Answer:
x = ± 6
Step-by-step explanation:
Hello!
Solve[tex]5x^2 = 180[/tex][tex]x^2 = 180/5[/tex][tex]x^2 = 36[/tex][tex]\sqrt{x^2} = \sqrt{36}[/tex][tex]x = \pm 6[/tex]The value of x is 6 or -6.
Hi...
Given:
[tex]\texttt{5x}[/tex]² [tex]\texttt{= 180}[/tex]
Solution:[tex]\texttt{5x}[/tex]² [tex]\texttt{= 180}[/tex]
Explanation:Divide both sides by 5
[tex]\hookrightarrow{\mathtt{\frac{5x^2}{5}} = {\mathtt{\frac{180}{5}}[/tex]
Simplify:
[tex]\hookrightarrow{\mathtt{x^2 = 36}[/tex]
[tex]\hookrightarrow{\mathtt{For \: x^2 \: = f(a) \: the \: solutions \: are \: x = \sqrt{f(a)}}[/tex] , [tex]\mathtt{- \sqrt{f(a)}}[/tex]
[tex]\hookrightarrow{\mathtt{x = \sqrt{36}}[/tex] , [tex]\mathtt{x = -\sqrt{36}}[/tex]
Factor the number: 36 = 6²
[tex]\mathtt{= \sqrt{6^2}}[/tex]
Apply radical rule: [tex]\mathtt{\sqrt[n]{a^n} \: = a}[/tex]
[tex]\mathtt{\sqrt{6^2} = 6} \\\mathtt{= 6}[/tex]
- [tex]\sqrt{36} = -6[/tex]
[tex]\boxed{\fbox{\bf{x = 6 , x = -6}}}[/tex]
Hope It Helps You...
What is the scale factor for XYZ TO UVW?
Answer:
D. 2
Step-by-step explanation:
If you multiply any side from XYZ by 2 it will equal the same length of one of the sides of UVW.
solve for x
4x + 9
16x - 9
Answer:
9
Step-by-step explanation:
Vertical lines are parallel so the given interior angles are supplementary and their sum is equal to 180:
4x + 9 + 16x - 9 = 180 add like terms
20x = 180 divide both sides by 20
x = 9
Solve the following system of equations. Show all work and solutions.
y = 2x^2 + 6x + 1
y = −4x^2 + 1
Make the equations equal and solve for x
2x²+6x+1=-4x²+16x²+6x=06x(x+1)=06x=0 or x+1=0x=0 or x=-1For x=0
y=-4(0)+1=1For x=-1
y=-4(1)+1=-3The solutions are
(0,1) and (-1,-3)Graph attached
Find the coordinates of P so that P partitions segment AB in the part-to-whole ratio of 1 to 5 with A(-9, 3) and B(1, 8). Explain.
Find point Z that partitions the directed line segment XY in the ratio of 2:1 where X(1, 2) and Y(7, 5). Explain.
For both problems, we can use the section formula.
1) [tex]P=\left(\frac{(1)(1)+(5)(-9)}{6}, \frac{(1)(8)+(5)(3)}{6} \right)=\boxed{\left(-\frac{22}{3}, \frac{23}{6} \right)}[/tex]
2) [tex]Z=\left(\frac{(2)(7)+(1)(1)}{3}, \frac{((2)(5)+(1)(2)}{3} \right)=\boxed{(5, 4)}[/tex]
Each section of a spinner is labeled with a unique number and is the same size and shape as the other sections. the spinner is spun two times. the number of possible outcomes is 16. how many sections is the spinner divided into? 2 4 8 16
By counting the total number of outcomes, we conclude that the spinner has 4 sections.
How many sections does the spinner has?Let's say that the spinner has N sections.
If we spin it twice, for the first outcome we have N possible outcomes and for the second spin there are N possible outcomes.
Then for the experiment of spinning the spinner twice, the number of outcomes is:
O = N*N
And we know that the number of possible outcomes for spinning the spinner twice is 16, then we have:
16 = N*N = N^2
Solving for N, we have:
N = √16 = 4
Then we conclude that the spinner has 4 sections.
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Yusuf and some friends are going to the movies. At the theater, they sell a bag of popcorn for $4 and a drink for $3.25. How much would it cost if they bought 4 bags of popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and d drinks? Total cost, 4 bags of popcorn and 8 drinks: Total cost, p bags of popcorn and d drinks:
Answer:
$42 would be the correct answer.
please help me im just really slow
On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4), (2, negative 4), (2, negative 2).
How many points need to be removed from this graph so that it will be a function?
1 point
2 points
3 points
0 points
Three points must be removed from this graph so that it will be a function
How to determine the number of points?The points are given as:
(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2).
For a set of point to represent a function;
Each x coordinate must point to only one y coordinate
From the given points, we have the following highlights:
The x value -3 has two y values (2 and 3)The x value 1 has two y values (4 and -4)The x value 2 has two y values (-4 and -2)In the above highlights, one point each must be removed.
This means we have a total of 3 points
Hence, three points must be removed from this graph so that it will be a function
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Answer:
C. 3 points
Step-by-step explanation:
Is the graph increasing, decreasing, or constant?
Answer:
Decreasing
Step-by-step explanation:
Because the equation of that graph is Y=-X, and the - in the X represents that the graph is decreasing.
The box plot below represents some data set. What is the interquartile range (IQR) of the data?
Cual es la regla de la sucesion de 1,4,7,10,13,16,19,
Given, a = 1
common difference = 3
Eighth term = a+(n-1)d = 1+(8-1)3
= 1 + 21 = 22
Hope this helps :)
hi I need help answering this question please worth 20 points
question is : how many people went on the fishing trip ?
what is the equation of the line that contains point (2, -6) and has a slope of -2
y= -2x + 10
y= -2x + 2
y= -2x - 2
y= -2x -10
Answer:
y=-2x+10
Step-by-step explanation:
i graphed it i graphed all of them
Answer:
y-2x-2
Step-by-step explanation:
The way I would do this is by first using the information given and making an equation in point-slope form, before bringing it to y=mx+b.
We know that the slope is -2, and we have a point, (2,-6). The formula for equations in point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]. So, we can insert the given information into this formula to get [tex]y+6=-2(x-2)[/tex].
Next, we distribute the slope to the the parenthesis to get [tex]y+6=-2x+4[/tex]
Then, we subtract 6 from both sides to get [tex]y=-2x-2[/tex]
Since this equation is now in the form [tex]y=mx+b[/tex], the answer is [tex]y-2x-2[/tex]
Hope this helps! :)
How many grams are there in 28 kilograms
Which of the following is an exponential function?
a. f(x)=x³ + 2x²² -6
b. f(x) = 5/x
c. f(x) = 5x + 2
d. f(x) = 4x²
e. f(x) = 4x*2*
f(x) = 4²ˣ, this is an exponential function. Then the correct option is E.
What is an exponent?Let a is the base and x is the power of the exponent function and b is the y-intercept. The exponent is given as
y = aˣ + b
The exonentuial functions are given below.
a. f(x)=x³ + 2x²² -6, this is not an exponential function.
b. f(x) = 5/x, this is not an exponential function.
c. f(x) = 5x + 2, this is not an exponential function.
d. f(x) = 4x², this is not an exponential function.
e. f(x) = 4²ˣ, this is an exponential function.
Then the correct option is E.
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find the length and width of a rectangle whose
Length is 5cm longer than it’s width
Whose area is 50cm
Step-by-step explanation:
width= x (let)
length= x+5
Area=50 cm
Now ,
area = l ×b
50 = (X×X+5)
50 = (2X + 5)
50÷ 2= X+5
25 -5 = X
X=20
LENGTH = X+5
20+5
=25
You and your family are going on a
family cruise this summer! WOO HOO!
Your parents had to put down a $250
deposit. Then, the cruise costs $500
per person on top of that. There are 5
people in your family. How much will
the entire cruise cost? Okay
PLEASE HELP ASAP ILL MAKE YOU THE BRAINIEST Find the area of the rhombus
Answer:
the answer is 40
Step-by-step explanation:
A = 10 x 8 over 2 which is 40
53, 13, 34, 41, 26,61, 34, 13,69 mean median mode and range
Answer:
mean 38.22
median 34
mode 13 & 34
range 56
Step-by-step explanation:
mean- add all values together and divide by number of values
median- order from least to greatest find the middle value
mode- the value that appears most often, can be more than one value
range- smallest value subtracted from the largest
Using the digits 0 to 9
Supplementary Angles:
[tex]\boxed{100°} and \boxed{80°}[/tex]
Arithmetically speaking, the closest 2 supplementary angles can get (in 3 and 2 digits respectively) is the upwritten.
Complementary Angles:
[tex]\boxed{45°} and \boxed{45°}[/tex]
Simply, in this case, for angles to be numerically as close as possible - make both the angles 45°.
Select the correct answer from each drop-down menu.
veronica wants to cut a sheet of paper into squares with an area of 12 square inches. for the best approximation, the length of each side o
the square pieces of paper must be approximately equal to
inches. if each side were exactly this length, the area of each square
would be _____
square inches
Answer:3.46
Step-by-step explanation:i dont know the other one
A stainless steel patio heater is a square pyramid. The length of one side of the base is 23.4 in. The
slant height of the pyramid is 93.2 in. What is the height of the pyramid?
The height of the pyramid is aboutin.
(Round to one decimal place as needed.)
The height of the square-based pyramid is 91.72 in if the length of one side of the base is 23.4 in.
What is a square pyramid?In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the center of the square.
We have a square pyramid.
Length of the pyramid = 23.4 in
The slant height of the pyramid = 93.2 in
From the figure:
Base length CB = DC = 23.4 in
In a right-angled triangle, BCD
Applying Pythagoras theorem:
DC² + CB² = DB²
23.4² + 23.4² = DB²
DB = 33.092 in
OB = (1/2)DB
OB = (1/2)33.092 = 16.546 in
In the right-angle triangle AOB, again applying Pythagoras theorem:
AO² + OB² = AB²
h² + 16.546² = 93.2²
AO = h (height of the square pyramid)
AB = slant height = 93.2 in
After calculating, we get:
h = 91.719 ≈ 91.72 in
Thus, the height of the square-based pyramid is 91.72 in if the length of one side of the base is 23.4 in.
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How to remember nagative exponents how to solve nagative exponents
To solve the negative exponents , we have to apply the negative exponent rule or the fractional exponent rule.
How are negative exponent calculated?To calculate the negative exponent we need to remember about the negative exponent that the base is on the opposite side of the fraction. Here , We need to flip the fraction so that the base will be on the other side.
Negative exponent Rule :-
[tex]a^{-n} = \frac{1}{a^{n} }[/tex]
Now , we will solve a fraction with negative exponent
For example ; Simplify the fraction [tex]\frac{3^{-2} }{9^{-2} }[/tex]
Solution : [tex]\frac{3^{-2} }{9^{-2} } = \frac{9^{2} }{3^{2} }= \frac{81}{9}[/tex]
= 9
Here, 9 is the answer of the above example.
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it rained on 3/7 of days write the rof the days it rained to number of days
The ratio of the days it rained to number of days is 3 : 7
How to determine the ratio?The proportion of the number of days it rained is given as:
Proportion = 3/7
This means that:
Proportion = Days it rained/Total number of days.
So, we have:
Days it rained/Total number of days = 3/7
Express as ratio
Days it rained : Total number of days = 3 : 7
Hence, the ratio is 3 : 7
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there are 6 members of a board of supervisors for a park district they need to form a subcommittee of 3 people to study expanding a park how many different committees could be formed from the members
Graph the equations to find the solution(s) to the system.
y=x+3y=13(x+5)(x−1)
Use the Line tool to graph the line.
Use the Parabola tool to graph the parabola. Choose maximum or minimum point first and then a point on the parabola.
By graphing both equations, we see that the solutions of the system of equations are (1.05, 4.05) and (-4.97, - 1.97)
How to solve the system of equations?Here we have the system of equations:
y = x + 3
y = 13*(x + 5)*(x - 1).
To solve this system graphically, we need to graph both equations and see where the curves intercept.
The graph of the two equations can be seen below.
There are two solutions, one is (1.05, 4.05) and the other is (-4.97, - 1.97)
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Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. X = t5 1, y = t6 t; t = −1
The equation of the tangent to the curve at the point corresponding to the given value of the parameter will be x + y = c.
How to calculate the tangent of the parameter curves at a point?The curves are given below.
x = t⁵ + 1 and y = t⁶ + t
Then differentiate the functions with respect to t, then we have
[tex]\rm \dfrac{dx}{dt} = 5t^4\\[/tex] ...1
and
[tex]\rm \dfrac{dy}{dt} = 6t^5 + 1[/tex] ...2
Divide equation 2 by equation 1, then we have
[tex]\rm \dfrac{\dfrac{dy}{dt} }{\dfrac{dx}{dt} } = \dfrac{dy}{dx} = \dfrac{6t^5 + 1}{5t^4}[/tex]
Then the slope of the equation at t = −1, then we have
dy/dx = [6(-1)⁵ + 1]/[5(-1)⁴]
dy/dx = (-6+1)/5
dy/dx = -5/5
dy/dx = -1
Then the equation of the tangent line will be
y = -x + c
x + y = c
Where c is a constant.
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The NUK Energy Company is designing a new logo, as shown in the accompanying
diagram, with mNK-130 and mNK-m.NU.
N
K
What is the measure of ZKNU?
1) 80°
2) 65°
3) 50°
4) 100°
U
The measure of the angle KNU (∠KNU) of the cyclic quadrilateral is; Option 3: 50°
How to find the angle in a quadrilateral?
From the attached cyclic quadrilateral of NUK Energy Company's new logo, we can say that equal angles intercept equal arcs and as such, the measure of angle KNU will be;
∠KNU 1/2 * 100 = 50°
This is because If two inscribed angles of a circle intercept the same arc or arcs of equal measure, then the inscribed angles have equal measure.
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What is the measure of angle B in the figure below?
A
3
B
D
3√√2
C
O 30°
O 45°
O 60°
O 90°
Can somebody please help answer this word problem using grass method? And showing how u get the answer thanks!!!
WILL MARK BRAINLIEST FOR WHOEVER ANSWERS THIS !!! :DD
Answer + Step-by-step explanation:
GRASS method is an acronym for Given, Required, Analysis, Solution, and Statement.
Given:
Charles has $50.00 (total)Charles spent 1 / 4 on a gift card (spent means subtract from total)Charles spent 5 / 8 on a new wallet (spent means subtract from total)Required:
The question asks: “How much money is leftover?” From this we know we have to find the leftover amount. Find: x = ?Analysis:
50 (total) = x + 1/4 + 5/8 than solve for x
how much money leftover (x)
= total - spent on gif card - spent on new wallet
x = 50 - 1 / 4 - 5 / 8
Solution:
x = 50 - 1/4 - 5/8
1/4 of 50 is 50 / 4 = 12.5x = 50 - 12.5 - 5/8
5/8 of 50 is 50/8 = 6.25 this is 1/8 of the pricethan multiply by 5 to get 5/8, 6.25 x 5 = 31.25x = 50 - 12.5 - 31.25
x = 6.25
Statement:
We found that the leftover amount is $6.25.
Therefore, the leftover amount of money with a starting amount of $50.00 and purchasing a gift card and new wallet is in fact $6.25.