URGENT HELP!!!
Factorise x²+12x+180
With middle term splitting method, or factorising by grouping
The quadratic expression cannot be factorized, because the discriminant is less than 0
How to factorize the expression?The expression is given as:
x²+12x+180
Calculate the discriminant of the expresison using:
D = B² - 4AC
So, we have:
D = 12² - 4* 1 * 180
Evaluate
D = -576
Because the discriminant is less than 0, then the expression cannot be factorized
Read more about quadratic expressions at:
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Which equation represents the solution of x^3 = 72?
Find the circumference and area of the circle to the nearest hundredth. Use 3.14 for π. Round to the nearest hundredth if necessary.
54 cm
The circumference of the circle is about
cm.
The area of the circle is about
cm2.
The circumference of the circle is about 339 cm.
The area of the circle is about 9, 156 cm∧ 2
NOTE :
The circumference of a circle is known to be the perimeter of the circle.
It is determined using ;
Circumference, C = 2 π r
The area of a circle is known to be the axis occupied by the circle in a two-dimensional plane.
It is determined using ;
Area, A = π r ∧2
How to determine the area and circumference of a circle
Parameters:
π = 3.14
radius, r =54 cm
Circumference, C = 2 π r = 2 × 3.14 × 54 = 339. 12 cm
Circumference , C in the nearest hundredth = 339 cm
Area, A = π r∧ 2 = 3. 14 × 54 × 54 = 9,156.24 cm∧ 2
Area, A in the nearest hundredth = 9,156 cm∧2
Thus, the circumference of the circle in the nearest hundredth is 339cm and the area of the circle in the nearest hundredth is 9, 156 cm∧2
Please help fast. Need soon!
I have absolutely no idea what to do here. Can someone break this down for me please?
Answer:
Step-by-step explanation:
The task is to draw the parabola of the equation [tex]x^{2} -4x+4[/tex] on the given graph.
The first step we can take to doing this is to use the table on the left hand side to work out our x and corresponding y-values to use as plotting coordinates. To do this you want to substitute the given value for x which will give you a corresponding y-value.
E.g:
x | [tex]x^{2} -4x+4[/tex] | y
0 | [tex](0)^{2} -4(0)-4[/tex] | -4
Here we have gotten the coordinates (0, -4) so this will be a point on the graph.
Repeat with all other values on the table and you should get a bunch of dots which lead upwards in a curved line from a point. Extend the lines to form a parabola shape (A u-shape).
Once you have drawn the graph, label the parts.
Roots: The places where the line crosses the x-axis
Vertex: The lowest point of the parabola
Line of symmetry: The vertical line in which the parabola reflects/ is the same either side (Has equation x=_).
y-intercept: The point where the line crosses the y-axis.
Hope this helped!
help!
Giving brainiest
Answer:
1) 9y^10
2) 560u^16 v^15
Step-by-step explanation:
You travel 10 miles north and then 3 miles west.
How many miles are you from your starting location?
Round your answer to the nearest tenth.
Hunter misses 10% of the free throws he attempts in a season. How many total free throws did he attempt if he missed 54?
Answer:
540
Step-by-step explanation:
If you divide 540 by 100 (100%) you get 5.4 then multiply it by 10 (10%) to get 54 again. THIS WAS TO CHECK TO GET: 10% or 100% is 10 so multiply 54•10=540
Hope this helps! ;-)
Divide.
3.9 ÷ 100,000
Enter your answer as a decimal in the box.
i dont know what to do here
Answer: 0.000039
Step-by-step explanation: i us calculator
Answer:
0.000039.
Step-by-step explanation:
3.9 / 100,000
Move the decimal point 5 places to the left ( as there are 5 0's in 100,000)
filling in the zeroes as you move alomg.
So its 0.000039
help need to pass class and iready
Answer:
[tex]\Large\boxed{\sf{y > 32}}[/tex]Step-by-step explanation:
To get the final answer, isolate the variable y on one side of the equation.
1/4y≥8First, multiply by 4 from both sides.
[tex]\Longrightarrow: \sf{4*\dfrac{1}{4}y\geq 8*4 }[/tex]
Solve.
8*4=32
[tex]\boxed{\sf{y\geq 32}}[/tex]
Therefore, the correct answer is D.I hope this helps, let me know if you have any questions.
can someone help me on this question pls and thank you
Answer:
(c) 2205 cm³
Step-by-step explanation:
The volume of the original prism is the product of its dimensions. The volume of one of two identical pieces will be half that.
__
prism volumeV = LWH
V = (21 cm)(21 cm)(10 cm) = 4410 cm³
piece volumeEach piece will have a volume that is half that:
V = 4410 cm³ ÷ 2 = 2205 cm³ . . . volume of each part
i need help with this
How many solutions does this equation have?
–9d + 4 = –4 − 10d
Answer:
One Solution
Explanation:
–9d + 4 = –4 − 10dchange sides
–9d + 10d = -4 - 4one solution ↓
d = -8Answer:
One solution
Step-by-step explanation:
When solving for d, you get d = - 8
The annual salaries of all employees at a financial company are normally distributed with a mean Mu = $34,000 and a standard deviation Sigma = $4,000. What is the z-score of a company employee who makes an annual salary of $28,000?.
Answer:
see the attachment.
Answer:
C, -1.5
Step-by-step explanation:
edge
Which of the following is true?
A. Since the slope of AD equals the slope of CB and the slope of DB equals the slope of CA, the
figure is a rectangle.
B. Since both pairs of opposite sides are of equal length, the figure is á square
C. Since AB=CD= 141, the figure is a rectangle.
D. Since AB=CD= 141, the figure is a square.
Answer:
C. Since AB = CD = √41, the figure is a rectangle.
Explanation:
All of them AD, CB, DB, CA have a slope of 0.
Here measure the length units, 5 units horizontal and 4 units vertical. Thus we can conclude it is a rectangle.
Find diagonal Length:
√(x2-x1)² + (y2-y1) = Length from points measure.√(5-0)² + (4-0)² [insert following coordinates]√25 + 16 [simplify]√41 [final answer]Since AB = CD = √41, the figure is a rectangle.
What is the sum of Triangle exterior angle sum with formula
Answer:
Exterior angle = sum of opposite interior angles
Step-by-step explanation:
What is the next step in solving this augmented matrix using the gauss-jordan elimination method? a. convert the matrix to the linear system form. b. divide r2 by 2 and r3 by 3. c. the matrix is solved. d. this is an inconsistent matrix that cannot be solved. e. divide r1 by 2 and r3 by 3.
Based on the Gauss-Jordan Elimination method, and the matrix given, the next step would be to b. divide R2 by 2 and R3 by 3.
What is the next step in the Gauss-Jordan Elimination method?The first row has already gone as low as it can so rows two and three need to be worked on.
The best way to do this is to divide Row 2 by 2 and Row 3 by 3. This then leads to the augmented matrix becoming:
[1 0 0 I 5]
[0 1 0 I 4]
[0 0 1 I 3]
In conclusion, option B is correct.
Find out more on the Gauss-Jordan Elimination method at https://brainly.com/question/12090959.
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Please awnser :))))))))
Answer:
See figure below.
Step-by-step explanation:
Since the dilation is 1/5 with respect to the origin, divide each x- and y-coordinate by 5 to find the new points. Then plot them. See figure below.
Find the slope of the line that passes through (10, 7) and (3, 15).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
(y2-y1/x2-x1)
a. -7/8
O b.-8/7
Oc. -1
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Find the slope of the line that passes through (10, 7) and (3, 15).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We can find the slope using the following formula:-
[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]
Replace the letters with numbers:-
[tex]\boxed{\frac{15-7}{3-10}}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\boxed{\frac{8}{-7}}[/tex]
[tex]\bigstar[/tex] The slope is
[tex]\boxed{-\frac{8}{7}}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Which of the following could be calculated using the Pythagorean theorem? Select all that apply.
area of a circle
length of an arch
height of a building
distance to an airport
size of a window pane
Answer: height of a building
Step-by-step explanation:
a^2 + b^2 = c^2
used for finding missing side angle of a triangle
please i will give brainliest if right
Answer:
s = 132 square cm
Step-by-step explanation:
s = area of base + area of lateral faces
Area of base (triangle)
A = 1/2bh
A = 1/2(3)(4)
A = 1/2(12)
A = 6
There are two bases (triangles), so multiply the answer by 2.
6 x 2 = 12
Area of lateral faces (3 rectangles)
First rectangle:
A = lw
A = 5(10)
A = 50
Second rectangle:
A = lw
A = 4(10)
A = 40
Third rectangle:
A = lw
A = 3(10)
A = 30
Add all the areas together.
s = 12 + 30 + 40 + 50
s = 132 square cm
Help me i am on iready math
Answer:
14
Step-by-step explanation:
Because your total is 182 desserts and you want to arrange them into 13 rows you will divide the two numbers. So, 182/13 is 14. so 14 is your answer.
Hope that helped
Answer:
14 Tropical cupcakes per row
Hope this helped :)
Step-by-step explanation:
182 ÷ 13 = 14
Check:
14 × 13 = 182 ✓
Can someone come up with something easy for me to memorize mode and mean and range and median pls . Im having finals and I need help
Answer:
Mean-average
Median-middle
Mode-Most Often Digit Entered (Most Common Digit)
Range-Least To Greatest
Step-by-step explanation:
Question 21:
Name the angle:
Answer: Either angle QPO or angle OPQ
Explanation:
When naming an angle, we always have the vertex as the middle letter. That vertex is P. It's where the two rays are joined.
So we could have the name "angle QPO" or "angle OPQ" since the order of the other letters doesn't matter. All that we care about is P is in the middle.
Here's the question, please help!
#1
x²/2+y²/3(2sint)²/2+(3sint)²/34sin²t/2+9sim²t/32sin²t+3sim²t5sin²tFalse
#2
x²+y²4sin²t+9sin²t13sin²tFalse
#3
3x²+2y²3(4sin²t)+2(9sin²t)12sin²+18sin²t30sin²tFalse
None of the above
Answer:
None of these
Step-by-step explanation:
To convert the parametric curve into Cartesian form,
rewrite the equation for [tex]x[/tex] to make [tex]\sin t[/tex] the subject:
[tex]x=2\sin t[/tex]
[tex]\implies \sin t=\dfrac{x}{2}[/tex]
Substitute this into the given equation for [tex]y[/tex]:
[tex]\begin{aligned}y & =3 \sin t\\\implies y & = 3 \left(\dfrac{x}{2}\right)\\y& = \dfrac{3}{2}x\end{aligned}[/tex]
Therefore, the Cartesian form of the parametric curve is:
[tex]y=\dfrac{3}{2}x[/tex]
Further Information
[tex]\dfrac{x^2}{2}+\dfrac{y^2}{3}=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]
[tex]\textsf{with center (0, 0), co-vertex }\sf \sqrt{2}, \textsf{ and vertex }\sqrt{3}[/tex]
[tex]x^2+y^2=6 \quad \textsf{is the equation of a circle}[/tex]
[tex]\textsf{with center (0, 0) and radius }\sf \sqrt{6}[/tex]
[tex]3x^2+2y^2=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]
[tex]\textsf{with center (0, 0), co-vertex }\sf \dfrac{\sqrt{3}}{3}, \textsf{ and vertex }\dfrac{\sqrt{2}}{2}[/tex]
A table of values, rounded to the nearest hundredth, for the function y = is given for
0≤x≤8.
What is the average rate of change of the function over the interval [2, 7] to the nearest
hundredth?
Answer:
A) [tex]0.13[/tex]
Step-by-step explanation:
If a function [tex]f(x)[/tex] is continuous over the interval [tex][a,b][/tex], then the average rate of change over that interval is [tex]\displaystyle \frac{f(b)-f(a)}{b-a}[/tex]:
[tex]\displaystyle \frac{f(b)-f(a)}{b-a}\\\\\frac{f(7)-f(2)}{7-2}\\ \\\frac{1.91-1.26}{5}\\ \\\frac{0.65}{5}\\ \\0.13[/tex]
Thus, the average rate of change over the interval [tex][2,7][/tex] to the nearest hundredth is [tex]0.13[/tex].
In Exercises 3–8, use the box-and-whisker plot to find the given measure.
Answer:
3. The least value is 3.
4. The greatest value is 14.
5. The third quartile is 11
6. The first quartile is 6
7. The median is 8.
8. The range is 3-14.
Step-by-step explanation:
A store is giving out cards labelled 1 through 10 when customers enter the store. If the card is an even number, you get a 10% discount on your purchase that day. If the card is an odd number greater than 6, you get a 40% discount. Otherwise, you get a 20% discount. The table shows the results of 400 customers. What is the relative frequency for each discount? Use pencil and paper. If the manager of the store wants to approximately half of the customers to receive the 20% discount, does this seem like an appropriate method? Explain.
Answer:
Relative frequency for each discount :
10% - 0.4925, 20% - 0.3325, 40% - 0.175
Since only 33.25% of customers got 20% discount, it is not an appropriate method.
Step-by-step explanation:
relative frequency = number of frequency/total number of frequency
you can find out relative frequency for each number and add them up to get relative frequencies of discounts.
Solve -3(x - 4) > -2x + 5
Answer:
x<7
Step-by-step explanation:
-3(x - 4) > -2x + 5 Distribute
-3x+12>-2x+5 Subtract 12 from both sides
-3x>-2x-7 Add 2 to both sides
-5x>-7 Simplify
x<7
Answer:
x < 7.
Step-by-step explanation:
-3(x - 4) > -2x + 5
-3x + 12 > -2x + 5
-3x + 2x > 5 - 12
-x > -7 Note: we divide by -1 so the sign flips:
x < 7.
X/3 + 1 = ×/8 + 1/11
solve the question please pls
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
the following expression can be solved as follows ~
[tex] \frac{x}{3} + 1 = \frac{x}{8} + \frac{1}{11} \\ [/tex]
Taking LCM on both the sides ,
[tex] \frac{x + 3}{3} = \frac{11x + 8}{88} \\ [/tex]
On cross multiplying ,
[tex]( x + 3)88 = (11x + 8)3 \\ \\ \implies \: 88x + 264 = 33x + 24[/tex]
let's now gather the like terms at either sides of the equation and solve ~
[tex]88x - 33x = 24 - 264 \\ \\ \implies \: 55x = - 240 \\ \\ \implies \: x = \cancel\frac{ - 240}{55} \\ [/tex]
on further simplifying ,
[tex]\implies x = \frac{ - 48 }{ 11} \\ [/tex]
hope helpful ~
