Answer: 2√58
the distance between points p (-2,6) and q (4,-8) is [tex]\sqrt{(4-(-2))^{2}+(-8-6)^{2} } =\sqrt{6^{2} +(-14)^{2} }=2\sqrt{58}[/tex]
Step-by-step explanation:
x
y
- 3
-11
- 2
- 8
- 1
- 5
0
- 2
1
1
2
4
3
7
Which equation below best represents the relationship between corresponding values in the table above?
y = 2x - 3
⊝
y = x + 4
⊝
y = x + 3
⊝
y = 3x - 2
⊝
Answer:
B
Step-by-step explanation:
HELLPP. ITS URGENT.50 PTS
Please show working.
Question : If α and β are roots of the quadratic equation : 4x²-5x-1=0, find the quadratic equation whose roots are :
(See image for full question . No (IV) and (v))
Answer:
I replaced alpha by A and bitta by B. Sorry for this mistake
Answer:
4x² - 13x + 8 = 04x² - 11x + 5 = 016x² - 41x + 1 = 0x² + 5x + 4 = 0x² - 66x + 64 = 0Step-by-step explanation:
Given
α and β are roots of 4x²-5x-1=0Then the sum and product of the roots are:
α+b = -(-5)/4 = 5/4αβ = -1/4(i) Roots are α + 1 and β + 1, then we have:
(x - (α + 1))(x - (β + 1)) = 0(x - α - 1)(x - β - 1) = 0x² - (α+β+2)x + α+β+ αβ + 1 = 0x² - (5/4+2)x +5/4 - 1/4 + 1 = 0x² - 13/4x + 2= 04x² - 13x + 8 = 0(ii) Roots are 2 - α and 2 - β, then we have:
(x + α - 2)(x + β - 2) = 0x² + (a + β - 4)x - 2(α + β) + αβ + 4 = 0x² + (5/4 - 4)x - 2(5/4) - 1/4 + 4 = 0x² - 11/4x - 10/4 - 1/4 + 16/4 = 0x² - 11/4x + 5/4x = 04x² - 11x + 5 = 0(iii) Roots are α² and β², then:
(x - α²)(x-β²) = 0x² -(α²+β²)x + (αβ)² = 0x² - ((α+β)² - 2αβ)x + (-1/4)² = 0x² - ((5/4)² -2(-1/4))x + 1/16 = 0x² - ( 25/16 + 1/2)x + 1/16 = 0x² - 33/16x + 1/16 = 016x² - 33x + 1 = 0(iv) Roots are 1/α and 1/β, then:
(x - 1/α)(x - 1/β) = 0x² - (1/α+1/β)x + 1/αβ = 0x² - ((α+β)/αβ)x + 1/αβ = 0x² - (5/4)/(-1/4)x - 1/(-1/4) = 0x² + 5x + 4 = 0(v) Roots are 2/α² and 2/β², then:
(x - 2/α²)(x - 2/β²) = 0x² - (2/α² + 2/β²)x + 4/(αβ)² = 0x² - 2((α+β)² - 2αβ)/(αβ)²)x + 4/(αβ)² = 0x² - 2((5/4)² - 2(-1/4))/(-1/4)²x + 4/(-1/4)² = 0x² - 2(25/16 + 8/16)/(1/16)x + 4(16) = 0x² - 2(33)x + 64 = 0x² - 66x + 64 = 0Which trigonometric identity is given by the formula adjacent side/opposite side?
A. tan
B. cot
C. sin
D. cos
Answer:
cot= adjacent side/opposite side
Option B is correct.
Step-by-step explanation:
We need to identify trigonometric identity which is given by the formula adjacent side/opposite side
The trigonometric identity for tan is
tan= opposite side/adjacent side
But We are given adjacent side/opposite side
Since cot is inverse of tan so, formula of cot is:
cot= adjacent side/opposite side
Option B is correct.
How do you find the exterior angle of this one tho?
Answer:
To find the exterior angle of any polygon, just construct a line following one of the sides, and measure the angle.
Step-by-step explanation:
PLS GIVE BRAINLIEST
No question given. Repost.
Lily was shopping and saw the following prices on different packages of the same item as shown in the diagram below
Answer:
Package B has a unit rate of $1.50 per bag
Step-by-step explanation:
its the correct answer if its wrong deal with it
What number is in the tenths place in 12.75
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
THe number right after the decimal in the right side is the tenths place and 7 is the right after the right side of the decimal
Monique is throwing a birthday party and wants to buy an assortment of desserts. She buys a cake for $25, a gallon of ice cream for $4.50, and (c) cupcakes for $1.50 each. If she wants to spend at most $45 how many cupcakes can she purchase?
Answer:
Step-by-step explanation:
She wants to spend $45. Take the 45-25 for the cake.
$20.00 left. Ice cream is $4.50 20-4.50= 15.50 left
$15.50 divided by the cost of each cupcake $1.50
15.50/1.50=10 cup cakes
Relationship B has a greater rate than Relationship A. This graph represents Relationship A. Which equations could represent Relationship B? Select each correct answer.
Answer:
The answer is A. Sorry, i dont have enough time to support my answer. I am rushing sdjeuesjcvjs
ns
2014
x ft
Solve for
Write your answers as a simplified radical and a decimal rounded to the nearest tenth. Enter your answer
as an equation, for instance x = your answer. If the answer is an integer value, leave the simplified radical
box empty
Simplified radical:
Decimal:
After cutting a piece 1.65 m long from a piece of cable, the remaining
piece is 3.50 m long. How long was the cable originally? _____
Answer:
5.15 m
Step-by-step explanation:
To find how long the cable was originally, find the sum of the length of the piece that was cut off and the length of the remaining piece:
1.65 + 3.5 = 5.15
The cable was originally 5.15 m long.
Nicolas sold 86 newspapers on Monday 79 on Tuesday and 68 on Wednesday and 83 on Friday how many newspapers did Nicholas sell on Thursday if he sold a total of 391 in five days?
Define a variable, write an equation, then solve.
Answer:
75
Step-by-step explanation:
86+79+68+83=316
391-316=75
Answer:
75 newspapers
Step-by-step explanation:
391 is equal to the combination of all the newspapers Nicholas sold over those 5 days. This can be written as an equation:
391 = 86 + 79 + 68 + 83 + x
x represents the number of newspapers Nicholas sold on Thursday.
Now let's solve for x:
First, combine like terms:
391 = 316 + x
now subtract 316 from both sides to isolate x:
391 - 316 = 316 - 316 + x
75 = x
Nicholas sold 75 newspapers on Thursday.
17x-6+3x-5=x+11+4x simplified
Answer:
x = 22/15
Step-by-step explanation:
hope that helped
5x +9–3(x-1)=(3x –13)+(4x -30)
Help please
Answer:
x = 11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5x + 9 - 3(x - 1) = (3x - 13) + (4x - 30)
Step 2: Solve for x
Distribute 3: 5x + 9 - 3x + 3 = 3x - 13 + 4x - 30Combine like terms: 2x + 12 = 7x - 43Subtract 2x on both sides: 12 = 5x - 43Add 43 on both sides: 55 = 5xDivide 5 on both sides: 11 = xRewrite: x = 11Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(11) + 9 - 3(11 - 1) = (3(11) - 13) + (4(11) - 30)Multiply: 55 + 9 - 3(11 - 1) = (33 - 13) + (44 - 30)Subtract: 55 + 9 - 3(10) = 20 + 14Multiply: 55 + 9 - 30 = 20 + 14Add: 64 - 30 = 34Subtract: 34 = 34Here we see that 34 does indeed equal 34.
∴ x = 11 is a solution of the equation.
Answer:
x=11
Step-by-step explanation:
[remember: (-)(-) is (+) , (-)(+) is (-) , (+)(+) is (+)]
5x + 9 – 3(x-1) = (3x –13) + (4x -30)
5x + 9 -3x + 3 = 3x -13 + 4x -30
5x -3x + 9 + 3 = 3x + 4x -13 -30
2x + 12 = 7x - 43
2x - 7x = -43 - 12
-5x = -55
x = -55/-5
x = 11
hope you understood!!
Dee is painting some fencing. After 2/3 hour, she has painted 4 1/2 feet of fencing. What is the rate, in feet per hour, at which she is painting? Express your answer as a mixed number.
Answer:
6 3/4 feet per hour
Step-by-step explanation:
2 1/4 feet per 1/3 hour
4 1/2 feet for 2/3 hour
6 3/4 for 1 hour
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
r= 5.5 = 18.2 please its not for me though but help
Answer:
What is the question? are we supposed to find something that equals r?
Which division problem does the model below show?
1
1
1
1
1
1
1
1
1
8
1
8
1
6
5
1
1
1
1
1
1
1
1
6
ö
1
6
fo
-lo
1
6
Ok
Answer:
4÷1/6=24
Step-by-step explanation:
Is this correct ? Please help me
Answer:
Median: 8
Minimum: 3
Maximum: 15
First quartile: 6
Third quartile: 12.5
Interquartile Range: 6.5
Outliers: none
Step-by-step explanation:
Plz plz plz I need 546463+54543 times 64 it’s due in 4 min
Woah! Those are some big numbers! Anyways heres my answer: I used the old school way of fuigreing this out but using the pencil and paper I fuigred out 546463+54543 is equal to 601006 and if you were to multiply this by 64 (it took a LONG time for me and quite a few mess ups) its 38464384. Though I gave you the answer I'm just wondering if you could use a calculator because it would be a whole lot easier if you were able to do so.
A $ 4.00 sales tax is charged for a $ 50.00 purchase . At this rate, what is the sales tax for a 1200.00 purchase
Sales tax for the purchase of $50 is $4
Therefore, x% of 50 = 4
(x%) 50 = 4
x/100 x 50 = 4
x/2 = 4
x = 4 x 2
x = 8
Therfore, there is a 8% sales tax on the purchase.
Sales tax on the purchase of $1200 = 8% of 1200
= 8/100 x 1200
= 8 x 12
= 96
A $96.00 sales tax is charged on a purchase of $1200.00
Marking brainless!!!
Answer:
A
Step-by-step explanation:
You bought a magazine for $6 and 4 candy bars. If you spent a total of $14, how much did each candy bar cost?
Answer:
2$
Step-by-step explanation:
first you need to subtract the cost of the magazine from the total. now you have 8$ left, divide this by the number of candy bars, 4, and you get 2$.
don't forget to add the dollar sign, it might save you points
What will be the coordinates of point M of the image after the rotation?
0 (-4, 1)
0 (-1,4)
O (1-4)
O (4,1)
[tex] \frac{ \sqrt{7} }{ \sqrt{12 - 2 \sqrt{35} } } + \frac{ \sqrt{5} }{ \sqrt{12 + 2 \sqrt{35 } } } [/tex]
can someone help? please
Answer:
6.91607978
Step-by-step explanation:
PLS HELP ASAP, I HAVE A D IN THIS CLASS
I THINK its all real numbers like why else it there and i dont se nun that equal to 0
Step-by-step explanation:
What are the slope and the y-intercept of the line that represents plant A's height in inches in terms of the number of weeks? (Hint: The formula
for slope is slope = rise/run, and the y-intercept is the y-coordinate when x = 0.)
Answer:
Plant A is y=2x+6
Step-by-step explanation:
Slope: 2
Y-intercept: 6
pls help!!
A chest was resting on the ocean floor 500
feet below the surface. It was lifted to the deck of a ship 16 feet above the surface. How far was the chest lifted?
I need you to :
Define the variable
Write the equation
& The solution.
Answer:
I don't know about the variable but I believe that the equation is -500+516=16 and the solution is 16
Step-by-step explanation:
44% of the books are fairy tales. What fraction of the books are fairy tales (Give your answer in simplest form e.g. 10/11)
Answer:
[tex]\frac{11}{25}[/tex]
Step-by-step explanation:
44% can also be written as a fraction: [tex]\frac{44}{100}[/tex]
To simplify this fraction, let's divide the numerator and the denominator by 4:
44/4 = 11
100/4 = 25
The simplest form of the fraction of books that are fairytales is [tex]\frac{11}{25}[/tex]
The two sides of a triangular park enclosing the right angle
are 200m and 150m. What would be the area of the park?
Step-by-step explanation:
could you please mark me as the brainliest answer
Step-by-step explanation:
The sides enclosing the right angle are the perpendicular and the base of the right angled triangle.
Then the area of the triangle will be
2
1
×150×200=15,000 m
2
.
ASAP Help!!! Will give brainiest to first correct answer!
Answer:
D:2^5/12 or 1.33483...
Step-by-step explanation:
Hope This Helps!
Answer:
I am sorry I don't Understand!
Sorry I couldn't help!
Step-by-step explanation:
do this to get brainiest!
(click on the image to see clearly)
Answer:
8) 4(n)+12
9) 21 + 4(m) + (2(m)+7)
10) 3 (S+21)
Step-by-step explanation:
I did this quickly, hopefully they are correct. May not be the same format as you wish (especially for 9)