Answers
Answers & Step-by-step explanation:
A square root is a number that when multiplied by itself, equals the number you were asked to square root. For example, 2 is the square root of 4, because 2 x 2 = 4.
There is a method in algebra to simplify square roots into smaller square roots, where one can be solved. To do this, we need to find a perfect square that can be multiplied with the other square root to equal the number you were asked to square root.
Now, let's solve your problems!
___________________________________________________________
5.[tex]\sqrt{56}[/tex] = [tex]\sqrt{2^{2} * 14[/tex]
Now, we pull out the [tex]2^{2}[/tex] from under the radical, since we can square root this. [tex]\sqrt{2^{2} }[/tex] is simply 2.
[tex]2\sqrt{14}[/tex]
Since we can't solve [tex]\sqrt{14}[/tex], this is the final answer that your assignment is wanting.
___________________________________________________________
6.[tex]\sqrt{84}[/tex] = [tex]\sqrt{2^{2} * 21[/tex]
Now, we pull out the [tex]2^{2}[/tex] from under the radical, since we can square root this. [tex]\sqrt{2^{2} }[/tex] is simply 2.
[tex]2\sqrt{21}[/tex]
Since we can't solve [tex]\sqrt{21}[/tex], this is the final answer.
___________________________________________________________
7.[tex]\sqrt{-9}[/tex] = [tex]\sqrt{-1 * 9}[/tex]
Now, since this the number is negative, we must separate the negative out. so [tex]\sqrt{-9}[/tex] becomes [tex]\sqrt{-1 * 9}[/tex]. Since the square root of 9 is 3, we can rewrite this as:
[tex]3\sqrt{-1}[/tex]
However, since [tex]\sqrt{-1}[/tex] is imaginary, we must replace it with i. This also allows us to get rid of the square roots.
The answer becomes:
3i
___________________________________________________________
8.[tex]3\sqrt{18}[/tex]
This one is already partly simplified. Notice how the 3 is not under the radical. The only thing we have to work with is the [tex]\sqrt{18}[/tex].
[tex]\sqrt{18}[/tex] = [tex]\sqrt{9 * 2}[/tex]
We can square root 9 to get 3.
[tex]3\sqrt{2}[/tex]
Now, we multiply back the 3 from earlier to get:
[tex]9\sqrt{2}[/tex]
___________________________________________________________
9.[tex]\sqrt{28a^{2}b^{3} }[/tex]
This one may look daunting because we have the variables, but we can break it down and solve it just as easily as the rest. The first step is to square root the a² term, the answer is a. We can rewrite this as:
[tex]a\sqrt{28b^{3} }[/tex]
Next, we need to simplify [tex]\sqrt{28}[/tex], just like we did with all the other problems.
[tex]\sqrt{28}[/tex] = [tex]\sqrt{4 * 7}[/tex]
Since [tex]\sqrt{4}[/tex] is 2, we can move it out of the radical.
[tex]\sqrt{28} = 2\sqrt{7}[/tex]
Since we can do anything with the [tex]b^{3}[/tex] term, that stays under the radical.
The answer is:
[tex]2a\sqrt{7b^{3} }[/tex]
___________________________________________________________
I AM ALWAYS HAPPY TO HELP :)Related Questions
I NEED HELP WITH THIS FAST!! PLS Which of the following is the midpoint of the line segment with endpoints (-2, – 4) and (6, 8)?
A. (2, 2)
B. (2, 4)
C. (4, 4)
D. (4, 6)
Answers
Answer:
A
Step-by-step explanation:
-8(2z - 7c) use z = 5 and c = 2
Answers
Answer:
The answer is
-8(2×5-7×2)
=-8(10-14).
= -8(-4)
= 32.
Step 1. Solve inside the parentheses so 2x5= 10 and 7x2=14 then you have -8(10-14)
Step 2. Distribute -8 so -8x10= -80 and -8x14= -112 = -80- -112
Step 3. Subtract totals: -80- -112 = 32 it’s a positive because of the two negatives being subtracted together
You are given the dollar value of a product in 2016 and the rate at which the value of the product is expected to change during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the terms of year t. (Let t=16 represent 2016)
Answers
Complete Question
You are given the dollar value of a product in 2016 and the rate at which the value of the product is expected to change during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the terms of year t. (Let t=16 represent 2016)
2016 Value Rate
$2150 $250 increase per year
Answer:
The equation is [tex]V(t) = 250 (t) + 4.3[/tex]
Step-by-step explanation:
Generally linear equation is represented mathematically as follows
[tex]y = mx + c[/tex]
Where y is the dependent variable which in this case is dollar value of a product (V(t))
x is the independent variable which in this case is the time in years(t)
m is the slope which in this case is the rate at which the value of the product is expected to change during the next 5 years
So
[tex]V(t) = m t + c[/tex]
When t = 16 years
[tex]2150 = 250 (16) + c[/tex]
=> [tex]c = 4.3[/tex]
So the linear equation is
[tex]V(t) = 250 (t) + 4.3[/tex]
x-3 divided by 4 = 12
Answers
Answer:
x = 51
Step-by-step explanation:
(x-3) /4 = 12
Multiply each side by 4
(x-3) /4 *4 = 12*4
x-3 = 48
Add 3 to each side
x-3+3 = 48+3
x = 51
Answer:
[tex]\Huge \boxed{x=51}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x-3}{4} =12[/tex]
Multiplying both sides by 4.
[tex]\displaystyle \frac{x-3}{4} *4=12 *4[/tex]
[tex]x-3=48[/tex]
Adding 3 to both sides.
[tex]x-3+3=48+3[/tex]
[tex]x=51[/tex]
[tex]\rule[225]{225}{2}[/tex]
Simplify: (6x-4) (9x-2)
Answers
Step-by-step explanation:
Hey, there!!
While simplifying the algebraic expression, you must be very careful about the signs.
Here,
(6x-4) (9x-2)
Multiply 2nd expression by 1st expression,
= 6x ( 9x - 2) -4 ( 9x - 2)
[tex] = (54 {x}^{2} - 12x) - (36x - 8)[/tex]
Opening brackets,
[tex] = 54 {x}^{2} - 12x - 36x + 8[/tex]
Simplifying them we get,
[tex] = 54 {x}^{2} - 48x + 8[/tex]
Therefore, the answer is 54x^2 - 48x +8.
Hope it helps..
Need an answer I need help?
Answers
Answer:
You need help or I need help?
Step-by-step explanation:
(I typed with a keyboard)
The digit at ones place of a two digit number is three times the digit at tens place.When 54 is added to the number its digit are reversed.Find the number
Answers
Answer:
The number is 39
Step-by-step explanation:
Let the number at the tens place be x and the number at ones place be y.
Hence, The number is 10x + y.
From the question, the digit at ones place (y) is three times the digit at tens place (x). That is, y is three times x. This means
y = 3x ...... (1)
Also, When 54 is added to the number, its digits are reversed (That is, the resulting number would be 10y + x). This means
10x + y + 54 = 10y + x ...... (2)
Put the value of y = 3x from equation (1) into equation (2) to solve for x
Then,
10x + y + 54 = 10y + x
10x + 3x + 54 = 10(3x) + x
13x + 54 = 30x + x
13x + 54 = 31x
31x - 13x = 54
18x = 54
x = 54/18
x = 3.
Now, Put the value of x = 3 into equation (1) to solve for y
y = 3x
y = 3(3)
y = 9.
Hence, x = 3 and y = 9.
Since the number is 10x + y
Substitute the values of x and y.
Then,
10x + y = 10(3) + 9
=30 + 9
= 39
Hence, the number is 39.
May someone answer me????
Q1. What is the solution set of 9x-4<13x-7
A. [1,2,3]
B. [1,2,3......]
C. [0,1,2,3...]
D. [0,1,2,3]
Answers
Answer:
[tex]\huge\boxed{B. [1,2,3,........]}[/tex]
Step-by-step explanation:
[tex]9x - 4 < 13 x - 7[/tex]
Combining like terms
=> [tex]-4 + 7 < 13x-9x[/tex]
=> [tex]3 < 4x[/tex]
Dividing both sides by 4
=> [tex]x > \frac{3}{4}[/tex]
=> [tex]x > 0.75[/tex]
This means that x can be any number that is greater than 0.75
So, The solution set = [1,2,3,........]
solve the system of equations. please help asap! i appreciate it!
Answers
Answer:
B. (-1, 2) and (4,7)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
20 points!!! please please help I don't understand how to do this :( please explain it so that I can do problems similar
Answers
Answer:
Line n
Step-by-step explanation:
We see on the picture that XM=MY
So M is midpoint of the segment XY
Line n passes through midpoint M, so it is the segment bisector of XY
Correct choice is Line n
Find lcm of 861,1353 using methods
Answers
Answer:
Step-by-step explanation:
3 ∣ 861,1353
______________
41 ∣ 287,451
______________
7 ∣ 7,11
______________
11 ∣ 1,11
______________
1,1
LCM = 3 × 41 × 7 × 11
= 9471.
Hope this helps
plz mark as brainliest!!!!!!
Answer:
861 = 3×7×41
1353 = 3×11×41
LCM = 3×7×11×41
= 9471
Step-by-step explanation:
Christopher is designing a rectangular fence to go around his school's chicken coop The length should be 2 ft longer than the width Christopher marks two vertices of the rectangle at Pando in the coordinate plane PO is one of the shorter sides. Each unit in the coordinate plane represents ift Daw rectangle PORS in the coordinate plane to model the fence b. How many feet of long does wed to go around the chicken coop! pls help
Answers
Answer:
Christopher needs 24 feet of fencing. Your rectangle should be 5x7 feet.
Step-by-step explanation:
Line PO is 5 feet wide, and we know that the side across from it is 5 feet wide. 5+5=10. The longer sides are supposed to be 2 feet longer than the shorter sides, so they have to be 7 feet long. 7+7=14. 10+14=24.
Which phrase is equivalent to the expression (17×4)−35?
Answers
Answer:
-2380
Step-by-step explanation:
you first multiply 17 by 4
next multiply 68 by 35
you get 2380
finally add a negative sign in front of it
A line with a slope of -2/5 that passes through the point (-10,8)
Answers
Step-by-step explanation:
[tex]m = - \frac{2}{3} \\ ( - 10 ,\: 8) = (x_1,y_1)[/tex]
[tex]y-y_1=m(x-x_1)[/tex]
Plug in the values into the equation
[tex]y - 8 = - \frac{2}{3} (x - ( - 10)) \\ y - 8 = - \frac{2}{3}( x + 10) \\ [/tex]
[tex]y - 8 = - \frac{2}{3} x - \frac{20}{ 3 } \\ y = - \frac{2}{3} x - \frac{20}{3} + 8 \\ [/tex]
[tex]y = - \frac{2}{3} x + \frac{4}{3} [/tex]
To solve for x-intercept , Arrange the values in
[tex]ax + by + c = 0[/tex]
=
[tex] - \frac{2}{3} x - y + \frac{4}{3} = 0[/tex]
To find x-intercept .let y = 0 in the above equation
[tex] - \frac{2}{3} x - y + \frac{4}{3} = 0 \\ - \frac{2}{3} x - 0 + \frac{4}{3} = 0 \\ [/tex]
[tex] - \frac{2}{3} x + \frac{4}{3} = 0 \\ - \frac{2}{3} x = - \frac{4}{3} [/tex]
Solve for x ;
[tex]x = 2[/tex]
To find y intercept , let x = 0
and solve for y .
I hope it helps <3
y = mx + b
m = -²/₃ and line pases through (-10, 8) so:
8 = -²/₃(-10) + b
8 = ²⁰/₃ + b
b = 8 - ²⁰/₃
b = 8 - 6²/₃
b = 1¹/₃
b = ⁴/₃
Slope Intercept Form:
y = -²/₃x + ⁴/₃x-intercept:
-²/₃x + ⁴/₃ = 0
-²/₃x =- ⁴/₃
x = - ⁴/₃ ÷(-²/₃)
x = 2
(2, 0)y-intercept:
y = -²/₃•0+ ⁴/₃ = ⁴/₃
(0, ⁴/₃)Which formula defines the sequence f(1) = 2, f(2) = 6, f(3) = 10,f(4) = 14.
f(5) = 18?
Answers
Answer:
2 + 4(n-1).
Step-by-step explanation:
As x increases from 1, f(x) increases by 4.
Arithmetic sequence.
So the formula is a1 + d(n - 1)
= 2 + 4(n-1).
The function which defines the series will be 2 + 4(n-1).
What is a number series?
A series of numbers is called a number series. We must identify the laws that lead to the production of a number series in order to answer the questions about number series. The questions that might arise from these topics are as varied as these series themselves.
Given functions are f(1) = 2, f(2) = 6, f(3) = 10,f(4) = 14 f(5) = 18. The sequence will be represented by the function:-
As x increases from 1, f(x) increases by 4. Arithmetic sequence.
F = a₁+ d(n - 1)
F = 2 + 4(n-1).
Therefore, the function which defines the series will be 2 + 4(n-1).
To know more about the number series follow
https://brainly.com/question/6561461
#SPJ2
Given the number Line, what ray does not contain CB?
Answers
Answer:
[tex]\large \boxed{\mathrm{C }}[/tex]
Step-by-step explanation:
The ray CF does not contain the ray CB.
The number line, does not contain CB is CF. Therefore, option C is the correct answer.
What is line segment?A line segment is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon.
In the given number, there are six divisions A, B, C, D, E, F.
Ray CB is in the line segment AD, AE, FA, BE, BF.
The number line, does not contain CB is CF. Therefore, option C is the correct answer.
Learn more about the line segment here:
https://brainly.com/question/25727583.
#SPJ2
If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t^2. Find the average speed over the given time intervals. [1, 2]
Answers
Answer:
50.42m/sStep-by-step explanation:
Average speed is the change in distance of a body with respect to time. This is expressed as:
[tex]v = \delta y/\delta t\\v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}[/tex]
Given the function of the height in metres expressed as y = 56t − 1.86t² and time interval [1,2]
t₁ = 1sec and t₂ = 2 secs
y(t₂) = 56t₂ − 1.86t₂²
y(2) = 56(2) − 1.86(2)²
y(2) = 112-7.44
y(2) = 104.56
y(t₁ ) = 56t₁ − 1.86t₁ ²
y(1) = 56(1) − 1.86(1)²
y(1) = 56-1.86
y(1) = 54.14
Substituting the derived value into the formula for finding the average speed:
[tex]v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}\\\\v = \dfrac{104.56-54.14}{2-1}\\\\v = \dfrac{50.42}{1}\\\\v = 50.42m/s[/tex]
Hence, the average speed over the given time intervals. [1, 2] is 50.42m/s
Solve for x:
9x - 3 - 8x = 7 - x
x= -7
x=-2
x = 4
x = 5
Answers
Answer:
x = 5
Step-by-step explanation:
Given
9x - 3 - 8x = 7 - x , that is
x - 3 = 7 - x ( add x to both sides )
2x - 3 = 7 ( add 3 to both sides )
2x = 10 ( divide both sides by 2 )
x = 5
Answer:
Step-by-step explanation:
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution
-32 + 3y = 9
22 – 7y = -14
Choose 1 answer:
Answers
Answer:
see below
Step-by-step explanation:
If your equations are the ones shown in the second attachment, then their solution is the one shown in the first attachment.
_____
Apparently, your "interactive graph" needs two points to draw a line through. For these equations, the x- and y-intercepts are found easily enough.
-3x +3y = 9
To find the x-intercept, set y=0 and divide by the coefficient of x: 9/-3 = -3
To find the y-intercept, set x=0 and divide by the coefficient of y: 9/3 = 3.
2x -7y = -14
Same procedure: x-intercept = -14/2 = -7; y-intercept = -14/-7 = 2.
All of these intercepts are shown in the third attachment. Using them, you can use your tool to plot the lines and estimate their point of intersection.
What is the quotient when the product of 20 and 5 is divided by the sum of 20 and 5?
Answers
Answer:
=4
Step-by-step explanation
(20x5) divided by (20+5)
100 divided by 25=4
Answer:
its 4
Step-by-step explanation:
5 four times is 20. Count by fives and once you get to 4 you'll get 20.
3. Find the value for x that makes the following equation true.
3x - 7 = x + 3
A)x = -5
B) x = 2
C) x = 5
D) x = -2
Can someone please help me out ??
Answers
Answer:
C
Step-by-step explanation:
So we have the equation:
[tex]3x-7=x+3[/tex]
Subtract x from both sides. The right cancels:
[tex](3x-7)-x=(x+3)-x\\2x-7=3[/tex]
Add 7 to both sides. The left cancels;
[tex](2x-7)+7=(3)+7\\2x=10[/tex]
Divide both sides by 2:
[tex](2x)/2=(10)/2\\x=5[/tex]
So, our answer is C
Answer:
C) x = 5
Step-by-step explanation:
A) 3(-5) - 7 = (-5) + 3
-15 - 7 = (-5) + 3
-23 = (-5) + 3
-23 = -2 (they do not equal the same so no)
B) 3(2) - 7 = (2) + 3
6 - 7 = (2) + 3
-1 = (2) + 3
-1 = 5 (they do not equal the same so no)
C) 3(5) - 7 = (5) + 3
15 - 7 = (5) + 3
8 = (5) + 3
8 = 8 (they equal the same so yes)
D) 3(-2) - 7 = (-2) + 3
-6 - 7 = (-2) + 3
-13 = (-2) + 3
-13 = 1 (they do not equal the same so no)
q+ad=m solve for d, i need help now please!
Answers
Answer:
d =(m-q)/a
Step-by-step explanation:
[tex]q+ad=m\\ad = m-q\\\frac{ad}{a} = \frac{m-q}{a} \\\\d = \frac{m-q}{a}[/tex]
Answer:
d = ( m-q)/a
Step-by-step explanation:
q+ad=m
Subtract q from each side
q-q+ad=m-q
ad = m-q
Divide each side by a
ad/a = ( m-q)/a
d = ( m-q)/a
Evaluate if x = 1 , y = 3 , and z = 5
|5z - 2y|
Answers
Answer:
1
Step-by-step explanation:
Write an algebraic expression that models the word phrase.
the sum of the product of a number x and 15, and 13
Choose the correct
Answers
Answer:
15x + 13
Step-by-step explanation:
Product of a number 'x' & 15 : x *15 = 15x
Sum of 15x & 13:
15x + 13
A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will the plane fly? Show your work to receive full credit.
Answers
Get the total miles
T x M
6 x 500 = 3000 miles
Find how many minutes did it travel
Total miles / by Mpm
3000/ 11
Eric has a jar of quarters and dimes. He had 48 coins in the jar. The total value of the coins is $7.35. How many quarters are.in the jar?
Answers
Answer:
17
Step-by-step explanation:
$4.25 - 17 quarters
$3.10 - 31 dimes
Answer:
17 quarters and 31 dimes are in the jar
Step-by-step explanation:
First, you need to set up two equations based on the information given.
First is an equation for the total number of coins:
48 = d + q
d = dimes
q = quarters
Second is an equation for the total amount in the jar and the respective amount per variable (d = .1 , q = .25).
7.35 = .1d + .25q
Using the first equation, you need to solve for one variable. In this case well solve for d, so we can later plug it in to solve for q.
48 = d + q
d = 48 - q
Next, we can plug our formula for d into our second equation, so we only have one variable to solve for, q.
.1(48-q) +.25q = 7.35
4.8 - .1q + .25q = 7.36
4.8 + .15q = 7.35
.15q = 2.55
q = 17
Finally, to solve for d with a number, we can plug q = 17 back into our first formula : 48 = d + q
48 = 17 + d
d = 31
I hope this helps!
-TheBusinessMan
If A = {1, 2, 3, 4} and B = {4, 5, 6}, find A ∪ B.
Answers
Answer:
{ 1,2,3,4,5,6}
Step-by-step explanation:
write a letter to your friend and tell him at least three reasons why he should come to your school
Answers
Answer:
hi my friend I can't come to the school because of these three reasons is
1)I went to tirupati
2)I got I'll
3)I went to my grand parents house
this is your answer bro
earth completes its 584-million-mile orbit of the sun in about 365 days. how fast is earth moving through its orbit in miles per hour?
Answers
Answer:
66666.67 miles/hr
Step-by-step explanation:
Given that:
Earth complete its orbit of the Sun which is 584 million miles
Time taken to complete the orbit = 365 days
To find:
Speed of earth in miles per hour = ?
Solution:
First of all, we need to convert the distance in miles and time in hours to get our answer.
Let us have a look at the conversion units:
1 day = 24 hours
So, 365 days = 24 [tex]\times[/tex] 365 hours = 8760 hours
Distance traveled = 584 million miles
1 million miles = 1000000 miles
584 million miles = 584000000 miles
Formula for speed is given as:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Let us put the values of Distance and time given in miles and hours to get the speed in miles/hr.
[tex]Speed = \dfrac{584000000}{8760}\\\Rightarrow \bold{Speed = 66666.67\ miles/hr}[/tex]
So, the answer is: 66666.67 miles/hr
.837537537 as a fraction
Answers
Answer:
.837537537 =
837537537
1000000000
Step-by-step explanation:
Answer:
0
-
1000000000
i think it will help you