Answers
For this case we must find the value of "x" of the following equation:
[tex]x ^ 2-9 = 0[/tex]
So:
We add 9 to both sides of the equation:
[tex]x ^ 2-9 + 9 = 9\\x ^ 2 = 9[/tex]
We apply square root on both sides of the equation to eliminate the exponent on the left side:
[tex]x = \pm \sqrt {9}[/tex]
Thus, the solutions are:
[tex]x_ {1} = + 3\\x_ {2} = - 3[/tex]
ANswer:
[tex]x_ {1} = + 3\\x_ {2} = - 3[/tex]
Opcion C
Related Questions
Distance Between Points
Choose all that correctly give the distance in the coordinate plane between two points.
(−5, 8), (5, 8)
d = 10
(3, 8), (3, −6)
d = 12
(−2, −9), (−2, 4)
d = 13
(8, −7), (1, −7)
d = 9
(−12, −4), (−6, −4)
d = 6
Answers
Answer:
(−5, 8), (5, 8)
d = 10
(−2, −9), (−2, 4)
d = 13
(−12, −4), (−6, −4)
d = 6
Step-by-step explanation:
Answer:
(−5, 8), (5, 8)
d = 10
(−2, −9), (−2, 4)
d = 13
(−12, −4), (−6, −4)
d = 6
Step-by-step explanation:
What is the mean of the normal distribution shown below? -1 0 1 2
Answers
Answer:
0.5
Step-by-step explanation:
-1 + 0 + 1 + 2 = 2
2/4 = 0.5
Answer:
well its not 1 cuz i got it wrong
Step-by-step explanation:
let me know in the comments
PLZ HURRY IT'S URGENT!!
The length of a rectangle is 13 feet. The width is 9 feet. What is the perimeter of the rectangle? A. 35 feet B. 13 feet C. 44 feet D. 22 feet
Answers
Answer: C) 44
======================================
Work Shown:
P = 2*(L+W)
P = 2*(13+9) ... plug in given length and width
P = 2*22
P = 44
Answer:
Step-by-step explanation:
In the diagram below , tan theta =square root 3. What is the value of m?
Answers
Answer:
[tex]m=\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
we know that
In the diagram
[tex]tan(\theta)=\frac{m}{1/2}=2m[/tex]
[tex]tan(\theta)=\sqrt{3}[/tex]
Equate
[tex]2m=\sqrt{3}[/tex]
[tex]m=\frac{\sqrt{3}}{2}[/tex]
Answer:
B
Step-by-step explanation:
Option B on edge
13+(-29)=
I NEED HELP FAST!!!!!!
Answers
Answer:
-16
Step-by-step explanation:
13+(-29) = 13-29 = -16
Answer: -16
Step-by-step explanation:
Try Subtracting 13 from positive 29. This will help you out!
What are the values of d, e, and f?
Answers
Answer:
B
Step-by-step explanation:
The given equation y = 2x^2 -12x - 32 can be factored as follows:
y = 2(x^2 - 6x - 16) = 2(x - 8)(x + 2). Then its roots are x = -2 and x = 8.
Since d > e and 8 > -2, we conclude that d = 8 and e = -2.
We need to find the minimum of y = 2x^2 -12x - 32.
We can do this by finding the vertex: b
The equation of the axis of symmetry is x = - ----------
2a
-12
which here is x = - --------- = 3
2(2)
so f = 3.
Answer choice B is correct.
Answer:
Tama sya Ayan yung lumabas na sagot
How does the combined volume of the small cubes compare to the volume of the large cube
Answers
Answer: A large cube consists of smaller cubes. The more small cubes, the greater the large cube.
Step-by-step explanation:
What is the vertex of the quadratic function f(x) = (x – 6)(x + 2)?
Answers
Answer:
The vertex is (2,-16)
Step-by-step explanation:
The given function is [tex]f(x)=(x-6)(x+2)[/tex]
We expand to obtain;
[tex]f(x)=x^2+2x-6x-12[/tex]
[tex]f(x)=x^2-4x-12[/tex]
We complete the squares to obtain;
[tex]f(x)=x^2-4x+(-2)^2-12-(-2)^2[/tex]
[tex]f(x)=x^2-4x+(-2)^2-12-4[/tex]
[tex]f(x)=(x-2)^2-16[/tex]
The vertex form is [tex]f(x)=(x-2)^2-16[/tex]
Comparing this to
[tex]f(x)=a(x-k)^2+k[/tex]
The vertex is (h,k)= (2,-16)
Final answer:
The vertex of the quadratic function f(x) = (x - 6)(x + 2) is found by expressing the function in vertex form. After completing the square, the vertex of the function is determined to be at the point (2, -16).
Explanation:
To find the vertex of the quadratic function f(x) = (x
– 6)(x + 2), we first need to express the function in vertex form, which is y = a(x - h)² + k, where (h, k) is the vertex of the parabola. Multiplying out the factors gives us f(x) = x² - 4x - 12. Completing the square allows us to transform this equation into vertex form.
First, Factor out the leading coefficient (which is 1 in this case, so this step is not needed), and then rewrite the function isolating the terms with x:
f(x) = x² - 4x + ____ - 12 + ____.
We complete the square by finding the value that makes x² - 4x + ____ a perfect square trinomial. This value is (-4/2)² = 4, so we add and subtract 4 inside the function:
f(x) = x² - 4x + 4 - 12 - 4.
Now we have f(x) = (x - 2)² - 16. Thus, the vertex form of the function is y = (x - 2)² - 16, and the vertex of the parabola is at the point (2, -16).
Phillipa earns $10 for each haircut she gives.
Which equation shows the amount Phillipa will earn if she gives h haircuts?
(Use t to represent the total earned, and h to represent the number of haircuts.)
a. t = 10 + h
b. t = 10h
c.t = 10 – h
d. t = 10/h
Answers
Answer is B, Just some mutiplaction
y=6x+1 for x=5. what is the solution
Answers
Answer: y=31
Step-by-step explanation
If x=5 and y=6x+1, you plug in 5 for x in the equation y=6x+1.
This would cause it to be y=6(5)+1.
Then you multiply 6*5, which equals 30. thatll turn into y=30+1
30+1=31, so y=31
Answer:
Y = 31
Step-by-step explanation:
Replace x with 5
Y = (6*5) + 1
Use PEMDAS
Parentheses
Exponent
Multiplication
Division
Subtraction
Addition
6 * 5 = 30
Y = 30 + 1
30 + 1 = 31
Y = 31
I hope I helped!
Let me know if you need anything else!
~ Zoe
Which of the points A(−6, 2), B(0, 0), C(4, −2), D(−12, 6), E(−10, 10) belong to the graph of direct variation y=− 1/2x?
Answers
Answer:
B
Step-by-step explanation:
To solve this, we can plug in values to see which one works. Since it is a variable equals a variable, the answer is B(0,0)
which equation in slope intercept form contains the point (4, -1) and has a slope of 3
Answers
Answer:
Final answer is [tex]y=3x-13[/tex].
Step-by-step explanation:
Given that slope of the line is m=3
Plug the given point (4,-1) and the slope m=3 into point sloep formula:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-(-1)=3\left(x-4\right)[/tex]
[tex]y+1=3\left(x-4\right)[/tex]
[tex]y+1=3x-12[/tex]
[tex]y=3x-12-1[/tex]
[tex]y=3x-13[/tex]
Which looks like slope intercept form of line y=mx+b
Hence final answer is [tex]y=3x-13[/tex].
The answer is:
The equation in slope-intercept form is:
[tex]y=3x-13[/tex]
Why?To solve the problem and find equation in slope-intercept form of the line, we need to use the following formula:
[tex]y=mx+b[/tex]
We are given the slope of the line, so, rewriting we have:
[tex]y=3x+b[/tex]
Then, to find "b" we need to substitute the given point into the equation, so, substituting we have:
[tex]y=mx+b[/tex]
[tex]-1=3*(4)+b[/tex]
[tex]-1=12+b[/tex]
[tex]b=-1-12=-13[/tex]
Therefore, writing the equation of the line, we have:
[tex]y=3x-13[/tex]
Have a nice day!
Mine A is 225 feet underground and Mine B has an elevation of -223 feet. Which mine is further underground
Answers
Answer: Mine A
Step-by-step explanation: Mine A is further underground because elevation means height and when it’s shows a number that is negative that means underground. 225 is greater than 223. So Mine A is further underground.
Answer:
Step-by-step explanation:
Mine A, Mine B is not even a mine, its negative, not a hole
A deli has five types of meat, two types of cheese,
and three types of bread. How many different
sandwiches, consisting of one type of meat one
type of cheese, and one type of bread, does the deli
serve?
* A25
C) 30
B)--75
D) 10
Answers
Answer:
Step-by-step explanation:
Ms.Willer wanted to donate 27 cans of food to each of 8 food banks.Each of the 23 students donated 9 cans. How many more cans does Ms.Willer need? Explain
Answers
27 multiplied by 8 is 216 so she would need a total of 216 cans. If each of the 23 students brings nine cans (multiple 23 by 9) then she has a total of 207. The difference is 9... so she needs 9 more cans
I WILL GIVE A FREAKING BRAINLIEST!!!!!!!!!!!
JUST ANSWER THE QUESTION PLEEEEEEAAAAAASSSSSSEEEEEEE!!!!!!!!!!!!
A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:
f(t) = −16t2 + 16t + 32
Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?
0.5 < t < 1
0.5 < t < 2
1 < t < 2
1 < t < 1.5
Answers
Answer:
0.5 < t < 2
Step-by-step explanation:
The function reaches its maximum height at ...
t = -b/(2a) = -16/(2(-16)) = 1/2 . . . . . . where a=-16, b=16, c=32 are the coefficients of f(t)
The function can be factored to find the zeros.
f(t) = -16(t^2 -1 -2) = -16(t -2)(t +1)
The factors are zero for ...
x = -1 and x = +2
The ball is falling from its maximum height during the period (0.5, 2), so that is a reasonable domain if you're only interested in the period when the ball is falling.
Karen has a cube that has a length of 6 inches. What is the surface area of this cube?
Answers
Answer:
circle
Step-by-step explanation:
Answer:
216 in²
Step-by-step explanation:
A cube has 6 congruent square faces, thus
area of 1 face = 6 × 6 = 36 in² and
area of 6 faces = 6 × 36 = 216 in²
Need help with this
Answers
Answer:
12.25 ounces
Step-by-step explanation:
There are 7 toys, each weighs 1 3/4 ounces.You do 1 3/4 times 7 to get the total weight.
Answer:
The bag would weigh 12 1/4 ounces.
Step-by-step explanation:
find the geometric mean between 7 and 12
Answers
Answer:9.2
Step-by-step explanation:
A square has a perimeter of 36 units. One vertex of the square is located at (3, 5) on the coordinate grid. What could be the x- and y-coordinates of another vertex of the square?
Answers
Answer:
L=4a which means a = 36/4 = 9
The other vertices could be: (12, 5), (3, 14), (12, 14)
Step-by-step explanation:
Need help I’ll give brain
Answers
Answer:
-17y+16x
Step-by-step explanation:
-3(3y -2x) +2(5x-4y)
Distribute
-9y +6x +10x -8y
Combine like terms
-9y -8y+ 6x+10x
-17y+16x
Answer:
-17y+16x
Step-by-step explanation:
Can someone help me find the rule?
Answers
I think the rule might be x-9
Approximate one of the solutions to the system of equations graphed below?
A)(-3, -3)
B)(0, 5)
C)(3, 0)
D)(4, -5)
Answers
Answer:
Correct choice is D)(4, -5).
Step-by-step explanation:
We have been given a graph of two functions which intersect at some points. Using that graph we need to approximate one of the solutions to the system of equations graphed below. where given choices are:
A)(-3, -3)
B)(0, 5)
C)(3, 0)
D)(4, -5)
From graph we can see that given graphs of red curve and blue curve intersect at two points (-2,0) and (4,-5).
Hence correct choice is D)(4, -5).
what is the volume of a oblique cylinder with a height of 18 and a radius of 10
Answers
Answer:
[tex]V=1,800\pi\ units^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=10\ units[/tex]
[tex]h=18\ units[/tex]
substitute
[tex]V=\pi (10)^{2}(18)[/tex]
[tex]V=1,800\pi\ units^{3}[/tex]
At Camper’s Paradise, sales have increased 15%, 20%, and 10% over the past three years; that is, 15% three years ago, 20% two years ago, and 10% one year ago. If sales this year are $1,000,000, how much were sales three years ago? Round each year’s sales to the nearest dollar.
Answers
Answer:
10000000
Step-by-step explanation:
Evaluate cos 90°. Round your answer to the nearest hundredth if necessary
Answers
Cos(90)= 0.00
It is only zero
The value of cosine 90°. or cos 90° is 0.
What are Trigonometric ratios?Trigonometric ratios are the ratios of the length of sides of a triangle.
In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent.
We know that,
According to the trigonometric table the value of cos 90° is 0.
i.e., cos 90°.
This is because there is no horizontal component of the angle: The horizontal component of the angle is 0, so, the cosine of 90° is 0.
In other words,
the cosine of an angle tells the size of the adjacent side of a right triangle compared to the hypotenuse. Look at the unit circle to see why the adjacent side (the x axis) has a width of 0 when the angle between the initial arm and the terminal arm is a right angle.
Thus, value of cos 90 is 0.
Learn more about trigonometry here:
brainly.com/question/13724581
#SPJ2
plz help me brainliest to whoever answers first.
Answers
Answer:A) n=-6
Step-by-step explanation:
Answer:
n = -6
Step-by-step explanation:
3n + 14 = -4
Subtract 14 from both sides
3n = -18
Divide both sides by 3
n = -6
Shawna can paint a fence in 8 hours. Kevin can paint the same fence in 4 hours. How long will it take them working together? Show all work.
Answers
Answer: 2.66 hours
Step-by-step explanation:
Shawana can paint a fence in 8hours which means in one hour she can paint 1/8 of a fence.
Kevin can paint the same fence in 4 hours, so in one hour he can paint 1/4 of the fence.
Together in 1 hour they can paint 1/8 + 1/4 = 3/8
Total hours for painting is 3/8 or 2.66 hours
The answer is:
The will paint the same fence at the same time in 2.67 hours.
Why?From the statement we know that Shawna can paint a fence in 8 hours while Kevin can paint the same in 4 hours, and we are asked to calculate how long will it take them to paint the fence working together, so, calculating we have:
For Shawna, we have:
[tex]ShawnaRate=\frac{FencePainted}{TimeToPaint}\\\\ShawnaRate=\frac{1fence}{8hours}[/tex]
For Kevin, we have:
[tex]KevinRate=\frac{FencePainted}{TimeToPaint}\\\\KevinRate=\frac{1fence}{4hours}[/tex]
So, the combined work for both Shawna and Kevin will be:
[tex]CombinedWorkRate=\frac{1fence}{8hours} +\frac{1fence}{4hours}\\\\CombinedWorkRate=\frac{4fence.hours+8fence.hours}{32hours^{2}}\\ \\CombinedWorkRate=\frac{12fence.hours}{32hours^{2}}\\\\CombinedWorkRate=\frac{12fence.hours}{32hours^{2}}=\frac{3fence}{8hours}[/tex]
Now, if the want to paint the same fence at the same time, we can calculate it by the following way:
[tex]\frac{3fence}{8hours}=\frac{1fence}{x(hours)}\\\\x=1fence*\frac{8hours}{3fence}=2.67hours[/tex]
Hence, the will paint the same fence at the same time in 2.67 hours.
Have a nice day!
a school cafeteria makes cheese sauce for macaroni using 15 cups of swiss cheese 17 cups of cheddar cheese. Perry tries to make the sauce for a family party using 5 cups of swiss cheese and 7 cups of cheddar cheese. is Perry using the correct ratio? explain. (pls do explain. it's on my school work and I need an explanation.)
(middle school ratios)
Answers
Cafeteria ratio of Swiss cheese to cheddar cheese is 15:17.
Perry’s ratio of Swiss chess to cheddar cheese is 5:7.
Wrong ratio because 5 * 3 = 15 but 7 * 3 does not equal 17.
For this case we have that by definition, it is known as proportion to the relationship of equality that exists between two reasons, that is, between two comparisons. That is: if [tex]\frac {a} {b}[/tex]is a ratio, then the equality [tex]\frac {a} {b} = \frac {c} {d}[/tex] will be a proportion.
Then, 15 cups of Swiss cheese for every 17 cheddar:
1[tex]5:17\\\frac {15} {17}[/tex]
We want to verify the proportion:
[tex]15:17 :: 5: 7\\\frac {15} {17} = \frac {5} {7}\\7 * 15 = 5 * 17[/tex]
Equality is not met!
Answer:
You are not using the correct proportion
Where mBD =70° and mCA = 170°
Answers
Answer:
m∠BPD = 120
mBC + mAD = 120°
Step-by-step explanation:
according to intersecting chord theorem: The measure of the angle formed by two chords that intersect inside the circle is [tex]\frac{1}{2}[/tex] the sum of the chords' intercepted arcs.
m∠BPD = [tex]\frac{1}{2}[/tex] (M∠BD + M∠CA)
= [tex]\frac{1}{2}[/tex] (70 + 170)
= [tex]\frac{1}{2}[/tex] (240)
m∠BPD = 120
We know that a circle has a total of 360° around the center of circle. To find the measure of the remaining measure of angle of arcs, subtract them from the whole that is 360°
mBC + mAD = 360 - ( 70 + 170 )
= 360 - 240
mBC + mAD = 120°