Answer:
√3/3
Step-by-step explanation:
Multiply the numerator and denominator by the conjugate.
Hope this helps!! Please consider marking brainliest! Have a good one!!
Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator.
If the radical in the denominator is a square root, then you multiply by a square root that will give you a perfect square under the radical when multiplied by the denominator. If the radical in the denominator is a cube root, then you multiply by a cube root that will give you a perfect cube under the radical when multiplied by the denominator and so forth...
Note that the phrase "perfect square" means that you can take the square root of it. Just as "perfect cube" means we can take the cube root of the number, and so forth.
Keep in mind that as long as you multiply the numerator and denominator by the exact same thing, the fractions will be equivalent.
Step 2: Make sure all radicals are simplified.
Some radicals will already be in a simplified form, but make sure you simplify the ones that are not. If you need a review on this, go to Tutorial 39: Simplifying Radical Expressions.
Step 3: Simplify the fraction if needed.
Be careful. You cannot cancel out a factor that is on the outside of a radical with one that is on the inside of the radical. In order to cancel out common factors, they have to be both inside the same radical or be both outside the radical.
[tex]\huge\sf\underline{\purple{❥}\pink{Q}\orange{U}\blue{E}\red{S}\green{T}\purple{I}\pink{O}\red{N}}[/tex]
rationalize the denominator of 1/√3[tex]\huge\sf\underline{\purple{❥}\pink{A}\orange {N}\blue{S}\red{W}\green{E}\purple{R}}[/tex]
[tex] \frac{1}{ \sqrt{3} } \\ \\(to \: rationalize \: the \: denominator \\ we \: have \: multiply \: \frac{1}{ \sqrt{3} } \: to \: the \:given \: fraction \: \: \: ) \\ = \frac{1}{ \sqrt{3} } \times \frac{1}{ \sqrt{3} } \\ = ( \frac{1}{ \sqrt{3} } ) {}^{2} \\ = \frac{1}{3} [/tex]
HOPE IT HELPS YOU..
2×+7+5×-4-× simplified
Answer:
Ummm
Step-by-step explanation:
This is confusing
Answer:
very confusing
Step-by-step explanation:
explainahh
If a dilation is applied to a triangle, then the image must be _____.
a congruent triangle.
a triangle that is flipped over a line of symmetry.
a triangle that is rotated about a given point.
a larger or smaller triangle.
Answer:
a triangle that is rotated about a given point.
Step-by-step explanation:
Answer:
If a dilation is applied to a triangle, then the image must be similar.
Step-by-step explanation:
We have been given an incomplete sentence. We are supposed to fill in the given blank.
Sentence:
If a dilation is applied to a triangle, then the image must be _____.
Since we know that after dilating a figure by a scale factor, the resulting image will be either bigger or smaller than the original figure depending on the scale factor.
If the scale factor is greater than one, so resulting figure will be bigger than the original figure.
If the scale factor is less than one, so resulting figure will be smaller than the original figure.
Since all the angles of a triangle add up-to 180 degrees, so the measure of angles of the resulting figure will be same as the original triangle.
Since the corresponding sides of pre-image and image are proportional, so both triangles will be similar not congruent.
also please mark me as brailest
A dance school has 70 salsa dancers. If 14% of the total number of dancers in the school are salsa dancers, what is the total number of dancers in the school? (1 point)
500
560
840
860
what is the answer to 32−2⋅3+5 i need it now please helppp
Answer: 31
Step-by-step explanation:
Order of Operations: PEMDAS
Multiplication comes first so you do −2⋅3 which equals -6
Then you can add 5 to -6,
or subtract -6 from 32.
rearrange x - y + 1 = 0
Answer:
y=x+1
or x=y-1
Step-by-step explanation:
What’s the answer to this pls! Thanks uuuu!!
Maria is putting up a shelf on a wall in her closet. The figure below shows triangle ABC, which
represents a bracket that will be used to support the shelf. What is the length of the wall? *
Anwer:
14 cm
Step-by-step explanation:
Let's apply the Phytagorean Theorem [tex]a^{2}+b^{2}=c^{2}[/tex]
Since we only have one side and the hypotenuse:
[tex]a^{2}+24^{2}=28^{2}\\a^{2}+576=784\\a^{2}=784-576\\a^{2}= 208\\[/tex]
[tex]a=\sqrt{208}\\a= 14.42\\a= 14 cm[/tex]
The length of the wall is approximately 14.4 units.
What is Pythagoras' theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Maria is putting up a shelf on a wall in her closet.
The figure below shows triangle ABC, which represents a bracket that will be used to support the shelf.
AC = 24, BC = 28 = hypotenuse, AB = wall
Using the Pythagorean theorem, we can solve for the length of AB (the wall):
AB² = BC² - AC²
AB² = 28² - 24²
AB² = 784 - 576
AB² = 208
AB = sqrt(208)
AB ≈ 14.4
Therefore, the length of the wall is approximately 14.4 units.
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What is the answer???
Answer:
3, 11, and 14
Step-by-step explanation:
One side length of a triangle that is selected at random must be smaller than the sum of the other two side lengths and bigger than their difference
one side of this triangle is 4 and the other is 7 so if we call the third side length x
7-3 < x < 7+3 ➡ 4 < x < 11
7
An artist's online shop sold 220 prints in January. In February, this number increased by 15 percent. How many prints did the artist's online shop sell in
February?
Answer:
253
Step-by-step explanation:
220 x 1.15
pls help i will give u brianliest
Answer:
Slope = -3
y-intercept = (0,-4)
Equation: y = -3x-4
Step-by-step explanation:
We can take any two input-output pairs from the table to find the equation of given function.
Linear function is given by:
[tex]y =mx+b[/tex]
Here m is the gradient of the functions which is defined as:
[tex]m = \frac{rise}{run} = \frac{y_2-y_1}{x_2-x_1}[/tex]
The input-output pairs are:
(x1,y1) = (-1,-1)
(x2,y2) = (0,-4)
First of all,
[tex]m = \frac{-4-(-1)}{0-(-1)}\\= \frac{-4+1}{1} = -3[/tex]
Putting the value of slope in the equation
[tex]y = -3x+b[/tex]
Putting (-1,-1) in the equation
[tex]-1 = -3(-1)+b\\-1 = 3+b\\b = -1-3\\b = -4[/tex]
The equation will be:
[tex]y = -3x-4[/tex]
Hence,
Slope = -3
y-intercept = (0,-4)
Equation: y = -3x-4
What is the percent decrease of 51,300 and 45,800
Answer:
about 10.7%
Step-by-step explanation:
51300x=45800
x= approx. 0.893 of original so 1-.893=.107
.107*100=approx. 10.7% decrease
The ratio of commercial time to television program time is 13 minutes to 47 minutes. How many minutes of commercial time in a two-hour television show?
Answer:
26 minutes
Step-by-step explanation:
13:47=1 hour
Multiply by 2
26:94= 2 hours
PLEASE HELP! WILL MARK BRAINLIEST
Which value of b results in infinitely many solutions for the system?
Answer:
D. 3
Step-by-step explanation:
If you multiply the second equation, 3x+2y=1 by 3, it will be 9x+6y=3 which will cancel out the first equation giving you infinitely many solutions.
Find the slope of the line without graphing using the 2 points below.
(1 , 5) & (3 , 12)
m = _______
Answer:
m=3.5 or 3 1/2 or 7/2
Step-by-step explanation:
y1 minus y2 over x1 minus x2 is the formula that I used.
The equation y = 2.50x determines the total cost, y, of buying x carnival tickets. Use the drop-down menu to complete the sentence. According to the equation, 15 carnival tickets would cost .
Answer:
$37.50
Step-by-step explanation:
In this problem, all we need to do is enter the given value into the equation. In this case, [tex]x[/tex] carnival tickets = 15. So,
[tex]y=2.50(15)[/tex]
[tex]y=37.50[/tex]
The total cost of 15 carnival tickets is $37.50.
Hope this helps!
Answer:
37.50
Step-by-step explanation:
Find the slope of the line that passes through
(-4, 7) and (-6, -4)
Answer:
The slope of the line is 11/2
remember, rise over run.
Step-by-step explanation:
May I have brainliest please? :)
Answer:
[tex]m=\frac{11}{2}[/tex]
Step-by-step explanation:
PLEASE HELP MEEEE!
What is the slope?
M= 2/1
M= 1/2
M= -2/1
M= -1/2
hi
slope is 1/2
You have A (0;0) and B ( 2;1)
slope is ( Yb-Ya )/(Xb-Xa) = (1-0)/ ( 2-0) = 1/2
PLEASE HELPP!!
(look at the picture)
Answer:
Ok
Step-by-step explanation:
Answer: C. Taking a trip on a raft is safe if the weight of guests and their belongings (x pounds) and the weight of the guide and her equipment (250 pounds) together are less than 1,200 pounds
Step-by-step explanation:
Choose the system of equations that matches the following graph: Picture of coordinate plane with line y equals negative 3 over 7 x plus 1 and line y equals 5 over 7 x plus 9. They intersect at negative 7, 4.
Answer:D
Step-by-step explanation:
convert the following fraction to decimal
[tex] \frac{13}{20} [/tex]
Answer:
0.65
Step-by-step explanation:
13/20 * 5 = 65/100 = 0.65
Answer:
0.65
Step-by-step explanation:
hdhdhdhdjddhdhdhdhfh he he he hfhdhdhhdhdhsn
What is the value of K?
answers needed immediately please and thank you.
Answer: k = 10
because ∠MYZ is the outer angle of the triangle XYZ
=> ∠MYZ = ∠YZX + ∠YXZ
⇔ 115° = (4k + 5)° + (6k + 10)°
⇔ 115 = 10k + 15
⇔ 10k = 100
⇔ k = 10
Step-by-step explanation:
Write the slope-intercept form of the equation for the line.
y = 2x – 1
y = – 2x – 1
y = 1/2 x-1
y = 1/2 x+1
Answer:
y = 2x - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Find points on the graph.
Point (1, 1)
Point (-1, -3)
Step 2: Find slope m
Substitute: [tex]m=\frac{-3-1}{-1-1}[/tex]Subtract: [tex]m=\frac{-4}{-2}[/tex]Divide: [tex]m=2[/tex]Step 3: Find y-intercept b
Given: (0, -1) as y-intercept
Step 4: Write linear equation
y = 2x - 1
The equation y = 2x - 1 is the correct representation of the line in slope-intercept form.
The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.
Among the options provided, the equation y = 2x - 1 is already in the slope-intercept form. In this equation, the slope is 2, which means that for every unit increase in x, y increases by 2. The y-intercept is -1, indicating that the line intersects the y-axis at the point (0, -1).
The equations y = -2x - 1, y = 1/2x - 1, and y = 1/2x + 1 are not in slope-intercept form. In the equation y = -2x - 1, the slope is -2 and the y-intercept is -1. In the equation y = 1/2x - 1, the slope is 1/2 and the y-intercept is -1. Lastly, in the equation y = 1/2x + 1, the slope is 1/2 and the y-intercept is 1.
Therefore, the equation y = 2x - 1 is the correct representation of the line in slope-intercept form.
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MS Geometry Review:Question 10
240° is complementary to which of the following angles?
Select one:
2140
240
2600
250
Answer: 50
Step-by-step explanation: Complementary angles are 2 angles that add to 90 degrees. Since 90-40=50, then its 50 degrees
this one to thx for help
Answer:
b
Step-by-step explanation:
Solve for b.
r = (b-5)m
Answer:
b=5m+r/m
Step-by-step explanation:
Let's solve for b.
r=(b−5)(m)
Step 1: Flip the equation.
bm−5m=r
Step 2: Add 5m to both sides.
bm−5m+5m=r+5m
bm=5m+r
Step 3: Divide both sides by m.
bm/m=5m+r/m
b=5m+r/m
Answer:
b=5m+r/m
Answer:
See Explanation
Step-by-step explanation:
[tex]r = (b - 5)m \\ \\ \frac{r}{m} = b - 5 \\ \\ \frac{r}{m} + 5 = b \\ \\ \frac{r + 5m}{m} = b \\ \\ \huge \red{ \boxed{b = \frac{r + 5m}{m} }}[/tex]
PLZZZ ANSWER ASAP!! DUE SOON! ONLY ANSWER IF YOU ARE CORRECT, I CANNOT GET THIS WRONG!!!
Answer:
24
Step-by-step explanation:
180/7.5=24
you get 7.5 by 6.5+1
i = 1/2mr^2 solve for m
Answer:
m=2i/r^2Step-by-step explanation:
Given
i = 1/2mr^2Solving for m
i = 1/2mr^2 ⇒ Multiply both sides by 22i=mr^2 ⇒ Divide both sides by r^2m=2i/r^22x-8y=0 and -2x+4y=-8
Find the unit rate.
$4.80 for 6 cans
The unit rate is $ per can.
Answer:
The unit rate is $.80 per can.
Step-by-step explanation:
All you have to do is divide $4.80 by 6.
$4.80÷6=$.80
This means that each can cost 80 cents,
In other words the unit rate is $.80
Hope this helps!
Just do part a how do I solve it?
Answer: -6 is greater than the left side. So the answer will be less than -6
Step-by-step explanation: for example. The answer could be -7 or -8, (those arent calculated answers)