Answer:
x=2
Step-by-step explanation:
Step-by-step explanation:
x=2to understand thisyou need to know about:equationgiven:[tex](x-1)\sqrt{x^{2}-2x+4 } +(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0 \atop [/tex]
to solve:xlet's solve:[tex] \sf rewrite \: (x - 1) \sqrt{ {x }^{2} - 2x + 4} \: as \: (x - 2)( \sqrt{ {x}^{2} - 2x + 4 } ) + (x + 1) ( \sqrt{ {x}^{2} - 2x + 4}) : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)( \sqrt{ {x}^{2} - 2x + 4)} + (x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex][tex] \sf rewrite (x - 3) \sqrt{ {x}^{2} - 6x + 12 } \: as \: (x - 2) \sqrt{ {x}^{2} - 6x + 12} - : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)\sqrt{ {x}^{2} - 2x + 4} + (x-2)\sqrt{x^{2}-6x+12 } + (x - 1) \sqrt{ {x}^{2} - 6x + 12} +2x-4=0[/tex]
[tex](x - 2) \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} = 0[/tex][tex] \sf \: divide \: both \: sides \: by \: \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} : \\ x - 2 = 0[/tex][tex] \therefore \: x = 2[/tex]
0.000 000 000 000 000 000 000 000 001 672 622 kg.
The mass of a proton is
In scientific notation it is
Answer:
1.672 x 10 27
Step-by-step explanation:
Gigi makes a scale drawing of a patio. The drawing below shows the two scales she used to plan two patios of different sizes. Scale 1: 1 centimeter = 5 feet. Scale 2: 1 centimeter = 8 feet. A rectangle with length 7 centimeters and width 5 centimeters. Which shows the correct dimensions of the rectangle in both scales? Scale 1: 40 ft by 56 ft; Scale 2: 35 ft by 40 ft Scale 1: 56 ft by 25 ft; Scale 2: 35 ft by 40 ft Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft Scale 1: 56 ft by 40 ft; Scale 2: 35 ft by 25 ft
Answer:
Scale 1: 35ft by 25ft
Scale 2: 56ft by 40ft
Step-by-step explanation:
Given
Rectangle: 7cm by 5cm
Scale 1: 1cm = 5ft
Scale 2: 1cm = 8ft
Required
Determine the scale measurement
For Scale 1:
Actual Measurement
[tex]Length = 7cm[/tex]
[tex]Width = 5cm[/tex]
Scale 1: 1cm = 5ft
To calculate the scale measurement, we have to multiply the actual measurements by 5:
This gives:
[tex]Length = 7 * 5ft[/tex]
[tex]Length = 35ft[/tex]
[tex]Width = 5 * 5ft[/tex]
[tex]Width = 25ft[/tex]
So, the new measurement is 35ft by 25ft
For Scale 2:
Actual Measurement
[tex]Length = 7cm\\Width = 5cm[/tex]
Scale 2: 1cm = 8ft
To calculate the scale measurement, we have to multiply the actual measurements by 8:
Scale Measurement:
[tex]Length = 7 * 8ft[/tex]
[tex]Length = 56ft[/tex]
[tex]Width = 5 * 8ft[/tex]
[tex]Width = 40ft[/tex]
So, the new measurement is 56ft by 40ft
Answer:
c). Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft
Step-by-step explanation:
4x - 1 = 2(2x + 2)
what is the answer?
Answer:
x = undefined
Step-by-step explanation:
Expand brackets
4x - 1 = 4x + 4
Rearrange and make like terms next to each other
4x - 4x = 4 + 1
0x = 5
x = 5/0
when 0 is the denominator the answer is undefined
Answer: from what i calculated there is no solution
Step-by-step explanation:
What is the distance between (8, -3)and (4,−7)?
Answer:
+4sqrt(2)
Step-by-step explanation:
Note that the horizontal distance is 8 - 4, or 4 (which is the "run") and that the vertical distance is -3 - (-7), or 4 (which is the "rise"). Applying the Pythagorean Theorem, we get:
distance = length of hypotenuse = +sqrt(4^2 + 4^2) = +4sqrt(2)
Brainliest to the correct answer ( Evaluate 7 - 5p + 3q when p = 1 and q = 7.)
Answer:
23
Step-by-step explanation:
7-5(1)+3(7)
7-5+21
2+21
23
Answer:
7-5+21 = 23
Step-by-step explanation:
7 - 5p+ 3q
7 - 5(1) + 3(7)
7 - 5 + 21
7 + 16
= 23 hope this helps :)
Which transformation can be used to show that LMN is similar to PQR?
A. Dilation, reflection
B. Reflection, translation
C. Rotation, dilation
D. Translation, rotation
Below is the augmented matrix using the standard form of a quadratic equation that can help you write the quadratic equation going through the 3 points: \large \text{(-1,11) } \large \text{(1,5)} and \large \text{(2,11)} Hint: standard form \large ax^2+bx+c=y
Answer:
1.23
Step-by-step explanation:
123
help I will gvie brainiest
Shelly runs 2.5 miles in 18 minutes. What is her mile time in minutes?
Shelly runs 2.5 miles every 18 mins. To find out how many minutes it takes her to run one mile, let's divide 18 by 2.5
18 mins / 2.5 miles = 7.2 mins / mile
Al saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani. Bev, Carl, and Dani agreed and Dani received pennies. How many pennies did Al have initially
Answer:
2744
Step-by-step explanation:
Let Al had x pennies initially.
Al agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani.
So, as per the given condition,
The number of Pennies received by Ben from Al [tex]= \frac{3}{7} x[/tex]
The number of Pennies received by Carl from Bev
[tex]=\frac{3}{7} \times \frac{3}{7} x=\frac{9}{49}x[/tex]
The number of Pennies received by Dani from Carl
[tex]= \frac{3}{7}\times \frac{9}{49}x=\frac{27}{343} x[/tex]
Now, as Dani received 216 Pennies, so
[tex]\frac{27}{343} x =216[/tex]
[tex]\Rightarrow \frac{216\times 343}{27}=2744.[/tex]
Hence, initially, Al had 2744 Pennies.
what is the value of x in the equation 3(x-2)+4x=10(x+1)
Answer:
-16/3 =x
Step-by-step explanation:
3(x-2)+4x=10(x+1)
Distribute
3x -6 +4x = 10x +10
Combine like terms
7x -6 = 10x+10
Subtract 7x from each side
7x-6-7x = 10x-7x +10
-6 = 3x+10
Subtract 10 from each side
-6-10 = 3x+10-10
-16 = 3x
Divide by 3
-16/3 = 3x/3
-16/3 =x
Find the unit rate. 13.00 for 2 books?
Answer:
= 6.5 dollars per book
Step-by-step explanation:
This is a fraction equal to
13 dollars ÷ 2 books
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.
Answer:
6.5 per book
divide 13 by 2
Step-by-step explanation:
Find the measure of x that would make m∥n.
Answer:
to get the value of xtake 4x + 2x + 36 degrees is equals to 180 degrees this is because 4X and 2x + 36 degrees are angles on a straight line because 4X corresponds to the angle on top of 2x + 36 degrees so back to the equation we collect the like terms it will be 4 x + 2 x is equals to 180 degrees minus 36 degrees 6 x is equals to 144 x is equals to 24 degrees
I have attached a screenshot
Answer:
Step-by-step explanation:
x2 + 2x - 7 + 11x2 - 5x - 1
Solving like terms
12x2 - 3x - 8
answer first for brainliest
Answer:
ok
Step-by-step explanation:
At a concert stadium tickets purchasers have a choice between sitting in the floor seats or in the bleachers seats. In the floor section, there are 16 rows of 48 seats. The bleachers section has 86 rows with 72 seats in each. How many seats are there in all stadium?
Answer:6960
Step-by-step explanation:
(16•48)+(86•72)=6960
Point M is the midpoint of AB. The coordinates of point A are (-6,2) and the coordinates of M are (4,3) What are the coordinates of point B?
Answer:
The midpoint of segment AB is (0, 2.5)
Step-by-step explanation:
Hope this helps!
HELP!!!
For which one month. What is the rate of change in rainfall amounts in Springfield the greatest?
Which inequalities have -0.5, 2.5, and 4 as part of the solution set? Select all that apply.
Z >-3
z <5
Z <4
Iz < 4
Z > 0
Answer:
A, B, D
Step-by-step explanation:
i just did it on edge
Answer:
its true
Step-by-step explanation:
1 2 4
Anyone please answer only have 3 min
Answer:
A
Step-by-step explanation:
Answer:a
Step-by-step explanation:
I need help on this question
Answer:
alright so after it said 4 count by 4 so 4 8 12 16 18 and until u get to 18 go by 2 i think
Please help Math answers
Answer:
on example 1, both are right triangles.
Which one?
A. B. C. or D?
Answer:
B
Step-by-step explanation:
(7m+5m^3)-3m-4m^3
we simplify to get
4m+m^3 which can be rearranged
m^3+4m
I NEED HELP ASAP PLEASE!
20 POINTS!
Heyy! Can y’all plz help me on this I would really appreciate it :)
10x - 7 = 7x - 1
Answer:
x = 2
Step-by-step explanation:
10x - 7 = 7x - 1
10x = 7x + 6
3x = 6
x = 2
Answer:
x = 2
Step-by-step explanation:
Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.
You should be left with 10x - 7x = 7 - 1.
10x - 7x = 3x
7 - 1 = 6
3x = 6
Divide both sides by three to get your answer of x = 2.
please answer this question thanks in advance
which expression is equivalent to 0.17w + 0.77 + w? -0.77 + 1.17w
-0.17w + 1.77
-1.94w
-1.6w
Answer:
113.29w +1.77
Step-by-step explanation:
You receive a gift card for an
online game. Every time you play,
you spend the same amount of
money. After playing 2 games,
the card balance is $17.70. After
5 games, the balance is $14.25.
Determine the original value of the
card. Explain.
is 27/2 a rational number?
HELP!
here is a list of numbers.
-45 -21 -16 12 33 40
Answer:
-45, -21, -16, 12, 33, 40
Step-by-step explanation:
Answer:
Question A)
-21+12 =answer= -21 and 12
Question B)
45-16=29 =answer= -45 and -16
Question C)
The total is 3.
Thanks.
y=x-2
HELP MY RSM IS TOMORROW
Graph the lines given by the equation
Answer:
make a line going through points (2,0) and (0,-2) I put a picture.
Step-by-step explanation: