Answer:
CD = [tex]\sqrt{164}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = C(5, - 2) and (x₂, y₂ ) = (D(- 3, 8)
d = [tex]\sqrt{(-3-5)^2+(8+2)^2}[/tex]
= [tex]\sqrt{(-8)^2+10^2}[/tex]
= [tex]\sqrt{64+100}[/tex]
= [tex]\sqrt{164}[/tex]
= 2[tex]\sqrt{41}[/tex] ← in simplest form
As, we have C (5, - 2) and D (- 3, 8), to find CD let's use distance formula :
[tex] \underline{\boxed{\tt{Distance \: between \: two \: points = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}}}}[/tex]
Here,
x₁ = 5x₂ = - 3y₁ = - 2y₂ = 8So, by filling values :
[tex] \sf : \implies CD = \sqrt{(-3 - 5)^{2} + (8 - (-2))^{2}}[/tex]
[tex] \sf : \implies CD = \sqrt{(-8)^{2} + (8 +2))^{2}}[/tex]
[tex] \sf : \implies CD = \sqrt{64 + (10)^{2}}[/tex]
[tex] \sf : \implies CD = \sqrt{64 + 100}[/tex]
[tex] \sf : \implies CD = \sqrt{164}[/tex]
Hence, distance of CD is [tex] \bold{\sf \sqrt{164}.}[/tex]
Solve the system 2x + 3y = 6 2x - 5y = 22
Answer:
In point form (6,-2) and Equation form: x = 6, y= -2
Step-by-step explanation:
The perimeter of a rectangular playground is 86 feet, the width of the playground is 15 feet, what is the length
witch is longer distsance 20% of 320 miles of 1/2of 130 you must show your working out
Answer: [tex]\frac{1}{2}\ \text{of}\ 130> 20\%\ \text{of}\ 320[/tex]
Step-by-step explanation:
[tex]20\%\ \text{of}\ 320\ \text{is}\\\Rightarrow \frac{20}{100}\times 320=64\ \text{miles}[/tex]
[tex]\frac{1}{2}\ \text{of}\ 130\ \text{is} \\\Rightarrow \dfrac{130}{2}=65\ \text{miles}[/tex]
clearly, [tex]\frac{1}{2}\ \text{of}\ 130> 20\%\ \text{of}\ 320[/tex]
NEEEED HELP!!!!!!!!!
Answer:
1/3 is your awnser also what ur name in prodigy ill play with u im level 100
Step-by-step explanation:
Answer:
[tex] \frac{2}{5} + \: x = \frac{11}{15} [/tex]
5.3=15
2.3=6
[tex] \frac{6}{15} + \frac{5}{15} [/tex]
y+2 y+2 y+2 y+2 y+2
^
30
Answer:
45
Step-by-step explanation:
9y+1073741824
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Amelia calls people at random to conduct a survey. So far, 20 calls have been answered and 30 calls have not been answered. What is the approximate probability that someone answers the next call she makes?
A.
40%
B.
67%
C.
0.6
D.
2/3
Answer: 40%
Step-by-step explanation:
I guessed on this but i got it right
Answer:
40%
Step-by-step explanation:
Equivalent factored form for 10x^2+15x-9=2x^2+x-14
I aint gonna lie this is easy points hehehehe
Mel uses one fourth of a yard of ribbon to make a hair bow how many hair bows can mel make with 1 yard of ribbon
Answer:
4
Step-by-step explanation:
If its 1/4 then you can use it 4 times to equal a whole yard
Evaluate the expression (13 - 2) ^ 2 ÷ 11
What is the value expression?
Answer:
11
Step-by-step explanation:
(13-2)^2/11
11^2=121
121/11=11
What is the equation of the line graphed below ?
A recipe calls for 12 lb of flour for 1 batch.
Answer each question below and type the answers in the boxes.
1. How many batches can be made with 1 lb of flour?
2. How many batches can be made with 34 lb of flour?
3. How many batches can be made with 14 lb of flour?
1. 1/12 batches (0.0833333)
2. 2.83333 batches
3. 1.1667 batches
Explanation
1. 1 ÷ 12 = 1/12
2. 34 ÷ 12 = 2.83333
3. 14 ÷ 12 = 1.1667
The chess clubcab have at most 36 members. The are 3 times as many boys as girls in the chess club. Which inequality could be used to determine the possible number of girls, x, in the chess club?
Answer:
The number of girls is at most 9 girls
y ≤ 9
Step-by-step explanation:
The chess clubcab have at most 36 members.
At most means : Less than or equal to 36 members and it is represented by the inequality = ≤
The are 3 times as many boys as girls in the chess club.
Boys = x
Girls = y
Hence,
x = 3y
Which inequality could be used to determine the possible number of girls, x, in the chess club?
Therefore,
x + y≤ 36
3y + y ≤ 36
4y ≤ 36
y ≤ 36/4
y ≤ 9
Girls = y
The number of girls is at most 9 girls
i need help on this
i will give Brainliyest if u answer this Corretly (lie = report)
Answer:B
Step-by-step explanation:
Arkadaşlar yardım edin EN İYİ SEÇERİM
Answer:
seviye 2
a=3 b=3
c=5 d= -1
seviye 3
a x=5 b x=15
c x=15 d x=9
Help please! I really need it! please dont guess if you dont know, dont answer.....( this is basic geometry im just dum'b) part 5
Answer:
Angle 8 is 100 degrees.
Step-by-step explanation:
Corresponding angles (angles on the same spot in the transversal) are equal to each other. For example angle 2 will be equal to angle 6.
13. L'Shonda purchased a container of juice that contains 200 calories. The label says that 40% of the calories are from carbohydrates. How many calories are from carbohydrates?
Answer:
80
Step-by-step explanation:
So I here's my thought process on this:
200 divided by 2 is 100
100 - 40% is 60, leaving 40 behind.
So double that and it would be:
200 - 40% is 120
200 - 120 = 80
80% is the answer.
The value of w and what mistake was made
Answer:
w=95
Step-by-step explanation:
Round to the nearest thousand. 6,159
Answer:
6,000
Step-by-step explanation:
To round to the nearest thousand, you keep the digit in the thousands and round up or down, clearing all other smaller units. You round up when the next largest digit, in this case, the hundreds, is 5 or larger. Meanwhile, you round down when it is 4 or smaller. Here it is 1, so you round down to 6,000. If it was 5 or larger, you would round up to 7,000.
6,000
To round a number we look at the number that is right of the one we are rounding. If the number to the left is 4 or under, you round down. If it's 5 or above, you round up.
Hope it helps! Good luck!! :D
Please pleaseeee help!
Im so lost this is the last question i have and I’ve been working on it forever. Even asked my mom and she had no idea! Helpp please!!
Answer:
Remember that the roots are the values of the variable when the expression equals 0.
a: 4 + 3 = 7 and 4*3 = 12 so we have (x + 3)(x + 4) with roots -3, -4
b: -4 + -2 = -6 and -4*-2=8 so we have (t-2)(t-4) with roots 2, 4
c: 2*-4 + 6 = -2 and -4*6=24 so we have (2n+6)(n-4) with roots -3, 4
d: -7+-4 = -11 and -7*-4=28 so we have (y-4)(y-7) with roots 4, 7
please help me on this will give you brainliest!!
Answer:
AC = 36
Step-by-step explanation:
since these triangles are similar, we can use the triangle similitary theorem. This means that the sides are proportional to each other.
ef/bc = 5/45 (1/9) = ed/ba = 2/18 (1/9)
we can see the sides are in a ratio of 1:9, and plug it in the proportion
df/ac = 1/9
4/ac = 1/9
cross multiply and we get that ac = 36
solve the equation P=b+c+a solve for b
Answer:
b = P - c - a
Step-by-step explanation:
Alberto buys a 600 balloons. Some of the balloons are pink.and the rest is green. He wants a estimate of the number of pink balloons in the bag. He ask 4 of his friends to each select a random sample of 10 balloons. Each friend returns the sample before the next friend selects a sample.
What is the estimate number of the pink balloons in the bag
Answer: there are 120 baloons in the bag
Step-by-step explanation:
10/ 600 = 4/x
10x = 1200
10/1200
x= 120
Let f(x) = -x + 3
Find f(2)
f(3)=
Answer:
1
Step-by-step explanation:
f(2) = -2+3
=1
For a group of objects made of the same material, the weight of an object varies directly with its volume. If an object has a volume of 20 cubic inches and weighs 28 ounces, what is the constant of variation?
Answer: 7/5
Step-by-step explanation:
If rectangle LMNO were rotated 180° clockwise about the origin to create rectangle L'M'N'O', what would the measure of angle O' be?
9514 1404 393
Answer:
90°
Step-by-step explanation:
Any corner angle in a rectangle is 90°. Rotating the figure does not change that. Angle O' = 90°.
_____
Additional comment
No rigid transformation (translation, rotation, reflection) changes any angles. Nor does uniform dilation (the kind we usually study). Hence any rectangle that is translated, rotated, reflected, or dilated will still have all angles measuring 90°.
Which equation yields the solutions x=−2 and x=−10?
Options:
A. −x2−2x+35=0
B. 5x2+40x+60=0
C. −4x2+24x−20=0
D. x2+12x+20=0
Answer: its not B
sorry it only let me choose once ttm2021
A school Buys 3 boxes of pencils. each box has an equal number of pencils. There are 4272 pencil altogether. How many pencils are in two boxes.
Answer:
Each box contains 1424 pencils;
There would be 2848 total pencils in two boxes.
Step-by-step explanation:
1424 x 2 = 2848 pencils
Asap, need help. Thanks if your going to help me! Please explain the steps!
Answers:
Person A receives at least 800 dollars, but no more than 1600 dollarsPerson B receives at least 1000 dollars, but no more than 2000 dollars=============================================================
Explanation:
We don't have enough information to nail down exact figures, but we can make a range estimate.
The two people (call them A and B) share the profits in the ratio of 4 to 5
In shorthand notation, we can say the ratio is 4:5
This means person A gets 4x dollars while person B gets 5x dollars
The ratio 4x : 5x reduces to 4:5 after dividing both parts by x. The variable x is some positive real number.
The total profit is therefore 4x+5x = 9x dollars
This expression 9x is between 1800 and 3600 dollars, including both endpoints
We then can say...
[tex]1800 \le 9x \le 3600\\\\\frac{1800}{9} \le \frac{9x}{9} \le \frac{3600}{9}\\\\200 \le x \le 400[/tex]
We see that x = 200 is the smallest possible x value. This leads to person A and B receiving 4x = 4*200 = 800 dollars and 5x = 5*200 = 1000 dollars respectively. Note how the ratio 800:1000 reduces to 4:5 after we divide both parts by 200. We can see that 800+1000 = 1800 which is the lowest profit possible.
The inequality above shows that x = 400 is the largest x value possible. If this is the case, then person A receives 4x = 4*400 = 1600 dollars while person B receives 5x = 5*400 = 2000 dollars. The ratio 1600:2000 reduces to 4:5 after we divide both parts by 400. We can see that 1600+2000 = 3600 is the largest profit possible.
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To summarize:
Person A can receive anywhere between 800 dollars and 1600 dollars (inclusive of both endpoints).Person B can receive anywhere between 1000 dollars and 2000 dollars (inclusive of both endpoints).The actual amount they receive will depend on what the actual profit is. Since we're only given the range of the profit, we can only make an estimated guess of the range for each partner.
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Side note: For either person, the ratio of the max to min is 2:1. This tells us that the max amount they receive is double compared to the min amount they receive. It's no coincidence that 3600 is double that of 1800.
What is the solution?
Answer:
(1,-1)
Step-by-step explanation:
the solution is where the two lines meet up at and they meet up at (1,-1)