Question 22 of 25
Use completing the square to solve this quadratic equation.
Check all that apply.
X^2-10x+25=2
Answers
Answer:
A and B
Step-by-step explanation:
Please let me know if you want an explanation for why this is the answer (comment on this answer). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!
x^2-10x+25-2=0
x^2-10x+23=0
Use the quadratic formula
x=-(-10) ±√(-10)^2 -4*1*23/2*1
x=10±√(-10)^2 -92/2
x=10±√100−92/2
x=10±√8/2
x=10+2√2/2
x=10-2√2/2
Answer:
x=5+√2
x=5-√2
Related Questions
CAN YALL HELP ME WITH PYTHAGOREAN THEOREM
Answers
Answer:
c=82
Step-by-step explanation:
Answer:
The answer is 82!
Step-by-step explanation:
(18)^2 + (80)^2 is 6724, which has a square root of 82.
Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5. Point Q is the center of dilation. Square A B C D is dilated to created square A prime B prime C prime D prime. The length of B prime C prime is 24 feet. If the pool is to be 24 ft on each side, what is the length of one side of the hot tub?
Answers
Answer:
The length of one side of the hot tub is 4.8ft
Step-by-step explanation:
Given
Shape: Square
[tex]k = 5[/tex] -- scale factor
[tex]B'C' = 24[/tex]
Required
Side length of ABCD (the hot tub)
From the question, we understand that
[tex]ABCD \to D_5 \to A'B'C'D[/tex] ABCD dilated by 5 to A'B'C'D
This implies that:
[tex]BC * 5 = B'C'[/tex] i.e. the sides of ABCD is multiplied by 5 to get A'B'C'D
So, we have:
[tex]BC * 5 = 24[/tex]
Divide by 5
[tex]BC = 4.8[/tex]
Please refer to the picture
Answers
The graph is shown in the attachment below
From the graph, the solution to the equation [tex]\frac{4}{x}-2x+1=0[/tex] is x = -1.2 and x = 1.7
From the picture, we are to draw the graph of the function
[tex]y = -\frac{4}{x}[/tex] for the range of values [tex]-3\leq x\leq 3[/tex] (that is for values of x from -3 to 3)
First we will create the table of values for the function
Table of values for the function [tex]y = -\frac{4}{x}[/tex]
x y
-3 1.33
-2 2
-1 4
0 Undefined
1 -4
2 -2
3 -1.33
(Shown better in the docx attachment)
The graph for the function [tex]y = -\frac{4}{x}[/tex] (purple lines) is also shown in the attachment.
To use the graph to solve the equation [tex]\frac{4}{x}-2x+1=0[/tex]
We will rewrite the equation so that it takes the form [tex]y = -\frac{4}{x}[/tex]
From [tex]\frac{4}{x}-2x+1=0[/tex]
Then, [tex]-2x+1= -\frac{4}{x}[/tex]
∴ [tex]y = -2x+1[/tex]
Hence, we will plot the graph for the function [tex]y = -2x+1[/tex] on the same graph and the points of intersection gives the solution.
The function is a linear equation
The points of intersection on the x and y axes (x-intercept and y-intercept) are enough to plot a straight line graph as shown in the table below as well as in the graph
x y
0 1
0.5 0
(Shown better in the docx attachment)
The straight red lines in the graph shows the plot for the function [tex]y = -2x+1[/tex]
From the graph, the points of intersection are -1.2 and 1.7
Hence, the solution to the equation [tex]\frac{4}{x}-2x+1=0[/tex] is x= -1.2 and x = 1.7
Learn more here: https://brainly.com/question/17174762
Use the distributive property to rewrite this expression, then simplify the new expression, if possible.
-3(y+2)
Answers
Answer:
-3y-6
Step-by-step explanation:
[tex]-3(y+2)=-3y-6[/tex]
PLEASE SOMEONE SOLVE B) I ALREADY KNOW 1. A) Is 75.875m^2
Answers
I have two hours to get this done please help me I’ve been stuck on this problem
Answers
Answer:
The answers are all bolded below. If you can, please read the explanation so you can pass a test if asked.
Step-by-step explanation:
First, the quadratic equation we are starting with is -x^2 + 10x + 9.5
-------------------------------------------------------------------------------------------
For the first part, it's asking for how high it is when it starts, commonly, we use 0 as the start point so if we plug 0 into the quadratic equation, we have 9.5. The height is 9.5 feet at start.
-------------------------------------------------------------------------------------------
For the second part I'm assuming it's asking for either a minimum or a maximum and because the equation has a -x^2, that means the parabola has a maximum. You can tell by -x^2 being negative, if it was x^2 (positive) it would have a minimum.
The maximum is found using the vertex formula(because the vertex is the max or min), -b/2a, where a is -1, b is 10, and c is 9.5 found in the equation because the quadratic is in standard form ax^2 + bx + c. This gives a vertex of 5.
We plug 5 back in the equation to get (5, 34.5).
5 is the x-coordinate so it is 5 feet horizontally and 34.5 feet high
--------------------------------------------------------------------------------------------
For the last part it's asking for a root, or when the parabola touches the x axis/the ground.
-x^2 + 10x + 9.5
You would use the quadratic formula but I'm too lazy so I just put it into a calculator.
That gives roots of around x=−0.87367 and x=10.8737.
You can't have a negative root so you're left with x= 10.8737, rounding to the tenth decimal place, 10.9.
I think that's correct, could be wrong, if it is wrong just follow the steps and it should be fine.
Can someone please help me with this I don't understand take your time if you can explain it
Answers
:)
Step By Step Explanation:
I"ll repost it for you
Help anyone can help me do this question,I will mark brainlest.
Answers
Answer:
22 mm
Step-by-step explanation:
how to locate square root 100 on number line
Answers
Answer:
10
Step-by-step explanation:
Answer:
Step-by-step explanation:
First we find the square root of 100(for this we use a calculator)
[tex]\sqrt{100\\}[/tex] = 10
The square root of 100 is 10.
Now locate 10 on a number line.
Help ASAP
order -3, 5, 16, and -10 from least to greatest. Then order the same numbers from closest to zero to fastest from zero. Describe how your lists are similar. Would this be true if the numbers were -3, 5, -16, and -10?
Answers
Answer:
List from least to greatest:-16,-10,-3,5
List from closest to zero to the very far:-3,5,-10,16
Step-by-step explanation:
In order to know if the answer is accurate,draw a number line of directed numbers...the very far negative numbers,are said to be the least than the numbers almost close to zero...
apply the dristrbutie property to factor out the greatest common factor of (8)(x)-20
Answers
Answer:
4(2x-5)
Step-by-step explanation:
8x - 20
Rewriting
4*2*x - 4*5
Factor out 4
4(2x-5)
MY LAST QUESTION PLEASE HELP
Given the special right triangle below, what is the value of the hypotenuse?
30°
60°
6
A
6
B
673
С
123
D
12
Answers
Answer:
12
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 60 = 6/hyp
hyp = 6 / cos 60
hyp = 6 / (1/2)
htp = 12
if 2x+20 and 3x+20 makes a straight angke find value of x
Answers
Answer:
x = 28
Step-by-step explanation:
The sum of the angles in a straight angle = 180°
Sum the angles and equate to 180
2x + 20 + 3x + 20 = 180
5x + 40 = 180 ( subtract 40 from both sides )
5x = 140 ( divide both sides by 5 )
x = 28
Which point on the
graph represents
the y-intercept?
Answers
Answer:
point B
Step-by-step explanation:
The y- intercept is the point where the graph crosses the y axis
Given that 3=a+r/a-r,make r the subject of the formula?
Answers
i- dont know...sorry
is -66 rational or irrational ?
Answers
Answer:
It's rational because it's not a decimal numbet
Can you find the area of the figure?
Answers
Answer:
Below
Step-by-step explanation:
First I found the area of the triangle on the right
A = bh/2
A = (9)(4.5) / 2
A = 20.25 ft^2
Next, the area of the rectangle in the middle
A = lw
A = (7.5)(9)
A = 67.5 ft^2
And now the area of the right triangle on the left
A = bh/2
A = (5)(9) / 2
A = 22.5 ft^2
Add em all up : 20.25 + 67.5 + 22.5 = 110.25 ft^2
Hope this helps!
Please help me. Taylor pays $5.25 for 5 yard of frabric.Whats the cost per yard?
Thank you!
Answers
Answer:
$1.05 per yard
Step-by-step explanation:
5.25 ÷ 5 = 1.05
Answer:
$1.05 per yard.
Step-by-step explanation:
find unit rate; (cost / quantity)
5.25 / 5 = 1.05
I think of a number, double it and the result is 9. Evaluate the number that I first thought of
Answers
Answer:
4.5
Step-by-step explanation:
9/2 = 4.5
4x^2+2y=8 and 2x^2=7, then find y
Answers
Equation obtained from the question.
4x² + 2y = 8 .............(1)
2x² = 7..... (2)
Step 2:Determination of the value of x².
From equation 2,
[tex]2x^{2} = 7[/tex]
Divide both side by 2
[tex]x^{2} = \frac{7}{2}[/tex]
Step 3:Determination of the value of y
From equation 1,
[tex]4x^{2} + 2y = 8\\ \\But\\\\x^{2} = \frac{7}{2}\\\\Thus\\\\4(\frac{7}{2}) + 2y = 8[/tex]
Clear bracket
[tex]14 + 2y = 8[/tex]
Collect like terms
Divide both side by 2
[tex]y = \frac{-6}{2}[/tex] y = –3Therefore, the value of y is –3
Learn more: https://brainly.com/question/10618557
3.What mathematical property is used to get the resulting
expression for each line? Complete the table below.
Line 1: (7 + 10x) + 3
Line 2:
(10x + 7) + 3
Line 3:
10x + (7 + 3)
Line 4:
10x + 10
Answers
Answer:
what is the condition of loss ?1)sp>mp 2)CP>sp 3) sp>CP 4)mp>spThe UN has 4 main purposesTo keep peace throughout the world;To develop friendly relations among nations;To help nations work together to improve the lives of poor people, to conquer hunger, disease and illiteracy, and to encourage respect for each other’s rights and freedoms;To be a centre for harmonizing the actions of nations to achieve these goals
Principles of United Nations
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These principles include the equality and self-determination of nations, respect of human rights and fundamental freedoms and the obligation of member countries to obey the Charter, to cooperate with the UN Security Council and to use peaceful means to resolve conflicts.
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Chapter I of the United Nations Charter - Wikipedia
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A word where two vowels together blend their sound is a vowelrahim was getting his house build. He shared the design with his friend Anas. Anas pointed out that there were no ventilators in his house. What is your opinion Are the ventilators important? Why? What quality of Anas is evident in this case?
f(x)=-5x-4 and g(x)= -3x-2, find (f-g)(x)
Answers
Answer:
Step-by-step explanation:
(-5x-4)-(-3x-2)
-5x-4+3x+2
-2x-2
-2(x+1)
PLEASE HELP ASAP
I WILL MARK BRAINLIEST
Answers
Answer:
Estimated 120 students
Step-by-step explanation:
Hi there!
The survey established that 3 out of the 75 students did not have social media accounts.
[tex]\displaystyle \frac{3}{75}[/tex]
Let [tex]x[/tex] be equal to the number of students in the entire school who does not have social media accounts.
[tex]\displaystyle\frac{x}{3000}[/tex]
Create a proportion:
[tex]\displaystyle \frac{3}{75}=\displaystyle\frac{x}{3000}[/tex]
Multiply both sides by 3000 to isolate [tex]x[/tex]:
[tex]\displaystyle \frac{3}{75}*3000=\displaystyle\frac{x}{3000}*3000\\\\\frac{9000}{75}=x\\\\120=x[/tex]
Therefore, the number of students in the entire school who do not have social media accounts is estimated to be 120.
I hope this helps!
which are partcial products
for 34 x 28
Answers
Answer:
952
Step-by-step explanation:
34 = (30 + 4)
28 = (20 + 8)
34 x 28 = (30 + 4) x (20 + 8)
34 x 28 = 30 x 20 + 30 x 8 + 4 x 20 + 4 x 8
34 x 28 = 600 + 240 + 80 + 32
34 x 28 = 952
952 = 952
Suppose a graph passes the horizontal line test: No horizontal line can be drawn that touches the graph in more than one location. Does this mean that the graph represents a function? If not, is there anything special about a graph that passes the horizontal line test? Share your ideas with a classmate.
Answers
Answer:
Step-by-step explanation:
If a function passes the horizontal line test, then we may conclude that the inverse of the function exists and can be found.
HELP PLEASE
i would really appreciate if someone answered this correctly!
Answers
Answer:
n-32
Step-by-step explanation:
edmentum
18. If the ratio of males to females in each
of two different mathematics classes
is 5 to 4, is the ratio of males to
females still 5 to 4 if the classes were
considered as one large class instead
of two smaller classes?
Ra
Answers
Answer:
Yes, the ratio is still 5:4.
Step-by-step explanation:
If you have a class of 5 males and 4 females, both numbers can be multiplied to get an even bigger class but the same ratio.
For example:
5 x 5 = 25 males
4 x 5 = 20 females
The amount of males to females is 25:20 when simplified (divided by 5) gets you back to your ratio of 5:4. You also can't go under this because the two don't have a way to get simplified without going into decimals. And I don't think decimals are very good with the number of students.
Have a good day! :)
Plz help me out with this
Answers
Given,
HK is the perpendicular bisector of GJ. So, GK = KJ.GK = 2x + 10KJ = 3x - 15_______________
Find KJ .
_______________
First find the value of x
[tex] \sf \: GK \: = KJ \\\sf 2x + 10 = 3x - 15 \\\sf 2x - 3x = - 15 - 10 \\ \sf - x = - 25 \\ \sf \: - > \boxed{\bf \: x = 25}[/tex]
Now, find the value of KJ.
[tex]\sf3x - 15 \\ \sf= 3(25) - 15 \\ \sf=7 5 - 15 \\ = \boxed{\bf \: 60}[/tex]
-> The value of KJ is 60.
_______________
Hope it helps.
RainbowSalt2222
Answer:
KJ = 60
Step-by-step explanation:
In order to find the length of KJ we must find the value of x
Perpendicular bisectors split lines into two EQUAL parts.
If GJ is bisected then the two parts that make it up are equal to each other.
In other words GK = KJ
If GK = 2x + 10 and KJ = 3x - 15 then
2x + 10 = 3x -15
Solve for x
2x + 10 = 3x -15
Subtract 2x from both sides
10 = x - 15
Add 15 to both sides
x = 25
Now to find KJ we simply plug in the value of x into KJ's given expression
Expression given: 3x - 15
x = 25
KJ = 3(25) - 15
Multiply 3 and 25
KJ = 75 - 15
Subtract
KJ = 60
8c + 2(6 - 3c) - 7
How do I simplify this pls help
Answers
Answer:
2c+5
Step-by-step explanation:
Answer:
7c
Step-by-step explanation:
You do PEMDAS.
6-3c is 3c.
so itd be 8c + 2(3c) - 7
then id multiply 3c with 2 so its be6c.
then id add 6c with 8c, and its be 14c. then i subtract it with 7 and get 7c.
Which of the following is a geometric sequence?
Answers
ES EL PUNTO A. RPBHCGNDGE
