Answers
Answer:
1= 0.109
2= 3.46
3 = -(minus)1.24
Step-by-step explanation:
Answer:
See answers below.
Step-by-step explanation:
All of these use the same idea: multiply numerator and denominator by the conjugate radical (an identical expression but with the sign between terms changed).
[tex]\frac{1}{13-\sqrt{15}}\cdot\frac{13+\sqrt{15}}{13+\sqrt{15}}=\frac{13+\sqrt{15}}{169-15}}\\\\=\frac{13+\sqrt{15}}{154}[/tex]
[tex]\frac{1}{\sqrt{13}-\sqrt{11}} \cdot \frac{\sqrt{13}+\sqrt{11}}{\sqrt{13}+\sqrt{11}}=\frac{\sqrt{13}+\sqrt{11}}{13-11}\\\\=\frac{\sqrt{13}+\sqrt{11}}{2}[/tex]
[tex]\frac{1}{\sqrt{21}+\sqrt{29}}\cdot\frac{\sqrt{21}+\sqrt{29}}{\sqrt{21}+\sqrt{29}}=\frac{\sqrt{21}+\sqrt{29}}{21-29}\\\\=\frac{\sqrt{21}+\sqrt{29}}{-8}[/tex]
Note: Here's an example of what happens when you multiply conjugate radicals.
[tex](\sqrt{13}-\sqrt{11}})(\sqrt{13}+\sqrt{11})=13-\sqrt{11}\sqrt{13}+\sqrt{13}\sqrt{11}-11=13-11[/tex]
When you FOIL those binomials, the square roots go away!
Related Questions
Help
Please edge 21 I really need help I don’t want to go to summer school
Answers
Answer:
C. No solutions exist Because the situation describes two lines that have the same slope and different y-intercepts
Step-by-step explanation:
it is important to keep the x-and y-coordinates in the same order in both the numerator and the denominator otherwise you will get the wrong slope so there is no solution.
PLS HELP ME WITH THIS QUESTION!!
Answers
Answer:
a
Step-by-step explanation:
Right triangle XYZ is drawn with a 23° angle. For right triangles with an angle of 23° the ratio of the leg adjacent the 23° angle compared to the hypotenuse is 0.92 If the leg adjacent to the 23° angle has a length of 46 units, what is the length of the hypotenuse?
Answers
Answer:
50
Step-by-step explanation:
In a right angled triangle :
Ratio of the leg Adjacent an angle to the hypotenus can be obtained using the Cosine trigonometric ratio
For an angle of 23° and and adjacent leg of 46
Cos 23 = adjacent / hypotenus
Adjacent / hypotenus = 0.92
46 / hypotenus = 0.92
Hypotenus = 46 / 0.92
Hypotenus = 50
4
Select the correct answer.
Which of the equations below represents a line parallel to the yaxis?
A. X= -y
B. X= 4y
C.x=y
D.X= 4
HELP
Answers
Answer:
x=4
Step-by-step explanation:
The y axis is a line where the value of x does not change ( x=0)
It is a vertical line
The only line where the value of x does not change is x=4
It is a vertical line at x=4
If you toss a coin eight times and get a head each time, which of the following is true?
A. The probability of getting a head on the next toss is more than %.
B. The probability of getting a tail on the next toss is more than 1.
C. The probability of getting a tail on the next toss is %.
D. The probability of getting a head on the next toss is greater than the probability of getting a
tail
Answers
The area of the
rhombus is 52 m2
What is the base of
the rhombus?
Answers
i have explained through pictures
juan bicycles due north at 20mph eric starting at the same point at the same time bicycles due east at 15mph how.
far apart are they after 2 hours?
A. 10 miles
B. 35 miles
C. 50 miles
D. 70 miles
Answers
Which two products can add to find 9 times 4?
Answers
Answer:
2x18=36
im not sure if that's what you meant but i can answer again if you want
Step-by-step explanation:
Answer:
sin ( 330 )
csc ( 60 )
cos ( 390 )
Step-by-step explanation:
Which expression is equivalent to (9 + 3i) - (-4 + i)?
A. 5 + 2i
B. 5 + 4i
C. 13 + 2i
D. 13 + 4i
Answers
Answer:
c.
Step-by-step explanation:
from the expression (9 + 3i) - (-4 + i);
STEP 1: multiply (-4 + i) by the minus sign before it.
we have +4 - i as the result.
we are left now with:
9+3i+4-i.
STEP 2: grouping those with same values,
9+4+3i-i= 13+2i
i need help asap!! i would really appreciate this
A 30°-60°-90° triangle has a shorter leg with a length of 14 cm. The hypotenuse of the triangle is ___ cm.
Answers
Answer:
23
Step-by-step explanation:
Is 2.164213562 Rational or Irrational
Answers
PLEASE HELP!
What is the equation of the directrix
for the following parabola:
(x - 1)^2 = 12(y + 2)
A. Y = -5
B. X = -5
C. y = -3
D. y = -12
Answers
Answer:
y=-5
Step-by-step explanation:
Arnetta’s monthly gross pay is $4,200 federal withholding is 16.05%
Answers
Answer: $3204.06
Step-by-step explanation:
Here's the complete question:
Arnetta's monthly gross pay is $4,200. Federal withholding is 16.05% of her pay. Her other deductions total $321.30. Find her net pay.
First, we calculate the Federal witholding which will be:
= 16.05% × $4200
= 0.1605 × $4200
= $674.10
The total deduction will now be:
= $674.10 + $321.30
= $995.40
The net pay will now be:
= Gross pay - Total deductions
= $4,200 - $995.40
= $3204.06
Therefore, Arnetta’s net pay is $3204.06
Correct I’ll give brainlist no links or I’ll report
Answers
The total surface of the cube measures 54ft. How long is its edge?
Answers
Answer:
It should be 9ft
Step-by-step explanation:
I hope this helps
Can someone explain to me what 8√42 ÷ 2√7 is?
Answers
Answer:
Step-by-step explanation:
8√42 ÷ 2√7 is 8√42/2√7 in a fraction form
you want to take the square root out of the denominator, and so you would multiply the denominator by the numerator and itself.
8√42/2√7 * 2√7/2√7 = 4√6
Name 4 fractions that are between 1/5 and 1/7
Answers
Answer:
21/240, 22/140, 23/140, 24/140
Step-by-step explanation:
7 and 5 have a common multiple of 140 and
140/7=20 20/140
140/5=28 28/140
21-27 are all numbers b/w 20 and 28
Answer:
21/140, 22/140, 23/140, 24/140
7 and 5 = common multiple of 140.
140/7 = 20 , 20/140
140/5 = 28, 28/140
21, 22, 23, 24, 25, 26, and 27 are the numbers between 20 and 28.
What is the solution?
-4(3) - 3 = ?
Answers
I hope it helps you :)
yeah please help me I’ll give brainliest if correct
Answers
Answer:
p=20
6p=120
Step-by-step explanation:
Answer:
A: 6p = 120
Solution:
6 / p = 120 / 6
p = 20
dont forget to five-star and heart! ;)
HElP PLS I WILL DO ANYTHING BUT HELP
Answers
Answer:
1/32
Step-by-step explanation:
There is a 1/8 chance of spinning green on the first spinner and a 1/4 cnace of spinning blue on the second spinner. To find the probability of both spinners landing on the desired color, multiply their probabilities.
1/8 * 1/4 = 1/32 chance of landing on green and then blue.
You have an allowance to spend on lunch this
week. You will spend the same amount each
day, and you get to keep whatever is left at
the end of the week. After two days, you
have $12.10 remaining. After five days, you
have $2.50 remaining. what is the initial value, rate of change, and table of values
Answers
Answer:
look at the screenshot
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZ
To find the quotient of 726.02 and 1,000, move the decimal point in 762.02___Places to the ____
Choices for blank 1.
A. 2
B. 3
C. 4
D. 5
Choices for blank 2.
A. Left
B. Right
NO LINKS!!
Answers
from blank one five
from blank two is right
Solve the given polynomial by factoring. Check all answers that are correct.
f(y) = 3y^3 + y^2 + 9y + 3
A) y = 1/3
B) y = i√3
C) y = 3
D) y = -3
E) y = -1/3
F) y = ±i√3
Answers
A container shaped like a rectangular prism is filled with sugar.It measures 14 inches by 6 inches by 3.5 inches.How much sugar does the container hold?
Answers
Answer:
294 in^3
Step-by-step explanation:
Sugar it can hold can be determined by calculating the volume of the prism
volume of a prism = length x width x height
14 x 6 x 3.5 = 294 in^3
3 packets of fries cost £4.20
How much does 5 packets of fries cost?
Select one
a. £6.40
b. £6.00
C. £7.00
Answers
Answer:
C
Step-by-step explanation:
First, divide £4.20 by 3 to get the price for 1 packet.
4.20/3 = 1.4
5 packets is 5 times that, so multiply 1.4 times 5. You get 7. So 5 packets costs £7.00
please answer this question, just the multiple choice answer is fine to put
please make sure its right if you can
Answers
Answer:
B: 25
Give me Brainliest lol-
Answer:
25
Step-by-step explanation:
d1 x d2 divide by 2
10 x 5 = 50/2 =25
Kaylee obtains a loan with simple interest to buy a car that costs $8,500. If Kaylee pays $1,020 in interest during the four-year term of the loan, what was the rate of simple interest?
Answers
Answer:
The rate is 3 percentage
Can someone help me with this?
Answers
Answer:
Option 4
Step-by-step explanation:
The circle is filled so it must be either :less then or equal to: or :greater then or equal to: and since it is going to the left that means it is on the less then or equal to.
Answer:
option 4
Step-by-step explanation:
the circle is filled so it can be equal
it shows n is everything lower then -1 so
n<=-1
Which quadratic equation has roots of 5 and 7
Answers
Answer:
D
Step-by-step explanation:
Given the root of a quadratic equation x = a then the factor is (x - a)
Here the roots are x = 5 and x = 7 , then the corresponding factors are
(x - 5) , (x - 7)
The equation is then the product of the factors, that is
y = (x - 5)(x - 7) ← expand using FOIL
= x² - 7x - 5x + 35 ← collect like terms
y = x² - 12x + 35 → D
The quadratic equation has roots of 5 and 7 so, the quadratic equation would be equal to [tex]y = x^{2} - 12x + 35[/tex].
How to find the roots of a quadratic equation?Suppose that the given quadratic equation is
ax^2 + bx + c = 0
Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
It is Given the root of a quadratic equation x = a then the factor is (x - a)
Here the roots are x = 5 and x = 7 , then the other factors are
(x - 5) , (x - 7)
The equation is then the product of the factors,
[tex]y = (x - 5)(x - 7)\\y = x^{2} - 7x - 5x + 35 \\y = x^{2} - 12x + 35[/tex]
Learn more about finding the solutions of a quadratic equation here:
https://brainly.com/question/3358603
#SPJ2
6th grade math plsssssss whoever does this I will give any vbuck card, or Microsoft. PLSSS HELP!
Answers
11/2=5 with a remainder of 1
you can get a total of 5 toppings
Answer:
5 toppings
Step-by-step explanation:
$20 - $9 = $11 dollars left for toppings
$11 ÷ 2 = 5.5
So, you can get 5 toppings with 50 cents left.
Have a great day!