (-7 +3)²]
d = √[16 + (-4)²]
d = √16 + 16
d = √32
d = 5.6568
d = 5.66 units
three more than five times the number of dogs find the algebraic expression
Answer: 5x+3
Step-by-step explanation: 3 more refers to addition so you are aware that 3 is the number that is being added in the equation, and 5 times refers to multiplication so you know 5 is being multiplied in the equation, which means the algebraic expression would be: 5x+3.
Solve the absolute value equation [x] - 2 = 5 to find the distance Mary can walk forward, x, in
5 seconds.
x = 7 m and x = -7 m
x=-3 m and x = 7 m
x = -7 m and x = 3 m
x = 3 m and x = -3 m
Answer:
the answer is x=7 and x=-7
Step-by-step explanation:
Solve the following expression when
m = 5 and d = 4
m2 + 2d + 8 + d
Answer:
answer is 45
Step-by-step explanation:
plz help me im crying
Answer:
B
Step-by-step explanation:
You just do 113,000 - 71,500= 41,500
Help me do this please!
Answer:
Step-by-step explanation:
Part a:
a. Slope for line 1: (0 + 1)/(8 - 4) = 1/4
b. Slope for line 2: (-6 - 2)/(2 - 0) = -8/2 = -4
c. Slope for line 3: (-6 + 7)/(-3 - 6) = -1/9
Part b:
Line 1 and Line 2: perpendicular
Line 1 and Line 3: neither
Line 2 and Line 3: neither
3k + 3n = 3(k+n)
is this
association axiom for addition or multiplication
Answer:
Yes it is ✔️✔️✔️
Axiom for multiplication
hope this helps uh
Looking at the labeled information in the figure below, create a statement that details a pair of angles (not already labeled) that are congruent because of corresponding parts of congruent
triangles
(Name the vertices in each angle in alphabetical order)
B
A
lion dose
Answer:
In triangles ΔBAE and ΔCED, which are congruent triangles, ∠ DBA is congruent to ∠CDB because corresponding parts of congruent triangles are Congruent, (CPCTC)
Step-by-step explanation:
The given information are;
In triangle ΔBAE and ΔCED, ∠EAB Alternate angles)is congruent to ∠ECD (
∠CED is congruent to ∠AEB (Vertically opposite angles)
Segment [tex]\overline {BA}[/tex] is congruent to segment [tex]\overline {DC}[/tex] (Given)
Therefore;
Triangle ΔBAE is congruent to ΔCED (Angle Angle Side AAS congruency rule)
Therefore, ∠ DBA is congruent to ∠CDB (Corresponding Parts of Congruent Triangles are Congruent, (CPCTC))
9x10^7 is how many times as large as 3x10^3
9x10^7
10x10=100x10=1,000
1,000x10=10,000
10,000x10=100,000
100,000x10=1,000,000
1,000,000x10=10,000,000
10,000,000x9=90,000,000
3x10^3
10x10=100x10=1,000
1,000x3=3,000
90,000,000/3,000=30,000
So 9x10^7 is 30,000x larger than 3x10^3
hope it helps!
9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.
What is Exponents?The number of times a number has been multiplied by itself is referred to as an exponent.
The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
Given:
9x [tex]10^7[/tex]
The number [tex]10^7[/tex] can be expanded as
[tex]10^7\\[/tex] = 10,000,000
and, 9x [tex]10^7[/tex] = 9 x 10,000,000
= 90,000,000
The number [tex]10^3[/tex] can be expanded as
[tex]10^3[/tex] = 1000
and, 3 x 10³ = 3 x 1000
= 3000
Then, 90,000,000/3,000
=30,000
Hence, 9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.
Learn more about Exponents here:
https://brainly.com/question/5497425
#SPJ2
Solve the equation below
Answer:
A)2A/h-b2
Step-by-step explanation:
A=h(b1+b2)/2
2A=b1h+b2h
2A-b2h=b1h
b1=2A-b2h/h
b1=2A/h-b2h/h
b1=2A/h-b2
Hope it is helpful for you
Please follow me
and mark me the brainest PLEASE
Subtitution .HELP ME
Answer:
x = 2
y = 3
Step-by-step explanation:
x = 3y - 4
5x + 2y = 31 in the second equation replace x with 3y - 4
5 (3y - 4 ) + 2y = 31 multiply 5 with inside the parenthesis
15y - 20 + 2y = 31 add like terms
17y = 51
y = 3
Now, since we found the value of y we can use it to calculate x
x = 3y - 4
x = 3×3 - 4
x = 2
Abed says he has written a system of two linear equations that has an infinite number of solutions. one of the equations of the system is y=3x-1. which could be the other equation?
Answer:
[tex]ay=3ax-a[/tex]
Step-by-step explanation:
to have an infinite number of solutions it must be the same line
so the other equation must be
[tex]ay=3ax-a[/tex]
fo [tex]a[/tex] a known value
Answer:
c
Step-by-step explanation:
edge 2020 Dec 9
Your school is 20 blocks east and 12 blocks south of your house. The mall is 10 blocks north and 7 blocks west of your house. You plan on going to the mall right after school. Find the distance between your school and the mall assuming there is a road directly connecting the school and the mall. One block is 0.1 mile. Round your answer to the nearest tenth of a mile.
Your school is 20 blocks east and 12 blocks south of your house. The mall is 10 blocks north and 7 blocks west of your house. You plan on going to the mall right after school. Find the distance between your school and the mall assuming there is a road directly connecting the school and the mall. One block is 0.1 mile. Round your answer to the nearest tenth of a mile.
Answer:
3.5 miles
Step-by-step explanation:
The straight line distance from the school to the mall is found using the Pythagorean theorem. That distance is the hypotenuse of a triangle that is 27 blocks in the east-west direction and 22 blocks in the north-south direction.
d = √(27^2 +22^2) = √1213 ≈ 34.83 . . . blocks
Since each block is 0.1 miles, the distance in miles is ...
distance to mall = (0.1 miles/block)(34.83 blocks) = 3.483 miles
Rounded to tenths, the distance from school to mall is 3.5 miles.
Write the expression for the perimeter of the triangle below.Simplify.Must show work(Formula for Perimeter is P=S+S+S)
Answer:
4x
Step-by-step explanation:
P = S + S + S
P = x + x + 3 + 2x - 3
P = 4x
• Cowes 5 dollars.
• D has 10 more dollars than E.
• F has 8 more dollars than E.
. E has no money and owes no money.
• A is the opposite of D.
• B has 4 dollars less than D.
(a) A =
(c) C =
(e) E-
(b) B =
(d) D =
(f) F =
What is the sum and classification of 3/20 + the square root of 10 and is it rational
Answer:
The correct option is 1
Step-by-step explanation:
Given the number . we have to identify the number is rational or irrational
As we know is irrational
i.e
The above number is irrational as it is non repeating and non-termination number after decimal.
As the sum of a rational and an irrational must be irrational
∴ is irrational which gives the sum 3.31227766....
hence, the correct option is 1)
could somebody please help me graph this function?? 40 points <3
Answer:
root (0,0)
domain x= all reall numbers
range y= all real numbers
Vertical intercept (0,0)
help solve this please
Answer:
h=18/7
Step-by-step explanation:
2/21=h/27
21 h=54
h=54/21 common factor 3
h=18/7
y+9÷2=y-3÷4-(y/3)
pls help
Answer:
y = - [tex]\frac{63}{4}[/tex] or - 15.75
Step-by-step explanation:
Order of operations.
y + [tex]\frac{9}{2}[/tex] = y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex] Subtract y from each side.
y - y + [tex]\frac{9}{2}[/tex] = y - y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]
[tex]\frac{9}{2}[/tex] = - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex] Add [tex]\frac{3}{4}[/tex] to each side
[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]
[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex] Find the common denominator for [tex]\frac{9}{2}[/tex] and [tex]\frac{3}{4}[/tex], which is 4
[tex]\frac{9}{2}[/tex] * [tex]\frac{2}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]
[tex]\frac{18}{4}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]
[tex]\frac{21}{4}[/tex] = - [tex]\frac{y}{3}[/tex] Multiply each side by 3
[tex]\frac{21}{4}[/tex] * 3 = - [tex]\frac{y}{3}[/tex] * 3
[tex]\frac{63}{4}[/tex] = - y Divide each side by -1
y = - [tex]\frac{63}{4}[/tex] = - 15 [tex]\frac{3}{4}[/tex]
y = - 15.75
Step-by-step explanation:
There are 2 scenarios below. One without parenthesis and the second with. I believe the second one is your question.
y+9÷2=y-3÷4-(y/3)y - y + y/3 = - 3/4 - 9/2 ⇒ combining like termsy/3 = -3/4 - 18/4y/3 = -21/4y = -21/4*3y = -63/4y = - 15 3/4===============
(y+9)÷2=(y-3)÷4-(y/3)12*(y+9)/2 = 12* (y-3)/4 - 12*y/3 ⇒ this is to get rid of fraction6(y+9) = 3(y-3) - 4y6y + 54 = 3y - 9 - 4y6y + 54 = - y - 96y + y = - 9 - 547y = - 637y/7 = -63/7y = -9Use the distributive property to find the value of 8(10 + 9).
152
82
89
97
the length of side AB is twice the length of side AC. Write an expression for the perimeter of the triangle
P = 3AC + BC
Step-by-step explanation:AB = 2AC
P = AB + AC + BC
replace AB
P = 2AC + AC + BC
P = 3AC + BC
Round each decimal number to the nearest tenth. Then, select the best estimate for the addition equation 3.14 + 0.62 = ___.
Answer:
3.7
Step-by-step explanation:
3.14 + 0.62 = ___.
Step 1
Round each decimal to the nearest tenth
3.14 to the nearest tenth = 3.1
0.62 to the nearest tenth = 0.6
Step 2
Solve the addition equation
= 3.1 + 0.6
= 3.7
Answer:
3.7
Step-by-step explanation:
3.14 + 0.62 = ___...........
Step 1
Round each decimal to the nearest tenth
3.14 to the nearest tenth = 3.1
0.62 to the nearest tenth = 0.6
what is the answer to x/-4 <16
[tex]\frac{x}{-4} < 16[/tex]
16 yı karşıya at;
x/-4-16<0
(-x-64)/4<0
-x-64<0
-64<x
x>-64
Answer:
x > −64
I hope this helps!