Answers
In order to solve this equation, we need to take the square root of both sides (in order to get rid of the square and isolate x, because we are asked to determine the value(s) of x)
x²=36
√x²=√36
x=6
Is this the only solution?
A negative times a negative is a positive...
-6 is another solution of this equation! :)
Hence, the answers are:-
[tex]\boxed{\boxed{\bold{x=6; ~x=-6}}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Hello! My name's Cupcake, And I will be helping you today! :D
In order to solve this equation, we need to take the square root of both sides.
Why? Because we need to isolate x. Our goal is:- To find the value of x.
So in order to get rid of the square and find the value of x, we take the square root of both sides:-
x^2=36
x=6, x=-6 (solutions)
Hope it helps!
Any queries - comment !
Related Questions
Consider the rhombus ABCD with the side length AB of 14 cm and the measure of the angle B of 120 °. Through the vertex A goes a certain secant that intersects the extensions of the sides BC and CD in E, respectively F.
Calculate:
[tex] \frac{1}{ce} + \frac{1}{cf} [/tex]
Answers
Answer:
1/14
Step-by-step explanation:
In the given geometry, we have similar triangles:
ΔCEF ~ ΔBEA ~ ΔDAF
This lets us write the relations for corresponding sides ...
CF/CE = DF/DA
where DF = CF -CD
We can rearrange this relation to give the value we're looking for as follows.
__
Making the substutition for DF, and multiplying by CE, we have ...
CF = CE(CF -CD)/DA
Both DA and CD are sides of the rhombus, so are both 14 cm in length. Multiplying by DA and making the number substitution, we have ...
DA·CF = CE·CF -CE·CD
14·CF = CE·CF -14·CE . . . . substitute 14 for DA and CD
14(CF +CE) = CE·CF . . . . . add 14·CE
(CF +CE)/(CE·CF) = 1/14 . . . . divide by 14·CE·CF
1/CE +1/CF = 1/14 . . . . . . . . . simplify
Please help I'll mark brainliest
Answers
Answer:
I think it should be 80-89.
Because the mode can't be between 70 and 70 that wouldn't make sense. Basically 70 and 70 will equal 0 in between so it wouldn't be the best choice.
Which angles are congruent to each other?
Answers
Answer:
5 and 7
Step-by-step explanation:
5 and 7 are vertical angles. The others are supplementary
HELP PLEASE PYTHAGOREAN THEOREM
Answers
A^2 + B^2 = C^2
7^2 + 12^2 =C^2
49 + 144 = 193
193=13.8 (Square root 193)
C^2 is 13.8 or 14
Julie goes to a carnival with $24 to spend. Admission cost six dollars, and each ride is an additional cost. After paying for admission, she has enough money left to go on exactly 9 rides. She decide she wants to play to carnival games, the Games cost three dollars each. Julie also buy snacks that cost $3.50. How much more money, in dollars, does Julie need to go on five rides?
Answers
Answer:
$1.50
Step-by-step explanation:
24 - 6 = 18
18/9 = cost of 1 ride
cost of 1 ride = $2
2 carnival games = 3 x 2 = $6
18 - 6 = 12
12 - 3.5 = $8.50
five rides cost = 5 x $2 = $10
10 - 8.5 = $1.50
find the area of the polygon
Answers
Answer:
D. 984
Step-by-step explanation:
The are of the trapozoid is 1/2(B1+B2)+h
The average weight of an adult black bear is 4.35 x102 pounds.
This is 15 times as much as Shaneen's dog weighs.
What is the weight of Shaneen's dog?
Answers
Answer: B (2.9 x 10)
Step-by-step explanation: (4.35 x 10^2)/15 = 29 = 2.9 x 10
Where can parentheses be placed to make 6+2³-4×3 value 500
Answers
~Denki Kaminari here~
6 + 2³ - 4 × 3 = 500
The parentheses will most likely go before the exponent because that will raise your number up higher.
(6 + 2)³ - 4 × 3 = 500
(8)³ - 4 × 3 = 500
512 - 12 = 500
500 = 500
So the parentheses will go around the (6 + 2).
hope this helps :D
Which inequality is shown in the graph?
Answers
Answer:
The answer is "A" i think not 100% sure
tell me if wrong
I need help!! I will give 5.0 star
Answers
So, here we need to differentiate tan³[tex](\theta)[/tex], wr.t.[tex]\theta[/tex], but let's recall some identities which will be very useful in this question :
[tex]{\boxed{\bf{\dfrac{d}{dx}\{\tan (x)\}=\sec^{2}(x)}}}[/tex][tex]{\boxed{\bf{\dfrac{d}{dx}(x^n)=nx^{n-1}}}}[/tex][tex]{\boxed{\bf{\sec^{2}(\theta)=\tan^{2}(\theta)+1}}}[/tex]Coming back on the question, consider :
[tex]{:\implies \quad \sf \dfrac{d}{d\theta}\{\tan^{3}(\theta)\}}[/tex]
[tex]{:\implies \quad \sf 3\tan^{3-1}(\theta)\dfrac{d}{d\theta}\{\tan (\theta)\}}[/tex]
[tex]{:\implies \quad \sf 3\tan^{2}(\theta)\sec^{2}(\theta)}[/tex]
Using the identity ;
[tex]{:\implies \quad \sf 3\tan^{2}(\theta)\{1+\tan^{2}(\theta)\}}[/tex]
[tex]{:\implies \quad \sf 3\tan^{2}(\theta)+3tan^{4}(\theta)}[/tex]
[tex]{:\implies \quad \sf 3\tan^{4}(\theta)+3\{\sec^{2}(\theta)-1\}}[/tex]
[tex]{:\implies \quad \boxed{\bf 3\tan^{4}(\theta)+3\sec^{2}(\theta)-3}}[/tex]
Hence, Proved
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is the value of X in simplest radical form?
X=_____
Answers
Answer:
X=97
Step-by-step explanation:
The formula for the Pythagorean Theorem is:
[tex]\sqrt{a^2+b^2}=c[/tex]
Now,
A=65
B=72
72x72=5184
65x65=4225
4225+5184=9409
Last,
Take the square root of 9409.
The square root is 97.
Therefore, the hypotenuse is 97.
To check, use the equation:
[tex]a^2+b^2=c^2[/tex]
A=65
B=72
C=97
72x72=5184
65x65=4225
97x97=9409
5184+4225=9409
9409=9409
Therefore, the missing side, which is the hypotenuse, is 97.
Answer:
97
Step-by-step explanation:
Given:
Opposite = 65Adjacent = 72Hypotenuse = xDefinition:
Opposite is a perpendicular/vertical side.Adjacent is a horizontal side, by adding opposite and adjacent together, you have formed a right angle.Hypotenuse is the longest side of all which is the side that’s opposite of the right angle.To find:
Value of xPythagorean Theorem:
[tex]\displaystyle \large{a^2+b^2=c^2}[/tex]
Determine:
a = oppositeb = adjacentc = hypotenuseNote:
a and b can swap each other so you can determine a = adjacent and b = opposite instead of a = opposite and b = adjacent. This is because of addition property.The exception is value of c - ‘c’ cannot be changed and must be hypotenuse.Therefore, substitute given information in:
[tex]\displaystyle \large{65^2+72^2=x^2}[/tex]
Evaluate:
[tex]\displaystyle \large{4225+5184=x^2}\\\displaystyle \large{9409=x^2}[/tex]
Square Root both sides:
[tex]\displaystyle \large{\sqrt{9409} = \sqrt{x^2}}[/tex]
Cancel the squared x, add plus-minus:
[tex]\displaystyle \large{\pm \sqrt{9409} = x}[/tex]
Simplify the surd:
[tex]\displaystyle \large{\pm 97 = x}[/tex]
However, side length is a scalar value so it cannot be negative nor have negative values. Therefore:
[tex]\displaystyle \large{x=97}[/tex]
Hence, the value of x is 97
Nancy bought a new rectangular rug for her kitchen. The rug measures 2 feet by 2 feet. What is the area of the rug?
A. 4 3/4
B. 5 1/2
C. 5 3/4
D. 9 1/2
Answers
Answer: 5.5 or 5 1/2.
Step-by-step explanation:
How much will $2000 deposited in an account earning 5% interest compounded
annually be worth in 20 years?
Answers
Answer:
Interest = 2000
Total = 4000
Step-by-step explanation:
The formula to find interest:
Interest = Original Amount x Rate x Time.
Substitute the numbers into the formula.
I = 2000 x 0.05 x 20
You must change the percentage to a decimal.
Solve for I
I = 2000 x 0.05 x 20 = 100 x 20 = 2000
The interest is $2,000. To find the amount in total after 20 years, add the interest with the original amount.
2000 + 2000 = 4000
I hope this helps and please mark me as brainliest!
PLEASE ANSWER ASAP WILL GIVE brainiest TO THE FIRST CORRECT ANSWER
You are hired by a state park and recreation department to determine whether it would be more economical to construct a walking bridge across a gorge or a walking path around it. The path involves walking 1170 feet, taking a 90° left turn, and walking another 520 feet. The path costs $6 per foot, and the bridge costs $11 per foot. The bridge is the preferred option when it is within $1500 of the path’s cost. Which option should you recommend? Explain. Be sure to use numbers in your explanation to support your decision.
Answers
The hypotenuse of the right triangle which is the bridge is not the preferred option because it cost is above $1500.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem.
Therefore, the hypotenuse side is the bridge length.
c² = a² + b²
where
c = hypotenusea and b are the other legsHence,
c² = 1170² + 520²
c² = 1368900 + 270400
c = √1639300
c = 1280.35151423
The bridge is the prefered option when the cost is within $1500. Therefore,
cost of the bridge = 11 × 1280.35151423 = $14083.87
Therefore, the bridge is not the prefered option
learn more on right triangle here: https://brainly.com/question/27309330
a circular logo has a 72 degree sector shaded orange and a 129 degree sector shaded blue. The radius of the logo is 10 inches. What is the total area shaded orange and blue?
Answers
I don't know the answer so help
-12d^2 + -40d^2
----
neg or positive outcome?
Answers
Answer: Its negetive. The answer is -52d^2
Hope this helped you!
Answer:
negativeStep-by-step explanation:
[tex]-12\ d^{2}+-40\ d^{2} = -12\ d^{2}-\ 40\ d^{2} = -52\ d^{2}[/tex]
Since −52 is negative and d² is always positive for any number d
Then ,their product −52 d² is negative .
Devi rides the bus to her grandmother’s house every day. She tracked how many minutes the bus rides took for one week:
Calculate the mean, median, range, and midrange of the bus ride times for a week.
Answers
Answer:
Noone can answer it if you dont give us the numbers
Step-by-step explanation:
Ice is placed around a bowl of water to lower the temperature. The equation D=−75t+22 shows the time, t, measured in minutes and temperature, D, measured in degrees Celsius.
Answers
Answer:
Before cooling begins, the temperature of the water is 22°C.
Step-by-step explanation:
need steps??
have a good day
rate my answer
Find the value of sin20 × sin30 × sin40 × sin80.
Please I need answers...
Answers
Answer:
3/16
Step-by-step explanation:
Prove that sin 20 ×sin40 × sin60 × sin80 = 3/16.
We have to prove sin 20 × sin40 × sin60 × sin80 = 3/16.
Consider LHS
sin 20 × sin 40 × sin60 × sin80
Sin Values
In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.
We know the trigonometric values of sin function
Proof
Consider LHS
sin 20 × sin 40 × sin60 × sin80
= sin60 [sin20 × sin40 × sin80]
= √3/2[sin20 × sin(60 – 20) × sin(60 + 20)]
= √3/2[sin 3(20)/4]
= √3/2[sin 60/4]
= √3/2[√3/2 × 4]
= √3/2 × √3/8 = 3/16
∴ LHS = RHS
Hence proved
PLS ANSWER IT PLS PLS
Answers
Answer:
The one above the orange answer in the picture
Step-by-step explanation:
85% of 20 is 17 every thing else is not 85%
The correct answer would be the one on top left
Which of the following sets of numbers could be the side lengths of a right triangle?
3, 4, and 7
9, 40, and 42
8, 15, and 16
20, 21, and 29
Answers
Answer:
9, 40, and 42
Step-by-step explanation:
Answer:
9, 40,and 42 is the answer
Step-by-step explanation:
What is the normal approximation for pi?
Answers
Answer:
Most people use 3 or 3.14
What is the slope of a line parallel to the line whose equation is 2x + 12y = -192
Fully simplify your answer.
Answers
Answer: -[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
To solve this question, I am going to first put the equation into slope-intercept form.
2x + 12y = -192
12y = -2x - 192
y = -[tex]\frac{2}{12}[/tex] - 16
y = -[tex]\frac{1}{6}[/tex] - 16
Now that the first equation has an easily identifiable slope, we can answer the question. Parallel lines will have the same slope, so that means the answer will be:
-[tex]\frac{1}{6}[/tex]
Answer: 1/-6
Step-by-step explanation:
i had this equation
Allison is making fruit drinks for her friends.
Each fruit drink is made with 3/5 cup of
strawberries and 1/5 cup of blueberries. If
Allison is making fruit drinks for 6 friends,
how many cups of fruit will she need??
Answers
The number of cups of fruit Allison will need is = 4 ⅘ cups of fruits
Calculation of total quantity of fruitsThe quantity of strawberries needed for each fruit drink= 3/5 cup
The quantity of blueberries needed for each fruit drink = 1/5 cup
Therefore the total quantity of fruits needed for each drink = 3/5 + 1/5
= 4/5
If 4/5 = 1 fruit drink
X = 6 fruit drinks
Make X the subject of formula,
X = 4/5 × 6
X = 24/5
X= 4 ⅘
Therefore, the number of cups of fruit Allison will need is = 4 ⅘ cups of fruits
Learn more about calculation of total quantity here:
https://brainly.com/question/13864606
Roy and Stefan went to a computer fair with the same amount of money. After Roy spend $850 on a notebook and Stefan spend $300 on a printer, Stefen had three times as much money left as Roy.How much money did each of them have at first?
Answers
Answer:
$1125
Step-by-step explanation:
Check the attachment.
To measure the height of the Washington Monument, a student 5.5 ft tall measures his shadow to be 4.25 ft. At the same time of day, he measured the shadow of the Washington Monument to be 430 ft
long. Use a calculator to estimate the height of the monument to the nearest foot.
The Washington Monument is approximately ________ft tall?
Answers
Answer:
OK, Well to solve this first,
Set up a ratio:
height of the student/student shadow length = height of the monument/monument shadow length
height of the monument = x
6ft./4.75ft = x/435ft.
cross multtiply
6 * 435 = 4.75x
2610 = 4.75x
divide by 4.75 to both sides
2610/4.75 = 4.75x/4.75
549.47 = x
There you go Slide Brainliest Please
Step-by-step explanation:
Question 1
Suppose a person is standing on the top of a building and that she has an instrument that allows her to
measure angles of depression. There are two points that are 100 feet apart and lie on a straight line that is
perpendicular to the base of the building. Now suppose that she measures the angle of depression from the
top of the building to the closest point to be 35.5º and the angle of depression from the top of the
building to the furthest point to be 28.8º. Determine the height of the building. (Round your answer to the
nearest tenth of a foot.)
Answers
Answer:
239.8 feet to the nearest tenth.
Step-by-step explanation:
We have 2 right triangles one inside the other.
Let the height of the builing be x ft and the distance from foot of thebuiding to the closest point be y feet.
So we have the system:
tan 28.8 = x/(y + 100)
tan 35.5 = x/y
From second equation:
x = tan35.5 y
Sustituting in the first equation:
tan 28.8 = tan35.5 y / (y + 100)
tan35.5 y = tan 28.8 y + 100 tan 28.8
y(tan35.5 - tan28.8) = 100 tan 28.8
y = 100 tan 28.2 / (tan35.5 - tan28.8)
y = 336.16 ft
So x = height of the buiding = tan35.5 * 336.16
= 239.78 ft.
Find a bank account balance if the account starts with $100, has an annual rate of 4%, and the money is left in the account for 12 years.
Answers
40 x 12 = 480
The bank account would have $480 over 12 years. Hope this helps and please mark brainliest
(b) The greatest four-digit number made with the digits 1, 0, 9, 2 is divided by the smallest three-digit number made with 1, 9, 2. Find the quotient and the remainder.
Answers
Answer:
Quotient = 70
Remainder = 50
Step-by-step explanation:
The greatest number you can make is 9210, the smallest 3-digit number is = 129.
9210 / 129 = 71 with 50 left
so:
70 is the quotient and 50 is the remainder
What’s 8.4 cm converted to in.
Answers
Answer:
3.30709
Step-by-step explanation:
FORMULA :
divide the length value by 2.54
8.4 ÷ 2.54
= 3.30709