Left parenthesis 5 plus 2 square root of 6 right parenthesis squared = a plus b square root of 6 then the value of a and b are
Answer:
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.
Step-by-step explanation:
The statement is equivalent to the following mathematic expression:
[tex]\left(5 + 2\sqrt{2})^{2} = a + b\cdot \sqrt{6}[/tex] (1)
By definition of the perfect square trinomial:
[tex]25 + 20\cdot \sqrt{2} + 8 = a + b\cdot \sqrt{6}[/tex]
[tex]33 + 20\sqrt{2} = a + b\cdot \sqrt{6}[/tex]
And by direct comparison we have the following system:
[tex]a = 33[/tex] (2)
[tex]b\cdot \sqrt{6} = 20\sqrt{2}[/tex] (3)
By (3), we solve for [tex]b[/tex]:
[tex]b = \frac{20}{\sqrt{3}}[/tex]
[tex]b = \frac{20\sqrt{3}}{3}[/tex]
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]33[/tex] and [tex]\frac{20\sqrt{3}}{3}[/tex], respectively.
Can someone help please (‘:
Answer:
exponent is -3, ceofficiant is 4
(d)
How many four digit numbers cannot be divided by 5?
Answer:
2556
Step-by-step explanation:
The equation which represents x, the width of the border is 2(8-2x) + 2(4- 2x) – 18. What is the width of the border?
oft
ft
1 ft
3 ft
Answer:
mumu and a pink one is a little it is a little bit of time with my family and then we are just getting back to talk with you and I will be in attendance and how to write an email to all you need the money to pay for the understanding that I have
Write [4^ squareroot 81] 5^
Answer:
(⁴√81)⁵
= [tex]81^{\frac{5}{4} }[/tex]
[tex]81^{\frac{5}{4} }[/tex]
= 243
Step-by-step explanation:
(⁴√81)⁵
(3)⁵
= 243
Answer:
the answer is B 81^4/5 I HOPED THIS HELPED
Simplify. pls pls pls helppp im really bad at math lol
a) 6 √3+ 4
b) 6 √6+ 3
c) 4 √3 + 6
PLEASE HELP ASAP PLZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
45%
Step-by-step explanation:
There are 450 people with over 3 people in their family. There are 1000 total people. 450/1000 is 45%
A(n) _______ is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
Answer: Algebraic Expression *-* :)))))) Hope your day is well!!!
"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can be used to indicate the logical syntax's order of operations and other features.
"Algebraic Expression" is part of a mathematical expression consisting of a constant, or a variable, or the product of a number and a variable, separated from other terms by an operator or a relation symbol.
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Eli is following this recipe to bake bread rolls.
He uses 600 mL of water.
How much of the other ingredients does he use?
Recipe: Makes 10 bread rolls
600 g flour
9 g salt
12 g yeast
30 mL oil
500 mL water
Answer:
flour 720 g
salt 10.8 g
yeast 14.4 g
oil 36 ml
water 600 ml
Step-by-step explanation:
600 ml - 500 ml = 100 ml = 20% more
Set up ratios to determine 20% of each ingredient and add to the original amount.
Example:
20%/100% = x ml/30 ml
20x30÷100=6
So, for oil, you need 30 ml + 6 ml = 36 ml
6 ml = 20% more
Mandy gets 6 out of every 8 questions on a test correct. If she gets 27 questions correct, how many questions are on the test?
Answer:
36
Step-by-step explanation:
She gets 6 question right for every 8 question that means a ratio of 6/8 which is equal to 3/4
so we can say the ratio multiplied by the number of questions equals the correct answers
while x is the number of questions:
solve for x
3/4 * x = 27
x = 27 / (2/3) = 36
Is this right PLEASE HELP ILL GIVE BRAINLY
Exquisite.
All are Correct
My doubts do come from your last answer.
I think the complement should be 60° too
which expression is equivalent to 2x^(2)+11x+5
Answer:
(x + 5)(2x + 1)
Step-by-step explanation:
Given
2x² + 11x + 5
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 5 = + 10 and sum = + 11
The factors are + 10 and + 1
Use these factors to split the x- term
2x² + 10x + x + 5 ( factor the first/second and third/fourth terms )
= 2x(x + 5) + 1 (x + 5) ← factor out (x + 5 from each term
= (x + 5)(2x + 1) ← in factored form
Estimate 28 x 31 x 3
Answer:
2604
Step-by-step explanation:
Answer:
2600 as a estimate but it is 2604
Step-by-step explanation:
if two polygons are similar, what is the length of SR
A. 13
B. 15
C. 28
D. 32
Zeyad has a bag of 40 marbles. 10 of them are red. 12 are blue. 18 are white. He reaches into the bag without looking. What is the probability that Zeyad will select a white marble?
Answer:
9/20
Step-by-step explanation:
There are 40 marbles
18 are white
P( white marble) = number of white marbles / total number of marbles
= 18/40 = 9/20
According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work? Round the answer to the nearest thousandth. P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction
1) 0.001
2) 0.002
3) 0.128
4) 0.899
Answer:
.899
Step-by-step explanation:
Please someone help i'm struggling with this work!
Answer:
5es7tc6fz8s5exf UFO zd5d 3azyfxf6f,a3
Step-by-step explanation:
It is abe
On a coordinate plane, a line goes through points (0, 1) and (3, 0). Y = one-half x minus 1.
Identify the slope of the graphed line:
Identify the y-intercept of the graphed line:
Identify the slope of the line given by the equation:
Identify the y-intercept of the line given by the equation:
Answer:
Step-by-step explanation:
1. -1/2
2. -1
3. -1/2
4. -1
Answer:
Identify the slope of the graphed line: -1/3
Identify the y-intercept of the graphed line: 1
Identify the slope of the line given by the equation: 1/2
Identify the y-intercept of the line given by the equation: -1
Step-by-step explanation:
the other person is wrong i got a 100 on my assignment its correct on edge 2021 hope this helps!!
The point-slope form of the equation of a line that passes through points (8. 4) and (0, 2) is y-4 = (x-8). What
is the slope-intercept form of the equation for this line?
O y= 2 x - 12
O y=-x-4
o y=+*+2
O y=x+6
Answer:
answer y=x-4
Step-by-step explanation:
slope intercept from is y=mx+b
m=slope b=y intercept
convert current equation to slope intercept
y-4=x-8
add 4 to both sides
y=-x-4
Please help fast for question A and B I’d appreciate it
Step-by-step explanation:
a) Since the precision of the ruler is 1 mm, the uncertainty associated with this ruler is +-0.5mm. So the tire tread has a depth of 7.0 mm +- 0.5mm. The amount of tire thread that has worn off is
11.2 mm - (7.0 mm +- 0.5 mm) = 4.2 +- 0.5 mm
b) The tire thread can anywhere between 3.1 mm and 3.5 mm. Since the lower limit has gone below the legal limit of 3.2 mm, it's time to change the tire.
what are the factors of x^3-2x^2+x+2
6,347.2184 to the nearest thousandth
Answer: 6347.218
Step-by-step explanation:
Answer:6,347.218
Step-by-step explanation:
look at the thousandths place and then look at the number next to it if the number was 5 and above the answer would be 6,347.219 but in this situation it's not so you would keep everything the same but subtract the 0.0004
Some angles are shown. Complete each of the 2 activities for this Task. Activity 1 of 2 The measure of angle NOP is 140°. Which of these equations could be used to find the measure of angle NOQ? A. 23+x=140 B. x−23=140 C. 23×x=140 D. 140÷23=x Activity 2 of 2 What is the measure, in degrees, of angle NOQ?
Answer:
A. 23+x=140
Step-by-step explanation:
The angle addition postulate states that the measure of a larger angle formed by two or more smaller angles placed side by side is the the sum of the smaller angles. The angle addition postulate states that if B is in the interior of AOC , then:
m∠AOB + m∠BOC = m∠AOC.
From the image:
∠NOP = ∠NOQ + ∠QOP
∠NOP = 140, ∠NOQ = x, ∠QOP = 23
substituting:
140 = x + 23
x = 140 - 23 = 117
∠NOQ = 117°
PLEASE ANSWER QUICKLY! WILL MARK YOU BRAINLIEST IF CORRECT!!! Find x. Round your answer to the nearest integer,
O A. 20
ОО
B. 19
O C. 15
O D. 12
Answer:
x = 15
Step-by-step explanation:
sin = opp/hyp
sin37 = x / 25
Multiply both sides by 25
25 * sin37 = x
Use calculator
15.045375578801207 = x
Rounded
x = 15
D
Step-by-step explanation:
the answer is 12
if we add 25+12 =37
if we subtract 37-25 =12
for each type of division problem, decide if the quotient is positive or negative
complete the statement
Answer:
positive divided by positive = positive
negative divided by positive = negative
positive divided by negative = negative
negative divided by negative = positive
Step-by-step explanation:
Examples;
8 ÷ 2 = 4
-8 ÷ 2 = -4
8 ÷ -2 = -4
-8 ÷ -2 = 4
You can try these on a calculator
1. positive
2. negative
3. negative
4. positive
What is quotient?The number resulting from the division of one number by another.
The given quotient can be positive or negative can be decide by the facts given below:
1) positive divided by positive = positive
2) negative divided by positive = negative
3) positive divided by negative = negative
4) negative divided by negative = positive
Examples;
16÷ 4 = 4-6 ÷ 2 = -310 ÷ -2 = -5-10 ÷ -5 = 2Learn more about quotient here:
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What is the length of b?
Find x to the nearest tenth.
Answer:
x = 11.3
Step-by-step explanation:
This is a right isosceles triangle
x² + x² = 16²
2x² = 256
x² = 128
x = 11.3
In a triangular prism area of rectangular surface is twice the area of traingular surface if tsa 3000. Find the area of triangular surface
Answer:
375
Step-by-step explanation:
Applying,
Total surface area of the triangular prism = 3×Area of the rectangular surface + 2×area of the triangular surface
Assuming the triangular base is an equilateral triangle
A = 3A'+2B.................... Equation 1
Where A = Total surface area of the prism, A' = Area of the rectangular surface, B = Area of the triangular base.
From the question,
IF A' = 2B,
Given: A = 3000
Substitute these values into equation 1
3000 = 3(2B)+2B
3000 = 6B+2B
3000 = 8B
8B = 3000
B = 3000/8
B = 375
Find the median of the data.
Length (cm) of fish in tank:
7, 2, 1, 4, 5, 2, 3
Median: [?] cr
Answer:
Step-by-step explanation:
1,2,2,3,4,5,7
Median is 3
The median of 7, 2, 1, 4, 5, 2, and 3 stand 3 because when the numbers stand to put in order (1,2,2,3,4,5,7), the number 2 stands in the middle.
What is median?
The median stands for the middle value in a list ranked from smallest to largest. The mode stands for the most frequently occurring value on the list. The middle number; exists found by collecting all data points and choosing out the one in the middle (or if there exist two middle numbers, taking the mean of those two numbers).
Illustration: The median of 4, 1, and 7 stand 4 because when the numbers stand to put in order (1, 4, 7), the number 4 stands in the middle.
The given data: 7, 2, 1, 4, 5, 2, 3
The median of 7, 2, 1, 4, 5, 2, and 3 stand 3 because when the numbers stand to put in order (1,2,2,3,4,5,7), the number 2 stands in the middle.
Therefore, the Median is 3.
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[algebra 2, word problems and expressions] hai! please help!
Answer:
The first one, f+2g+3t! :)
Step-by-step explanation:
F is worth 1 point so you don't need to add a number, g is worth 2 points, and t is worth 3 points.