9514 1404 393
Answer:
[tex]\dfrac{20+5\sqrt{3}}{13}[/tex]
Step-by-step explanation:
Multiply numerator and denominator by the "conjugate" of the denominator.
[tex]\dfrac{5}{4-\sqrt{3}}=\dfrac{5(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}=\dfrac{20+5\sqrt{3}}{4^2-(\sqrt{3})^2}=\boxed{\dfrac{20+5\sqrt{3}}{13}}[/tex]
__
This is done in different scenarios in order to take advantage of the factoring of the difference of squares. Square root terms and imaginary terms in the denominator can be eliminated in this way.
a² - b² = (a -b)(a +b)
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Answer:
180-[tex]x^{2}[/tex]
Step-by-step explanation:
How can we write 1.25+1.25 +1.25 as a multiplication, using words, and as a single number? Make sure you answer all three parts of this question.
Answer:
1) 1.25*3
2) 1.25 multiplied by 3
3) 3.75
Step-by-step explanation:
Solve plzzz ASAP due today
Answer:
#3- x=2.73
#4- x=8
Step-by-step explanation:
Answer: X = 3 / X = 8
Step-by-step explanation:
3. (Angles add up to 180)
30x + 4 + 86 = 180
30x + 90 = 180
subtract 90 from both sides
30x = 90
Now divide by 30
x = 3
Check your work ( input 3 to the equation)
30(3) + 4 + 84
90+ 90 = 180 it works :)
4. (Angles are adjacent to each other so there equal)
10x - 3 = 77
add 3 to both sides
10x = 80
divide it by 10
x = 8
Check your work ( input 8 to the equation )
10(8) -3 = 77
80 - 3 = 77
77 = 77
please help me in this question
Step-by-step explanation:
c)16 km
bcoz
3⅑ X 5⅐
=16km
=========================================================
Work Shown:
Convert each mixed number to an improper fraction.
3 & 1/9 = 3 + 1/9
3 & 1/9 = 3*(9/9) + 1/9
3 & 1/9 = 27/9 + 1/9
3 & 1/9 = (27+1)/9
3 & 1/9 = 28/9
The car's average speed is 28/9 km per hour.
5 & 1/7 = 5 + 1/7
5 & 1/7 = 5*(7/7) + 1/7
5 & 1/7 = 35/7 + 1/7
5 & 1/7 = (35+1)/7
5 & 1/7 = 36/7
The time the car travels is 36/7 hours.
----------------------
We did the conversions so we can multiply the values easier.
Distance = Rate*Time
Distance = (28/9)*(36/7)
Distance = (28*36)/(9*7)
Distance = (4*7*9*4)/(9*7)
Distance = (4*4)/(1)
Distance = 16 kilometers
10. if ABC is equilaterteral, solve for x
Answer:
13
Step-by-step explanation:
If ABC is equilaterteral then all the angles must be equal and 60°
8x - 44 = 60 add 44 to both sides
8x = 104 divide both sides by 8
x = 13
HELP ME PLEASEEEEEEE
The graph of line g is shown below.
Which equation describes a line parallel to line g that has a y-intercept at (0, −1)?
Answer:
is the graph of y=-2x-1
The equation of line which is parallel to given line is , [tex]y=-\frac{1}{2}x-1[/tex]
Option H is correct.
Equation of line :Given line is passes through points [tex](-4,6)[/tex] and [tex](4,2)[/tex]
Slope of given line is,
[tex]Slope=\frac{2-6}{4+4}=-\frac{1}{2}[/tex]
Since, all parallel lines have the same slope.
So that, slope of line parallel to given line is also equal to [tex]-\frac{1}{2}[/tex]
Equation of required is,
[tex]y=-\frac{1}{2}x+c[/tex]
Since, line passes through point [tex](0,-1)[/tex]
So that, [tex]c=-1[/tex]
Equation of required line become, [tex]y=-\frac{1}{2}x-1[/tex]
Learn more about the equation of line here:
https://brainly.com/question/18831322
*
Evaluate the function.
w(x)=-3x - 4; Find w(7)
Answer:
w(7)= -25
Step-by-step explanation:
-3(7)-4
-21-4
w(7)= -25
Jenna took a math test and answered 15 out of 20 answers correctly. What percent of the questions did she answer correctly?
Answer:
75%
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
15 x 5 75
---- = -------
20 x 5 100
Cent means 100, so percent literally means per 100 like in century or centennial. So, I put it into a fraction over 100. Now it is 75 per 100. If you remember, per 100 is percent, it means the answer id 75 percent. You can also write it as 75%.
WORTH 40 POINTS
ANSWER ASAP
Explain if possible
Answer:
I think A
Step-by-step explanation:
What is the range of the following relation?
Answer:
[0,-infinity[
Step-by-step explanation:
you look on the starting point and the ending point of the y-axis (♾ is always opened [ )
solve for x.........
Answer:
61
Step-by-step explanation:
A triangle's total degrees is 180. You add the two angles they give you and then subtract the sum from 180. In number 9, the answer is 61. 47+72=119, 180-119= 61.
Can someone please help me with this pleaseeeee ?!?!?!?!?! Don’t say nothing if you don’t know the answer
What is the length of mm?
**8
A. 12
B. 16
C. 8
D. 4
Answer:
D.4
length of nm is 4.....
Answer:
heyo! the answer is A. 12
Step-by-step explanation:
i got it right on my test, have a great day :)
Maya is going to an amusement park. The price of admission into the park is $10, and once she is inside the park, she will have to pay $2 for every ride she rides on. How much money would Maya have to pay in total if she goes on 15 rides? How much would she have to pay if she goes on rr rides?
Answer:
the answer is 40 dollars
Step-by-step explanation:
all you have to do is multiply 15x2 and then add 10
Answer:
$40 dallors.
Step-by-step explanation:
First you would do, 2 times 15 and get 30.
Then do 30 plus 10 to get $40 dallors.
Which statement best explains the relationship between lines FG and HJ?
Answer:
D.
Step-by-step explanation:
From the figure, we have
The coordinates of the point F are: (-4,1).
The coordinates of the point G are: (0,-2)
The coordinates of the point J are: (0,4) and
The coordinates of the point H are: (-4,-2).
Now, the slope of the line FG is :
S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}S=
x
2
−x
1
y
2
−y
1
S=\frac{-2-1}{0+4}S=
0+4
−2−1
S=\frac{-3}{4}S=
4
−3
And, the slope of the line HJ is:
S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}S=
x
2
−x
1
y
2
−y
1
S=\frac{-2-4}{-4-0}S=
−4−0
−2−4
S=\frac{3}{2}S=
2
3
Now, the slope of FG=\frac{1}{slope of HJ}theslopeofFG=
slopeofHJ
1
\frac{-3}{4}=\frac{2}{3}
4
−3
=
3
2
which is not possible, thus They are not perpendicular because their slopes are not negative reciprocals.
A(3,-4) and B(-1,3).
how to find the distance and show work for it
Answer:
8.06
Step-by-step explanation:
d = √( [tex]x_{1}[/tex] - [tex]x_{2[/tex] ) + ( [tex]y_{1}[/tex] - [tex]y_{2}[/tex] )
d = √ ( 3 - (-1) )² + ( -4 - 3 )²
d = √(4)² + (-7)²
d = √16 + 49
d = √65
d = 8.06
NEED ANSWER ASAP
WILL MARK BRAINLIEST
What is the slope of the line given, f(0) = -5 and f(4) = 11?
Answer:
The slope is 4.
Step-by-step explanation:
We are given that f(0)=-5 and f(4)=11.
This means that we have the two points (0, -5) and (4, 11).
So, we can use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (0, -5) be (x₁, y₁) and let (4, 11) be (x₂, y₂). Substitute appropriately:
[tex]m=\frac{11-(-5)}{4-0}[/tex]
Evaluate:
[tex]m=\frac{16}{4}=4[/tex]
Hence, the slope of the line given f(0)=-5 and f(4)=11 is 4.
solve for the variable
7x = 49
-4x= -40
x/2 = 6
x/9 = -2
Answer:
71012-18Step-by-step explanation:
For 7x = 49 you need to divide 7 to both sides
For -4x=-40 you need to divide -4 to both sides
For x/2 = 6 you need to multiply 2/1 to both sides
For x/9 =- 2 you need to multiply 9/1 to both sides
Draw JKL on the coordinate plane given the above information.
translate FGH 3 units down and 2 units left followed by a rotation counterclockwise 90°.Then followed by a dilation by a scale factor of 2.
Step-by-step explanation:
Hope this helps, happy learning!!!
The diagram of translatation FGH 3 units down and 2 units left followed by a rotation counterclockwise 90° is attached below.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form.
Depending on the scale factor, the object's size can be raised or lowered.
The translate FGH 3 units down and 2 units left followed by a rotation counterclockwise 90°.Then followed by a dilation by a scale factor of 2.
F ( -1, 0)
G (1, 0)
H ( -1, 1)
Thus, counterclockwise 90°
F' ( 0, 1)
G' (0, -1)
H' ( -1, -1)
Scale factor = 2
Then
F'' ( 0, 2)
G'' (0, -2)
H'' ( -2, -2)
The diagram of translatation FGH 3 units down and 2 units left followed by a rotation counterclockwise 90° is attached below.
To learn more about dilation, refer to;
brainly.com/question/13176891.
#SPJ2
Graph the system of inequalities . Which two quadrants does the solution lie in?
someone help a brotha out
Answer:
Quads 1 and 2
Step-by-step explanation:
Option A or quadrants 1 and 2 is the correct answer:)
Complete Eduardo's definition of parallel lines: "If two coplanar lines are both perpendicular to a third line in the same plane, all of the angles formed between the two lines and the third line are "Explain your answer.
This is ,y las question can some one help
Answer:
yo no se mijo habla espanol
Emily purchased 5 packages of bottled water for $14.95. Each package of bottled water cost the same amount.
What is the cost per package of bottled water?
pls help ASAP will give brainlist
Answer:
Triangular Prism
Step-by-step explanation:
Congruent means the same or identical. The cross-section of the sphere is not the same as its base which is just a point. The cross-section of the cone is not circle like its base. The cross-section of the square pyramid is not a square. The cross-section of the last shape, the prism is a triangle like its base.
can someone help me lol
The length, breadth and height of a rectangle block are 10 cm , 15 cm and 25 cm. The LENGTH : BREADTH : HEIGHT ratio of the block is
a,2 : 3: 5
b,5 :2 : 3
c,3 : 2 : 5
d,1 : 3 : 5
[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]
We have to find the simplest ratio between length, breadth and the height.
Here,
Length = 10 cmBreadth = 15 cmHeight = 25 cmNote:
Always check the units first.Then find the HCF of the numbers to simplify them into the simplest ratio.So,
HCF of 10, 15 and 25 is 5. Cancelling with respect to 5.
Then, the ratio will be 2:3:5 (Option A)
⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]
Step-by-step explanation:
if you divide everything by five you will get ur answer
Subtract 6x10^-8 from the product of 8.5x10^-2 and 5x10^-5 and convert into scientific notation
Answer:
If you meant both of them together, it would be 499932.085
If you meant each of them, the 8.5 would be−67.915 and 5 would be 499932
Step-by-step explanation:
Consider these numbers, ordered from least to greatest. Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half, 90 percent A number line going from negative 2 to positive 1. Which values could correctly fill in the blank? Select all that apply.
Answer:
10%
-0.1
1/4
Step-by-step explanation:
Complete question
Consider these numbers, ordered from least to greatest. Negative 1.8, negative 1 and one-fourth, negative 0.2, blank, one-half, 90 percent A number line going from negative 2 to positive 1. Which values could correctly fill in the blank? Select all that apply. 10% 1 -0.1 -1 One-fourth
step-by-step explanation
On the number line, numbers increase from left to right.
The blank is between -0.2 and 1/2.
Only numbers greater than -0.2 and less than 1/2 can fill the blank.
Range = -0.2<x<1/2
From the values given,
1) 10% = 10/100 = 1/10 = 0.1
-0.2<0.1<1/2
2) -0.2<1
But, 1>1/2
3) -0.2<-0.1<1/2
4) -0.2>-1
5) -0.2<1/4<1/2
Therefore, only 10%, -0.1, and 1/4 can fill in the blank correctly because they satisfy the range -0.2<x<1/2
Answer:
A
C
E
THE ANSWER BOIIIIIIIIIIIIIIIIIIIIIII!
Step-by-step explanation:
Mofor spent half of his weekly allowance on
clothes. To earn more money his parents let
him clean the oven for $8. What is his
weekly allowance if he ended with $15?
Please explain how you got the answer.
PLZZ HELP ITS FROR A TEST THAT I EED TO PASS !!!!!
Frankenstein is definitely a classic and he can still manage to get a few scares, but the also classic Werewolf has seen better days. The Werewolf is often the target of scares and has an equation perpendicular to Frankenstein's. Frankenstein's equation is`y=x+5` and the Werewolf's equation passes through the point `\left(-1,-2\right).` What is the Werewolf's equation?
Answer:
3)-rightx (877