Fran and Alex ride their bicycles from school. Fran rides 3 miles west and 2 miles south to get home. Alex rides 4 miles east and 3 miles north to get home. How many miles apart are Fran's and Alex's homes?
Answer:
The number of miles the homes of Fran's and Alex's homes are apart is approximately 8.602 miles
Step-by-step explanation:
The given displacements, d in vector form are;
For Fran;
3 miles west and 2 miles south gives d₁ = -3·i - 2·j
For Alex;
4 miles east and 3 miles north gives d₂ = 4·i + 3·j
The number of miles apart between Fran's and Alex's homes = d₂ - d₁
d₂ - d₁ = 4·i - (-3·i) + 3·j - (-2·j) = 7·i + 5·j
∴ The number of miles between Fran's and Alex's homes = 7·i + 5·j
The magnitude in miles in the distance between Fran's and Alex's homes = √(7² + 5²) = √74
∴ The magnitude in miles in the distance between Fran's and Alex's homes ≈ 8.602 miles
The magnitude in miles in the distance between Fran's and Alex's homes = The number of miles the homes of Fran's and Alex's homes are apart
∴ The number of miles the homes of Fran's and Alex's homes are apart ≈ 8.602 miles
PLSSSS HELP ME I WILL GIVE BRAINLIEST, A HEART, AND 5 STARS PLSSS HELP ME THIS IS DUE BY THE END OF TODAY
Answer:
who wanna talk im bored
Answer:
B
Step-by-step explanation:
One number is 6 less than another number. Their sum is 50. What is the smaller number?
If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?
x + y = 50 and -x + y = 6
x + y = 50 and x - y = 6
x + y = 50 and x + y = 6
x - y = 50 and x + y = 6
Answer:
y = 2x - 6
Step-by-step explanation:
a bag contains 10 red marbles, the ratio of red marbles to blue marbles is 5 to 1 find the numbers of blue marbles in the bag
Answer:
The Answer is 2 blue marbles.
Step-by-step explanation:
The numbers of blue marbles in the bag will be 2.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Here it is given that :
a bag contains = 10 red marbles
the ratio of red marbles to blue marbles is = 5:1
That is :
5 ratio of marbles is equals to = 10 marbles
now,
1 ratio of marbles is equals to = 2 marbles
Therefore, the numbers of blue marbles in the bag will be 2.
Read more about ratio at:
https://brainly.com/question/17869111
#SPJ2
The diagonals of this rhombus are 8 and 16 units long. Their intersection creates four right angles, two 4-unit-long segments, and two 8-unit long segments. Given this information, find the area of the rhombus in square units (Use only the digits 0 – 9 and the decimal point, if needed, to enter a number).
Answer:
[tex]64\ \text{sq. units}[/tex]
Step-by-step explanation:
Area of a rhombus is the product of the length of the diagonals divided by two.
Length of one diagonal is 8 units and the other diagonal is 16 units
Area is given by
[tex]A=\dfrac{8\times 16}{2}\\\Rightarrow A=64\ \text{sq. units}[/tex]
The area of the rhombus is [tex]64\ \text{sq. units}[/tex]
Another approach is the diagonals have created 4 triangles where the base and is height is either 4 units long or 8 units long so the area of the rhombus would be the area of the 4 triangles.
[tex]A=4\times \dfrac{1}{2}\times 4\times 8\\\Rightarrow A=64\ \text{sq. units}[/tex]
What is the appropriate angle measure formed by a clock that reads 2 o clock
find the slope of the line that passes through the two given points (-5,7)and (3,-1)
Answer:
Slope=-1
Step-by-step explanation:
slope is ΔY/ΔX
ΔX = 3 – -5 = 8
ΔY = -1 – 7 = -8
1. It's a 3-digit whole number 2. It's divisible by 4 3. It's divisible by 5 4. It's divisible by 11 5. It's divisible by 3
Answer: 660 is divisible by 2,4, 5, 11 and 3
I don't understand this at all. Please help.
- A confused eighth grader.
Answer:
T
Step-by-step explanation:
All the other ones are functions because their relations all start with different numbers except T, where it has 3 two times.
can someone help me? (look at image)
Answer:
A- (1,-4)
B-(0,1)
C-(3,0)
(i think thats correct lol)
Step-by-step explanation:
help !! which one is it?
The third one is correct
Round 545 to the nearest hundred
Answer:
500
Step-by-step explanation:
Answer:
500
When rounding to the nearest hundred, like we did with 545 we use these rules
first you would have to round the number up to the nearest hundred if the last two digits in the number are 50 or above.
then you would have to round the number down to the nearest hundred if the last two digits in the number are 49 or below.
lastly you would have to see if the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
Can anyone help me with this
Answer:
About 5,357
Step-by-step explanation:
25*3=75
75/0.014= 5,357
HELP HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=0
Step-by-step explanation:
Anything to the power of 0 is 1
Answer:
x=0
Step-by-step explanation:
take the logarithm of both sides of the equation to remove the variable from the exponent.
what are the x intercepts of h(x) in h(x) = -x(x-2)
Step-by-step explanation:
symbolab would be a great thing to use, itll tell you the steps and the answer
find the slope of the line y=-3/8x-7/6
Answer:
The slope is -3/8
Step-by-step explanation:
Y= mx+b
m or mx is the slope while b is the y intercept
Eli has a loan of $24,650. This loan has a simple interest rate of 3% per year. What is the amount of interest that Eli will be charged on this loan at the end of two years?
Answer:
$1479
....,..........
Answer:
If your talking about how much they are going to pay ONLY interest for two years then it is $1,479. $1,479 is the amount of money they will be paying for two years ONLY FOR INTEREST.
Step-by-step explanation:
3% of 24,650 is 739.5. That is for one year. 739.5 times 2 for two years is 1,479. Just in interest they will be paying a total of 1479 for two years. Let me know if I'm right. This should be right though. Hope it helped :)
Help please I would really appreciate it
Answer:
5°
Step-by-step explanation:
4x+81=13x+36
answer is 5°
6. The graph of a linear function is shown on the coordinate grid.
101
(-4, 6)
x
20-9-8-7-
(1,-9)
What is the y-intercept of the graph of the linear function?
Answer:
From the graph, it is clear that:
at x=0, the value of y=-6Therefore, the y-intercept of the graph of the linear function: (0, -6)
Step-by-step explanation:
We know that the y-intercept of the graph of the linear function can be determined by setting x=0 and solving for y
As the graph crosses the y-axis at x=0From the graph, it is clear that:
at x=0, the value of y=-6Therefore, the y-intercept of the graph of the linear function: (0, -6)
Answer:
From the graph, it is clear that:
at x=0, the value of y=-6
Therefore, the y-intercept of the graph of the linear function: (0, -6)
Step-by-step explanation:
We know that the y-intercept of the graph of the linear function can be determined by setting x=0 and solving for y
As the graph crosses the y-axis at x=0
From the graph, it is clear that:
at x=0, the value of y=-6
Therefore, the y-intercept of the graph of the linear function: (0, -6)
5. AGHI is an isosceles triangle with a vertex angle H
If the M
Answer:
I can't help I cause u don't have questions to pick from
9
A beach ball has a diameter of 28 inches. Which expression uses the formula for the volume
of a sphere correctly?
(1 Point)
O 3/47 (14)
4/3(78)
O 4/37 (28)
4/377 (14)
Answer:
a ball strecker
Step-by-step explanation:
Which pair of polygons is congruent 1 and 2 3 and 4 3and 5 and 1 and 4
Answer:
i needa pic so i can answer it lol
Step-by-step explanation:
What is the vertex of this parabola? y= 2x² + 4x +5
Answer:
vertex = (- 1, 3 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = 2x² + 4x + 5 ← is in standard form
with a = 2, b = 4, then
[tex]x_{vertex}[/tex] = - [tex]\frac{4}{4}[/tex] = - 1
Substitute x = - 1 into the equation for corresponding value of y, that is
y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3
vertex = (- 1, 3 )
solve the system of linear equations by graphing x=3 y=-1/2
Answer:
x=5 hope this helps
Step-by-step explanation:
why sad? be happy :v
Answer:
Because two of my uncles got shot and my moms friend committed suicuide. This all happened this year. That’s why I’m sad.
Step-by-step explanation:
find the area of the circle
Answer:
200.96
Step-by-step explanation:
A = 3.14(8^2)
3.14 * 8 * 8
3.14 * 64
200.96
Answer:
if it is 1.1 times 8 that would be 8.8, but if it is just 11 times 8 that would be 88.
Step-by-step explanation:
I am saving up to buy a PS5, which costs $499. I already have $240 saved up and I get another $30 every week. When will I be able to buy a PS5? Express your answer with a table, graph, and equation.
Answer:
So if you have 259 and you need 499 subtract and you get 259 is how much you need 259 divided by 30 is 8.63333333333 rounding up you will need to wait about 9 more weeks
Step-by-step explanation:
Good luck and have fun!
In parallelogram PQRS if m
Answer:
m∠RSP = 130°
Step-by-step explanation:
In parallelogram,opposite angles are equal.
m∠RSP = m∠PQR
m∠RSP = 130°
Answer:
∠RSP=130
Step-by-step explanation:
It is given that ∠PQR = 130°
∴∠RSP = 130° (vertically opposite angles are equal in a parallelogram)
3х + 4 = 2х + 10
what is the answer? i’m struggling to work this out.
Answer:
x=3
Step-by-step explanation:
3x+4=2x+10
-3 -3
4= -1x+10
-10 -10
-6= -1x
divide by -1
x=6
Thats how you do it
Answer:
x=6
Step-by-step explanation:
first you have to subtract 4 from both sides
3x=2x+10-4
then simplify 2x+10-4 to 2x+6 so you will get
3x=2x+6
-2 -2
(^^you subtract 2x from both sides )
then you get your answer which is x=6
Mia’s office recycled a total of 9 pounds of paper over 3 weeks. After 7 weeks, how many pounds of paper will mia’s office have recycled
Answer:
12
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
You find the unit rate of 9:3 and its 3 then multiply three by 7 and thats
21.