Answer:
5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]
[tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]
[tex]\sqrt{12}[/tex] = [tex]\sqrt{4(3)}[/tex] = [tex]\sqrt{4(3)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]
Then
[tex]\sqrt{27}[/tex] + [tex]\sqrt{48}[/tex] - [tex]\sqrt{12}[/tex]
= 3[tex]\sqrt{3}[/tex] + 4[tex]\sqrt{3}[/tex] - 2[tex]\sqrt{3}[/tex]
= 5[tex]\sqrt{3}[/tex]
Answer:
[tex] \sqrt{27} + \sqrt{48} - \sqrt{12} \\ \sqrt{3 \times 3 \times 3} + \sqrt{2 \times 2 \times 2 \times 2 \times 3} - \sqrt{2 \times 2 \times 3} \\ 3 \sqrt{3} + 4 \sqrt{3} - 2 \sqrt{3} \\ 7 \sqrt{3} - 2 \sqrt{3} \\ \boxed{5 \sqrt{3}} [/tex]
5√3 is the right answer.Can some plsss actually help me I have been getting bad luck! I need to submit soon. Plssss
Answer:
SCB
Step-by-step explanation:
A bathtub is draining at a constant rate. After 2 minutes, it holds 28 gallons of water. Three minutes later it holds 7 gallons of water. Write an equation that represents the number y in gallons of water in the tub after x minutes.
Answer:
-21/3 min
Step-by-step explanation:
1. Li is making beaded necklaces. For each necklace, she uses 27 spacers, plus 5 beads per inch of necklace length.Write an equation to find how many beads Li needs for each necklace. Veel a. input variable: b. output variable: c. equation:
Answer: Given that Li is making beaded necklaces for each necklace, she uses 27 spacers, plus 5 beads per inch of necklace length.
The equation to find how many beads Li needs for each necklace can be obtained as follows:
A. The input variable is the number of inches of the necklace length (x).
B. The output variable is the number of beads Li needs for each necklace (y).
C. The required equation is given by
y = 5x
Step-by-step explanation:
A pair of radar stations monitors the path of a helicopter. Station A is located at the origin of a coordinate plane. Station B is located 100 miles east of station A. The difference in the distances from the helicopter to each station is 60 miles. Which equation represents the possible locations of the helicopter?
Answer:
a
Step-by-step explanation:
edg 2021 correct
The equation first represents the possible locations of the helicopter option first is correct.
What is hyperbola?It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
A pair of radar stations monitor the path of a helicopter.
The path will be a hyperbola.
The center of the hyperbola = (100/2, 0) = (50, 0)
(h, k) = (50, 0)
a = 60/2 = 30
b = 100 - 60 = 40
The standard equation of the hyperbola:
[tex]\rm \dfrac{x^2-h}{a^2}-\dfrac{y^2-k}{b^2}= 1[/tex]
[tex]\rm \dfrac{x^2-50}{30^2}-\dfrac{y^2-0}{40^2}= 1[/tex]
[tex]\rm \dfrac{x^2-50}{900}-\dfrac{y^2}{1600}= 1[/tex]
Thus, the equation first represents the possible locations of the helicopter option first is correct.
Learn more about the hyperbola here:
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PLS SOMEONE HELP ME!!! will reward to the first correct person brainiest
Negative numbers dont have real roots, so you cannot have a square root of -1
Example: -1 x -1 does not equal -1, so this means you cannot do the same the other way
Answer:
Real numbers can be positive or negetive and include the number zero. They are called real numbers because they are not imaginary, which is a different system of numbers. Imaginary numbers are numbers that cannot be quantified, like the square root of -1.
hope this helps!!:)
Step-by-step explanation:
Anyone know the answer I’m lost…
Answer:
#1: -1
#2: 1
Step-by-step explanation:
Anything raised to the 0 power is 1, but in question 1 the negative is outside the parenthesis, so it makes it -1.
Complete the following sentence. The slope of the graph of y = 5 x is ___
Answer:
We conclude that the slope of the graph of y = 5 x is 5.
Step-by-step explanation:
We know the slope-intercept form of the line equation
y = mx+b
where
m is the slope b is the y-interceptGiven the line
y = 5x
comparing with the slope-intercept form of the line equation
The slope of the line = m = 5
Therefore, we conclude that the slope of the graph of y = 5 x is 5.
Write each ratio as a fraction in lowest terms. 8 to 9
Answer:
8/17 and 9/17
Step-by-step explanation:
8:9
both add up to 17
so it can be 8/17 or 9 but it cannot be simplified unless if you want them both as a mixed number which is
8/17 as a mixed number is 2 1/17
9/17 as a mixed number is 1 8/17
Devon has two wood boards that are the same length. He divides each board into
three equal pieces. He uses 5 of those pieces in a project. The fraction shows the
fraction of the wood boards Devon used. Which is another way to show this amount?
Answer:
by transfering the fraction to decimal
PLEASE HELP ILL GIVE BRAINLIEST The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
(-8,0) (-1,0) (4,0)
Step-by-step explanation:
Just look at where y=0
Answer:
-8, -1 and 4
Step-by-step explanation:
look at where the line meets the x-axis and at what point
find the measure of
The length of a rectangle is 10 m more than its width if the perimeter of a rectangle is 80 m find the dimensions of the rectangle.(perimeter is just adding up all the sides)
Answer:
width= 15
length=25
Step-by-step explanation:
width= x
length= 10+x
2(10+x+x)= 80
2(10+2x)= 80
20+4x= 80
4x=60
x= 15
width= x= 15
length= 10 +x= 10+15= 25
URGENT!!
1) If (-4 + 3i) is a zero of the function, list another known zero
Step-by-step explanation:
The conjugate of the complex root must also be a zero of the function if the complex root is already a zero.
Conjugate of -4 + 3i is -4 - 3i.
Hence -4 - 3i is also a zero of the function.
Answer:
-4 - 3i
Step-by-step explanation:
If a zero of a function is a+bi, there is at least one other zero, a-bi, called the conjugate.
Match each product of powers with its simplified expression.
57.52
54
5.52
1
56
56,5-
5?
54:54:59
520
5.5
50
Answer:
multiplication
Step-by-step explanation:
928
8292
92229
929292
28282
A quadrilateral has vertices S(0, 0), T(4, 0), U(5, 4), and V(1, 4). What is the most precise name for the quadrilateral?
parallelogram
rhombus
rectangle
square
Answer:
rhombus
Step-by-step explanation:
Answer: parallelogram
Step-by-step explanation: trust
Which of the following statement must be true?I WILL MARK THE BRAINIEST
Answer:
d) XY > RS
Step-by-step explanation:
When comparing triangles, the angle opposite to the side in question determines the length. In this case 99 is greater than 75. Since XY is the side opposite to 99, it is the larger side
Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 868686 chocolate chip cookies and 424242 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?
packages
Answer:
Think the answer is 1292928
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
Using the graph, determine the equation of the axis of symmetry
Answer:
-5 or (-5,0)
Step-by-step explanation:
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
The solution is : the equation of the axis of symmetry is x= -5 or (-5,0).
What is parabola?The parabola is a plane curve which is mirror symmetrical and is approximately U-shaped. It fits several superficial different mathematical descriptions.
here, we have,
we know that,
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.
The axis of symmetry always passes through the vertex of the parabola .
The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
Hence, The solution is : the equation of the axis of symmetry is x= -5 or (-5,0).
learn more on parabola:
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What is 4,321,109,432
Answer:
4321109432 is waki slush
Step-by-step explanation:
the variable x varies jointly y and z and x=8 when y =-6 and z=-3. find k and write the joint variation equation
Answer:
It’s 14
Step-by-step explanation:
7 times 2 is 14
f(x) = (1)
What is the x intercept
Answer:
There is no x-intercept, only a y-intercept, which would be 1
Help me get the answer to this please
Please help me this is called Writing Equations
hello i would like help and the answer to this please; what is the nth term rule of
-5 -4 -1 4 1 1 20 31
Answer:
The nth term of the given sequence
[tex]a_{n} = a_{n-1} + (2n-1)[/tex]
Step-by-step explanation:
Explanation:-
Given sequence -5,-4,-1,4,11,20,31
a₀ = -5
a₁ = a₀ +1 = -5 +1 = -4
a₂ = a₁ + 3 = -4+3 = -1
a₃ = a₂ + 5 = -1 +5 = 4
a₄ = a₃ + 7 = 4 + 7 =11
a₅ = a₄ + 9 = 11+9 = 20
a₆ = a₅ + 11 = 20+11 = 31
a₇ = a₆ + 13 = 31 +13 =44
and so on
The nth term of the given sequence
[tex]a_{n} = a_{n-1} + (2n-1)[/tex]
solve 5^2x+1-5^2x=150 with steps
Answer:
x = 2.98
Step-by-step explanation:
5^2x + 1 - 5^2x = 150
25x + 1 + 25x = 150
50x + 1 = 150
50x = 149
x = 2.98
5^2x + 1 - 5^2x = ?
5^2(2.98) + 1 - 5^2(2.98) = ?
25(2.98) + 1 + 25(2.98) = ?
74.5 + 1 + 74.5 = ?
149 + 1 = ?
150 = ?
The value of x is 2.98
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given an equation, 5^2x+1-5^2x=150
5^2x + 1 - 5^2x = 150
25x + 1 + 25x = 150
50x + 1 = 150
50x = 149
x = 2.98
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1) 4b - 2 = 6
2) 5x + 4 = 24
3) 7c - 11 = 17
4) 18 = 3k - 3
5) 9/4 - 1 = 3
6) 2/3v = 2 - 4/3
Answer:
b = 2x = 4c = 4k =7I'm sorry, I think you have accidentally left out the variable in the question. I can't solve it because there's no variable to solve.v = 1There is no specific instruction in your question. I try to answer it based on what I understand from the equations. Hope this helps!
Step-by-step explanation:
Just rearrange the equation to solve the variable.
A builder is trying to level out some ground with a front-end loader. He picks up some excess dirt at (9, 16) and then maneuvers through the job site along the rule (x+2, y+3), (x-3, y+4), and then (x+2, y-5) to get to the spot to unload the dirt. Find the coordinates of the unloading point. Write a rule that describes the translation from the loading point to the unloading point.
HELP ME PLEASEEE GIVING BRANLIEST this equation has no solution, one solution, or infinitely
many solutions.
a. 1 + 3x = 3x + 1
b. 4x + 1 = 3x + 2
C. 5x + 1 = 5x – 2
d. –3(x + 1) = -3x + 3
Answer:
A. infinite solutions
B. One answer
C. No solution
D. Infinite solutions
Jada had some dimes and quarters that had a total value of $12.50. The relationship between the number of dimes, d, and the number of quarters, q, can be expressed by the equation
01 d+0.25q=12.5.
If Jada has 4 quarters, how many dimes does she have?
If Jada has 10 quarters, how many dimes does she have?
Answer:
ther are 25 dimes in 10 quarters
Step-by-step explanation:
The number of gallons used to wash dishes varies directly with the number of loads. If it takes 65 gallons to wash 5 loads. How many gallons would be needed to wash 3 loads?
Answer:
39 gallons
Step-by-step explanation:
65 gallons ÷ 5 loads = 13 gallons per load
13 gallons per load • 3 loads = 39 loads