Answers
Step-by-step explanation:
AB=OB-OA
AB=[4,-2]-[-4,6]
AB=[8,-8],|AB|=8units
BC=OC-OB
BC=[-6,-4]-[4,-2]
BC=[-10,-2],|BC|=√104
AC=OC-OA
AC=[-6,-4]-[-4,6]
AC=[-2,-10],|AC|=√104
d. Based on the lengths of the sides,the triangle is isosceles
Related Questions
Cody's rent is increasing by $51 per month starting next year. That is an increase of 15% from his current monthly rent. Let r represent Cody's current rent. Set up an equation and solve it to find the value of r.
Answers
Answer:
[tex]r = 43.35[/tex]
Step-by-step explanation:
Given
[tex]Current\ Rent = r[/tex]
[tex]Increment = 15\%[/tex]
[tex]New\ Rent = \$51[/tex]
Required
Determine the value of r
The value of r can be set up percentage increase formula as follows:
[tex]\%Increment = \frac{New\ Rent - Current\ Rent}{Current\ Rent}[/tex]
Substitute values in the above equation
[tex]15\% = \frac{51 - r}{51}[/tex]
Cross Multiply
[tex]51 - r = 15\% * 51[/tex]
Convert percentage to decimal
[tex]51 - r = 0.15 * 51[/tex]
[tex]51 - r = 7.65[/tex]
And the value of [tex]r\ is\ calculated\ using:[/tex]
[tex]r = 51 -7.65[/tex]
[tex]r = 43.35[/tex]
Hence, Cody's current rent is $43.35 monthly
What does ‘b” represent in y=mx+b
Answers
Answer:
In the equation y = mx + b for a straight line, the. number b is called the y-intercept of the line.
Step-by-step explanation:
Given that f=cd3, f=450 and d =10 what is c?
Answers
Answer:
15
Step-by-step explanation:
450=c*10*3 divide by 10
45=c*3 divide by 3
c=15
Answer:
c = 15
Step-by-step explanation:
f = c × d × 3450 = c × 10 × 3 10 × 3 = 30450 = c × 30(Divide both sides by 30 to find c)
4. 450 ÷ 30 = 15
5. 15 = c
Hope this helps. Even if Maths is not my fortè. :)
On a thermometer, how many times farther below the freezing point of water (0°C) is the January low for Nuuk than the August low for Isla Hoste?
Answers
Answer:On the average, the average low in January for Nuuk is 10/3 or 3.333 times farther below the freezing point of water than the average low for Isla Hoste in August.
Step-by-step explanation:
A movie theater sends out a coupon for 80% 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
Answers
Answer:
The Equation for the situation is written as
y = 0.8x
Step-by-step explanation:
y is the price of the ticket with the coupon
x is the original price of the ticket
A movie theater sends out a coupon for 80% off the price of a ticket.
This is expressed algebraically as:
80% × x
80/100 × x
= 0.8x
Therefore, the Equation for the situation is written as
The price of the ticket with the coupon:
y = 0.8x
Please help due in 10 minutes
Answers
Answer:
the second one
Step-by-step explanation:
6x-15
find DC round to the nearest tenth
Answers
Answer:
42
we can use trigonometric ratios (cos, sin, tan) to solve this
[tex]cos(54)=AD/20\\20cos(54)=AD\\AD=12\\[/tex]
Using the pythagorean theorum we see that BD is 16
now we can use tan to solve for DC
[tex]tan(28)=16/DC\\DC=16/tan(28)\\DC=30\\30+12=42; AC=42[/tex]
Step-by-step explanation:
Step-by-step explanation:
30.53
loooooooooooooooooooooool
A vanilla thickshake is $2 more than a fruit juice. If 3 vanilla thickshakes and 5 fruit juices cost $30, determine their individual prices using simultaneous elimination
Answers
Answer:
vanilla thickshake = $5
fruit juice = $3
USING ELIMINATION METHOD
Let the price of vanilla thickshake = x
Let the price of fruit juice = y
Given that a vanilla thickshake is $2 more than a fruit juice.
so
x = 2+y ...... (Equation 1)Given that If 3 vanilla thickshakes and 5 fruit juices cost $30.
3x+5y=30 ...... (Equation 2)So the system of equations
[tex]x = 2+y[/tex]
[tex]3x+5y = 30[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}x-y=2\\ 3x+5y=30\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}x-y=2\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:3x-3y=6[/tex]
[tex]\begin{bmatrix}3x-3y=6\\ 3x+5y=30\end{bmatrix}[/tex]
so
[tex]3x+5y=30[/tex]
[tex]-[/tex]
[tex]\underline{3x-3y=6}[/tex]
[tex]8y=24[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}3x-3y=6\\ 8y=24\end{bmatrix}[/tex]
solve 8y = 24 for y
[tex]8y=24[/tex]
Divide both sides by 2
[tex]\frac{8y}{8}=\frac{24}{8}[/tex]
[tex]y=3[/tex]
[tex]\mathrm{For\:}3x-3y=6\mathrm{\:plug\:in\:}y=3[/tex]
[tex]3x-3\cdot \:3=6[/tex]
[tex]3x-9=6[/tex]
[tex]3x=15[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{15}{3}[/tex]
[tex]x=5[/tex]
Therefore,
The price of fruit juice = y = 3The price of vanilla thickshake = x = 5
2ND METHOD
Step-by-step explanation:
Let the price of fruit juice = xAs a vanilla thickshake is $2 more than a fruit juice.
Thus the price of thickshake vanilla = x+2Given that 3 vanilla thickshakes and 5 fruit juices cost $30.
3(Vanilla thickshakes) + 5(fruit juice) = 30
3(x+2) + 5x = 30
3x+6+5x=30
8x+6=30
8x=30-6
8x=24
x = 3
Thus,
The price of fruit juice = x = $3The price of vanilla thickshake = x+2 = 3+2 = $5A car is traveling at a steady speed. It travels 1 1/2 miles in 2 1/4 minutes. How far will it travel in 40 minutes? In 1 hour
Answers
Answer:
Answer: The car will travel 29 1/3 miles in 44 minutes, 40 miles in an hour
Step-by-step explanation:
1 1/2x2 1/4 = 2/3
Multiply that by your minutes (25) and you will get 16.6666
Convert to a fraction and u will get 16 2/3 miles in 25 minutes
40 miles in an hour
You want to buy a new bike, and your parents will contribute $32.50 toward the cost of the bike. If the most
expensive bike is $50.00, how much will you have to spend on the bike? Solve the following inequality 50.00 2
32.50 + x and graph its solution.
Answers
Answer:
b
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
So the symbol 2 means that its greater than or equal to the number.
If 50 + 32.50 is 82.5 than the number is equal to 82.5. (hope this helps)
What is the slope of the line?
AS SOON AS POSSIBLE PLEASE!!
Answers
What is the measure of RST shown in the diagram below?
Answers
Answer:
dsdsdsdsdsdssdsddddddddd
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is 4/7 - 1/2 I need help
Answers
Answer:
1/14
Step-by-step explanation:
Hope this helps!!
Mark brailyest please°°°°°
Answer:
1/14
Step-by-step explanation:
convert 4/7 into 8/14 and 1/2 into 7/14 and then subtract 8/14 and 7/14
what is 30,000 rounded to the nearest ten thousand
Answers
Answer:
30,000_10,000=20,000
A new health drink has 120% of the recommended daily allowance (RDA) for a certain vitamin is 40 MG. How many milligrams of the vitamin are in the drink?
Answers
Answer:
We conclude that the number of milligrams of the vitamin in the drink will be: 48 mg
Step-by-step explanation:
The amount of certain Vitamin = 40 mg
Given that a new health drink has 120% of the recommended daily allowance (RDA) for a certain vitamin is 40 MG.
Thus,
The number of milligrams of the vitamin in the drink:
120% of 40
= [120/100] × [40]
= 1.2 × 40
= 48
Therefore, we conclude that the number of milligrams of the vitamin in the drink will be: 48 mg
When looking at a graph of a quadratic, how can you tell the solutions are complex numbers?
Answers
Answer:
the solutions are where the parabola crosses the x-axis; therefore, if the parabola does not cross the x-axis then the solutions can be considered to be imaginary (for example, the square root of a negative)
Step-by-step explanation:
Use the Pythagorean Theorem to find x
Round to the nearest tenth?
Answers
Answer: last option. 9.2
Step-by-step explanation:
The pythagoreon theorm tells us, a^2+b^2 = c^2. We can substitute these values, so 7^2 + 6^2 = x^2 => 49+36 = x^2 => root of 85. The root of 85 is 9.219 something so you can round 9.219 to 9.2.
Harry catches the train from Belfast to Dublin at 4pm. The average speed of the train is 70 mph and the distance between Belfast and Dublin is 105 miles. What time does Harry arrive in Dublin?
Answers
Answer:
[tex]Arrival\ Time = 5:30\ pm[/tex]
Step-by-step explanation:
Given
[tex]Current\ Time = 4pm[/tex]
[tex]Speed = 70mph[/tex]
[tex]Distance = 105miles[/tex]
Required
Determine the arrival time
First, we calculate the time taken from Belfast to Dublin using:
[tex]Speed = \frac{Distance}{Time}[/tex]
Substitute values to the expression.
[tex]70 = \frac{105}{Time}[/tex]
Cross Multiply
[tex]70 * Time = 105[/tex]
[tex]Time = \frac{105}{70}[/tex]
[tex]Time = 1.5\ hour[/tex]
Arrival time is then calculated as:
[tex]Arrival\ Time = Current\ Time + Time\ Taken[/tex]
[tex]Arrival\ Time = 4pm + 1.5\ hour[/tex]
[tex]Arrival\ Time = 5:30\ pm[/tex]
If 24% of 400 people watched the news, how many ppl watched?
Answers
Answer:
96 people
Step-by-step explanation:
24÷100 × 400=96
During second period, Kiera completed a grammar worksheet. Of the 90 questions, she got 70% right. How many questions did Kiera get right?
Answers
Answer:
we conclude that Kiera got the right 63 questions.
Step-by-step explanation:
Total questions = 90
The percentage of correct question = 70%
Using the formula
The number of correct questions = 70% of 90
= [70/100] × 90
= 0.7 × 90
= 63
Therefore, we conclude that Kiera got the right 63 questions.
Please help with both if you can!
Thank you!
Answers
Answer:
15). is done
16).
[tex]slope = \frac{ {y}^{1} - {y}^{o} }{ {x}^{1} - {x}^{o} } \\ = \frac{2 - ( - 2)}{ - 3 - 9} \\ = \frac{4}{ - 12} \\ slope = - \frac{1}{3} [/tex]
PLEASE HELP 5 MINUTES LEFT!!!!
Answers
Answer:
(-3,1),(1,6),(-1,0)
Step-by-step explanation:
The graph shows the solution of a system of equations.how many solutions does it have
Answers
Answer:
1
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
We will have 1 solution set when the lines cross once.
We will have no solutions when the lines are parallel.
We will have infinite solutions when the lines are the same.
According to the graph, we see that our lines only intersect once at 1 point. Therefore, there will be only 1 solution.
Answer:
1
Step-by-step explanation:
Is it possible to construct a triangle with side lengths of 6 cm, 11 cm, and 13 cm? Why or why not?
A.
No, because 6 + 11 < 13.
B.
Yes, because 6 + 11 ≠ 13.
C.
No, because 6 + 11 = 13.
D.
Yes, because 6 + 11 > 13.
Answers
Answer:
B. Yes, because 6 + 11 ≠ 13.
Step-by-step explanation: So for this one, you have to add two numbers and if the third number is bigger it is a possible construct but if it less than the third number than it is not a possible construct. So 6+ 11 = 17 (its good so far) 11 + 13 = 24(its good so far) 13 + 6 = 19( its good so far) everything checks out that means B is right. And also it is not D because that is saying 6 + 11 is less than 13 which is wrong. Hope this helps someone :)
If one item cost $0.75 and I paid $2.25 at the register, how many items did I buy?
Answers
Answer: 3
Work: This is simple division, I just did $2.25 divided by $0.75, and I received the answer 3.
I hope this helps, and Happy Holidays! :)
Answer:
You bought 3 items.
Step-by-step explanation:
All we have to do is multiply $0.75, the amount of the cost of the item, by the amount that you paid.
So:
0.75 × 2.25 = 3
Which of these shows the result of using the first equation to substitute for y in the second equation, then combining like terms?
y=2x
2x+3y+16
A: 8x=16
B:4x=16
C:5y=16
D:6x=16
Answers
Step 2: Add like terms
2x+6x+16= 8x+16
The answer would be A
help plzz i really need this
Answers
Answer:
Step-by-step explanation:
You need to multiply the amount of counselors by 8 to find the total amount to find the number of campers.
Answers: 32, 40
Answer:
32 & 40
I hope it will be useful.
Step-by-step explanation:
Look at the sequence. It follows the result to be 1:8
Thus, you have to multiply the numbers by 8 to get the denominators i.e., 4*8 & 5*8
Consider the problem: After charging for 1/3 of an hour, a phone is at 2/5 of its full power. How long will it take the phone to charge completely? Decide whether each equation can represent the situation.
Answers
Answer:
Equation 2
is the answer
Step-by-step explanation:
To calculate the time for a full charge, you would divide the time already charged by the amount of charge:
1/3 / 2/5 = 1/3 x 5/2 = 5/6 of an hour for full charge.
You could use 2 and 4 to find the time.
bonsoir ce que vous pouvez m aidez
je cherche des fraction égale a 4sur16
Answers
Answer:
1 sur 4 est équivalent.
Step-by-step explanation:
J'espère que cela aide !! Puis-je avoir la couronne?
4/16 et être réduit à 1/4!
Jacoby is using a bucket to collect nuts from a nut tree. He then dumps the bucket into a barrel for shipping of the nuts. He notices that 1 over 5 bucket of nuts fills 2 over 3 of the barrel.
Write and solve an equation to find the number of buckets that will fill the entire barrel. Be sure to define your variable and show your work. Explain your answer in words. (10 points)
Answers
Answer:
You need 3/10 buckets of nuts to fill the barrel.
Step-by-step explanation:
We know that 1/5 of a bucket of nuts, fills 2/3 of the barrel.
Then how much we need to fill the other 1/3 of the barrel?
1/3 = (2/3)/2
Then we need half of 1/5 buckets of nuts, this is:
(1/5)/2 = 1/10 buckets of nuts.
Then we need in total:
1/5 + 1/10 buckets of nuts.
we can multiply and divide the left fraction by 2, to get:
(2/2)*(1/5) + 1/10 = 2/10 + 1/10 = 3/10
You need 3/10 buckets of nuts to fill the barrel.