Answer:
10/(1+√11), 1+√11 and 10/(1-√11) and 1-√11
Step-by-step explanation:
Let x be the first number and y the second number
two numbers that multiplied together give me 10
x*y = 10
and the difference of the two numbers is -2?
x-y = -2
we can write x in terms of y so we only have one variable y
x-y =-2 , add y to both sides
x-y+y = y -2, combine like terms
x= y-2
x*y = 10, substitute x=y-2
(y-2)y = 10, distribute in parenthesis
y² -2y-10 = 0, subtract 10 from both sides
We can use the quadratic formula to solve y² -2y-10 = 0
y = (-b±√b²-4ac)/2a, where a= 1, b= -2, c= -10
y = (2±√4+4*1*10)/2
y = (2±√44)/2
y= (2±2√11)/2
y= 1±√11
x*y = 10, divide both sides by y
x= 10/y
x= 10/(1±√11)
Check :
x*y = 10
[10/(1±√11)] * (1±√11) = 10
⇒[10/(1+√11)] * (1+√11) = 10✅
⇒[10/(1-√11)] * (1-√11) = 10✅
⇒[10/(1+√11)] * (1-√11) = 10❌
⇒[10/(1-√11)] * (1+√11) = 10❌
x-y = -2
⇒
[10/(1+√11) ] -(1+√11) =
[10 -(1+√11 )(1+√11 )]/ (1+√11 ) =
[10 - (1+11+2√11)]/ (1+√11) =
(10-12 -2√11) / (1+√11) =
(-2 -2√11) / (1+√11) =
-2(1+√11)/ (1+√11) =
-2 ✅
⇒
[10/(1-√11) ] -(1-√11) =
[10 -(1-√11 )(1-√11 )]/ (1-√11 ) =
[10 - (1+11-2√11)]/ (1-√11) =
(10-12 +2√11) / (1-√11) =
(-2 +2√11) / (1-√11) =
-2(1 -√11)/ (1-√11) =
-2 ✅
Find the common difference of the arithmetic sequence - 11,-16, -21, ...
?
Answer.
Answer:-26 is the next number
Step-by-step explanation:you just -5
5/3 x 5/3 HELPPPPPPPPPPPPPPPPPPPP
Answer:
25/9 or 2 7/9
Step-by-step explanation:
Answer:
25/9
Step-by-step explanation:
you times the numerators together then the denominators together so 5x5 and 3x3
Solve four and six eighths minus two and three fifths.
one and six thirteenths
one and three fortieths
two and six fortieths
two and three thirteens
Answer:
2 3/13 ok
Step-by-step explanation:
Please explain how to solve this:
Answer:
x = 47
Step-by-step explanation:
Because the lines are parallel, we know that some angles are the same, see the images attached. That means that A and B in the image are the same angles. So we know that angle A totals to 78 degrees. And the angle outside the triangle is 35. So the angle inside the triangle is
78 - 35 = 43.
The interior angles of a triangle add up to 180. We know that one angle is 43 and another angle is 90 because of the indicating square angle marker. That means that
43 + 90 + x = 180.
Then we can simplify the equation:
133 + x = 180⇒
x = 180 - 133⇒
x = 47
Explain how to compare decimals. Use the numbers 6.75 and 6.732 to
help you explain this process.
(pls no link of file i need to know its safe thanks!)
BTW ILL GIVE BRAINLIEST
A car travels for 2 hours at a certain speed and then for 3 hours more at a speed 10 slower than this. If the entire distance is 170 km find the car’s speed in the first two hours of travel.
Answer: To find a distance, we need to multiply speed by time.
Step-by-step explanation:
through: -1,4 and 0,0 point slope
Step-by-step explanation:
the slope = (4-0)/(-1-0) = 4/(-1) = -4
the equation : y = -4x
m = (Y2 - Y1)/(X2 - X1)
m = (0 - 4)/(0 - (-1))
m = -4/(0 + 1)
m = -4/1 = -4
[tex]\sqrt{3} \times \sqrt{3}[/tex]
[tex]\sf \longmapsto \sqrt 3 \times \sqrt{3} [/tex]
[tex]\sf \longmapsto \sqrt{3} [/tex]
[tex]\sf \longmapsto3[/tex]
9.
Kim is 15 more than three times her nephew's age. If Kim is 36, how old is her nephew?
Answer:
7 years old
Step-by-step explanation:
36=3x+15
x=21/3=7
Answer:
X = 7
Step-by-step explanation:
nephew ---- x
Kim ------ 3x + 15
3x+15 = 36
3x = 36-15
3x = 21
x = 7
Find the slope of the line shown below.
Victoria has part-time job. She wants to make $125 per week at her part-time job. Last month she was within $5.50 of her goal. What are the maximum and minimum amounts that Victoria might have made last month?
Answer:
homeopatía oscar papal odiarlo
help I do not understand
Complete the equation of the line through (−10,3) and (-8,-8)
Answer:
[tex]\boxed{y = -5,5x - 52}[/tex]
Step-by-step explanation:
Equation of a straight line: y = kx + b
Points: (-10,3) and (-8,-8)
Сompose the system of equations:
[tex]\displaystyle \left \{ {{3=-10k + b} \atop {-8=-8k + b}} \right[/tex] [tex]\displaystyle \left \{ {{b= 3 + 10k} \atop {b=8k - 8}} \right \Longrightarrow 3 + 10k = 8k - 8[/tex]
[tex]3 + 10k = 8k - 8[/tex]
[tex]2k = -11|:2[/tex]
[tex]k = -5,5[/tex]
[tex]b = 3 + 10k = 3 + 10 \cdot ( -5,5) = 3 - 55 = -52[/tex]
[tex]y = -5,5x - 52[/tex]
Use factoring to solve the quadratic equation. Please provide an explanation.
x^2-25=0
Answer:
±5
Step-by-step explanation:
Given equation ,
=> x² - 25 = 0
=> x² - 5² = 0
=> ( x +5)(x-5) = 0
=> x = ±5
Answer:
x = -5 or 5
Step-by-step explanation:
→ Factor the quadratic
( x + 5 ) ( x - 5 )
→ Equate each bracket to 0
x + 5 = 0 and x - 5 = 0
→ Solve each for x
x = -5 or 5
HELP ME PLEASE!!!!!!!!!
The total price of $35.5 haircut with 10% tip is $_______________ .
Answer:
39.5
Step-by-step explanation:
1.10 * 35.5 = 39.5
Answer: $3.55
Step-by-step explanation:
Basically move the decimal point to the left once if it’s 10% with decimals.
How do I figure out the area of a problem with a graph
Answer:
20
Step-by-step explanation:
Each square is a square unit. So just count the squares!
And what about the cut parts that don't take the full square? It's half of the square, so just count as 1/2
So, 1 2 3 4, ___ 5 6 7 8, ___ 9 10 11 12, ___ 13 14 15 16, ___ 17 18, ___ 18 + 1/2 + 1/2 = 19, ___ 19 + 1/2 +1/2= ..... 20 !
1.) 4.23 as a mixed number.
2.) 4.23 as a improper fraction.
Find the value of x.
54°
х
if you could explain how you got the answers i would appreciate so i can know how to do it frl 3
Answer:
angle x = 72 degrees
Step-by-step explanation:
The formula d=rt gives the distance traveled for a rate r and an amount of time t. A ship travels at 10 miles per hour for 2 hours. What distance did the ship travel?
Options: 5 miles, 12 miles, 20 miles, 102 miles
WILL MARK BRAINLIEST
madison drew some shapes as shown below. which of the following describes madison’s shapes?
Answer:
what are the following??
Step-by-step explanation:
please helpp! :))............
Answer:
-2x-3y-2
Step-by-step explanation:
1-3y +2 -2x-5
Combine like terms
-2x -3y +1+2-5
-2x-3y-2
Answer:
Step-by-step explanation:
I know it’s kind of blurry but it’s the best pic I could get please help me
Answer:
option B
Hope it helps
Ann purchased a car for $2,700. She paid 8.5% state tax for the car, $99.50 for license plates, and $42 for an emissions inspection. How much does Ann need to pay for all charges, including the price of the car?
Answer:
$3071
Step-by-step explanation:
Before Tax Price: $2,700.00
Sale Tax: 8.50% or $229.50
After Tax Price: $2,929.50
Now we add the other expenses to the after tax price.
Therefore Ann has to pay $3071 for all Charges.
The slope-intercept form of the equation of a line that passes through point (–2, –13) is y = 5x – 3. What is the point-slope form of the equation for this line?
Answer:
(y+13)=5(x+2)
Step-by-step explanation:
Apply the formula (y-y1)=m(x-x1) to the given point and slope intercept form equation.
what is the slope of the line that passes through the points (10,-6) and(8,-16)
Answer:
5
Step-by-step explanation:
(y2-y1)/(x2-x1), when you plug the numbers into the formula, you should get 5
the smallest plus the largest of three consecutive odd integers is twelve less than six times the middle integer. find the smallest integer
Answer:
1
Step-by-step explanation:
let x = smallest
let x+2 = middle
let x+4 = largest
x + x + 4 = 6(x +2) - 12
2x + 4 = 6x + 12 - 12
2x + 4 = 6x
4 = 4x
x = 1
numbers are 1, 3, 5
check:
is 1 + 5 equal to 6(3) - 12
6 = 18 - 12
6 = 6
What is the solution to the equation 5x+1.2=−3.8, given the replacement set {−1, −0.52, 1} ?
Answer:
the answer is x=-1
Step-by-step explanation:
The required solution to the given equation 5x + 1.2 = −3.8 is x = - 1.
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question below as:
5x + 1.2 = −3.8
We have to determine the solution to the given equation 5x + 1.2 = −3.8
⇒ 5x + 1.2 = −3.8
Rearrange the terms of non-variable in the above equation,
⇒ 5x = - 3.8 - 1.2
Apply the addition operation,
⇒ 5x = -5
Divided by 5 both sides of the above equation,
⇒ x = -5 / 5
Apply the division operation,
⇒ x = - 1
Therefore, the required solution to the given equation 5x + 1.2 = −3.8 is x = - 1.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ2
What is the answer plz help
Answer:
3x and 2 are both variables
Step-by-step explanation:
In mathematics, a variable is a symbol which works as a placeholder for expression or quantities that may vary or change; is often used to represent the argument of a function or an arbitrary element of a set. In addition to numbers, variables are commonly used to represent vectors, matrices and functions.
Have a great day! :D
A town spends 43% of its anual budget on education.if the towns is one million dallars how much will be spent on education?
Answer:
430,000
Step-by-step explanation:
