Given:
Vertices of JKLM are J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2).
To find:
The perimeter P of a parallelogram JKLM.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]JK=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(-5-\left(-2\right)\right)^2}[/tex]
[tex]JK=\sqrt{\left(-5+3\right)^2+\left(-5+2\right)^2}[/tex]
[tex]JK=\sqrt{\left(-2\right)^2+\left(-3\right)^2}[/tex]
[tex]JK=\sqrt{4+9}[/tex]
[tex]JK=\sqrt{13}[/tex]
Similarly,
[tex]KL=\sqrt{\left(1-\left(-5\right)\right)^2+\left(-5-\left(-5\right)\right)^2}=6[/tex]
[tex]LM=\sqrt{\left(3-1\right)^2+\left(-2-\left(-5\right)\right)^2}=\sqrt{13}[/tex]
[tex]JM=\sqrt{\left(3-\left(-3\right)\right)^2+\left(-2-\left(-2\right)\right)^2}=6[/tex]
Now, perimeter P of ▱JKLM is
[tex]P=JK+KL+LM+JM[/tex]
[tex]P=\sqrt{13}+6+\sqrt{13}+6[/tex]
[tex]P=2\sqrt{13}+12[/tex]
[tex]P=2(3.61)+12[/tex]
[tex]P=7.22+12[/tex]
[tex]P=19.22[/tex]
[tex]P\approx 19.2[/tex]
Therefore, the perimeter P of ▱JKLM is 19.2 units.
What are two different methods you can use to withdraw money from your checking account?
Answer:
You can withdraw by automatic electronic transfer, check, ATM card or debit card. There are many ways these days to withdraw money from your accounts.If a class has 12 boys and 4 girls, what is the ratio of boys to girls written as a decimal? 0.33 0.75 3 4
Answer:
Pretty sure it's 3
Answer:
C 3
Step-by-step explanation:
4. Between which two whole
numbers does V150 lie?
Answer:
12 & 13
Step-by-step explanation:
trust me
7n-(4n-3) simply to create a equivalent expression?
Answer:
3n + 3
Step-by-step explanation:
Step 1:
7n - 4n + 3
Answer:
3n + 3
Hope This Helps :)
The equivalent expression is 3n + 3.
To simplify the expression 7n - (4n - 3), distribute the negative sign inside the parentheses:
7n - (4n - 3) = 7n - 4n + 3
Simplifying further, combine like terms:
7n - 4n + 3 = (7n - 4n) + 3 = 3n + 3
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A mother gives birth to a 9 pound baby. Every 2 months, the baby gains 3 pounds if x is the age of the baby in months,then y is the weight of the baby in pounds.
Find an equation of a line in the form y=Mx+b that describes the baby’s weight
Answer:
y=1.5x+9
Step-by-step explanation:
We can first write in 9 as b because the baby already started at 9 pounds, meaning the line showing the weight will also start from 9.
The question tells us that the baby grows 3 pounds every 2 months. In the equation, x represents months. We need to convert the rate of growth into 1 month to write in as the slope.
[tex]\frac{3pounds}{2 months} = \frac{1.5 pounds}{1 month}[/tex]
Now we know every month, the baby grows 1.5 pounds, which represents the rate of change, or M, in the equation.
I need to change the subject to x
Answer:
h) (x+4t²)/4= 3V
x+4t²= 4*3V
x+4t²=12V
x=12V-4t²
MN=√(3x-2)
(MN)²=3x-2
3x-2=(MN)²
3x=(MN)²+2
x= [(MN)²+2]/3
Is the ordered pair (-3,2) a solution to the equation 5x + 2y = -11
Step-by-step explanation:
(-3,2) is equal to (x,y)
x=-3 so 5x becomes 5x-3.
5x-3=-15
y=2 so 2y becomes 2x2.
2x2=4
-15+4=-11
T/F
True
So the answer is Yes, the ordered pair (-3,2) is a solution.
hope it helps!
Express the ratio AC/DF in simplest form
Answer:
[tex] \frac{n}{28 \: cm}[/tex]
Step-by-step explanation:
AC = n, DF = 28 cm
[tex] \huge \red{ \frac{AC}{DF} }= \purple{ \frac{n}{28 \: cm}} \\ [/tex]
please help with this as soon as possible
Answer:
98,000
Step-by-step explanation:
[tex]5^{4} *7^{5}* 2^{8}/16*125*7^{3}[/tex]
[tex]=5^{4} * 7^{5}* 2^{8} /2^{4} *5^{3} *7^{3}[/tex]
[tex]=5^{4-1} *7^{5-3} *2^{8-4}[/tex]
=[tex]5^{3} *7^{2} *2^{4}[/tex]
=[tex]125*49*16[/tex]
[tex]=98000[/tex]
Answer:
Step-by-step explanation:
Factorize all the numbers in numerator and denominator
16 = 2*2*2*2
125 = 5 *5 *5
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex], where m >n
[tex]\frac{5^{4}*7^{5}*2^{8}}{16*125*7^{3}}=\frac{5^{4}*7^{5}*2^{8}}{2^{4}*5^{3}*7^{3}}\\\\\\=5^{(4-3)}*7^{(5-3)}*2^{(8-4)}\\\\\\=5^1*7^2*2^{4}[/tex]
Rey is considering buying shares of TWA stock. The stock currently sells for $50 per share. The stock changes in value at 9:00 am each day, either increasing in value by $11 or decreasing in value by $13. The stock will increase in value with 40% probability, and decrease in value with 60% probability. The stock follows a random walk. In two days, what is the probability that the TWA stock is greater than $30
Answer: 64%
Step-by-step explanation:
Given the following :
Current price of stock = $50
Probability of increase per day = 40% = 0.4
Probability of decrease = 60% = 0.6
Value of increase = $11
Value of decrease = $13
Probability that stock is greater than $30 in two days :
For stock to be greater than $30 in two days ;
It either increases in both days or increases in a day and falls the other
Hence, probability that stock is greater than $30
P(increase and increase) OR P(increase and decrease) OR P(decrease and increase)
(0.4 × 0.4) + (0.4 × 0.6) + (0.6 × 0.4)
0.16 + 0.24 + 0.24 = 0.64
0.64 × 100 = 64%
A farmer rents pastureland for 8$ per acre plus a monthly fee of $200. Write an expression that can be used to find the total monthly cost. Then find the cost of renting 25 acres
Answer:
A. [tex] 8n + 200 [/tex], $400.
Step-by-step explanation:
Monthly rent per acre for pasture land = $8
Additional monthly fee = $200
Let n represent the number of acres.
Therefore, expression for the total monthly cost would be:
[tex] 8n + 200 [/tex].
If the farmer wants to rent 25 acres of pasture land, the expression, [tex] 8n + 200 [/tex], can be used in calculating the total cost by simply plugging in the value of n, which would be 25 in this case.
Total monthly cost for 25 acres = [tex] 8(25) + 200 [/tex].
[tex] = 200 + 200 [/tex]
[tex] 400 [/tex].
Total monthly cost = $400
For which values of a the system has no solution: x≤5, x≥a
Given:
The system of inequalities is
[tex]x\leq 5[/tex]
[tex]x\geq a[/tex]
To find:
The values of a for which the system has no solution.
Solution:
We have,
[tex]x\leq 5[/tex] ...(1)
It means the value of x is less than or equal to 5.
[tex]x\geq a[/tex] ...(2)
It means the value of x is greater than or equal to a
Using (1) and (2), we get
[tex]a\leq x\leq 5[/tex]
But if a is great than 5, then there is no value of which satisfies this inequality.
Therefore, the system has no solution for a>5.
Marissa drives from her house to work at an avg speed of 40mph. She drives home sameroute at 60mph. Entire round trip is 45 minutes, what is her avgspeed in mph?
Answer:
50mph
Step-by-step explanation:
to to find the mean you add 40 + 60. which equals 100 then divide by the amount a variables which is two.
Complete each ratio table to solve each problem.
11 To make 5 apple pies, you need about 2 pounds
of apples. How many pounds of apples do you need
to make 20 apple pies?
Answer:8 pounds to make 20 apple pies
ASAP
Sales tax is calculated as a percentage of the sales price. If sales tax is 6%, what is the sales tax on clot that cost 180
$6.00
O $9.80
$10.80
O $18.60
Please Help A) Find the perimeter B) The area of the rectangle
Answer:
A) 36.2m B) 70m
Step-by-step explanation:
5.6m + 5.6m = 11.2 m
12.5 + 12.5= 25 11.2 + 25 = 36.2m
Length x width equals area
12.5m = length and 5.6m= width
multiply 12.5 x 5.6= 70m
Analyze the diagram below and complete the instructions that follow. If ON = MN, find MN. A. 4 B. 5 C.4 sqrt{2}]. D 4 square root 30
Answer:
C. 4 sqr 2, sorry for the answer being late, hope this helps some one tho :)
Step-by-step explanation:
I took the quiz and got it correct
Answer:
The answer would indeed be C.
Step-by-step explanation:
Was in my test on edg.
These tables of values represent continuous functions. For which functions will the y-values be the greatest for very large values of x?
∆....A....∆
1 6
2 18
3 54
4 162
5 486
The function with the greatest y-values for very large values of x is C.
The y-values in function C increase at a much faster rate compared to the other functions as x becomes larger. In function C, the y-values are growing with a constant difference of 200 for each increase in x. This means that for every unit increase in x, the y-value increases by 200. This linear relationship results in significantly larger y-values for larger x-values.
On the other hand, the other functions (A, B, and D) do not exhibit such rapid growth. Function A has a cubic relationship, which does lead to larger values than a linear relationship, but it is still not as rapid as the linear increase in function C. Function B also has a linear relationship, but the constant difference between y-values is much smaller than in function C (only 75).
Function D has a constant difference of 5 between y-values, resulting in a very slow growth as x becomes larger.
In conclusion, function C has the greatest y-values for very large values of x due to its linear relationship with a constant difference of 200 between y-values for each unit increase in x.
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jonshelle is developing a new bread recipe. The relationship between cups of water, w, and cups of flour, f, is w=3/5f what is the scale factor of water to flour?
Answer:
The scale factor of water to flour is simply 3/5 or 3 to 5
Step-by-step explanation:
Here, we are interested in knowing the scale factor of water to flour.
To know this, we simply will rearrange the given equation;
w = 3/5f
Divide both side by f
w/f = 3/5
This shows that the scale factor of water to flour is 3 to 5 or simply 3/5
If the object has leaves, then it is a tree.
Answer:
False
Step-by-step explanation:
Answer:
false
Step-by-step explanatio
Fruits and vegatables have leaves too, but yet there not a tree
f(x)=3x 2 +16 Find f(-1)
Answer:
X-18/3
Step-by-step explanation:
Assuming you meant 3x+18
The inverse f(-1) of the equation is above.
A small Learning Center holds twenty-four less students than a large Learning Center. Together the Learning Centers hold seventy-two students. How many students does each Learning Center hold?
Answer:
A small learning center holds 48 students
Step-by-step explanation:
A small Learning Center holds twenty-four less students than a large Learning Center. Together the Learning Centers hold seventy-two students. How many students does each Learning Center hold?
72-24=48
Which of these cannot be a whole
number?
A a positive integer
B a negative integer
C a rational number
the opposite of g(x) is -9(x),
then -g(x) =
Please answer this!
Who invented maths?
Answer:
ancient greek invented math
solve the inequality 5f+7[tex]\leq[/tex]22
a f[tex]\geq[/tex]6
b f[tex]\leq[/tex]3
c f[tex]\leq[/tex]10
d f[tex]\geq[/tex]15
Answer:
[tex]f \leqslant 3[/tex]
Step-by-step explanation:
[tex]5f + 7 \leqslant 22 \\ 5f \leqslant 15 \\ f \leqslant 3[/tex]
In a particular town, 20% of the homes have monitored security systems. If an alarm is triggered, the security system company will contact the local police to alert them of the alarm. Of all the alarm calls that the local police receive, they only have the manpower to answer 30% of the calls. Suppose we randomly sample one home that was broken into over the last month from this town. What is the probability that this home has a monitored security system and that the police answered the alarm call?
Answer:
The probability to have both = 0.06
Step-by-step explanation:
Given:
Security system home = 20% = 0.2
Manpower for security calls = 30% = 0.3
Find:
The probability to have both
Computation:
The probability to have both = P(Security system home) × P(Manpower for security calls)
The probability to have both = (0.2)(0.3)
The probability to have both = 0.06
On January 1, 2009, Jessica owed $10,212 to her friend Sam, who was kind enough not to charge Jessica any interest. Each month during 2009, Jessica paid Sam some of the money she owed. If Jessica still owed Sam $6,612 on January 1, 2010, what was the average amount of Jessica's monthly payments?
Answer:
551
Step-by-step explanation:
6612 divided by 12 ( number of months) =551
5p · 1 = 5p is what property
Answer:
034579+&_9&__78'_&666
PLZ Help
This is due by 2:20
Answer:
The answer is 60 degrees.
Step-by-step explanation:
The three angles in any triangle add up to 180 degrees.
You know by the box at the bottom right that it's a right triangle and therefore that angle is 90 degrees. They also give you the 30 degree angle at the bottom left. So:
90 degrees + 30 degrees = 120 degrees.
180 degrees (total) - 120 degrees (first 2 angles) = 60 degrees (missing angle)
Hope this helps!