9514 1404 393
Answer:
center: (0, 3)radius: 2√2Step-by-step explanation:
The equation can be put into standard form by "completing the square" for each variable. The x-term is already a square, so we need do this only for the y-term.
x^2 +(y^2 -6y) = -1
x^2 +(y^2 -6y +9) = -1 +9 . . . . . . add (-6/2)^2 to complete the square
x^2 +(y -3)^2 = 8 . . . . standard form equation
__
Comparing the above equation to the form:
(x -h)^2 +(y -k)^2 = r^2 . . . . . . . circle centered at (h, k), radius r
we see that (h, k) = (0, 3) and r^2 = 8 ⇒ r = 2√2.
The center point is (0, 3); the radius is 2√2.
What is the first step to solve the following system of equations using substitution?
ſ 3.x+y= 15
5x – 3y = 11
Answer:
multiply 3 to the second eqn
1.
Mr Rankhakile receives a statement from the bank every month with regards to the
vehicle he purchased.
The cash price of the vehicle was R151 140 but since Mr Rankhakile didn't have
enough money in cash, he bought the car on hire-npurchase. An example of one of his
statements is given in ANNEXURE A. Study ANNEXURE A and answer the
questions that follow. Write down the street name used on this statement
-#(1(1+#&$:3:+343;2()1-^|•{`}÷~^¢™¢
what is 286,713 rounded to the nearest ten thousand?
Answer:
290,000
Step-by-step explanation:
sorry if wrong
A parking lot has 30 cars and 12 trucks. Find the ratio of cars to trucks.
Answer:
::::::::::::::::::
5:2
i will give BRAINLIEST!!! middle school math...
On a coordinate grid, point is at (2, 1) and point Ris at (-6, -5) Points Q and S are a reflection of both points across the x-axis. What are the coordinates of Q and S? O Q(2, -1), S(-6,5) O Q(-2, 1), S(6,-5) O Q(-2, -1), S(6,5) O Q(-2, 1), S(-6, 5)
Answer:
Solution given:
A(x,y))----reflection about x axis--->A'(x,-y)
P(2,1)---reflection about x axis----->Q(2,-1)
R(-6,-5)----reflection about x axis-->S(-6,5)
Answer:
A. Q(2, -1), S(-6,5)Step-by-step explanation:
Reflection rule across the x-axis:
(x, y) → (x, -y)P(2, 1) → Q(2, -1)R(-6, -5) → S(-6, 5)Correct choice is A
Determine the degree of the polynomial 49xy+34y−72z.
The polynomial 49 · x · y + 34 · y - 72 · z has three variables (x, y, z) and each of these variables has a degree of 1.
How to determine the degree of a polynomial
Variables and degrees are the most important features in polynomials. A variable is a letter that represents at least one value of an expression and the degree of the variable is the maximum number of the exponent associated to the variable. According to the statement, the polynomial has three variables (x, y, z), each of them has an degree of 1, that is:
grade (x) = 1, grade (y) = 1, grade (z) = 1
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PLS HELP ASAP!!!!!!!!!!!
2nd one
I don't take animal biology/zoology or whatever but I think it's just a long winded version of saying camouflage
Answer:
I am pretty sure the answer is B. (The second one)
Step-by-step explanation:
What is the area of a circle with a radius of 1 foot?
Answer:
C. π ft ²
Step-by-step explanation:
:)
Answer:
c. 3.14^2
Step-by-step explanation:
A= pi × R^2
have a good day
The graphs of triangles LMN and NOP are shown.
which of the following best describes the slope of line LP?
A) 5/2
B) 2
C) 2/5
D) 1/3
===========================================================
Explanation:
Point L is located at (-8, 1) while P is at the point (7,7)
Let's apply the slope formula for these two points
m = (y2-y1)/(x2-x1)
m = (7-1)/(7-(-8))
m = (7-1)/(7+8)
m = 6/15
m = (3*2)/(3*5)
m = 2/5 is the slope of line LP
A slope of 2/5 means that each time you go up vertically 2 units (rise), you move to the right 5 units (run). In short, it's "up 2, over to the right 5". A positive slope means we move upward as we move from left to right.
I arrive at a bus stop at a time that is normally distributed with mean 08:00 and SD 2 minutes. My bus arrives at the stop at an independent normally distributed time with mean 08:05 a.m. and SD 3 minutes. The bus remains at the stop for 1 minute and then leaves. What is the chance that I miss the bus
Answer:
0.0485 = 4.85% probability that you miss the bus.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
When two normal distributions are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
In this question:
We have to find the distribution for the difference in times between when you arrive and when the bus arrives.
You arrive at 8, so we consider the mean 0. The bus arrives at 8:05, 5 minutes later, so we consider mean 5. This means that the mean is:
[tex]\mu = 0 - 5 = -5[/tex]
The standard deviation of your arrival time is of 2 minutes, while for the bus it is 3. So
[tex]\sigma = \sqrt{2^2 + 3^2} = \sqrt{13}[/tex]
The bus remains at the stop for 1 minute and then leaves. What is the chance that I miss the bus?
You will miss the bus if the difference is larger than 1. So this probability is 1 subtracted by the pvalue of Z when X = 1.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1 - (-5)}{\sqrt{13}}[/tex]
[tex]Z = \frac{6}{\sqrt{13}}[/tex]
[tex]Z = 1.66[/tex]
[tex]Z = 1.66[/tex] has a pvalue of 0.9515
1 - 0.9515 = 0.0485
0.0485 = 4.85% probability that you miss the bus.
Which expression is equivalent to 16+2·36?
f 2^4 + 2^3 ⋅ 3^2
g 2^3 + 2^3 ⋅ 3^2
h 2^4 + 2^2 ⋅ 3^2
j 2^3 + 2^2 ⋅ 3^3
9514 1404 393
Answer:
f 2^4 + 2^3 ⋅ 3^2
Step-by-step explanation:
16 +2·36 = 16 +2·4·9 = 16 +8·9
= 2^4 + 2^3 · 3^2 . . . . . matches choice F
_____
Since you're familiar with your multiplication tables, you know ...
4 = 2·2
8 = 2·4 = 2·2·2 = 2^3
16 = 2·8 = 2·2·2·2 = 2^4
9 = 3·3 = 3^2
36 = 4·9
The exponent signifies repeated multiplication.
Answer:
f 2^4 + 2^3 ⋅ 3^2
Step-by-step explanation:
5 características importantes Sobre la reproducción que se realiza a través de las flores
Answer:
No one here speaks spanish-
Step-by-step explanation:
how do you prove each of the following theorems using either a two-column paragraph or flow chart proof?
triangle sum theorem-
triangle inequality theorem-
isosceles triangle theorem-
converse of the isosceles triangle theorem-
midsegment of a triangle theorem-
concurrency of medians theorem-
Answer:
Step-by-step explanation:
1) The Triangle Sum Theorem states that the sum of the angles in a triangle = 180°
2) The triangle inequality theorem states that the sum of any two sides of a triangle is larger than the third side
3) Isosceles triangle theorem states that the angles opposite the equal sides of an isosceles triangle are congruent
4) Converse of the Isosceles theorem states that the sides opposite the equal angles of an isosceles triangle are congruent
5) Midsegment of a triangle theorem states that the midsegment of two sides of a triangle is equal to half of the side it is parallel to
6) Concurrency of medians theorem states that the medians of a triangle intersect at a point within the triangle
Step-by-step explanation:
1) The Triangle Sum Theorem states that the sum of the angles in a triangle = 180°
Proof: To draw a triangle ABC starting from the point A we move 180° - ∠A to get to ∠B
From ∠B we turn 180° - ∠B to get to ∠C and from ∠C we turn 180° - ∠C to get back to A we therefore have turned 360° to get to A which gives;
180° - ∠A + 180° - ∠B + 180° - ∠C = 360°
Hence;
- ∠A - ∠B - ∠C = 360° - (180°+ 180°+ 180°) = -180°
-(∠A + ∠B + ∠C) = -180°
∴ ∠A + ∠B + ∠C = 180°
2) The triangle inequality theorem states that the sum of any two sides of a triangle is larger than the third side
Proof: Given ΔABC with height h from B to D along AC, then
AC = AB×cos∠A + CB×cos∠C
Since ∠A and ∠C are < 90 the cos∠A and cos∠C are < 1
∴ AC < AB + CB
3) Isosceles triangle theorem
Where we have an isosceles triangle ΔABC with AB = CB, we have by sine rule;
Therefore;
sin(C) = sin(A) hence ∠A = ∠C
4) Converse of the Isosceles theorem
Where we have an isosceles triangle ΔABC with ∠A = ∠C, we have by sine rule;
Therefore;
sin(C) = sin(A) hence AB = CB
5) Midsegment of a triangle theorem states that the midsegment of two sides of a triangle is equal to half of the side it is parallel to
Given triangle ABC with midsegment at DF between BA and BC respectively, we have;
in ΔABC and ΔADF
∠A ≅ ∠A
BA = 2 × DA, BC = 2 × FA
Hence;
ΔABC ~ ΔADF (SAS similarity)
Therefore,
BA/DA = BC/FA = DF/AC = 2
Hence AC = 2×DF
6) Concurrency of Medians Theorem
By Ceva's theorem we have that the point of intersection of the segments from the angles in ΔABC is concurrent when the result of multiplying ratio the ratios of the segment formed on each of the triangle = 1
Since the medians bisect the segment AB into AZ + ZB
BC into BX + XB
AC into AY + YC
Where:
AZ = ZB
BX = XB
AY = YC
We have;
AZ/ZB = BX/XB = AY/YC = 1
∴ AZ/ZB × BX/XB × AY/YC = 1 and the median segments AX, BY, and CZ are concurrent (meet at point within the triangle).
PLZ MARK ME BRAINLY
A company has to buy computers and printers. Each computer, x, costs $550 and each printer, y, costs $350. If the company spends $8,800 and buys a total of 20 machines, how many of each did it buy?
Enter a system of equations to represent the situation, then solve the system.
Answer:
The company bought 9 computers and 11 printers.
Step-by-step explanation:
Given that a company has to buy computers and printers, and each computer, x, costs $ 550 and each printer, y, costs $ 350, if the company spends $ 8,800 and buys a total of 20 machines, to determine how many of each did it buy the following calculation must be performed:
20 x 550 + 0 x 350 = 11,000
15 x 550 + 5 x 350 = 10,000
10 x 550 + 10 x 350 = 9,000
9 x 559 + 11 x 350 = 8,800
Thus, the company bought 9 computers and 11 printers.
helppp meee plsss i’m begging
Answer:
y = 9
Step-by-step explanation:
The 2nd term of an exponential sequence is 9 while the 4th term is 81.find the common ratio,the first term and the sum of the first five terms of the sequence
Answer:
second term: 9
4th term:81
[tex](3rd \: term)^{2} = 9 \times 81[/tex]
=729
[tex] \sqrt{729} = 27[/tex]
3rd term=27
[tex] {9}^{2} = a1x27 \\ 81 = 27a1[/tex]
a1=3 the first term
[tex]81 = 3 \times {q}^{3} [/tex]
[tex] {q}^{3} = 27[/tex]
q=3
[tex]s = 3x \frac{1 - {3}^{5} }{1 - 3} = 364.5[/tex]
NEED HELP ASAP PLEASE PLEASE PLEASE
Answer:
tanθ=1.17
Step-by-step explanation:
please see the attachment below
Select all the conditions for which it is possible to construct a triangle. A triangle with side lengths 4 cm, 5 cm, and 15 cm A triangle with side lengths 5 cm, 5 cm. and 10 cm. A triangle with side lengths 3 cm. 5 cm. and 7 cm A triangle with side lengths 4 cm, 5 cm. and 6 cm.
9514 1404 393
Answer:
A triangle with side lengths 3 cm. 5 cm. and 7 cm A triangle with side lengths 4 cm, 5 cm. and 6 cm.Step-by-step explanation:
The sum of the short two sides must exceed the length of the longest side. That is not the case for lengths {4, 5, 15} or {5, 5, 10}.
Triangles can be formed from {3, 5, 7} and {4, 5, 6}.
Find the volume of the rectangular prism.
Volume =
_in?
7 in.
10 in.
7 in.
Answer:
490 in.^3
Step-by-step explanation:
volume = length * width * height
volume = 7 in. * 10 in. * 7 in.
volume = 490 in.^3
Volume = edge^(3).
Volume = (7)(10)(7) inches
Volume = 490in^3
What is the pressure of 0.5 moles of oxygen gas in a 1.50L container at -37°C?
Answer:
volved with elements and compounds composed of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during a reaction with other substances.
The cost per guest of catering an event of no more than 100 people is modeled by the function f(x) = 20 + 5x. The number of guests is modeled by the function g(x) = 100 −x , where x represents the number of guests fewer than 100 that attend. Evaluate(f ∙g )(18) and interpret what it means in the context of the problem.
Answer:
430 is the cost of catering 18 less than 100 guests.
Step-by-step explanation:
f(g(18))=f(100-18)=f(82)=20+5*82=430
[tex]x {}^{2} - 2ax + a {}^{2} - b = 0[/tex]
Answer:
The answer is the last line.
Step-by-step explanation:
Use the quadratic formula
a = 1
b = -a
c = a^2 - b
x = -b +/- sqrt(b^2 - 4ac)
=================
2a
x = a +/- sqrt(a^2 - 4(1)*(a^2 - b)
========================
2
x = a +/- sqrt(a^2 - 4a^ + 4b)
=====================
2
x = a +/- sqrt(4b - 3a^2)
===================
2
f) 2(x +3) = 8 - 3 (x-4)
Answer: x = 14/5. Because first we Distribute and get 2x + 6 = 8 - 3(x-4) then, we Distribute it again 2x + 6 = 8 - 3x + 12 then we Add the numbers and get 14/5
Answer:
x = 2.8Step-by-step explanation:
2(x +3) = 8 - 3 (x-4)
=> 2x + 6 = 8 - 3x + 12
=> 2x + 3x = 8 - 6 + 12
=> 5x = 14
[tex] = > x = \frac{14}{5} [/tex]
=> x = 2.8 (Ans)
TIMED WILL GIVE BRAINLYIST
Answer:
D)
Step-by-step explanation:
TY is a ray.
FR is a segment.
Ray TY intersects segment FR at point P.
Answer: D)
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: TY intersects FR at point P
Explanation:
I hope this helped!
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- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Mrs. Rayo cut one piece of pie as shown in the drawing.
From the first cut to the second cut, she rotated the knife
60 one-degreee turns.
second cut
o
first cut
What is the measure of the angle formed by the piece of
pie?
40°
60°
100°
O 180°
Answer:
60°
Step-by-step explanation:
She rotated the knife 60° so the second cut will make an angle of 60° to the first cut.
What is the largest six digit number
you can make that has a 1 in the
thousands place?
Answer:
dwjoqwejo;fjoqfjop
Step-by-step explanation:
Please help me and actually give me a proper answer pleaseeee I beg youuuu
Answer:
A
Step-by-step explanation:
To figure out when the object hit the ground you need to set h(t)=0, after this you need to find the number that when it is plugged in for t makes the equation equal to 0
greg is at a used bookstore. Paperback books cost $1 each, and hardcover books cost $2 each. Greg can spend up to $20 in all. Write and inequality that represents this situation. Let x be the number of paperback books, and let y be the number of hardcover books.
Step-by-step explanation:
Cost of paperback books = $1x = $x
Cost of hardcover books = $2y
Given Greg can spend a MAXIMUM of $20,
Cost of Paperback books + Cost of hardcover books must be at most 20.
Inequality of this situation =
[tex]x + 2y \leqslant 20[/tex]
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 134 millimeters, and a standard deviation of 8 millimeters. If a random sample of 44 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters? Round your answer to four decimal places.
; 134
a:8
n:44
3.6
3.6
P,ob.Z);Jlty : 1 - P(:
<z<-
[ - ]]p(-2.98 ' z ' 2.98)]
[ -]p(z ' 2.98) - p(z ' -2.98)]
[ - E0.9986 - 0.0014]
=0.0028
The probability that the sample mean would differ from the population mean by greater than 3.6 millimeters is approximately 0.0014.
To determine the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters, we can use the Central Limit Theorem and assume that the sample mean follows a normal distribution.
Given:
Mean diameter of the population (μ) = 134 millimeters
Standard deviation of the population (σ) = 8 millimeters
Sample size (n) = 44
Difference from the population mean (d) = 3.6 millimeters
To find the probability, we need to calculate the z-score and then find the corresponding area under the normal curve.
First, calculate the standard error of the mean (SE):
SE = σ / sqrt(n)
SE = 8 / sqrt(44) ≈ 1.206
Next, calculate the z-score using the formula:
z = (x - μ) / SE
For a difference of 3.6 millimeters, we have:
z = (3.6 - 0) / 1.206 ≈ 2.988
Using a standard normal distribution table or a calculator, we can find the area to the right of the z-score (greater than 2.988). The area represents the probability.
P(z > 2.988) ≈ 0.0014
Rounding to four decimal places, the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters is approximately 0.0014.
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select the graph for the solution of the open sentence click until correct graph appears [×]>1
Is there supposed to be a picture or a multi choice answer because there is none.Sorry