Answer:
(x - 3)^2 + (y - 6)^2 = 17
Step-by-step explanation:
The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.
(x - 3)^2 + (y - 6)^2 = 17
40
in.
in?
What is the area of this trapezoid?
b2 = 5 in.
h = 4 in.
2 in.
3 in.
b = 10 in.
A quadrilateral has interior angles a, 112 degrees, 97 degrees, and 83 degrees. Find the missing angle measure in the quadrilateral. 83° + 97° + a° + 112° = 360° 292° + a° = 360° The measure of the missing angle is °.
Answer:
The missing angle is 68 degrees
Step-by-step explanation:
If f(x) = x is changed to g(x) = -f(x + 3) + 2, how is the graph transformed?
Answer:
f(x) is flipped, and each point is moved 3 units to the left and 2 units up
Step-by-step explanation:
what is x - (14x-4) + 12 = 6x + 32
Answer:
x= -16/19
Step-by-step explanation:
x−14x+4+12=6x+32
−13x+16=6x+32
16=6x+32+13x
16=19x+32
16−32=19x
−16=19x
-16/19=x
The volume of this cylinder is 4,939.22 cubic millimeters. What is the height? Use a 3.14 and round your answer to the nearest hundredth.
Answer:
13 mm
Step-by-step explanation:
V = πr²h
4,939.22 mm³ = 3.14 × (11 mm)²h
4,939.22 mm³ = 3.14 × (11 mm)²h
h = 13 mm
Answer: 13 mm
How many 6-digit numbers are there in all?
Answer:
900,000 6
∴ there are 900,000 6-digit numbers in all.
A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take back 4⁄5 of a ton. What was the total weight of the rock left at the construction site?
Answer:
1/30 ton of rock left
Step-by-step explanation:
1/3+ 1/2= 5/6
5/6 - 4/5= 1/30 ton of rock left at the construction site.
The growth of an apple tree was measured. The tree grew 15 inches per year.
On average, how many millimeters did the tree grow per day?
Answer:
1.04 mill
Step-by-step explanation:
15 inches to mill = 381
[tex]365\sqrt{381}[/tex] = 1.04 ( rounded )
You arrive at the airport at 1:50 pm and your flight leaves at 5:20 pm. How many MINUTES will you need to wait?
Answer:
you will need to wait 3 hours and 30 mins
Step-by-step explanation:
Answer:
Hello There!!
Step-by-step explanation:
It is 3 hours and 30 minutes which is 210 minutes altogether.
hope this helps,have a great day!!
~Pinky~
A cylindrical gas tank holds approximately 401.92 cubic feet of fuel. The radius of the tank is 4 feet. Find the height of the tank in feet. Use 3.14 for π. PLEASE HURRY I NEED THIS
Answer:
8 ft
Step-by-step explanation:
Given:
Volume = 401.92
radius = 4 feet
Volume of cylinder: [tex]\pi[/tex]r^2h
3.14 * 4^2 * h = 401.92 cubic feet
3.14 * 16 * h = 401.92 cubic feet
50.24 * h = 401.92
h = 8 ft
Can someone help me with this. Will Mark brainliest.
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
Use the distance formula:
[tex]\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex]
plug in (-5,6) for (x1,y1) and (-3,-1) for (x2,y2)
[tex]\sqrt{(-5-(-3))^2+(6-(-1))^2}[/tex]
[tex]\sqrt{4+49}[/tex]
[tex]\sqrt{53}[/tex]
Hope that helps :)
Write the Recursive form and next of the following sequence
8,10,12,14,16...
Answer:
Step-by-step explanation:
The recursive form is a(n + 1) = a(n) + 2, with a(1) = 8.
The next term is a(6) = a(5) + 2, which heere is a(6) = 16 + 2 = 18
I need help with this we my class skipped this section
Answer:
v^ 3 = 1000
so v = cube root of 1000
v = 10
On a standardized exam, the scores are normally distributed with a mean of 120 and
a standard deviation of 10. Find the z-score of a person who scored 115 on the exam
Answer: z= -0.5
Step-by-step explanation: mean m=120 and deviation s=10.
Z = (x-m)/s= (115-120)/10
Answer: z=−1.1
Step-by-step explanation:
z=\frac{x-\mu}{\sigma}
z=
σ
x−μ
z-score formula
z=\frac{104-115}{10}
z=
10
104−115
Plug in values
z=\frac{-11}{10}
z=
10
−11
Subtract
z=-1.1
z=−1.1
Divide
Which of these are equivalent? NO LINKS. NEED HELP ASAP
Answer:
3 AND 6 - 2 AND 5!
Step-by-step explanation:
hope i helped!
80% of grade 8 students, that is, 60 students want a new ice-cream shop in the
cafeteria. The total number of grade 8 students are?
Answer:
48
Step-by-step explanation:
60 students X 80%=48
20% is 12 students
40% is 24 students
60% is 36 students
so on and so forth.
Answer:
48.
Step-by-step explanation:
.80 x 60 = 48
ect
Use the number line interactive to evaluate the
following expressions.
8 + 3 =
+
16
(-8) + (-5) =
<
(-8) + 2 =
Answer:
1. 11
2. -13
3. -6
Step-by-step explanation:
Hope this helps. Have a great day! (I got this correct on edge :})
Which point is not on the line
Find the area of polygon MNOP formed by the coordinates given below.
M (8,5)
N (8,-4)
O (-7,-4)
P (-7,5)
A.
48 square units
B.
135 square units
C.
15 square units
D.
150 square units
Answer:
B
Step-by-step explanation:
got it right on edg
In the pic below help my cousin out UnU I don’t wanna help em ;-;
Answer:
The mode is 78, for it keeps repeating.
Rewrite as an addition equation and determine the answer: -3 - - 8 =
Answer:
-3 + 8 = 5
Step-by-step explanation:
When we have a "minus a negative", it's a positive. So the - -8 is the same as + 8.
LMK if you have questions.
-3 + -8 = -11
is that a nice one or something
1. Find the coordinates of the center and the measure of the radius for a circle whose equation is
(x - 8) + (y + 4) = 12
Answer:
the center of this circle is (8, -4) and the radius is 2√3.
Step-by-step explanation:
Compare this equation
(x - 8) + (y + 4) = 12 Don't forget to type in the " ^ " symbol to indicate exponentiation.
(x - 8)^2 + (y + 4)^2 = 12
to the standard equation of a circle with center at (h, k) and radius r:
(x - h)^2 + (y - k)^2 = r^2
In this way we learn that h = 8, k = -4 and r^2 = 12 (or r = 2√3).
Then the center of this circle is (8, -4) and the radius is 2√3.
Please Help!
Factor the following trinomial
[tex]9x^2-24x+16[/tex]
Please show work
=> 9x² - 24x + 16
Split the middle term(term with x) in such a manner so that the product of those parts is equal to the product of term with x² and constant. Here, those parts are 12 & 12 as 12*12 = 9*16.
=> 9x² - 24x + 16
=> 9x² - (12 + 12)x + 16
=> 9x² - 12x - 12x + 16
=> 3x(3x - 4) - 4(3x - 4)
=> (3x - 4)(3x - 4)
Method 2
=> 9x² - 24x + 16
=> (3x)² - 2(3x*4) + 4²
=> (3x - 4)²
=> (3x - 4)(3x - 4)
Method 3
In case if you can't find the factors of the middle term.
Say f(x) = 0, find the zeroes using quadratic formula. Zeroes of this eqⁿ are [-(-24) ± √24²-4(9)(16)] / 2(9) = 4/3 & 4/3
Therefore, f(x) = (x - 4/3)(x - 4/3) = (3x - 4)(3x - 4)/9
Ignore the numeric constant.
f(x) = (3x - 4)(3x - 4)
Which one would result an integer
Answer:
c is the only one that would result in an integer
Step-by-step explanation:
i hope this helps :)
Option c ∛ 27 would result in an integer.
what are integers?An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.
Given here, ∛27= 3 while the other options ∛60 is not an integer because 60 is not cubic number similarly for 9 , 18 are not cubic numbers and thus their subsequent cubic roots will not yield an integer.
Hence, Option c ∛ 27 would result in an integer.
Learn more about integers here:
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I'll give brainliest
your options are:
a. 60
b. 120
c. 180
d. 40
Answer:
the answer is A
Step-by-step explanation:
It is an acute angle but is larger than 40
1. Claretta works part-time at a coffee shop. Her
weekly paychecks in March are: $87.00, $96.00,
$84.25, and $100.75. Find the median of her
paychecks.
Round 4,368 to the nearest ten
Answer:
4,370
Step-by-step explanation:
.....just round the tenths place (6) up sense 8 is above 5 it rounds up so
4,370
sorry for bad explanation
Use the diagram to identify 4 collinear points
Answer:
the answer is the (L,N,K,O)
The Arnold's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have paid after 30 years?
Answer:
just interest = 251,550. Plus loan = 446,550
Step-by-step explanation:
195,000 x 0.043(interest as a decimal) = 8385 per year.
8385 x 30(years) = 251,550
The total of $446550 amount of money have to pay after 30 years at the rate of 4.3% of the principal amount of $195000.
What is compound interest?Compound interest is applicable when there will be a change in principle amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
Given that
the principle amount of $195000
The rate of interest is 4.3%
Time period 30 years.
By compound interest formula
A = P × [tex](1 + 0.00r)^{n}[/tex]
where A is the total amount, P is the principal amount,r is the rate of interest and n is the total time period.
A = $195000[tex](1 + 0.043)^{30}[/tex]
A = $689546.985
For more information about compound interest
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Help please
Mark True or False in the table on your answer document to indicate whether
each comparison is true
Answer:
1. false
2. false
3. true
Step-by-step explanation: