Hope you could get an idea from here.
Doubt clarification - use comment section.
Statement 1: If √12 - √8 = a, then √12 + √8 is equal to 4/a.
Statement 2: a + √b is called the rationalizing factor of c + √d if their product is 1.
• Statement 1 is true; Statement 2 is true; Statement 2 is the correct explanation of Statement 1.
• Statement 1 is true; Statement 2 is true; 2 is not the correct explanation of Statement 1.
• Statement 1 is true; Statement 2 is false.
• Statement 1 is false; Statement 2 is true.
It is an assertion-reasoning question. Please help me to solve this. Need step-by-step explanation as well. Thank you.
Answer:
Statement 1 is true; Statement 2 is false.
Step-by-step explanation:
Statement 1:
√12 - √8 = a
Let's use the given value of √12 + √8 ,that is, 4/ a.
If we multiply both the expressions such that their Left Hand Sides get multiplies together and Right Hand Sides together:
=> (√12- √8)(√12 + √8) = a × 4/a
On the LHS,
identity used:
(a-b)(a+b) = a²-b²
On the RHS:
a gets canceled due to its presence in both the numerator as well as the denominator.
=> 12 - 8 = 4
=> 4 = 4
That's it!
We got LHS = RHS, that approves the existence of the given statement.
___________________
Statement 2:
"a + √b is called the rationalizing factor of c + √d if their product is 1"
That's not entirely right!
The correct statement would be:
" a + √b is called the rationalizing factor of c + √d if their product is a rational number ."
Since, rationalizing has got nothing to do with 1, (1 is just another rational number), even if we get 2 by their multiplication, it will be called rationalizing as long as we're getting a rational number.
___________________
Answer:
Hence, I'd say:
Statement 1 is correct but Statement 2 isn't.
That's the third option.
A cat gave birth to 3 kittens who each had a different mass between 147 and 159 g. Then the cat gave birth to a 4th kitten with the mass of 57 g. How will the birth of the 4th kitten affect the mean and median?
Ursula makes $5 for every 1 dog she walks. In the relationship between dollars earned and dogs walked, ________ is the dependent variable, which is often called ________.
Answer:
the answer is 6
Step-by-step explanation:
Out of the people who called in during a ratio station poll, 9 out of 25 chose pop as their favorite type of music. 1 out of 5 callers chose rock, 6 out of 75 chose classical, and 18 our of 50 callers chose R&B. Which pair of ratios are equivalent?
Brainliest to a person who gets it right. Need Answer ASAP please!!
AYO math
3.14159 x the fraction 3 and 2 divided by 96
Answer:
hey
Step-by-step explanation:
how r u?
wyd?
u from?
u r girl or boy??
Answer:
7.
Step-by-step explanation:
Evaluate –10 • x • 5 when x = –1.
–50
–15
6
50
At a delicatessen there were 20 different kinds of cheese and 30 kinds of meats. What is the ratio of cheese to meats at this delicatessen?
Answer:
2:3
Step-by-step explanation:
Simply divide each by 10
20/10=2
30/10=3
and your ratio is 2:3
jack makes 55$ for 6 hours of work. How much does he make per hour
Answer:
$9.16
Step-by-step explanation:
55/6=9.16
Solve the inequality and graph its solution
Answer:
Step-by-step explanation:
6.
-4(3+n)>-12
-12-4n>-12
-4n>0
n<0
open circle at 0 and left of 0 on the number line.
8.
-3(r-4)≥0
divide by -3
r-4≤0
r≤4
solid line starting from 4 and extends left .
5.
-b-2>8
-b>10
b<-10
open circle at -10
and extends left.
7.
[tex]4+\frac{n}{3} <6\\multiply~by~3\\12+n<18\\n<18-12\\n<6[/tex]
open circle at 6 and extends left .
Answer:
Hey There~5) b<-10
From -10 to left
6) n<5
From 4 to 1
7) n<6
From 5 to -2
8) r<=4
From 4 to -4
Answer attached__Step-by-step explanation:
Hope it helps you ツWhat is the quotient (91y3 + 21y2 − 35y) ÷ 7y?
answer:13yexponent2+3y−5
30 points.
the midpoint of AB is (4,8) and the coordinates of point A are (-6,4) what are the coordinates of point B?
Answer:
B = (14, 12)
Step-by-step explanation:
As you know, the midpoint is the average of the end point coordinates:
M = (A +B)/2
Solving for B gives ...
2M = A + B
B = 2M -A
B = 2(4, 8) -(-6, 4) = (8+6, 16 -4)
B = (14, 12)
Simplify (5^3)^6 leaving your answer in index form.
Answer:
5^18.
Step-by-step explanation:
By the law of indices:
(a^b)^c = a^(bc)
So (5^3)^6
= 5^(3*6)
= 5^18.
can someone plz help with math?!
Answer:
1. L = 3D +59
2. 158 miles
Step-by-step explanation:
For the second part:
Since each day 3 miles of the road is being added, we can simply multiply the number 33 by 3, getting 99. If the road started with 59 miles, we need to add 59 to 99, getting 158 miles.
Algebra 2
What is the sum If x≠0?
Answer:
14x^4sqrt10
Step-by-step explanation:
Out of the two possible answers showing in the picture it seemed as is it was the only valid answer
plsssssssss help
joey decided to start a lawn care business. He charges customers $25 per hour, plus a $75 service fee for each visit, which can be represented by the function f(x)=25x+75. In the equation, what is represented by the "x" variable?
Question 15 options:
the total cost for the lawn care visit
the number of hours Joey worked
the amount Joey charges per hour
the fixed fee for the service call
Answer:
X = The number of hours Joey worked (C)
Step-by-step explanation:
$25 is the fee per hour worked. x is the amount of hours worked. added onto this total is another flat $75 fee for the whole visit, making the equation $25 multiplied by the number of hours worked, plus 75.
What is the length of side a?
Thank u
if you discovered a leaking faucet in your home , do you think it would be important to get it fixed why or why not ??
Answer:
b
Step-by-step explanation:
It is important to get a leaking faucet fixed as soon as possible to save water, money, and prevent potential problems in the future.
It is important to get a leaking faucet fixed because of the following reasons;
1. Water waste: A leaking faucet wastes a significant amount of water over time, which can contribute to higher utility bills and water shortages in drought-prone areas.
2. Cost-saving: Fixing a leaking faucet can save you money in the long run by reducing your water bill.
3. Preventing bigger issues: Ignoring a leaking faucet can lead to more serious plumbing problems down the line, which can be more expensive to fix.
4. Environmental impact: Wasting water unnecessarily has a negative impact on the environment and can contribute to water scarcity.
Overall, it is important to address a leaking faucet promptly to save water, money, and prevent potential problems in the future.
Learn more about Water waste here;
https://brainly.com/question/29975969
#SPJ2
the perimeter of a rectangle is 1000m. if the length is given as x , find the width in terms of x
[tex]\text{Given that,}\\\\\text{Perimeter = 1000 m}\\\\\implies 2(\text{Length} + \text{Width}) = 1000~ \text m\\\\\implies (x+ \text{Width}) = \dfrac{1000}2 =500~ \text m\\\\\implies \text{Width} =(500 -x) ~\text{m}[/tex]
After heating up in a teapot, a cup of hot water is poured at a temperature of 203°F.
The cup sits to cool in a room at a temperature of 72°F. Newton's Law of Cooling
explains that the temperature of the cup of water will decrease proportionally to the
difference between the temperature of the water and the temperature of the room, as
given by the formula below:
T = Ta +(T. -T.)e-kt
To = the temperature surrounding the object
To = the initial temperature of the object
t = the time in minutes
T = the temperature of the object after t minutes
k=decay constant
The
cup of water reaches the temperature of 183°F after 2.5 minutes. Using this
information, find the value of k, to the nearest thousandth. Use the resulting
equation to determine the Fahrenheit temperature of the cup of water, to the
nearest degree, after 5 minutes.
Answer:
asd
Step-by-step explanation:
Question in the picture
A group of ten friends played a number guessing game. They were asked to pick a number between 1 and 20. The person closest to the target
number wins. The ten people made these guesses:
Guess
2
15
10
8
12
19
20
Ол
7
9
9
Absolute Guessing Error
a. The actual number was 14. Which table correctly shows the absolute guessing errors? Select Choice
Answer:
Step-by-step explanation:
69
i'm so confused pls somebody help me
Answer:
(6x-8)+(3x)+x=180 - the equation that would be used to find x
Step-by-step explanation:
(6x-8)+(3x)+x=180
I´m not sure what the answer of the equation is but this is the equation. im sorry :(
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
3x + x + 6x - 8 = 180 , that is
10x - 8 = 180 ( add 8 to both sides )
10x = 188 ( divide both sides by 10 )
x = 18.8
3x = 3 × 18.8 = 56.4
6x - 8 = 6(18.8) - 8 = 112.8 - 8 = 104.8
Then the 3 angle measures are
18.8° , 56.4° , 104.8°
what is the vaule of y when x=28
Answer:
62
Because u do 180-90-28=62
cellus
Suppose that y varies directly with x
and y = 3 when x = 9. What is y
when x = 18?
y = [ ?
]
I really suck at these problems.
Answer:
y = 6 when x = 18
Step-by-step explanation:
The appropriate formula for this direct proportion is y = kx, where k is the constant of proportionality.
We know y = 3 when x = 9: 3 = k(9)
This yields k = 3/9, or k = 1/3
Then the formula is y = (1/3)x
and when x = 18, y = (1/3)(18) = 6
y = 6 when x = 18
Snefuru’s north pyramid at Dahshur, Egypt, is shown. It’s square base has a side length of 220 m. The height of the pyramid is 105 m. Determine it’s surface area.
The answer is 115,324 m^2, show how you got your answer please. :))
Answer: 115,324 m^2
Step-by-step explanation:
To find the surface area, we need height of the triangle face of the pyramid. We are given the height of the pyramid itself (105 m). To find the height of the triangle face, we have to use the Pythagorean theorem (a^2 + b^2 = c^2).
In the diagram attached, the height of the triangle face is the hypotenuse of the blue triangle: 110^2 + 105^2 = c^2 where c = about 152 m (ROUNDED)
Now that we have the height of the triangle face, we can use the triangle area formula: 1/2(base)(height) to find the area of one of the triangle faces.
1/2 (220)(152) = 16,720 m^2
Since there are four triangle faces, we need to multiply this number by four.
16,720(4) = 66880 m^2.
Now we just have to add this to the area of the square base which is:
(220)(220) = 48400 m^2
66880 + 48400 = 115,200 m^2 (which is very close to the answer provided - if 152 wasn't rounded, 115,324 would be your answer)
Need help ASAP! Directions in picture;)
Answer:
x+43⁰+52⁰=180⁰ [being triangle]
x⁰+95⁰=180⁰
x⁰=180⁰-95⁰
x⁰=85⁰
You are baking a casserole. The recipe calls for of a cup of beans to make 5 servings. How many cups of beans would you need to make 25 servings? Enter your answer.
Answer:
5 cups
Step-by-step explanation:
Can someone please help me I will mark brainliest please.
Answer:
GE = 8 inches
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
GE = 2 × GH = 2 × 4 = 8 inches
Which of the x-values are solutions to the following inequality?
X < 365
The follow through is where you "pause" and hold the bow still for a few seconds after releasing the arrow.
True or false
True-... i think because like i am not sure-