Jamie needs to build a fence around his garden , as illustrated by polygon ABCDEF on the coordinate grid below.If each unit represents one yard, what is the total length of Jamie’s fence in yards ?
A.20 yards
B.23 yards
C.26 yards
D.45 yards
Answers
Answer:
C. 26 yards
Step-by-step explanation:
Total length of Jamie's fence = sum of all distances from one vertex of the polygon to another = AB + BC + CD + DE + EF + FA
Use the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find the distance between vertexes.
Distance between A(-5, 5) and B(0, 5)
Let,
[tex] A(-5, 5) = (x_1, y_1) [/tex]
[tex] B(0, 5) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(0 -(-5))^2 + (5 - 5)^2} [/tex]
[tex] AB = \sqrt{(5)^2 + (0)^2} [/tex]
[tex] AB = \sqrt{25 + 0} = \sqrt{25} [/tex]
[tex] AB = 5 [/tex]
Distance between B(0, 5) and C(4, 2)
Let,
[tex] B(0, 5) = (x_1, y_1) [/tex]
[tex] C(4, 2) = (x_2, y_2) [/tex]
[tex] BC = \sqrt{(4 - 0)^2 + (2 - 5)^2} [/tex]
[tex] BC = \sqrt{(4)^2 + (-3)^2} [/tex]
[tex] BC = \sqrt{16 + 9} = \sqrt{25} [/tex]
[tex] BC = 5 [/tex]
Distance between C(4, 2) and D(1, -2)
Let,
[tex] C(4, 2) = (x_1, y_1) [/tex]
[tex] D(1, -2) = (x_2, y_2) [/tex]
[tex] CD = \sqrt{(1 - 4)^2 + (-2 - 2)^2} [/tex]
[tex] CD = \sqrt{(-3)^2 + (-4)^2} [/tex]
[tex] CD = \sqrt{9 + 16} = \sqrt{25} [/tex]
[tex] CD = 5 [/tex]
Distance between D(1, -2) and E(-2, -2)
Let,
[tex] D(1, -2) = (x_1, y_1) [/tex]
[tex] E(-2, -2) = (x_2, y_2) [/tex]
[tex] DE = \sqrt{(-2 - 1)^2 + (-2 -(-2))^2} [/tex]
[tex] DE = \sqrt{(-3)^2 + (0)^2} [/tex]
[tex] DE = \sqrt{9 + 0} = \sqrt{9} [/tex]
[tex] DE = 3 [/tex]
Distance between E(-2, -2) and F(-5, 2)
Let,
[tex] E(-2, -2) = (x_1, y_1) [/tex]
[tex] F(-5, 2) = (x_2, y_2) [/tex]
[tex] EF = \sqrt{(-5 -(-2))^2 + (2 -(-2))^2} [/tex]
[tex] EF = \sqrt{(-3)^2 + (4)^2} [/tex]
[tex] EF = \sqrt{9 + 16} = \sqrt{25} [/tex]
[tex] EF = 5 [/tex]
Distance between A(-5, 5) and F(-5, 2)
Let,
[tex] A(-5, 5) = (x_1, y_1) [/tex]
[tex] F(-5, 2) = (x_2, y_2) [/tex]
[tex] FA = \sqrt{(-5 -(-5))^2 + (2 - 5)^2} [/tex]
[tex] FA = \sqrt{(0)^2 + (-3)^2} [/tex]
[tex] FA = \sqrt{0 + 9} = \sqrt{9} [/tex]
[tex] FA = 3 [/tex]
Total length of Jamie's fence in yards = 5 + 5 + 5 + 5 + 3 + 5 + 3 = 26 yards
Related Questions
Which set of ordered pairs does not represent a function?
{(-4, 2), (2,3), (-7,2), (-9, -4)}
{(2,5),(-8,6), (8,3), (-8,-4)
{(1, -7), (-8,-6), (-9,-6), (-1,-2)}
{(2, 2), (-9,-8), (-4,-5), (8, 2)}
Answers
Answer:
{(2,5),(-8,6), (8,3), (-8,-4)
Step-by-step explanation:
B/C -8 repeats twice in the x-axis which is wrong
What is the anwer to (1/8)^1/3
Answers
Answer:
1/8 ^ 1/3 =
1/2 or 0.5
Answer:
[tex] \dfrac{1}{2} [/tex]
Step-by-step explanation:
[tex] (\dfrac{1}{8})^\frac{1}{3} = \sqrt[3]{\dfrac{1}{8}} = \dfrac{\sqrt[3]{1}}{\sqrt[3]{8}} = \dfrac{1}{2} [/tex]
Josh examines the expression of 5-m/5m where m is greater than z.
Answers
Answer:
what is z
Step-by-step explanation:
✨HELP PLZ ✨ You are planning on going swimming at the pool with some friends during the summer. You can buy a summer pass for $33 or you can pay $3 to get a daily pass. How many days do you have to go for the totals to be the same?
Answers
Answer:
You would have 11 days for both passes because 3 times 11=33 and 33 divided 3= 11.
Answer: 11 days
Step-by-step explanation: You would only be able to go for 11 days because 11 multiplied by 3 equals 33.
What is 5x + 3y ≥ 75 in slope intercept form?
Answers
Answer:
y >= 25 - 5x/3
Step-by-step explanation:
5x + 3y >= 75
-5x -5x
3y >= -5x + 75
3y/3 >= (-5x+75)/3
y >= 25 - 5x/3
Evaluate the expression 12 + {-4 + 2[1 + 3(-5 – 3)]} .
Answers
Answer:
-38
Step-by-step explanation:
Simplify i^82 pls...thanks :)
I'LL GIVE 30 POINTS AND BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
-1
Step-by-step explanation:
I simplified the expression using the definition of an imaginary number i=√1
First I applied the exponent rule: [tex]a^{bc}=\left(a^b\right)^c[/tex]
[tex]i^{82} = \left(i^2\right)^{41}[/tex]
[tex]=\left(i^2\right)^{41}[/tex]
Then, I applied the maginary number rule: [tex]\:i^2=-1[/tex]
[tex]=\left(-1\right)^{41}[/tex]
Then I used the exponent rule again: [tex]\left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}[/tex]
[tex]\left(-1\right)^{41}=-1^{41}[/tex]
[tex]=-1^{41}[/tex]
Sooo, [tex]1^{41}=1,[/tex] which equals =-1.
Which of the following is a source of income?
A. Timeshare
B. Employment
C. House purchase
D. FICA
Answers
B.Employment...
Hope it helps..plz mark as brainlist..What Is 1+1X4-2 This Is Easy
Answers
Answer: 3
Step-by-step explanation: PEMDAS
First you multiple 1 and 4 then add 1 and subtract it by 2/
Answer:
0
Step-by-step explanation:
1 x 4 = 1 1 + 1 = 2 2 - 2 = 0
Given the points A(-1, 2) and B(7,6), find the coordinates of the point P on the
directed line segment that partitions in the ratio 1:3. Plot P along with
segment AB
ot
Answers
Answer:
plot ab is right just had the test
Find the amplitude of y = -2 sin x.
-2π
2π
2
pi divided by two
Answers
Answer:
Find the amplitude of y = -2 sin x.
-2π
2π
2
pi divided by two
Step-by-step explanation:
help
ASAP WORK PLZ Given the function f(x)=x^2+2x+1, find: f(1/4)
Answers
Step-by-step explanation:
[tex]f(1 \div 4) = {(1 \div 4)}^{2} + 2(1 \div 4) + 1 \\ = {625 \times 10}^{ - 4} + 0.5 + 1 \\ = 1.5 + 0.0625 \\ = 1.5625[/tex]
Answer:
25/16
Step-by-step explanation:
f(1/4) means that we're plugging in 1/4 for x in the given function.
Our function is:
f(x) = x² + 2x + 1
Plug 1/4 in for x:
f(1/4) = (1/4)² + 2 * (1/4) + 1 = 1/16 + 2/4 + 1 = 1/16 + 8/16 + 16/16 = 25/16
Thus, the answer is 25/16.
~ an aesthetics lover
alias's hair grows at a rate of about 1/2 inch per month. how many months will it take her hair to grow 8 inches?
Answers
Answer:
16 months to grow hair to 8 inches
Answer:
16
Step-by-step explanation:
So we know that one month = [tex]\frac{1}{2}[/tex] inch.
As a result, two months = 1 inch.
Double that.
4 months = 2 inches
8 months = 4 inches.
16 months = 8 inches.
It's always a 2:1 ratio.
~theLocoCoco
The owner of a food cart sells an average of 120 frozen treats per day during the summer which graph best shows this relationship between the number of days and the number of frozen treats sold
Answers
Answer:
here is one of the graphs search up dot t l 805 s the next is search up dot
Grapes are priced at $2.25 per pound. Which of the followi ill edit this comment later maybe search up the question u asked for a diffrent one
Step-by-step explanation:
The graph that best shows the relationship between the number of days and the number of frozen treats sold will be a straight line with slope of 120 and will pass through origin. the equation representing the scenerio would be y = 120x
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
Equation : y = Kx also represent constant proportionality.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is the owner of a food cart sells an average of 120 frozen treats per day during the summer.
The given situation represents a direct proportionality between the number of frozen treats sold vs the number of days. The graph that best shows this relationship between the number of days and the number of frozen treats sold will be a straight line with slope of 120 and will pass through origin. Mathematically, the equation would be -
y = 120x
Therefore, the graph that best shows the relationship between the number of days and the number of frozen treats sold will be a straight line with slope of 120 and will pass through origin. the equation representing the scenerio would be y = 120x
To solve more questions on straight lines, visit the link below-
brainly.com/question/29030795
#SPJ6
Use a number line to find the quotient
3/5 divided by 3/10
(———————————)
Answers
Answer:
2 ( plot the answer on 2)
Step-by-step explanation:
We do the reciprocal of 3/10 because we are dividing fraction. Which would be 10/3. Change the sign to multiplication because we are dividing fractions. And multiply regularly. SO it would be 3/5 times 10/3 = 2
JK in the coordinate plane has endpoints with coordinates (-4, 11) and (8,
1)
Suppose J, P, and K are collinear on JK and JP:JK = }. What are the coordinates of P?
The coordinates of P are
Answers
Answer:
(0, 7)
Step-by-step explanation:
Given:
J(-4, 11)
K(8, -1)
JP:JK = 1/3
Required:
Coordinates of P
SOLUTION:
Use the formula, [tex] (x, y) = (x_1 + k(x_2 - x_1), y_1 + k(y_2 - y_1)) [/tex] to find the coordinates of point P, that partition the segment JK into the ratio 1/3.
Let,
[tex] J(-4, 11) = (x_1, y_1) [/tex]
[tex] K(8, -1) = (x_2, y_2) [/tex]
[tex] k = \frac{1}{3} [/tex]
Thus, plug in the values as follows:
[tex] P(x, y) = (-4 + \frac{1}{3}(8 -(-4)), 11 + \frac{1}{3}(-1 - 11) [/tex]
[tex] P(x, y) = (-4 + \frac{1}{3}(12), 11 + \frac{1}{3}(-12) [/tex]
[tex] P(x, y) = (-4 + \frac{12}{3}, 11 + \frac{-12}{3}) [/tex]
[tex] P(x, y) = (-4 + 4, 11 + (-4) [/tex]
[tex] P(x, y) = (0, 7) [/tex]
The coordinates of point P, are (0, 7)
Please help ASAP 15 points
Answers
<a = 51 degree
<b = 129 degree
<c = 51 degree
<d = 129 degree
<e = 51 degree
<f = 129 degree
<g = 51 degree
<h = 129 degree
Consider the table that includes the input and output
values of a function.
X
2.
3
4
5
6
f(x)
-23
-33
-47
-65
-87
Which answer classifies the function using finite
differences?
The function is quadratic with a constant second
difference of 4
The function is quadratic with a constant second
difference of 4.
The function is cubic with a constant third difference
of -4.
The function is cubic with a constant third difference
of 4.
Answers
Answer:
The function is quadratic with a constant second difference of -4.
Step-by-step explanation:
I know this for sure because this is one of the questions I got correct on my quiz.
JK= 4x+3,
JL= 47,
KL= 9x+5
Find KL
Answers
Answer:
x = 3Step-by-step explanation:
JK + KL = JL
(4x + 3) + (9x + 5) = 47
4x + 9x = 47 - 3 - 5
13x = 39
x = 39 / 13
x = 3
How much greater is the sum of the first 100 triangular numbers than the sum of the first 99 triangular numbers? Answer: It is bigger.
Answers
Answer:
First, a triangular number can be written as:
Tₙ = (n^2 + n)/2
where n is the number of our triangular number, n = 1 represents the first one, n = 2 represents the second one, etc.
The sum of the first 100 triangular numbers is:
S1 = (T₁ + T₂ + ... + T₉₉ + T₁₀₀)
The sum of the first 99 triangular numbers is:
S2 = (T₁ + T₂ + ... + T₉₉)
Then the difference will be:
D = S1 - S2 = (T₁ + T₂ + ... + T₉₉ + T₁₀₀) - (T₁ + T₂ + ... + T₉₉) = T₁₀₀
And we can find the value of T₁₀₀ if we use the equation for triangular numbers:
T₁₀₀ = (100^2 + 100)/2 = 5,050
Answer:
First of all I don't understand either, and I got it wrong.
Step-by-step explanation:
The diference between
12•6 and a number
is 5•4. find two possible values for thenumber
Answers
Answer:
18, 7.4 (if its 12.6) and 52, 92 (if its 12x6)
Step-by-step explanation:
Beth poured the same amount of juice into 10 glasses. She used 2 quarts of juice. How much juice is in each glass? Here are the choices:
A: 2/10
B: 10/2
C: 2/10 of 2
D: 2/5
Answers
Answer:
A: 2/10
Step-by-step explanation:
She's pouring the 2 quarts into 10 cups, therefore if you drew it out, the amount each cup would have 1/5(or 2/10) of the quart.
Solve. 4x + 3 = 47
A. x = 11
B. x = 40
C. x = 44
D. x = 50
Solve. one-third x = 12
A. x = 4
B. x = 15
C. x = 36
D. x = 39
Solve. 3x + 3 = 21
A. x = 5
B. x = 6
C. x = 18
D. x = 36
Solve. Start Fraction 3 over 2 End Fraction x – 4 = 16
A. x = 20
B. x = 13 start fraction 1 over 3 end fraction
C. x = 15 start fraction 1 over 3 end fraction
D. 30
Use the given equation to find the solution to the following problem.
The equation 9.95 + 0.30s = c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded. Find the cost of downloading 35 songs.
A. c = $9.95
B. c = $20.45
C. c = $35.00
D. c = $114.45
Write an equation and solve to find the solution to the following problem.
You have $27 to spend at the mall and a coupon for $6 off at your favorite store. A t-shirt costs $11. How many t-shirts can you buy using your coupon and money?
A. 1 shirt
B. 2 shirts
C. 3 shirts
D. 4 shirts
Answers
$27.00-6.00=21.00
21.00-11.00=10.00
A
A pizza shop charges $9 for a large cheese pizza. Additional toppings cost $1.25 per topping. Heather has$16.00 for her large pizza. How many toppings can she order?
Answers
Answer: Heather can order 5 toppings
Step-by-step explanation:
topping one: $10.25
topping two: $11.50
topping three: $12.75
topping four: $14.00
topping five: $15.25
If she gets any more toppings she won't have enough.
5 Toppings Total
What is h=v/b? H=__in
Answers
Toni ran 45 mile in 15 hour. Write an equation for the distance in miles y that she ran in x hours if she ran at a constant rate.
Answers
Answer:
y=4x
this is an equation for the distance in miles y that she ran in x hours is she ran at a constant rate
Please help! I'm timed!
Answers
the answer should be (3,2) since it's in the shaded region
Answer:3,2
Step-by-step explanation:it is on the line
The _____ is the part of a conditional statement that expresses the conditions that must be met by the statement.
Answers
Answer:
hypothesis
Step-by-step explanation:
Answer:
The hypothesis is the part of a conditional statement that expresses the conditions that must be met by the statement.
Step-by-step explanation:
Hope this helped you!
The value of 2.52 is 100. True False
Answers
Answer:
False
Step-by-step explanation:
Sorry if I’m wrong I tried my best
3 (x-3)=6 solve for x
Answers
Answer: x = 5
Step-by-step explanation:
3( x - 3 ) = 6
Divide 3 on both sides
x - 3 = 2
Add 3 on both sides
x = 5
