Answer: Jeff is correct.
Step-by-step explanation:
The sum of the two sides of the triangle must greater than the longest side, which in this case, the longest side is 19 feet.
8 + 12 ? 19
20 > 19
Therefore, Jeff is correct.
12. What type of sequence is this? *
1,-6, 36,-216, 1296,...
Arthimetic
Geometric
Neither
Answer:
The sequence is Geometric sequence
find the centre and radius of the following Cycles 9 x square + 9 y square +27 x + 12 y + 19 equals 0
Answer:
Radius: [tex]r =\frac{\sqrt {21}}{6}[/tex]
[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]
Step-by-step explanation:
Given
[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]
Solving (a): The radius of the circle
First, we express the equation as:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where
[tex]r = radius[/tex]
[tex](h,k) =center[/tex]
So, we have:
[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]
Divide through by 9
[tex]x^2 + y^2 + 3x + \frac{12}{9}y + \frac{19}{9} = 0[/tex]
Rewrite as:
[tex]x^2 + 3x + y^2+ \frac{12}{9}y =- \frac{19}{9}[/tex]
Group the expression into 2
[tex][x^2 + 3x] + [y^2+ \frac{12}{9}y] =- \frac{19}{9}[/tex]
[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]
Next, we complete the square on each group.
For [tex][x^2 + 3x][/tex]
1: Divide the [tex]coefficient\ of\ x\ by\ 2[/tex]
2: Take the [tex]square\ of\ the\ division[/tex]
3: Add this [tex]square\ to\ both\ sides\ of\ the\ equation.[/tex]
So, we have:
[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]
[tex][x^2 + 3x + (\frac{3}{2})^2] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]
Factorize
[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]
Apply the same to y
[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y +(\frac{4}{6})^2 ] =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ \frac{9}{4} +\frac{16}{36}[/tex]
Add the fractions
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{-19 * 4 + 9 * 9 + 16 * 1}{36}[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{21}{36}[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{7}{12}[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]
Recall that:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
By comparison:
[tex]r^2 =\frac{7}{12}[/tex]
Take square roots of both sides
[tex]r =\sqrt{\frac{7}{12}}[/tex]
Split
[tex]r =\frac{\sqrt 7}{\sqrt 12}[/tex]
Rationalize
[tex]r =\frac{\sqrt 7*\sqrt 12}{\sqrt 12*\sqrt 12}[/tex]
[tex]r =\frac{\sqrt {84}}{12}[/tex]
[tex]r =\frac{\sqrt {4*21}}{12}[/tex]
[tex]r =\frac{2\sqrt {21}}{12}[/tex]
[tex]r =\frac{\sqrt {21}}{6}[/tex]
Solving (b): The center
Recall that:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where
[tex]r = radius[/tex]
[tex](h,k) =center[/tex]
From:
[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]
[tex]-h = \frac{3}{2}[/tex] and [tex]-k = \frac{2}{3}[/tex]
Solve for h and k
[tex]h = -\frac{3}{2}[/tex] and [tex]k = -\frac{2}{3}[/tex]
Hence, the center is:
[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]
2. Find the GCF of: - 4x^2 and 28x^3
Answer: 4x^2
Step-by-step explanation: Multiply that by -1 to get -4x^2 and multiply by 7x to get 28x^3
Amir has 5 cups of water. He uses it to water 12 plants. Each plant gets
the same amount of water. How much water does each plant get?
Answer:
5/12 cup of water per plant
What is the square root of –16?
A. –8i
B. –4i
C. 4i
D. 8i
Answer:
C. 4i
Step-by-step explanation:
Answer:
C. 4i
Step-by-step explanation:
[tex]\sqrt{-16} = \sqrt{16} \sqrt{-1}[/tex] (because [tex]\sqrt{ab} =\sqrt{a} \sqrt{b}[/tex])
Since [tex]\sqrt{16}[/tex]=4, and [tex]\sqrt{-1}[/tex]=i, [tex]\sqrt{-16}[/tex]=4i
Find the common ratio of the geometric sequence 7,63,567, ...
Answer:
Step-by-step explanation:
Answer: 9
Step-by-step explanation: a, ar, ar^2... a=7, ar=63. solving with substitution gives the common ratio of 9!
which of the following is a polynomial?
Answer:
D.
Step by step explanation:
In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
(Thanks to ueknfiowlmneuYIBKt for helping! His profile is at https://brainly.com/app/profile/39601187)
Hope this helps!
PLEASE HELP ME ASAP I WILL GIVE A BRAINLIST!!!!!!!!!!
Answer:
a.
Mean:70.2
Median:60
Mode:85
b.
The mode best supports her claim as it is the highest of the three.
c.
Her claim is misleading as it doesn't reflect the fact that her scores are declining and that she tends to actually do worse than 85 (most of her scores are below 85)
Step-by-step explanation:
a.
The mean is the sum of all the terms, divide by the amount of terms:
(85+85+60+62+59)/5=351/5=70.2
The median is the middle-most number in the set 85,85,60,62,59: 60
The mode is the most common number in the set 85,85,60,62,59: 85
b.
The mode best supports her claim as it is the highest of the three.
c.
Her claim is misleading as it doesn't reflect the fact that her scores are declining and that she tends to actually do worse than 85 (most of her scores are below 85)
Round to the nearest tenth
Answer:
7.0
Step-by-step explanation:
Tangents form right angles, so AOB is a right triangle.
Now using Pythagorean Theorem (A^2 + B^2 = C^2), plug in the values and solve inversely.
5^2 + B^2 = 8.6^2
25 + B^2 = 73.96
B^2 = 48.96
B = squareroot 48.96
B = 6.997 --> 7.0
Answer: r is 7
Step-by-step explanation:
ABO is a right triangle
[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =8.6^{2} \\25+b^{2} =73.96\\b^{2} =48.96\\b=6.997[/tex]
HELP NEED ANSWER ASAP!
Answer:
I am pretty sure the anwser is 7
Answer:
The median is 7.
Step-by-step explanation:
The median is 7 because, in a box plot, the line inside of the box is the median. That line is over 7 on the number line.
2. Select all expressions that can be subtracted from 9x to result in the expression
3x + 5.
A. -5 + 6x
B) 5 – 6x
С.) 6х +5
D. 6x - 5
E. -6x + 5.
Answer:
D. 6x-5
Step-by-step explanation:
I am not actually 100% but subtracting 6x from 9x will give you 3x and subtracting -5 will give you +5... SOOO. cross your fingers. lol
Verify a - (- b) = a + b for the following values of a and b.
() a = 23, b = 14
(ii) a = 128, b = 105
23 - (-14) = 23 + 14 = 37
128 - (-105) = 128 + 105 = 233
Which graph represents a function with direct variation?
Answer:
Second graph with straight diagonal lines
Step-by-step explanation:
The second graph with straight diagonal lines represents the direct variation
The X and Y axis represents two variables A and B and these two variables in case of second graph with straight lines are directly proportional to each other.
Hence, If value of variable A increases, then value of variable B will also increase
Answer:
I believe it's the third one
explanation:
its one of the only graphs that the line passes through the orgin, and its linear.
Hope it helps and plase forgive me if I'm wrong
Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = cos x, [, 3]
If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that
f '(c) = 0.
(Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)
c =
Answer:
pick faster
Step-by-step explanation:
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
ABC is translated right 5 units and down 5 units
Step-by-step explanation:
The vertices of the original and new triangles haven't moved. Only the triangle as a whole moved from one place to another. The other choices involved reflecting the triangle in which the vertices change locations that are different from their original locations. Hope this helps!
Graph the line.
Y= 4/3 x
Answer:
hope this helps :)
Step-by-step explanation:
The hanger image below represents a balanced equation. Write an equation to represent the image. PLEASE HELP ILL MARK U AS BRAINLIST OR WHATEVER o(*°▽°*)o
Answer:
i think its 3 in all the boxes but trying is better than not ig wait no nvm
A machine is shut down for repairs if a random sample of 100 items selected from the daily output of the machine reveals at least 15% defectives. (Assume that the daily output is a large number of items.) Suppose that a random sample of 20 items is selected from the machine. If the machine produces 5% defectives, find the probability that the sample will contain at least three defectives, by using the following methods.
a. The normal approximation to the binomial
b. The exact binomial tables
my brain can't process this lol
Point X is at 2/3 on a number line. On the same number line, point Y is the sane distance for 0 as point X, but has a numerator of 8. What is the Denominator of the fraction on point Y?
Answer:
12
Step-by-step explanation:
What is the area of this figure? (I give brainliest!)
Answer:
726
Step-by-step explanation:
(22*25)+(16*11)=
550+176=
726
Classify the following triangle. Check all that apply. 60° 8.4 4.2 30" 7.3 A. Acute B. Equilateral C. Obtuse D. Scalene E. Isosceles O F. Right
The given triangle is a right triangle and a scalene triangle.
What is a scalene triangle?A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all internal angles, however, is always equal to 180 degrees. As a result, it satisfies the triangle's condition of angle sum.
It does not have equal sides. No equivalent angles exist. It lacks a symmetry line. No point symmetry exists. This triangle can have acute, obtuse, or right angles inside of it.
In the given triangle we see that one angle measure is 90 degrees thus, the triangle is a right triangle.
Also, all the sides of the triangle have different lengths. thus the triangle is also a scalene triangle.
Learn more about scalene triangle here:
https://brainly.com/question/26086362
#SPJ1
A fair spinner has the numbers 1-4. What is the theoretical probability of getting a 2
Answer:1-5
Step-by-step explanation:Assuming the spinner is numbered 1–5 and has an equal chance of landing on any number, you have two independent probabilities, each 1 in 5.
Just multiply those: 1/5 * 1/5 = 1/25. You have a 4% chance of getting 2 twice.
Of course, if there’s anything special about spinning “2”, you’ll be keyed to watch for it after getting 2 the first time. Now there’s a 20% chance (1 in 5) you’ll spin it again, and you’ll be very excited that you got 2 twice in a row. Another way of saying that is that the probability of something that has already happened is 100%.
Lodging is $75.00 per night. Find the cost of three nights and 7% sales tax.
Answer: $240.75
Step-by-step explanation:
A publisher has orders for 600 copies of a certain text from San Francisco and 400 copies from Sacramento. The company has 700 copies in a warehouse in Novato and 800 copies in a warehouse in Lodi. It costs $5 to ship a text from Novato to San Francisco, but it costs $10 to ship it to Sacramento. It costs $15 to ship a text from Lodi to San Francisco, but it costs $4 to ship it from Lodi to Sacramento. How many copies should the company ship from each warehouse to San Francisco and Sacramento to fill the order at the least cost
Answer:
Ship : 600 copies from Novato and 400 copies from Lodi to fulfill order at least cost ( $4600 )
Step-by-step explanation:
Order size :
600 Copies of texts from San Francisco and
400 Copies of texts from Sacramento.
Available notes in the company
700 copies of texts in Novato
800 copies of texts in Lodi
Cost of sending copies of texts
Novato to San Francisco = $5
Novato to Sacramento = $10
Lodi to San Francisco = $15
Lodi to Sacramento = $4
considering Novato
700 copies are available hence the the least cost will be
600 * $5 ( to Francisco ) = $3000
considering Lodi
800 copies are available hence the least cost will be
400 * $4 ( to Sacramento ) = $1600
Therefore the least cost = $3000 + $1600 = $4600
In order to play on the 7th-grade basketball team, you must buy a team uniform. Last year a uniform cost $40, but this year a uniform cost $48. What is the percent of change?
-IMPORTANT-
show work please and thanks
Answer:
1/6 or 16.666%
Step-by-step explanation:
8/48 and there is your answer.
Question 6
Simplify the following expression.
-3 + 4a - 3b + 2) - 5(2-a + 3b)
13. Ochieng had sh. 250 as pocket money at the beginning of the term. In the middle of the
term, he was left with 2/5 of this amount. How much did he spend?
Answer:
sh.150.00
Step-by-step explanation:
2÷5×250
=100
250-100
=150
PLLS HELP I HAVE BEEN ASKING FOR 2 DAYS NOBODY HAS HELPED ME PLSSS OMG IM CRYING I WILL GIVE BRAINLIEST
Answer:
D. -(22/4)
Step-by-step explanation:
22/-4= -5.5
-(22/4)= -5.5
Mr. Jamison bought a toaster oven that was originally priced at
$89. He received a 20% discount. What is the sale price of the
toaster oven?
please help
Answer: $71.20
Step-by-step explanation: 20% discount means 20% of the original price is subtracted from the original price, so to find 20% of the original price multiply 89 by 0.2 and you will get 17.8. Subtract the 17.8 from 89 and you get the answer, $71.20!
A park is rectangular with a length of 2/3
miles. If the area of the park is 3/9
square miles, what is its width? Input your answer as a fraction.
Answer:
Step-by-step explanation:
let : x the width
the area is 2/3 × x =3/9
x = (3/9)×3/2
x =1/2 miles
