Step-by-step explanation:
X^(a²-b²+c²-a²+b²-c²) / X^(c(a-b)+b(c-a)+a(b-c))
= X^(0) / X^(ac-bc+bc-ab+ab-ac)
= X^0 / X^0
=1 / 1
= 1
Answer:
1Step-by-step explanation:
[tex](\frac{x^{a+b}}{x^c})^{a-b}*(\frac{x^{c+a}}{x^b})^{c-a}*(\frac{x^{b+c}}{x^a})^{b-c} =[/tex][tex]\frac{x^{a^2-b^2}}{x^{c(a-b)}}*\frac{x^{c^2-a^2}}{x^{b(c-a)}}*\frac{x^{b^2-c^2}}{x^{a(b-c)}} =[/tex][tex]\frac{x^{a^2-b^2+c^2-a^2+b^2-c^2}}{x^{c(a-b)+b(c-a)+a(b-c)}} =[/tex][tex]\frac{x^0}{x^0} =[/tex]1Calculate the slope of the line containing the points (6,-4) and (-1,-4).
Answer:
Step-by-step explanation:
(x₁ , y₁) = (6, -4) & (x₂ , y₂) =(-1 , -4)
In these two points, there is no change in y-coordinates. So, the line is parallel to x-axis.
Slope of line parallel to x-axis = 0
Hi how can I graph this if it dosn't have a slope?
1. y = (2/3)x - 1
y = -x + 4
System of Linear Equations entered :
[1] y - 2x/3 = -1
[2] y + x = 4
// To remove fractions, multiply equations by their respective LCD
Multiply equation [1] by 3
// Equations now take the shape:
[1] 3y - 2x = -3
[2] y + x = 4
Graphic Representation of the Equations :
-2x + 3y = -3 x + y = 4
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -y + 4
// Plug this in for variable x in equation [1]
[1] 3y - 2•(-y +4) = -3
[1] 5y = 5
// Solve equation [1] for the variable y
[1] 5y = 5
[1] y = 1
// By now we know this much :
y = 1
x = -y+4
// Use the y value to solve for x
x = -(1)+4 = 3
I hope this help you
i need help with numbers 15 and 18!!! what does x equal? help asap!!
Answer:
15. x = 112 degrees
18. x = 120 degrees
Step-by-step explanation:
15.
A triangle's angles always equal 180 degrees so we can find the two unknown angles by subtracting 44 from 180 and then dividing it by 2.
2a + 44 = 180
2a = 136
a = 68
Each unknown angle equals 68 degrees. The line from 44 degrees to x degrees segments a line that has a 180 degree angle so we can subtract 68 from 180 to get x.
x + 68 = 180
x = 112
18.
We can use the same concept here but now every angle equals each other so we can divide 180 by 3 to get the measure of those angles.
3a = 180
a = 60
Now we do the same thing as last time to find x.
x + 60 = 180
x = 120
which of the following values is the solution of x/32=8
Hi there!
»»————- ★ ————-««
I believe your answer is:
x = 256
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\\frac{x}{32} = 8 \\----------\\\rightarrow (\frac{x}{32})32 = 8 * 32\\\\\rightarrow \boxed{x = 256}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
PT=3x+9 and TQ=8x-6 find PT
Answer:
Step-by-step explanation:
Your cellular telephone provider offers two plans. Plan A has a monthly fee
of $15 and $0.25 per text. Plan B has a monthly fee of $20 and $0.05 per text.
Write and solve an equation to find the number of texts than you must send to
have the same cost for each of the plans.
Answer:
you must send 25 msgs to have the same cost
Step-by-step explanation:
x = n of messages
15+ (0.25x ) = 20 + (0.05x)
0.2x = 5
x = 25
Answer:
at 25 text the plan costs are equal
Step-by-step explanation:
Plan A = $15 + .25t
Plan B = $20 + .05t
when the plan costs are equal $A = $B
then
15 + .25t = 20 + .05t
.25t - .05t = 20 - 15
.2t = 5
t = 25
2/
What is the greatest common factor of 20x4 and 6x??
ОА.
OB.
A
OC. 2x
OD. 2XA
Reset
Next
Answer:
c options is right what is the answer
Lloyd solves the equation 24x + 18(x – 2) = 216 for x. Some of his steps are shown.
Step 1: 24x + 18(x – 2) = 216
Step 2: 24x + 18x – 36 = 216
Step 3: 42x – 36 = 216
Step 4: 42x = 252
Which of the following statements BEST describes what Lloyd did to get from Step 3 to Step 4?
A.
Used the division property of equality
B.
Used the distributive property
C.
Used the multiplicative inverse property
D.
Used the addition property of equality
Answer:
The choose D. Used the addition property of equality
4x-36=216
4x=216+36
4x=252
I hope I helped you^_^
m - 4 = 2m
Check your solution if possible
Answer:
m - 4m = 2m
-4 = 2m -m
- 2 = m
Answer:
m = -4
Step-by-step explanation:
Add 4 to both sides of the equation
Simplify
Add the numbers
= 2 + 4
Subtract 2 from both sides of the equation
=2+4
−2=2+4−2
Simplify
Divide both sides of the equation by the same term
Simplify
Can someone please help rq
Answer:
19
Step-by-step explanation:
zót95zktTkzktzktzltl
[tex]\frac{2x-5}{3}=11 \ \ /\cdot3\\\\2x-5=33 \ \ /+5\\\\2x=38 \ \ /:2\\\\\huge\boxed{x=19}[/tex]
If the area of Polygon P is 72 square units, what scale
factor did Diego use to go from P to Q? Explain your
reasoning
Answer:
Step-by-step explanation:
im on the same question as you, please put a picture next time so people can tell what the area is, as this is not helpful if you can not see the polygon. thanks
I need help please help
Answer:
no solution
Step-by-step explanation:
x + 6 cannot be x so there is no solution. hope this helps
Answer:
No solution
Step-by-step explanation:
[tex]x + 6 = x \\ x - x = 6 \\ 0 = 6[/tex]
lập bảng biến thiên và tìm tập giá trị của y=2x-4
What would the answer be for this equation 7x/20 - 5x/12
Answer:
[tex] \frac{1}{15} x[/tex]
Step-by-step explanation:
[tex] \frac{7x}{20} - \frac{5x}{12} [/tex]
[tex] \frac{3 \times 7x}{3 \times 20} - \frac{5 \times 5x}{5 \times 12} [/tex]
[tex] \frac{21x}{60} - \frac{25x}{60} [/tex]
[tex] \frac{21x - 25x}{60} = (21 - 25)x = - 4x[/tex]
[tex] \frac{ - 4x}{60} = - \frac{ x}{15} [/tex]
[tex]\boxed{\green{= \frac{1}{15} x}}[/tex]
If oranges are called oranges why aren’t apples called reds?
Answer:
Haha great question, Maybe because people will not understand the difference between the fruit and the color.
i want answer to this question
Answer:
a=1 D
Step-by-step explanation:
insert x=1 in the equation
Answer:
When it is divided by x-1 and it has no remainder , then it means substituting x=1 into the polynomial is zero .Because x-1 is a factor.
[tex]2 {x}^{3} - a {x}^{2} - 7x + 6 \\ x = 1 \\ 2 {(1)}^{3} - a {(1)}^{2} - 7(1) + 6 = 0 \\ 2 - a - 7 + 6 = 0 \\ 1 - a = 0 \\ a = 1[/tex]
(-1) + 5 -(-6) - 5 =
Answer:
5 is the answer
Please make the brainliest
If m 24 is 53°, what is the m26?
Answer:
m∠8 = 49°
Step-by-step explanation:
∠7 and ∠8 are same-side interior angles.
Remember, same-side interior angles are supplementary. This means that the sum of the angles is 180°.
Let's use the variable 'x' to represent the unknown measure of angle ∠8.
[tex]131 +x=180[/tex]
[tex]131-131=0[/tex] (cancels itself out)
[tex]180-131=49[/tex]
[tex]x=49[/tex]
Therefore, the measure of ∠8 is 49°.
48 POINTS PLEASE HELPPPPPPP....The formula for the area of a traingle is 1/2 bh, where b is the length of base of the traingle and h is the vertical height. Use the formula to find the height of a traingle with a base length of 8 inches and an area of 39 square inches.
Answer:
h=39/4
Step-by-step explanation:
area of a triangle = 1/2(b*h)
base = 8 inches
area =39 square inches
input the values given:
39=1/2(8*h)
multiply the right side by 1/2
39=(1/2)8h
find half of 8
39=1/2*8 (h)
hence,
39=4h
divide both sides by 4
hence,
39/4=h
Please help! Will mark brainliest! ^^
Answer:
1/8 = 0.125
14/20 = 0.7
2/3 = 0.67
4/5 = 0.8
Step-by-step explanation:
Slope through (7, 1), (8,0)
Answer:
-1
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= (0-1)/(8-7)
= -1/1
= -1
what type of number is 4+5√2?
Natural
whole
integer
real
rational
irrational
Answer:
Real and irrational numbers
a 18-inch candle is burning at the rate of 1 inch per hour and 1 15-inch candle is burning at half of an inch per hour. How long will it take for the two candles to be the same height?
Use coordinate notation to enter the rule that maps each preimage to its image. Then identify the transformation and confirm that it preserves length and angle measure.
S (−3, 4) arrowright S′ (−2, 2)
T (3, 4) arrowright T′ (4, 2)
U (−1, 0) arrowright U′ (0, −2)
The transformation is a
(select)
given by the rule: (x, y)= ____
Since ST =
(select)
, SU =
(select)
, and TU =
(select)
, the transformation preserves length.
Since mangleS =
(select)
, mangleT =
(select)
, and mangleU =
(select)
, the transformation preserves angle measure.
In geometry, transformations are used to move points from one position to another.
The transformation is a rigid transformation given by [tex](x,y) \to (x + 1, y-2)[/tex]. It preserves lengths and anglesThe preimage is given as:
[tex]S =(-3,4)[/tex]
[tex]T = (3,4)[/tex]
[tex]U = (-1,0)[/tex]
The image is given as:
[tex]S' = (-2,2)[/tex]
[tex]T' =(4,2)[/tex]
[tex]U' = (0,-2)[/tex]
Using points S and S' as our reference point, we have:
[tex]S =(-3,4)[/tex] and [tex]S' = (-2,2)[/tex]
Calculate transformation
[tex](x,y) \to S -S'[/tex]
[tex](x,y) \to (-2,2)-(-3,4)[/tex]
Rewrite as:
[tex](x,y) \to (-2--3,2-4)[/tex]
[tex](x,y) \to (-2+3,2-4)[/tex]
[tex](x,y) \to (1,-2)[/tex]
So, the transformation from the preimage to image is:
[tex](x,y) \to (x + 1, y-2)[/tex]
Calculate the lengths of the sides of the preimage and the image
Using the following distance formula, we have:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]ST = \sqrt{(-3 - 3)^2 + (4 - 4)^2} = 6[/tex]
[tex]SU = \sqrt{(-3 - -1)^2 + (4 - 0)^2} = \sqrt{20[/tex]
[tex]TU = \sqrt{(3 - -1)^2 + (4 - 0)^2} = \sqrt{32[/tex]
and
[tex]S'T' = \sqrt{(-2 - 4)^2 + (2 - 2)^2} = 6[/tex]
[tex]S'U' = \sqrt{(-2 - 0)^2 + (2 -- 2)^2} = \sqrt{20[/tex]
[tex]T'U' = \sqrt{(4 -0)^2 + (2 -- 2)^2} = \sqrt{32[/tex]
Since
[tex]ST = S'T'= 6[/tex]
[tex]SU = S'U'= \sqrt{20[/tex]
and
[tex]TU = T'U'= \sqrt{32[/tex]
Then, the transformation preserves length
From the graph of [tex]\triangle STU[/tex] and [tex]\triangle S'T'U'[/tex]
Since
[tex]\angle S = \angle S' = 76^o[/tex]
[tex]\angle T = \angle T' = 45^o[/tex]
[tex]\angle U = \angle U' = 59^o[/tex]
Then, the transformation preserves angle measure.
Read more about transformation at:
https://brainly.com/question/12865301
The function represents the amount of money in a savings account that had an opening deposit of $150 and then receives a deposit of $10 every month. How much money is in the account after 1 year?
Answer:
$270
Step-by-step explanation:
The opening deposit is $150.
Every month receives $10.
In 12 months it gets 12 x $10 = $120 additional money.
So together with the opening deposit at the end of 1 year the account has
$150 + $120 = $270
Convert 10010011001 into a number with commas.
Answer:
10,010,011,001
Step-by-step explanation:
Converting the number 10010011001 into a number with commas gives us 10,010,011,001.
Given that,
The number is 10010011001.
Used the concpet of number system which states that,
A writing system used to express numbers is known as a number system. It is the mathematical notation used to consistently express the numbers in a particular set using digits or other symbols.
Here, the number is 10010011001.
So, it can be written as,
10010011001 = 10,010,011,001
Therefore, the number 10010011001 with commas would be 10,010,011,001.
To learn more about the Number system visit:
https://brainly.com/question/17200227
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Melissa and Rachel like to make funny hats. Melissa has made 20 zebra-printed hats, and Rachel has made h striped hats. Together they have made a total of 42 hats. h e l p
Answer:
h = 22 for Rachel
Step-by-step explanation:
20 + h = 42
h = 42 - 20
h = 22
A local ice cream shop takes in $45 in a 20 minute period. How many minutes would it take the
shop to earn 51802
Answer:
23,023 minutes
Step-by-step explanation:
$45/20 = $2.25 in a minute
$51, 802/ 2.25 = 23,023 minutes
solve for x…………………..
Answer:
10
Step-by-step explanation:
10+x+2=-8+3x
12+x =-8+3x
12+8=3x-x
20=2x
X=20/2
X=10
Which of these is not a characteristic of a perpendicular bisector?
Answer:
The perpendicular bisector meets any line at an angle which is not 90°
Step-by-step explanation:
[tex].[/tex]
Answer:
the perpendicular bisector meets any line at an angle which is not 90°