Answer: (x - 2)^2 + (y + 3)^2 = 18 3(2^(1/2)) (2,-3)
Step-by-step explanation:
7x^2 - 28x + 7y^2 + 42y - 35 = 0
divide 7 out
x^2 - 4x + y^2 + 6y - 5 = 0
add 5 to other side
x^2 - 4x + y^2 + 6y = 5
solve by completing the square
take b values divide them by 2 square and add to both sides
-4/2 = -2
-2^2 = 4
6/2 = 3
3^2 = 9
X^2 - 4x + 4 + y^2 + 6y +9 = 4 + 9 +5
(x - 2)^2 + (y + 3)^2 = 18
(x - k)^2 + (y - h)^2 = r^2
r^2 = 18
r = [tex]\sqrt{18}[/tex] = 3[tex]\sqrt{2}[/tex] = 3(2^(1/2))
center of circle = (2,-3)
Janice heard the final school bell, and 39 seconds later she was running at 2.4 meters per second toward her dad’s car. At this velocity, how long did it take Janice to run 180 meters?
Answer:
75 seconds to run 180 meters
Step-by-step explanation:
(180m) / (2.4m/s) = 75 seconds
75 seconds to run 180 meters, but if we take into consideration the initial 39 seconds, then the total time it took to run (75s + 39s) was 114 seconds.
The question didn't explicitly ask the total time it took, but the time it took to run 180 meters.
A salesperson earns 7.5% commission on each vehicle sold. What price
must he sell a vehicle for in order to earn a commission of at least $3,000?
A trapezoid has bases that measure 9 cm and 5 cm. The height of the figure is 4 cm. What is the area of the
trapezold?
O 28 cm?
O 36 cm
45 cm?
O
90 cm?
Answer: 28 cm.
Step-by-step explanation: To find the area of trapezoids, you need to add base 1 and base 2, multiply the height, and divide it all by 2. The work is done below:
b1 + b2 x h / 2, where b1 and b2 are the bases and h is the height.
5 + 9 x 4 / 2 = ?
Step 1 (Add): 5 + 9 = 14.
Step 2 (Multiply): 14 x 4 = 56.
Step 3 (Divide): 56 / 2 = 28.
Therefore, 28 cm is your answer.
Hope this helps! :)
Consider the following incomplete deposit ticket: what was art’s total deposit? a. $1,701.23 b. $1,545.83 c. $1,856.63 d. $1516.35
Total deposite is the resultant amount we deposite. The total deposite that Art made is given by: Option B: $1,545.83
How to get the resultant deposited amount?Resultant deposited amount = Deposited amount - The amount deducted.
We subtract the amount deducted from the amount deposited to get the resultant deposite amount that will go in bank.
Well, it might be that we deduced more than what we deposite, in that case net deposite will come as negative, indicating that there is deduction instead of deposite.
The missing image of the deposite ticket is attached below.
From that image, we can see that:
Deposited amounts were: 13.50, 942.06, 75.53, 670.14 all in dollars.Deducted amount was: 155.40 dollarsThus, the net deposited amount is:
Net deposite = deposited amounts - deduced amounts
Net deposite = 13.50 + 942.06 + 75.53 + 670.14 -155.40
Net deposite = 1545.83 (in dollars).
Thus, the total deposite that Art made is given by: Option B: $1,545.83
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Answer:
B
Step-by-step explanation:
I WILL MARK BRAINLIEST
Answer:
C. $250
Step-by-step explanation:
-To find the unit rate you need to divide the Amount Earned by Time worked
-When you do this you get 6.25
-Then you multiply 6.25 by 40
-That equals 250 and therefore the answer is C
it costs 42 dollars for 12 cookies how much is 1 cookie
Answer:
$3.50
Step-by-step explanation:
if you divide 42 by 12 you get 3.5
Determine the equation of a circle with its centre at the origin in the Cartesian plane and with a radius of 2√3 units
Answer:
x^2 + y^2 = 12
Step-by-step explanation:
For a circle with the center at the origin [(h,k) is (0,0)]
use the formula:
x^2 + y^2 = r^2
In this case r is 2sqroot3.
(2sqroot3)^2 is 12.
2•2•sqrt3•sqrt3
= 4•3
= 12
So we get,
x^2 + y^2 = 12
solve for c
x^(2)+12x+c
Answer:
14x+c
Step-by-step explanation:
I hope it's to help
Could someone please help me with this problem and give me an explanation on how to solve it?
Answer:
B
Step-by-step explanation:
(a^3/2) / a
= a^(1/2)
= √a
= B
Answer:
D. A ( a-1/2)
Step-by-step explanation:
Hello!!
You must cancel out the common factor or in this case, ( a3/2) on the top.
You will now have ( 3/2) which should then be simplified to ( 1 1/2) or in this case ( A- 1/2)
Hope this helped!. :)
help! (pic below, choices r A or B!)
please help I can't find the mean
Answer:
add all and devide by the amount of numbers so in this case 0+5+6+7+7 devided by 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
0 + 5 + 6 + 7 + 7 = 25
25/5 = 5
someone help me please
The equation x² - 6x = 8 is equivalent to the equation (x - 3)² = 17. Then the correct option is A.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
x² - 6x = 8
Add 9 on both sides, then we have
x² - 6x + 9 = 8 + 9
(x - 3)² = 17
The equation x² - 6x = 8 is equivalent to the equation (x - 3)² = 17. Then the correct option is A.
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A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole.
A right triangle with side length 10 feet, hypotenuse of 22 feet, and side of h.
What is the height of the pole? Round to the nearest hundredth.
12.00 feet
19.60 feet
24.17 feet
38.40 feet
✰ Concept Used :-
⠀
In this question, we can clearly observer that the diagram shows a right angled triangle. And, we have been provided with the value of base, and the value of hypotenuse, using the pythagoras theorem, now we can easily find out the value of the perpendicular i.e. the value of the side h. According to the pythagoras theorem, square of hypotenuse is equal to the sum of square of perpendicular and square of side respectively. Therefore, square of side is equal to the difference of square of hypotenuse and square of perpendicular.
⠀
✰ Given Information :-
⠀
Hypotenuse = 22 ft. Base = 10 ft.⠀
✰ To Find :-
⠀
The value of side or the perpendicular⠀
✰ Formula Used :-
⠀
[tex] \star \: \underline{ \boxed{ \purple { \sf {Side}^{2} = {Hypotenuse}^{2} - {Base}^{2} }}} \: \star [/tex]
⠀
✰ Solution :-
⠀
[tex]\sf \longrightarrow {Side}^{2} = {(22 \: ft)}^{2} - {(10 \: ft)}^{2} \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {484 \: ft}^{2} - {100 \: ft}^{2} \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {384 \: ft}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \sqrt{ {384 \: ft}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \underline{ \boxed{ \frak{ \green{19.60 \: ft}}}} \: \star \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, option B. 19.60 ft. is the correct option.
⠀
[tex]\underline{\rule{230pt}{2pt}} \\ \\ [/tex]
Answer:
Answer is B
Step-by-step explanation:
A survey asked a random sample students if they estimated they spent more or less than an hour a day on social media.
What percent of the 8th graders estimated they spend more than an hour a day on social media? Round your answer to the nearest whole number percent.
43
so sorry if this is incorrect.
The percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
A survey asked random sample of students if they estimated they spent more or less than an hour a day on social media.
more less
7th 12 14
8th 20 26
To determine the percentage of 8th graders who estimated they spend more than an hour a day on social media, we need to divide the number of students who answered "more" by the total number of 8th-grade students surveyed and then multiply by 100 to get the percentage.
20 students out of 46 students (20+26) answered "more" which is about 43.48%
Thus, the percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.
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PLEASEEEEEE HELP ME OUT
Answer:
[tex]x = 135(being \: opposite \: angles \: of \: a \: paralleogram)[/tex]
Step-by-step explanation:
x =135(being opposite angles of a parallelogram)
Solve for x. round to the nearest tenth.
37°
x
48
Answer:
1.3
Step-by-step explanation:
To find what x equals, you need to first divide by 48 and 37.
This is because that x is being multiplied by 37.
48 ÷ 37 = 1.297.......
The 97 in 1.297 is repeating and goes on forever.
Rounding the the nearest tenth would create the number 1.3 as the correct answer.
I AM GIVING AWAY BRAINLIEST AND POINTS TO WHOEVER ANSWERED! PLEASE HELP!
The lengths of the diagonals of a rhombus are 2in. and 5in. Find the measures of the angles of the rhombus to the nearest degree.
Draw a rhombus with the diagonals.
4 right triangles are formed.
The intersection of the diagonals of a rhombus form 90 degree (right) angles (property of a rhombus).
The diagonals of a rhombus bisect each other. This means that they cut each other in half.
So, each of the right triangles have one side = 1, one side = 2.5 and the hypotenuse = unknown (sides of the
rhombus).
Triangle 1. ABC
side a = 2.5, side b = 1
tan A = a/b = 2.5/1 = 2.5
tan A = 2.5
tan 68.2 deg = 2.5
Since, angle C = 90 and angle A = 68.2
angle B = 21.8 deg. (180 - (90 + 68.2))
Since the diagonals bisect angles in each corner of a rhombus (property of a rhombus), therefore, one corner angle is 68.2 + 68.2 = 136.4 deg. and the same side other corner angle is 21.8 + 21.8 = 43.6 deg.
Adjacent sides (ones next to each other) of a rhombus are supplementary. This means that their measures add up to 180 degrees.
Therefore, the opposite corners are
180 - 136.4 = 43.6 and
180 - 43.6 = 136.4.
So, the four angles are,
136.4, 43.6, 136.4, and 43.6----------------------------------------------------------------------------------------------------------"The beautiful thing about learning is that no one can take it away from you"
B.B.King
Thanks!
Have a great day!
Mark me brainliest too!
~ms115~
last time, TO ALL AMAZING MATHMATICIANS PLS HELP ASAP, please do not put links in I won't click them and I know they're not the correct answer. Please these are urgent and I know its kind of tedious but i need help. Thank you so much to the kind smart person who ends up answering this.
Answer:
I just answered these with your most recent post.
Choose the phrase that correctly completes this sentence.
Taking out a loan is like ____________________.
which of the following is a polynomial function in factored from with zeros at 0, -3, and 4?
The answer would be: f(x) = x(x + 3)(x – 4)
HELP PLEASE URGENT, ASAP. GRADE 11 TRIGONOMETRY MATH, ill give brainliest.
Answer:
deedww
Step-by-step explanation:
P varies inversely with Q, and P=12 when Q=8. Find P when Q=3.
Answer:
32
Step-by-step explanation:
Given :
P ∝ Q⁻¹ or P ∝ 1/QFinding the propotionality constant
P = k/Q12 = k/8k = 12 * 8 = 96Finding P in Case (ii)
P = k/QP = 96/3P = 32Please help only 2 questions please!! >_<.
Answer:
Edit:
7. Linear because the graph is a straight line with an x and y variable
8. Non-linear because the graph is not a straight line
Sorry for the confusion with my previous answer! I hope this helps!
The population of Sheffield is 690,000 to the nearest thousand and the population of Nottingham is 730,000 to the nearest 1000.
Calculate the upper and lower bounds for the difference in population between Sheffield and Nottingham.
Please answer with clear instructions so that i can apply this to other questions
Answers:
lower bound = 39001
upper bound = 40999
========================================================
Explanation:
You'll have to think backwards to find what values round to 690,000 when rounding to the nearest thousand.
It turns out that if x is on the interval [tex]689,500 \le x \le 690,499[/tex], then x will round to 690,000 when rounding to the nearest thousand. The x refers to the population of Sheffield, so it's some integer in that range.
Through similar logic, if y is on the interval [tex]729,500\le y \le 730,499[/tex] then it will round to 730,000 when rounding to the nearest thousand. This represents the population of Nottingham.
-------------------
Now let's say we go for the smallest possible value of x (689500) and the largest possible value of y (730499). This guarantees the two populations are the most spread out or distant from one another. Subtract those two values:
730,499 - 689,500 = 40,999
This is the largest difference possible of the two populations. It represents the upper bound, i.e. it's the ceiling.
---------------------
On the other hand, let's now say x is as big as possible (690499) and y will be as small as possible (729500). Subtract those values:
729,500 - 690,499 = 39,001
This is the lower bound. It's the smallest the difference can be. It's considered the floor.
----------------------
Let d be the difference in the populations. In other words, d = y-x
We found that the lower bound was 39,001 and the upper bound was 40,999
Meaning that
[tex]39,001 \le y-x \le 40,999[/tex]
or
[tex]39,001 \le d \le 40,999[/tex]
What is the slope of the line?
y = -2/7x
A. -2
B. -2/7
C. 0
D. 2/7
questions in the picture below
Answer:
Answer is
a) 50%
b) 20%
c) 40%
Step-by-step explanation:
A student clamied that the number -4 is not rational because it is not a ratio of two integers. Do you agree or disagree?
Answer:
I disagree.
Step-by-step explanation:
An integer is a whole number ranging from -2,147,483,648 to 2,147,483,647.
A ratio of two integers with -4 could be -4/1, so -4 is a rational number.
I agree.
Solution:Every single integer can be written as a fraction.Please remember that the set of integers includes negative numbers, zero, and positive numbers.In this case, we have a negative number (the minus sign in front of the number tells us it is negative).So, how can we write an integer as a fraction?Every integer can be written as a fraction with a denominator of 1.Therefore, the answer is:-4/1So, is 4 rational? Yes, because it can be written as a fraction.Hope it helps.
Do comment if you have any query.
A cell phone company charges $20 for a customer to open a new account and $35for each month of phone service.
Write a linear function to represent the total cost,y,a new customer would pay for x months of service
What is the measure of m?
Answer:
<M = 50
Step-by-step explanation:
The sum of the angles of a triangle is 180. 52+ 78+x = 180. Combine like terms. 130 +x = 180.
The value of m for the given combination of two right-angle triangles will be 7√5.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
In the bigger right-angle triangle suppose the missing length is x.
By Pythagora's theorem,
(28 + 7)² = x² + m²
x² = 35² - m² (1)
In the smaller right-angle triangle,
x² = 28² + n² (2)
By comparing equations (1) and (2).
35² - m² = 28² + n²
m² + n² = 35² - 28²
In the smallest right-angle triangle,
m² = n² + 7²
n² = m² - 7²
By substitution,
m² + m² - 7² = 35² - 28²
2m² = 35² - 28² + 7²
m² = 245
m² = 7² x 5
m = 7√5.
Hence "The value of m for the given combination of two right-angle triangles will be 7√5".
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I will make someone the BRAINLLYEST
what is this and i will
Answer:
42 (d)105 (i)