Answers
Answer:
x = 5
Step-by-step explanation:
Step-by-step explanation:
Given,
[tex] \sqrt{x + 11} - x = - 1[/tex]
To Find:
Value of xSolution:
Square both sides, then solve.
[tex] \rm \implies \: \: \sqrt{(x + 11} ) {}^{2} = ( - 1 + x) {}^{2} [/tex]
[tex] \implies \rm \: x + 11 = - (1 + x) {}^{2} [/tex]
[tex] \rm \implies \: \: x + 11 = 1 - 2x + x {}^{2} [/tex]
[tex] \rm \implies \: 1−2x+x {}^{2}=x+11[/tex]
[tex] \rm \implies1+x {}^{2} −3x=11[/tex]
[tex] \rm \implies1+x {}^{2} −3x−11=0[/tex]
[tex] \rm \implies {x}^{2} - 3x - 10 = 0[/tex]
Factor the LHS
[tex] \implies \rm \: (x - 5)(x + 2) = 0[/tex]
Bring terms equal to 0, that is
[tex] \implies \rm(x - 5) = 0[/tex]
Solve for x[tex] \implies \rm \: x = 5+ 0 = \boxed 5[/tex]
AND set x+2 equal to 0,
[tex] \rm\implies \: x + 2 = 0[/tex]
Solve for x[tex] \rm \implies \: x = - 2[/tex]
So the possible two values are 5 & -2.
But, after plugging the values for verifying each,the most accurate is 5.
So, the value of x is 5.
Related Questions
Jessica, Becky, Leah, and Heidi go to the movies. if the girls randomly sit next to one another, what is the probability that becky and leah will sit next to each other? how many total outcomes are there for the seating arrangements? what is the probability of the girls randomly sit that becky and leah will sit together? what is the probability that becky and leah will not sit together? 100 points will be given!
Answers
Answer:
24 total arrangements,
Step-by-step explanation:
thats all i know for this question, the rest are lost within my brain... somewhere
A teacher had 39 students in her classes. If each student completed 73 problems which expression shows about how many problems she'd have to grade?
Answers
For exercises 16-18 , trace each figure and draw its rotated image
Answers
PLZ HELP FAST
Enter an equation in standard form to model the linear situation.
A pool that is being drained contained 19,000 gallons of water. After 2 hours, 14,500 gallons of water remain.
Answers
Answer:
Step-by-step explanation:
it is losing 4 500 every 2 hours. so 2 250 every hour. It will go like 19 000
- 14 500 - 10 000 - 5 500 - 1 000. Then it will lose the rest in less than 30 minutes
Simplify. 3/4−4x+1/2x−1/2+1/2x Enter your answer in the box. Do not use decimals in your answer
Answers
Answer:
-3x+1/4
Step-by-step explanation:
hope this helps!
Answer:
-3x+1/4
Step-by-step explanation:
i got it right on k12
The second derivative of a function F is given by F^11(x)=sin(3x)- cos (x^2). How many points of inflection does the graph FF have on the interval 0
Answers
Math pic is below
Thanks
Answers
Answer:
q = 90
Step-by-step explanation:
q / 18 = 5.
Multiply both side by 18.q /18 × 18 = 5 × 18
q = 90.
DATE
PERIOD
Unit 3, Lesson 7: Cool-down
M
7.5: Cheetah Speed
(2 4
A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a cheetah
running at a constant speed. Explain or show your reasoning.
time (seconds) distance (meters) speed (meters per second)
4
120
25
270
Answers
Answer:
ok this was a good one so here
Step-by-step explanation:
time (seconds)
distance (meters)
speed (meters per second)
4 120 30
25 750 30
9 270 30
The required values are in the completed table which has been attached below.
What is the distance?Distance is defined as the product of speed and time.
Since the Cheetah's speed is constant, the speed must be consistent throughout the table.
To calculate the unknown time and distance, use the following formula:
Speed = Distance/Time = c
When distance = 120m, time = 4 secs
Speed = 120/4 = c
Speed = 30m/s = c
We are to get the distance when the time is 25 secs
Speed = Distance/Time
30 = d₂/25
d₂ = 30 × 25
d₂ = 750 m
To get the time in the third column
Time = Distance/Speed
t₃ = 270/30
t₃ = 9seconds
Therefore, the required values are in the completed table which has been attached below.
Learn more about the distance here:
brainly.com/question/13269893
#SPJ2
I need help :)dndnns
Answers
Answer
ahh nvrm i got it wrong and did not wanna mess u up it is 6 thats the correct answer
Step-by-step explanation:
Complete the steps for using a Area Model to solve 504 ÷ 14
//Please help this is my last thing
Answers
Answer: hc
Step-by-step explanation:
What is the answer to the last question
Answers
Answer:
b
Step-by-step explanation:
Answer:
the answer for the last one is A = 6
Find the m
D
55
35
В
Answers
What is 25% of 8. ??????????????????
Answers
Answer:
2
Step-by-step explanation:
1/4 of 8 = 25%
25% = 1/4
8 / 4 = 2
Helpppppppppppp!!!!!!!!!
Answers
Answer: The answer is D. 1/16
Step-by-step explanation: If you think about it, 2 to the 4th power is 16. But in this situation, you have a negative exponent. To solve an exponent situation with a negative situation, put a 1 as the numerator and put the answer of the expression but with the exponent's positive value as the denominator. Hope this helps :D
if 2x = 10
find the value of x
Answers
Answer:
5
Step-by-step explanation:
Divide both sides by 2.
Answer:
x=5
Step-by-step explanation:
2x=10
Divide 2 from the other side to isolate the variable.
x=5
Find the value of x in each figure. B 9. - 15 2x A C
Answers
Which one is right ?? Ejenejejdjdjrjrjfjfjfdjjrjrjrjrtjrjrjrj ururhrjej
Answers
Answer:
The answer is 79.5
Step-by-step explanation:
Answer:
i cant really see but i think it is b
Step-by-step explanation:
. Sharon is building bookshelves for her room. She bought a board that is 10 1/2 feet long. If she cuts the board into three equal pieces, how long will each shelf be?
Answers
Answer:
3 1/2 feet
Step-by-step explanation:
10 1/2 / 3 = 7/2 = 3 1/2
a) Solve x² + 4x - 8 = 0 by completing the square
Answers
Answer:
x = 2 + 2i, x = 2 - 2i
Step-by-step explanation:
[tex] {x}^{2} - 4x + 8 = 0 \\ \\ {x}^{2} - 4x + 4 + 4= 0 \\ \\ {x}^{2} - 4x + {(2)}^{2} = - 4 \\ \\ {(x - 2)}^{2} = - 4 \\ \\ x - 2 = \pm \sqrt{ - 4} \\ \\ x - 2 = 2i \\ \\ x = 2 \pm 2i \\ \\ x = 2 + 2i, \: \: \: x = 2 - 2i[/tex]
Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.
Based on the advertised sales, at which store will Zachary get the lowest price on 4 tires?
Answers
Answer:
Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.
Step-by-step explanation:
At store R, we get the fourth tire for free, if we buy three tires.
Each tire costs $150, so the cost of 3 tires is .
So at store R, we get 4 tires for $450.
At store S, if we buy 4 tires, we pay $70 off for each tire.
Each tire costs $200, so the cost of 4 tires is
If we get $70 off for each tire, we get for 4 tires.
So at store S, we get 4 tires for
So at store S, we get 4 tires for $520.
Step 2:
At store T, if we buy 4 tires, we pay $200 off the total price.
Each tire costs $175, so the cost of 4 tires is
If we get $200 off the total price, we get for 4 tires.
So at store T, we get 4 tires for $500.
At store V, if we buy 4 tires, we get 10% of the total price.
Each tire costs $130, so the cost of 4 tires is
If we get 10% off the total price, we get for 4 tires.
So at store V, we get 4 tires for $468.
Step 3:
So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.
So Isaiah will get the lowest price on 4 tires at store R.
At store R, we get the fourth tire for free, if we buy three tires.
Each tire costs $150, so the cost of 3 tires is .
So at store R, we get 4 tires for $450.
At store S, if we buy 4 tires, we pay $70 off for each tire.
Each tire costs $200, so the cost of 4 tires is
If we get $70 off for each tire, we get for 4 tires.
So at store S, we get 4 tires for
So at store S, we get 4 tires for $520.
Step 2:
At store T, if we buy 4 tires, we pay $200 off the total price.
Each tire costs $175, so the cost of 4 tires is
If we get $200 off the total price, we get for 4 tires.
So at store T, we get 4 tires for $500.
At store V, if we buy 4 tires, we get 10% of the total price.
Each tire costs $130, so the cost of 4 tires is
If we get 10% off the total price, we get for 4 tires.
So at store V, we get 4 tires for $468.
Step 3:
So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.
So Isaiah will get the lowest price on 4 tires at store R.
helpppppp pleaseeee
question: Why do we need to know the mass of a robot? *
why is this in math why does my teacher does this
Answers
Answer:
To know what the answer is
Step-by-step explanation:
clearly I do not know, but I can say that we do need to know the mass bc in the future there will be more and more androids on the rising making human interaction bad.
to find out the equation take the seed and the time. (this to make it look like i answered) Taking the mass you will be able to find out how manyspeed is found by the time and masstime is found out by the mass and speedi dont know if this helpedAnswer:
Step-by-step explanation:
When rolling two 6-sided dice, what is the probability of rolling a sum of 7 and 11?
Answers
Answer:
We have two 6-sided dice.
Each one of them has 6 possible outcomes.
The total number of outcomes for the pair, will be equal to the product between the numbers of outcomes for each one of them
Then the total number of outcomes is:
C = 6*6 = 36.
The number of outcomes where the sum of the dice are 7 are:
1 and 6
6 and 1
2 and 5
5 and 2
3 and 4
4 and 3
So we have 6 outcomes where the sum of both numbers is equal to 7.
The probability of rolling a pair such that the sum is equal to 7, is equal to the quotient between the number of outcomes that meet this condition (6) and the total number of outcomes (36)
The probability is:
P = 6/36 = 1/6
Now let's do the same for 11.
The outcomes where the sum is 11 are:
5 and 6
6 and 5
So we have two outcomes.
In this case, the probability will be:
P = 2/36 = 1/18
Please help me
Find the value of x.
Answers
Answer:
d: x = -8
Step-by-step explanation:
40 + 65 + x + 83 = 180 (sum of internal angles of a triangle)
x = 180 - 40 - 65 - 83
x = -8
Please help I need the answer
Answers
Answer:
Please check the attached graph.
The point of intersection will be: (x, y) = (15, -2)The solution will be:
(x, y) = (15, -2)Hence, option (B) is correct.
Step-by-step explanation:
Please note that the point of intersection is the solution of the two lines on a coordinate plane.Given the system of equation
[tex]\begin{bmatrix}y=\frac{2}{3}x-12\\ y=2x-32\end{bmatrix}[/tex]
Please check the attached graph,
The red line is representing the equation [tex]y\:=\:\frac{2}{3}x-12[/tex]The blue line is representing the equation [tex]y\ =\ 2x-32[/tex]From the attached graph, it is clear that both the lines meet at the point (15, -2).
In other words,
at x = 15, y = -2
Thus, the point of intersection will be: (x, y) = (15, -2)
We already know that the point of intersection is the solution of the two lines on a coordinate plane.
Therefore, the solution will be:
(x, y) = (15, -2)
Hence, option (B) is correct.
Player pays a fee, then reaches into a large jar and picks out a ball. The jar contains one ball for each letter of the alphabet. If the players picks out a ball with a vowel on it, the player wins 200 dollars. If the player picks out a ball with a consonant on it, the player wins nothing. What fee should be charged to play this game in order for it to be considered a fair game?
Answers
Answer:
€4.20
Step-by-step explanation:
the have a 5 in 26 chance in winning so 26(letters in alphabet) - 5(vowels) =21
21÷5 =4.2
Box 1:
Dimensions: x by 3x by x
Area of base =x(3) = 3r?
Dimensions: x by 4x-1 by x
Area of base = x(4x-1) = 41²-x
Answers
Answer:
1. monomial
2. binomial
Step-by-step explanation:
Box 1's volume will be a monomial
Box 's volume will be a binomial
Is it appropriate to fit a simple linear regression model that predicts survival (live or die) of a mouse using the quantitative variable of drug dosage (in milligrams) as a predictor variable?
Answers
Factorize: Challenge problem:
x^2+19x+78
help :)
Answers
Answer:
(x + 6)(x + 13)
Step-by-step explanation:
Given
x² + 19x + 78
Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)
The factors are + 6 and + 13 , since
6 ×13 = + 78 and 6 + 13 = + 19 , then
x² + 19x + 78 = (x + 6)(x + 13) ← in factored form
[tex]\bold{ x^2+19x+78 }[/tex]
[tex]\bold{ x^2+13x+6x+78 }[/tex]
[tex]\bold{ x(x+13)+6(x+13) }[/tex]
[tex]\bold{(x+6)(x+13) }[/tex]
Use special right triangle ratios to find the length of the hypotenuse. Right Triangle Trig.
Answers
Answer:
11 sqrt(2)
Step-by-step explanation:
We know that in a 45 45 90 triangle, the lengths of the sides are x, x ,x sqrt(2)
the length of x is 11
so the lengths of the sides are 11, 11, 11 sqrt(2)
The hypotenuse is 11 sqrt(2)
I WILL GIVE BRAINLIST!!
Showthat (2x+i)(2x−i) = 4x2 +1
Answers
(2x + I) (2x-I) = 4x^2 + 1
Using the complex arithmetic rule:
(A + bi)(a-bi) = a^2 + b^2
A would be the 2x and b would be the i
So you would have:
(2x)^2 + (i)^2
(2x)^2 = 2x times 2x = 4x^2
i ^2 = 1
Final answer is 4x^2 + 1