Answer:
see attached
Step-by-step explanation:
When the dilation factor is 3, each image point is 3 times as far from P as the original. I find it convenient to count the grid squares and go that distance twice again.
Simplify each radical And show your work √72
√20
√42
2√12
3√75
-2√18
Answer:
[See Below]
Step-by-step explanation:
[tex]\boxed{Hey~There!}[/tex]
__________________________________________________________
[tex]\boxed{Simplify~each~radical:}[/tex]
1.) [tex]\sqrt{72}[/tex]:
Factor [tex]72[/tex] into its prime factors :[tex]72 = 23 * 32[/tex]
To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:[tex]36 = 22 * 32[/tex]
Factors which will remain inside the root are:[tex]2 = 2[/tex]
To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by [tex]2[/tex]:[tex]6 = 2 * 3[/tex]
[tex]\boxed{The~answer~is: 6\sqrt{2}}[/tex]
2.) [tex]\sqrt{20}[/tex]:
Factor [tex]20[/tex] into its prime factors :[tex]20 = 22 * 5[/tex]
To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:[tex]4 = 22[/tex]
Factors which will remain inside the root are:[tex]5 = 5[/tex]
To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by [tex]2[/tex]:[tex]2 = 2[/tex]
[tex]\boxed{The~answer~is: 2\sqrt{5}}[/tex]
3.) [tex]\sqrt{42}[/tex]:
Factor [tex]42[/tex] into its prime factors :[tex]42 = 2 * 3 * 7[/tex]
To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. In our case however, all the factors are only raised to the first power and this means that the square root can not be simplified .[tex]\boxed{The~answer~is: \sqrt{42} }[/tex]
4.) [tex]2\sqrt{12}[/tex]:
Factor [tex]12[/tex] into its prime factors :[tex]12 = 22 * 3[/tex]
To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:[tex]4 = 22[/tex]
Factors which will remain inside the root are:[tex]3 = 3[/tex]
To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by [tex]2[/tex]:[tex]2 = 2[/tex]
[tex]\boxed{The~answer~is: 4\sqrt{3} }[/tex]
5.) [tex]3\sqrt{75}[/tex]:
Factor [tex]75[/tex] into its prime factors :[tex]75 = 3 * 52[/tex]
To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:[tex]25 = 52[/tex]
Factors which will remain inside the root are:[tex]3 = 3[/tex]
To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by [tex]2[/tex]:[tex]5 = 5[/tex]
[tex]\boxed{The~answer~is: 15\sqrt{3}}[/tex]
6.) [tex]-2\sqrt{18}[/tex]:
Factor [tex]18[/tex] into its prime factors :[tex]18 = 2 * 32[/tex]
To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:[tex]9 = 32[/tex]
Factors which will remain inside the root are:[tex]2 = 2[/tex]
To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by [tex]2[/tex]:[tex]3 = 3[/tex]
[tex]\boxed{The~answer~is: 3\sqrt{5}~or~-6\sqrt{2}}[/tex]
__________________________________________________________
[tex]Hope~this~helps~Mate~\\-Your~Friendly~Answerer,~Shane[/tex] ^-^
what is the answer to this question
Answer:
They are both 60 degress
Step-by-step explanation:
Simplify. (-2)^-3...............
Answer:
the answer is -8
Step-by-step explanation:
because the negative sign is inside the parentheses with the 2, (-2)^3 can be expanded to -2*-2*-2.
now solve.
[tex]-2*-2*-2\\4*-2\\-8[/tex]
hope this helps!
Write the nth term of each sequence suggested by the pattern 3. 6. 9. 12. 15...
Answer:
3x.....
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Each next number is increased by 3. We already have 5 of the 9 numbers, so do find the ninth number quickly, do this:
9 - 5 = 44 × 3 = 1215 + 12 = 27I hope this helps!
what is the distance between -19 and -12
Answer:
8
Step-by-step explanation:
-12, - 13, -14, -15, -16, -17, -18, -19
1, 2, 3, 4, 5, 6, 7, 8
after 3 hours, a bacteria colony has (25^3)^3 bacteria present. How many bacteria are in the colony
Answer:
25^9
Step-by-step explanation:
(25^3)^3 = 25^(3 * 3) = 25^9
How many 5/16 foot pieces of wood can you cut from a board that is 1 9/16 feet long?
A. 1/5
B. 125/256
C. 5
D. 3
Answer:
c
Step-by-step explanation:
divide the two factors and the answer is five
helpppppppppppppp show with proof please
Casey buys sandwiches and bags of chips. each sandwich cost three times as much as a bag of chips she bought 5 sandwiches for 6$each and spent 42$.how many bags of chips dis she buy
Answer: Casey bought 6 bags of chips
Step-by-step explanation:
Un número desconocido es multiplicado por 11 y a este resultado se le resta 24. El resultado de esta operación es 86. Escribe en lenguaje algebraico la expresión anterior y contesta: ¿Cuánto vale el número desconocido?
Answer: The number is 10.
Step-by-step explanation:
Let x be the required number.
Given: 11 is multiplied to the number then 24 is subtracted from that and the result is 86.
The mathematical statement for the given situation,
11x -24 = 86
To solve the equation, Add 24 on both sides , we get
11x - 24 +24 = 86+24
⇒ 11x = 110
Divide both sides by 11, we get
x = 10
hence, the number is 10.
4. 12% of 72 is what number?
+
5. What percent of 50 is 18?
+
6. 12 is 90% of what number?
Answer:
8.64,36,13.33
question no.4
12% of 72
= 12/100×72
=8.64#
question no.5
18=50×x%
18=0.5x
x=36
= 36% of 50 is 18
question no.6
12=90% of x
12= 0.9x
x= 13.33
= 12 is 90% of 13.33
Determine if (3, 7) is a Solution or not Solution to the linear system.
y = 2x + 1
y = -4x + 7
Answer:
y = 2x + 1 --> linear
y = -4x + 7 --> non-linear
Not a solution for linear system.
Step-by-step explanation:
for (a), y = 2x+1, substitute the x and y values. keep in mind, that in a linear pair, (x, y). So, for the first equation you get:
7 = 2x3 + 1. This is correct, because 6 + 1 is 7. Therefore, (a) is linear.
for (b), we have to substitute our values again. You get:
7 = -4x3 + 7, which is
7 = -12+7, which is not true. So, (b) is not linear.
This means that for the linear pair (3, 7), it does not satisfy both equations, which means that it is not a solution for the linear system.
Answer: NO
Step-by-step explanation: quizzez
Theo bought 2 hot dogs and two drinks for $4.00. At the same concession stand, Vicky bought 3 hot dogs and a drink for $4.50. Write a system of equations and find what is the price of a hot dog concession stand?
Answer:
The hot dog are $2.63
Step-by-step explanation:
Hot Dogs = H
Drinks = D
2H + 2D = 4
Divide both sides by 2
H + D = 2
Subtract D from either side
H = 2 -D
3H + D = 4.50
Plug in 2 - D for H
3(2- D ) + D = 4.50
6 - 3D + D = 4.50
6 - 4D = 4.50
Add 6 to either side
-4D = 10.50
Divide either side by -4
D = -2 . 625
Suppose the function f(t) = 95 cosine (StartFraction pi Over 10 EndFraction t) + 120 models the height of a seat on a Ferris wheel after t minutes.
Based on this information, what is the diameter of the Ferris wheel?
Answer: C
Step-by-step explanation:
Answer: C
Step-by-step explanation:
ye
What is the angle of rotation for the following figure?
120°
90°
60°
45°
Answer:
45
Step-by-step explanation:
360/8 = 45
The required angle of the rotation is 45°.
Angle of rotation is to be determined. Each spin represent degree of rotations.
The angle can be defined as the one line inclined over another line.
Total number of spines = 8
The angle of rotation = 360/8
= 45°
Thus, the required angle of the rotation is 45°.
Learn more about Angles here:
https://brainly.com/question/13954458
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Find the difference. -3/5 - (-5/9)
-2/45
-3/5 + 5/9
-27/45 + 25/45
-2/45
For lunch, you get tacos that cost $5.50
$
5
.
50
. You also get chips and salsa for $3.99
$
3
.
99
. What is the total cost of your lunch?
9.49$
Step-By-Step explanation:4+3(3x + 1) = 29 - 2x
Answer:
Step-by-step explanation:
4 + 9x + 3 = 29 - 2x
9x + 7 = 29 - 2x
11x = 22
x = 2
Answer:
x=2
Step-by-step explanation:
4 + 3(3x+1)=29 − 2x
4 + (3)(3x) + (3)(1)=29 + −2x
4 + 9x + 3=29 + −2x
9x + 7=−2x + 29
9x + 7 + 2x=−2x + 29 + 2x
11x + 7=29
11x+7 − 7=29 − 7
11x=22
11x /11=22/11
x=2
please helpppppppppp
Answer:
1.0
Step-by-step explanation:
You would fill in the box 1.0
To figure that out, the exponent for 10 is -9
Go to the original number and move the decimal 9 numbers to the right
You will get 1.0
-2(2x+3)=-4(x+1) - 2
Answer:
All real numbers are solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(2x+3)=−4(x+1)−2
Step 1: Simplify both sides of the equation.
−2(2x+3)=−4(x+1)−2
(−2)(2x)+(−2)(3)=(−4)(x)+(−4)(1)+−2(Distribute)
−4x+−6=−4x+−4+−2
−4x−6=(−4x)+(−4+−2)(Combine Like Terms)
−4x−6=−4x+−6
−4x−6=−4x−6
Step 2: Add 4x to both sides.
−4x−6+4x=−4x−6+4x
−6=−6
Step 3: Add 6 to both sides.
−6+6=−6+6
0=0
Answer:
All real numbers are solutions.
A store pays $37 for a tv stand Store marks up the price by 20 %. What is the new price?
Answer:
$44.4.
Step-by-step explanation: To find the new price, we would simply perform "37 + 20%" yielding 44.4, or forty four dollars and 40 cents. Hope this answered your question.
Answer: 44.4
Step-by-step explanation:
To calculate the original price of a discounted or sale item, you need to know the sale price and the discount percentage. The calculations include a simple formula that divides the sale price by the result of 1 minus the discount in percentage form. Use this formula to calculate the original or list price of an item.
Which expression shows 7+21 written as a product of two factors?
(A)3(1+7)
(B)3(3+7)
(C)7(3+3)
(D)7(1+3)
Expressing or writing 7+21 as a product of two factors requires the application of Distributive Property
The expression that shows 7+21 written as a product of two factors is
7(1 + 3).
To solve the above question, we apply the Distributive property.This is expressed as:a (b + c) = ab + ac
Where
a is the common factor
We are given the expression:
7 + 21
Splitting this into two factors using the distributive property
7 + 21
The common factor for 7 and 21 is 7
Hence, by factorising we have:
7 + 21 = 7(1 + 3)
Therefore, the expression that shows 7+21 written as a product of two factors is :
7(1 + 3)
The correct option is D
To learn more, visit the link below:
brainly.com/question/14424158
can you answer it. please
Answer:
5x + 10 + 55 = 90
5x = 90 -55 - 10
5x = 90 - 65
5x = 25
5x ÷ 5 = 25 ÷ 5
x = 5
Answer:
x=5
Step-by-step explanation:
If you replace the x in (5x+10)º
(5x+10)º
[5(5)+10]º
[25+10]º
= 35º
Combine the sums for angles M and R
55º+35º
=90º
Therefore, the answer is x=5.
Brainliest pls?
What is 625/1000 in simplest form?
Answer:
5/8
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest
ll and mmm are parallel to each other. whats the answer to x
Answer:
Step-by-step explanation:
What is the slope and y-intercept of the equation?
y = −35x+2
Answer:
slope = -35 y intercept= (0,2)
Step-by-step explanation:
Shonda has $73.28 more than Jane. Together they have
$130.30. How much money does Shonda have?
Plz help I am confusion
Answer:
85
Step-by-step explanation:
does anyone have the answer to this problem???
Answer:
94
Step-by-step explanation:
Chad and his two friends are picking blueberries at a local farm. Chad picked 2 1/2 pounds of blueberries, and one of his friends picked 1 3/8 pounds. If they ended up with a total of 5 1/4 pounds, how many pounds did chad’s other friend pick? Express your answer as a mixed number.
Answer: 1 3/8
Step-by-step explanation: