The equation which is results from taking the square root of both sides of the provided equation is,
[tex](x+9)=\pm5\\[/tex]
What is the square root?A square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.
Let a number is a. Then this number in the form of square root can be written as,
[tex]a=\sqrt{a}\times \sqrt{a}[/tex]
The given algebraic equation in the problem is,
[tex](x+ 9)^2 = 25[/tex]
Take the square root, in both sides,
[tex]\sqrt{(x+ 9)^2} = \sqrt{25}\\\sqrt{(x+ 9)^2} = \sqrt{5^2}[/tex]
Cancel out the square root with the square of the number as,
[tex](x+9)=\pm5\\[/tex]
Hence, the equation which is results from taking the square root of both sides of the provided equation is,
[tex](x+9)=\pm5\\[/tex]
Learn more about the square root of number here;
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Answer: C) x + 9 = ±5
Step-by-step explanation:
Edg 2022
Find the area of the shape. Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal.
Answer:
Area = 3π.
Step-by-step explanation:
This is 3/4 of a circle whose area is 3/4πr^2
= 3/4 * 2^2 * π
= = 3/4 * 4 * π
= 3π
can you prove that:
a² + b² ≥ -2ab ?
Answer:1a+1b> -2ab
Step-by-step explanation:
A chemistry experiment requires 825.00 grams of sucrose and you have
30.00 ounces available, is there enough? (28 grams = 1 ounce)
Mathematically show your answer, no credit will be giving for just writing
yes or no.*
Answer:
yes
Step-by-step explanation:
you first need to convert the 825 grams to about 29.46 ounces if you round to the hundredths place (825/28) then you can see that 30>29.46 so you will have a bit extra sucrose after doing the expirement
y = 2(z - 6)? – 1
graph the equation
Which ratios are equivalent? PLEASE EXPLAIN :D
A) 6/8, 2/3
B) 1/5, 12/15
C) 9/12, 3/4
D) 10/12, 5/7
Answer:
C) 9/12, 3/4
Step-by-step explanation:
To find which ratios are equivalent, we have to simplify them.
A)
6 and 8 have a GCF of 2, so 6/2 = 3, and 8/2 = 4. We do not get 3/4 as the fraction- we get 2/3. Thus, this cannot be the correct answer.B)
The GCF of 12 and 15 is 3, so 12/3 = 4, and 15/3 = 5. We do not get 4/5 as the fraction- we get 1/5. Thus, this cannot be the correct answer.C)
The GCF of 9 and 12 is 3, so 9/3 = 3, and the 12/3 = 4. We get the fraction as 3/4, which 3/4 = 3/4Therefore, the answer is C).
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Please 40 points and will mark as a brainlest
Answer:
If it is raining, then soccer practice is cancelled
If soccer practice is cancelled, then you can go to the mall
Step-by-step explanation:
p then q
q then r
p, r
Brenda utility bill was $175 in august and $70 in October.Why is it more in August than October. How much more???
Answer:
Because she used the AC
Step-by-step explanation:
It is $105 more in August than in October.
Answer:
this is easy
105 more
Step-by-step explanation:
emmitheblackbobcat:)
Help on this? thanks (:
Answer:
D
Step-by-step explanation:
24-6 = 18 32-6x3=18
Hope this helped!
Answer:
the answer is D. 6 bottles
The following bar chart shows the number of different types of animals at two county fairs. Fair X had a total of 645 animals, and fair Y had a total of 590 animals. Which of the following statements is supported by the bar chart?
Answer:
The percentage of all animals at fair Y that are goats is greater than the percentage of all animals at fair X that are goats.
Step-by-step explanation:
From the bar chart, we can see that 100 goats were present at fair X and Y
Let us now calculate the percentage of goats at each fair:
Fair X = 100/645 * 100 = 15.5%
Fair Y =100/590 *100 = 16.9 %
Hence there was a greater percentage of goats at fair Y than at fair X.
The bar chart is missing and so i have attached it.
Also, the question is incomplete and the missing part of the question is;
Which of the following statements is supported by the bar chart?
a) The total number of cows, pigs, and horses combined is less at fair X than at fair Y.
b) Fair X has at least 20 more chickens than fair Y.
c) At fair X, the number of sheep is twice the number of horses.
d) The percentage of all animals at fair Y that are goats is equal to the percentage of all animals at fair X that are goats.
e) The percentage of all animals at fair Y that are goats is greater than the percentage of all animals at fair X that are goats.
The only Statement that supports the bar chart is statement E.
A) Looking at the bar chart attached, we can see that;At fair X: Cows = 50, Pigs =60, Horses = 80. Total = 50 + 60 + 80 = 190
At fair Y: Cows = 60, Pigs = 80, Horses = 40. Total = 60 + 80 + 40 = 180
Total in fair X is greater than total in fair Y. Therefore statement in question is false.
B) From the bar chart;At fair X; chickens = 90
At fair Y; chickens = 80
Difference = 90 - 80 = 10
Thus,statement in question is wrong.
C) At fair X;Sheeps = 140
Horses = 80
Twice number of horses is not same as sheep. Thus, statement in question is wrong.
D) Total number of animals at fair Y = 60 + 80 + 40 + 80 + 100 + 90 + 140 = 590Percentage that are goats = 100/590 × 100 = 16.95%
Total number of animals at fair X = 50 + 60 + 80 + 90 + 100 + 125 + 140 = 645
Percentage that are goats = 100/645 × 100 = 15.5%
The percentages are not equal and so the statement in the question is wrong.
E) True because from D above percentage that are goats at fair Y are more than the percentage that are goats at fair X.Round each decimal number to the nearest tenth. Then, select the best estimate for the subtraction equation 1.79 − 0.67 = ___.
Answer:
1.10
Step-by-step explanation:
1.79
0.67
1.12 rounded is 1.10 to the nearest tenth
Need help ASAP please
Answer:
5 inches is 5 times as big as 1 inch.12.7 centimeters is 5 times as big as 2.54 centimeters.Step-by-step explanation:
5 ÷ 1 = 512.7 ÷ 2.54 = 5I hope this helps!
The value of x in the given proportion is:
x/9= 9/3
(those are fractions)
A 12
B 15
C 45
D None of these choices are correct.
can someone please help me??
Answer:
D None of these choices are correct.
Step-by-step explanation:
The value of x is 27.
[tex]\frac{x}{9} = \frac{9}{3}[/tex], x = 9 x [tex]\frac{9}{3}[/tex] = 27
Asking again: Select the correct statements
Just before midnight, the first musher, William “Wild Bill” Shannon, left Nenana. It was -50ºF. When he took his first break, it was 12º colder. What was the temperature?
Answer:
-62°F
Step-by-step explanation:
it said it got colder so it got lower not higher
The product of -6 and a number
Answer:
-6x
Step-by-step explanation:
This is correct because an unknown product is always classified as a variable or a most common used one, X. The product of -6 with an uknown variable, also known as a number, is -6x. Hope this helped and have a Great Day!!!
please help! Find the value of the convergent series:
Answer:
2.25
Step-by-step explanation:
Notice how the common ratio is -1/3, which means the series passes part 1 of the convergence test because -1/3 is in between -1 and 1.
We can also represent this as a summation series of
[tex]Σ3( - \frac{1}{3} ) {}^{n - 1} [/tex]
Since we can represent this a summation series, we can use that convergent value is equal to
[tex] \frac{a _{1} }{1 - r} [/tex]
where a1 is initial term and r is common ratio.
R is -1/3
A1 is 3.
[tex] \frac{3}{1 - \frac{ - 1}{3} } = \frac{3}{ \frac{4}{3} } = 2.25[/tex]
So the answer is 2.25
please help! :0
Which of the following is not a characteristic of a point?
A. Flat surface
B. Named using a capital letter
C. No depth or width
D. Undefined term
Answer:
D. Undefined term
Step-by-step explanation:
Points are flat surfaces, named using a capital letter, and have no depth or width because they are on a FLAT plane. Just like lines are named "line A", are on a flat surface, and have no depth or width, points also share these characteristics because they are all on a plane. However, a point is not an undefined term, it is a defined term.
A point is a geometric feature used for the definition of geometric objects
The option which is not a characteristic of a point is option A:
A. Flat surface
The reason for the above selection is as follows:
A point in Euclidean geometry is a concept that defines an exact spatial location
The characteristics of a point are:
A point only represents position, it has no dimensions; It does not have a thickness, width, or lengthThe explanation given of a point is made by use of descriptions or examples and therefore, a point is considered an undefined termA point can be denoted or named using capital letters and represented using dotsA flat surface is defined by three noncolinear points
Therefore;
The given option which is not a characteristic of a point is therefore option A. Flat surface
Research more about the characteristics of points here:
https://brainly.com/question/4700224
https://brainly.com/question/2751182
Renee is walking to a store that is 2. 5 kilometers from her house. After 700 meters, she stops at her friend’s house
What is the distance that Renee will walk from her friend’s house to the store?
Because she stopped at her friend's house on the way to the store, it can be seen that there is no detour. This means that the distance between her friend's house to the store is a subtraction problem
2.5 km - 700m=2500m-700m=1800m or 1.8km
I hope this helps fell free to ask any questions about this explanation.
I’ll give likes , rates , and Brainly for helping please help !
Answer: C
Step-by-step explanation:
Answer:
B. SSA
Step-by-step explanation:
Since segments JK and RQ are parallel, they are similar by both extending at the same angle and both segments formed by the parallel lines being proportional segments.Since the lengths of segments KZ and ZR are given, they are similar because they are proportional.Since vertical angles are always equivalent by the Vertical Angles Theorem, angles JZK and RZQ are congruent.Because we have 2 sides with a non-included (not in-between the two sides) angle, the triangles are similar by SSA Similarity.
I hope this helps!
for f(x)=3x+1 and g(x)=x²-6, find (fog)(4).
Answer:
The answer is 31 hope this helps
can some one help plz
Answer:
i believe its 8 to 12 im not exactly sure of my answer
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth. 6 5
Answer:
7.81
Step-by-step explanation:
Pythagorean theorem
[tex]\sqrt{6^{2} +5^{2} }[/tex]
[tex]\sqrt{61}[/tex]= 7.81
c = 7.81
Law of Cosines
[tex]c=\sqrt{b^{2} +a^{2}-2ba*cos(C) }[/tex]
[tex]c=\sqrt{6^{2}+5^{2}-((2*6*5)*cos(90)) }[/tex]
c = 7.81
If guy walks from his house to school
and back how far does he walk?
Answer: Depends how long he's in school and how far away it is from his house.
Step-by-step explanation:
Is this angle supplementary or congruent? Please help.
Answer:
supplementary
Step-by-step explanation:
we have,
3x+15+2x=180
=> 5x +15 = 180
=> 5x = 180-15
=> 5x = 165
=> x = 165/5
=> x= 33
so, 3x+15 = 3*33+15
=> 99+15
=>114
2x = 2*33
=> 99
now we can check if these angles are supplementary
114 + 99 = 180
so, they are supplementary
An incident ray of light strikes water at an angle of 30°. The index of refraction of air is 1. 0003, and the index of refraction of water is 1. 33. What is the angle of refraction rounded to the nearest whole number? 22° 24° 30° 42°.
The measure of the angle of refraction is 22 degress, the correct option is A.
What is the angle of refraction?
The angle made by a refracted ray with a perpendicular to the refracting surface.
Given
An incident ray of light strikes water at an angle of 30°.
The index of refraction of air is 1. 0003, and the index of refraction of water is 1. 33.
In order to determine the angle of the refracted ray, we may apply Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is constant for a given wave when it passes through two different media.
The angle of the refraction is given by;
[tex]\rm 1.0003 \times sin(30) = 1.33 \times sin(\phi)\\\\ \rm 1.0003 \times 0.5 = 1.33 \times sin(\phi)\\\\Sin\phi=\rm \dfrac{1.0003 \times 0.5 }{1.33}\\\\Sin\phi=0.37\\\\\phi = 22[/tex]
Hence, the measure of the angle of refraction is 22 degress.
To know more about angle of refraction click the link given below.
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Answer:
The angle of refraction is 15°.
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
Explain how to find the mean of a set of data
PLEASE MAKE THE ANSWER SCHOOL APPROPRIATE
Answer:
The mean is the average of a data set. You can find the mean by adding all of the numbers in the guven set of data and then divide by the total number of values in a set.
Step-by-step explanation:
for example:
2, 6, 8, 13, 16, 11, 7
add all of these numbers together
the total would be 63
there are 7 numbers in the data set so you would divide 63 by 7
the mean of the data set would be 9
Answer:
The average of the numbers is the mean. After adding up all the numbers, divide by the number of numbers. You must add all the values in a data set together and divide by the number of values in the collection to determine the mean. The end product is yours!
I hope this helps! ^-^
Using the BOX PLOT above, what is the Upper Quartile?
Answer:
Upper Quartile is 16 according to the diagram.
Find the values of the variables for the parallelogram.
mZ1 = 5y – 20
X=
Y=
Z=
Answer:
Step-by-step explanation:
The height of a right rectangular prism is 3 units greater than the length of the base. the edge length of the square base is x units. which expression represents the volume of the prism, in cubic units? x3 9 x3 3x2 x3 3x 3 x3 6x2 9x
The equation for the volume of the prism will be given as V=x^3+3x^2
What will be the equation of volume of the prism?The volume of the prism is given by the following formula
[tex]\rm Volume = Width\times Length\times hieght[/tex]
Here we have a condition in the question that
The height of a right rectangular prism is 3 units greater than the length
[tex]h=x+3[/tex]
length will be l = x
The width will be w=x
now by putting the value in the formula we get
[tex]\rm Volume = w\times L\times h[/tex]
[tex]\rm Volume = x \times x \times (x+3)[/tex]
[tex]\rm Volume = x^3+3x^2[/tex]
Thus the equation for the volume of the prism will be given as [tex]V=x^3+3x^2[/tex]
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If the value of "y" varies directly with "x"
and y =-8 when x=4.
Find "y" when x =-4.
Please show work if you want a brainiest!!
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{"y" varies directly with "x"}}{y=kx}\qquad \qquad \textit{we also know that} \begin{cases} y=-8\\ x = 4 \end{cases}\implies -8=k(4) \\\\\\ \cfrac{-8}{4}=k\implies -2=k ~\hfill therefore~\hspace{10em}\boxed{y=-2x} \\\\\\ \textit{when x = -4 what is "y"?}\qquad y=-2(-4)\implies y=8[/tex]
Answer:
y=8
Step-by-step explanation:
I didn't need a equation if they vary directly with each other then if the sign switches from 4 to -4 then -8 must have switched to 8