Answer:
step 1. Subtraction Property Of Equality
step 2.Associative Property Of Equality
step 3.Division Property Of Equality
Question 12
evaluate
Answer:
-12.8
Step-by-step explanation:
Replace the letters with the respective values ( a = 4, b = 2, c = 3).
So (-3a+4b)^3 would become (-3 (4) + 4 (2))^3 = (-12 + 8)^3 = -4^3 = -64
And the bottom part (2c -1) would become (2 (3) - 1) = 6-1 = 5
So the final result would be -64 / 5 which is approximately -12,8
Find the distance between the points (-6, – 7) and (5. – 7).
Answer:
11
Step-by-step explanation:
d=√(5-(-6))²+(-7-(-7))²
d=√(11²+0²)
d=11
Answer:
[tex]\boxed {\boxed {\sf d= 11}}[/tex]
Step-by-step explanation:
We are asked to find the distance between 2 points. We will use the distance formula.
[tex]d= \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2[/tex]
In this formula, (x₁ , y₁) and (x₂ , y₂) are the points. We are given the points (-6, -7) and (5, -7). If we match the value and the corresponding variable, we see that:
x₁ = -6 y₁ = -7 x₂ = 5 y₂ = -7Substitute these values into the formula.
[tex]d= \sqrt{(5- -6)^2 + (-7--7)^2[/tex]
Solve inside the parentheses. Remember that two back-to-back negative signs become a plus sign.
(5 - - 6) = (5 +6) = 11( -7 - - 7) = (-7 +7) = 0[tex]d= \sqrt{ (11)^2+(0)^2[/tex]
Solve the exponents.
(11)² = 11 * 11 = 121 (0)² = 0*0= 0[tex]d= \sqrt{(121)+(0)[/tex]
Add.
[tex]d= \sqrt{121}[/tex]
[tex]d=11[/tex]
The distance between (-6, -7) and (5, -7) is 11.
helpppppppppppppppppppppppppppppppppppppppp
Step-by-step explanation:
let : the pair of jeans = X
a. the equation is :
4(X-3) + 8 = 92
b. 4(X-3) = 92-8
4X -12 = 84
4X = 84+12
4X = 96
X = 96/4
X = 24
so, the price of each pair of jeans = $24
_________
For the solution x = 2.6, the left side of equation
(2x - 6) => would be 2(2.6)-6 = 5.2-6 = -8 ( the negative value),
but on the right side of the equation 4x+8 => 4(2.6) +8 = 18.4 ( the positive value)
this difference indicates that x=2.6 is not the right solution.
Answer:
a) Let x be the cost of one pair of jeans
[tex]4(x-3)+8=92[/tex]
b) $24
Step-by-step explanation:
Given information:
Cost of t-shirt = $8Coupon used for $3 off each pair of jeansTotal spend = $92 (before tax)Define the variable:
Let x = the cost of one pair of jeans
Create an equation using the defined variable and the given information:
Apply the coupon ⇒ cost of one pair of jeans = (x - 3)4 pairs of jeans ⇒ 4(x - 3)Plus the cost of the t-shirt ⇒ + 8Equals the total cost of ⇒ = 92:[tex]4(x-3)+8=92[/tex]
To find the price of each pair of jeans, solve the equation for x:
[tex]\implies 4(x-3)+8=92[/tex]
[tex]\implies 4(x-3)+8-8=92-8[/tex]
[tex]\implies 4(x-3)=84[/tex]
[tex]\implies \dfrac{4(x-3)}{4}=\dfrac{84}{4}[/tex]
[tex]\implies x-3=21[/tex]
[tex]\implies x-3+3=21+3[/tex]
[tex]\implies x=24[/tex]
Therefore, the price of each pair of jeans was $24.
----------------------------------------------------
Solving 3(2x - 6) = 4x + 8 mentally:
Expand the brackets:
⇒ 16x - 18 = 4x + 8
Subtract 4x from both sides:
⇒ 12x - 18 = 8
Add 18 to both sides:
⇒ 12x = 26
Two times 12 is 24. As 26 is very close to 24, then x ≈ 2.
(The actual value of x is 2.2 to 2 decimal places).
Assessing the student's solution:
As x = 2.6 rounds to x ≈ 3 then the student's solution is incorrect because:
⇒ 3(2(3) - 6) = 4(3) + 8
⇒ 3(6 - 6) = 12 + 8
⇒ 3(0) = 20
⇒ 0 = 20
In triangle ABC, the length of side AB is 12 inches and the length of side BC is 17 inches. Which of the following could be the length of side AC?
A.
3 inches
B.
34 inches
C.
31 inches
D.
15 inches
Answer:
12,04
Step-by-step explanation:
17^2 - 12^2 (pythagoras theorem)
=145
=square root of 145
=12.04 (rounded off)
**Answers needed fast**
Actual perimeter:-
[tex]\\ \tt\longmapsto 0.251\times 1000[/tex]
[tex]\\ \tt\longmapsto \dfrac{251}{1000}\times 1000[/tex]
[tex]\\ \tt\longmapsto 251m[/tex]
All thwe shape have the same area. Which shape has the smallest perimeter?
Answer:
Among all shapes with the same area, a circle has the smallest/shortest perimeter.
Please help explanation if possible
Answer:
Step-by-step explanation:
Perimeter = 2W + 2L
160 = 2W + 2L
width = 16 feet less than length
W = L - 16 ------------(I)
Finding the dimensions of the court:
2W + 2L = 160
2*(L-16) + 2L = 160 {from (I) }
2*L - 2*16 + 2L = 160 {Distributive property}
2L - 32 + 2L = 160
2L + 2L - 32 = 160 {Combine like terms}
4L - 32 = 160 {Add 32 to both sides}
4L = 160 +32
4L = 192 {Divide both sides by 4}
L = 192/4
L = 48
W = 48 - 16
W = 32
f(x) = x + 6 , find the ordered pair when x = -2.
Answer:
(-2,4)
Step-by-step explanation:
-2+6=4
Which inequality is true?
Alyssa bought 2 packs of football cards for $4.62 each, and a deck of Digimon cards
for $11.47 with two $20 bille, Alyssa found $7.72 in her pocket. How much change
did Alyasa get?
Hello :D
2 x $4.52 = $9.04
$9.04 + $11.47 = $20.51
2 x $20 = $40.00
$40.00 - $20.51 = $19.49
With change:
$40.00 + $7.72 = $47.72
$47.72 - $20.51 = $27.21
Which equation has the same solution as x2 + 16x + 9 = -3?
Answer:
Step-by-step explanation:
x² + 16x + 9 = - 3
x² + 16x + 12 = 0
D = 16² - 4(1)(12) = 208
√D = 4√13
[tex]x_{1}[/tex] = ( - 16 - 4√13 ) ÷ 2 = - 8 - 2√13 ≈ - 15.21
[tex]x_{2}[/tex] = ( - 16 + 4√13 ) ÷ 2 = 2√13 - 8 ≈ - 0.79
Okay guys please help and explain it accurately and solve please so I can understand it. This is for 100 points!
-6a + 10 = -27
-6a + 10 = -27
First step: subtract 10 from both sides:
-6a = -37
Now divide both sides by -6:
A = -37/-6
Simplify:
A = 37/6
Answer:
a = 37/6
Step-by-step explanation:
-6a +10 = -27
Subtract 10 from each side using the subtraction property of equality
-6a+10-10 = -27-10
-6a = -37
Divide each side by -6 using the division property of equality
-6a/-6 = -37/-6
a = 37/6
7
If 8(x - 2y) = 16x, then what is x in terms of y?
Answer: y = -1/2x
8(x - 2y) = 16x
8x -16y = 16x
-16y = 16x-8x
-16y = 8x
-16y/-16= 8x/-16
y = -1/2x
Help me out pleaseeeee
A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased by , and the height remains the same. By what percentage does the volume of the can increase from the smaller can to the larger can
Answer:
Step-by-step explanation:
buenas tardes .....
solucion
Volumen de un cilindro: es igual al área de la tapa por la altura del mismo
A = πD² * h / 4
Lata grande y lata pequeña
Para la lata grande, el diámetro y la altura han aumentado un 20%.
Lata pequeña:
d = 4 cm
h = 3 cm
A 1 = π * (4) ² * 3/4
A1 = 37,70 cm²
Lata grande:
d = 4 * 1,2 = 4,8 cm
h = 3 * 1,2 = 3,6 cm
A2 = π (4,8) ²3,6 / 4
A2 = 65,14 cm²
Si 37,7 representa el 100%
65,14 representación x
x = 170%
El incremento del volumen es de un 70%
Select the correct answer.
Find the inverse of function f. F (x) = 1/3x -2
Answer:
D. F-1(x) = 3x + 6
Brainliest, please!
Step-by-step explanation:
y (F(x)) = 1/3x - 2
x = 1/3y - 2
x + 2 = 1/3y
y (F-1(x)) = 3x + 6
Answer:
your answer should be D.
Step-by-step explanation:
Let f:R+ R be defined by f(x)= ax+b, x £ R. If f(1) =5 and f(-4)= - 5, find the values of a and b and find the function f(x).
Answer:
a=2 b=3
Step-by-step explanation:
all you'll gat in pic
write the equation of a line in slope intercept form y=mx+b m=6, (0,5)
Answer:
m is the slope so plug in y=6x+b
and b is the y intercept so the equation is y=6x+5
Step-by-step explanation:
What is 50x30 I really need to know
Answer:
1500
Step-by-step explanation:
Basically 5*3 then add the two zeroes. One from 50 and 30.
How do u find surface area???
x-3(x+2)>4
solve for inequality
Answer:
[tex]x - 3(x + 2) > 4 \\ x - 3x - 6 > 4 \\ - 2x > 4 + 6 \\ - 2x > 10 \\ x = 10 \div ( - 2) \\ x = - 5[/tex]
hope it helps.stay safe healthy and happy.) Erin owes her mom $25. She borrows another $15 from her mom. What is her balance now, that she owes her mom?
Answer:
$40
Step-by-step explanation:
she owed $25 at first then she borrowed $15 so now she owed her $40.
25+15=40
Answer:
40
Step-by-step explanation:
Once you add 25 and 15
5+5=10
so you put the 1 over the 2 than add 2+1 and add 1 from the 10.
So the answer is 40
The cube of the difference of a number and 4
Answer:
(x - 4)³
Step-by-step explanation:
"The cube of x" would be x³. The difference of a number and 4 would be x - 4.
Therefore, "the cube of the difference of a number and 4" would be
(x - 4)³
30. f(x) = |x|; reflection in the y-axis followed by a
translation 3 units right
Answer:
[tex]g(x) = |x-3|[/tex]
Step-by-step explanation:
We are given the parent function:
[tex]f(x) = |x|[/tex]
And we want to find the equation after a reflection in the y-axis followed by a translation of three units right.
To reflect a function over the y-axis, we multiply the input by a negative. That is:
[tex]\displaystyle f(x) \rightarrow f(-x)[/tex]
In other words, a reflection over the y-axis will be given by:
[tex]f(-x) = |-x|[/tex]
To shift horzontally, we add if we are moving leftwards or subtract if we are moving rightwards. That is:
[tex]f(x) \rightarrow f(x-k)[/tex]
Where k is the horizontal translation.
Since we are translating three units rightwards, k = 3. Hence:
[tex]\displaystyle f(-(x-3)) = |-(x-3)|[/tex]
Recall that |ab| = |a||b|. Hence:
[tex]\displaystyle f(-(x-3)) = |-(x-3)| = |-1||(x-3)| = |x-3|[/tex]
Hence, f reflected over the y-axis followed by a translation of three units right is given by:
[tex]g(x) = |x-3|[/tex]
10. The translation (x, y) = (x + 10, y-6) is applied to ABC to create a new image A'B'C'. Graph
A'B'C' on the coordinate plane.
Answer:
here you go mate.
These are the solutions
There are 5 rainbows that total 100
miles in length. What is the mean
length of the rainbows?
8
Answer:
20 is the mean length of rainbows
Solve:
3x + 15 - 7x = -7
Answer:
5.5
Step-by-step explanation:
3x + 15 - 7x = -7
-4x + 15 = -7
-4x = -7 -15
-4x = -22
x = -22/-4 = 5.5
6. Find the circumference and area of a circle with a diameter of 8 meters. Leave your answers in terms of . Write "pi" instead of the symbol
Answer: Area = 16*pi m^2
Circumference = 8*pi
Step-by-step explanation: The circumference and area of a circle are given by:
Area = pi*r^2
Circumference = 2 pi*r
Radius = Diameter/2, or 4 meters (m)
Area = 16*pi m^2 (50.27 m^2)
Circumference = 8*pi (25.13 m)
This is line segments
Answer:
x = 7
Step-by-step explanation:
RT= RS+ST
70 = (7x +2 ) + (2x+5)
70 = 9x + 7
9x= 70 - 7
9x = 63
x= 63/ 9
x = 7
I hope I helped you^_^
Answer:
[tex]given \: that \: total \: length \: rt = 70 \\ \: then \: rs + st = rt \\ 7x + 2 + 2x + 5 = 70 \\ 9x + 7 = 70 \\ 9x = 63 \\ x = \frac{63}{9} \\ x = 7 \\ thank \: you[/tex]
URGENT WILL MARK BRAINLIEST
Show your work and solve for x and y.
3x + y = 8
2x + 4y = 12
Answer:
x=2, y=2
Step-by-step explanation:
3x + y = 8
2x + 4y = 12
Multiply the first equation by -4
-12x -4y = -32
Then add to the second equation
-12x -4y = -32
2x + 4y = 12
------------------------
-10x + 0y = -20
-10x = -20
Divide by -10
-10x/-10 = -20/-10
x =2
Now find y
3x+y = 8
3(2)+y = 8
6+y = 8
y = 8-6
y =2
Answer:
[tex]\huge\boxed{\sf Solution Set = \{(2,2)\}}[/tex]
Step-by-step explanation:
3x + y = 8 ----------------------(1)
2x + 4y = 12 -------------------(2)
Multiply Eq. (1) by 4
4(3x+y) = 8*4
12x + 4y = 32 -----------------(3)
Subtract Eq. (3) from (2)
2x + 4y - (12x + 4y) = 12 - 32
2x + 4y - 12x - 4y = -20
2x - 12x = -20
-10x = -20
Divide both sides by -10
x = 2
Put x = 2 in Eq. (1)
3(2) + y = 8
6 + y = 8
Subtract 6 to both sides
y = 8 - 6
y = 2
Solution Set = {(x,y)} = {(2,2)}
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!