Answer:
C
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k)are the coordinates of the centre and r is the radius
Given
2x² + 2y² - 4x + 16y = 128 ( divide through by 2 )
x² + y² - 2x + 8y = 64 ( collect x and y terms together )
x² - 2x + y² + 8y = 64
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 1)x + 1 + y² + 2(4)y + 16 = 64 + 1 + 16
(x - 1)² + (y + 4)² = 81 ← in standard form
with centre = (h, k ) = (1, - 4 ) → C
Write the equation of the graphed line that has a slope of 2 and passes through the point (2,-2)
Answer:
y = 2x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (2, - 2 ) into the partial equation
- 2 = 4 + c ⇒ c = - 2 - 4 = - 6
y = 2x - 6 ← equation of line
Hello, ive been having issues with a quite easy topic. Slopes of lines? I dont really know how to solve this.
this graph shows how much lisa earns babysitting compared with thge number of hours she works
Answer:
For every hour she earns 12$
Step-by-step explanation:
If your question looks like the picture, then the answer above is the right answer. If it's not, oh well, show the picture next time!
The solution a+b>-9 is a >-25. What is the value of b
Answer: b > 16
Step-by-step explanation:
Because a > -25, b must be at least greater than 16, as if a is -25.1, for example, b must be 16.11.
BRAINLIEST
Can you help me finish these
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The perimeter of rectangle is 100m. If the length is decreased by 2m and the breadth is increased by 3m, The area increases by 44m². Find the length and breadth of rectangle?
length=22m
breadth=14.67
PLEASE HELP!! Which grabh does NOT represent a function?
Α) Α
B) B
C) С
D) D
Answer:
The answer is B!
Step-by-step explanation:
Using the vertical line test, two points meet while up and down. It'd be B.
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answer:
115°
Step-by-step explanation:
Since ∠ACM and ∠ACE form a straight line that means that they are supplementary (they add up to 180°). So, if m∠ACB is 65°, then m∠ACE is 180° - 65° which is 115°
Answer:
115
Step-by-step explanation:
[tex]fca + acb + bcd = 180 \\ 90 + 65 + bad = 180 \\ bad = 25 \\ \\ bad = fce \\ fce = 25 \\ \\ ace = acf + fce \\ = 90 + 25 \\ = 115[/tex]
count the following atoms
NEED ANSWER ASAP
Answer:
30
Step-by-step explanation:
There are 5 Zn atoms, 5 S atoms and 20 O atoms. In total, you have 30 atoms.
Answer:
30
Step-by-step explanation:
What is the slope of a line that passes through the points (8, 3) and (−3, 3)?
A. -8
B. 0
C. 1
D. undefined
Pasagot nga po, need ko na po kasi now
Answer:
0
Step-by-step explanation:
m = 3-3/8-(-3)
m = 0/11 = 0
i need this one fast too so if you can please help fast
What is the slope of the line that passes through the two following points?
(2,-5),(-1,4)
- 1/3
- -1/3
- 3
- -3
steve has been lifting 225 pounds during a deadlift for several weeks. during his warmup he wants to lift 60% of this weight. how much weight should he lift?
Answer:
135 lb
Step-by-step explanation:
Turn 60% into a decimal (0.60)
Then multiply 225 by 0.60
225 * 0.60 = 135 lb
3. What is 5% of 120?
A. 5
B. 6
C. 10
D. 12
Answer:
B
Step-by-step explanation:
5% of 120
= [tex]\frac{5}{100}[/tex] × 120
= 0.05 × 120
= 6
In the year 2010, there were 100g of a certain radioactive isotope. Now there are 70g in 2020 remaining. In what year will there be only 25 left?
Answer:
2035
Step-by-step explanation:
2010=100g
2020=70
100-70=30
70-30=40
2030=40
Answer:
Somewhere in 2038
Step-by-step explanation:
In 2010 in there was 100g of a certain radioactive isotope
In 2020 now there’s 70g of a certain radioactive isotope
what changed,?
In 10 years they lost 30g of radioactive isotope
Therefore
Year 2030 there will be 50g
Year 2035 there will be 35g
Year 2040 there will be 20g
But we want to get 25g in how many years
1 year takes 3g
2 year takes 6g
3 year takes 9g
4 year takes 12g
But we need to take away 10g from 35 so it’ll be between somewhere between 2038 maybe half year..
NEED ASAP ! WORTH 20 POINTS
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answer:
-1
Step-by-step explanation:
Using the formula to find gradient or slope:
m = (y2 - y1)/ (x2 - x1)
Using any two points from the graph: (-2, 0) (0, -2)
Substitute this into the equation to get the answer of -1.
What is the equation of the line in slope-intercept form?
Answer:
y=2x+1/2 or its y=2x+2
Step-by-step explanation:
Y intercept is when the line intercepts with the y axis, the straight line. In this case it is 4, so b=4
Slope is choosing two imaginary points and appyling the y2-y1/x2-x1 formula in this case is 5/2
Y=5/2x+4
cho tâp m của 120 số tự nhiên mà mỗi số thì chia hết cho 5 hoặc chia hết cho 7 hoặc chia hết cho 5 và 7 . Biết rằng số ấy có 71 số chia hết cho 5 và 63 chia hết cho 7. Hỏi tập M có bao nhiêu số chia hết cho 35?
Answer:
I don't understand you
Step-by-step explanation:
plss translate to English
solving linear systems graphically .
Answer:
D- points on one side of one of the lines
Step-by-step explanation:
I may be wrong but I believe I am correct
Suzie has 672 marbles. She wants to put the marbles into 5 containers, each with the same amount. How many marbles will be in two containers?
Answer:
there would be 67.2 in 2 containers
Step-by-step explanation:
if you take 672 and divide that by 5 you get 134.4 so if you take that number and divide it by 2 you would get 67.2 hope this helps
what 1.9 divided by 4
Answer:
0.457
Steps bye step explanation:
To reach his office on time, Mr Chin usually drives to work at an average speed of 75 km/h. However, if Mr Chin increases his average driving speed by 5 km/h, he will reach his office 10 minutes earlier. If the distance Mr Chin needs to travel to reach his office is represented by x km, form an equation in x and solve for x.
Answer: x = 200 km
Step-by-step explanation:
Distance(x) = Speed(s) x Time(t)
t is in hours
x=s*t
At 75km/h: 75*t = x
At 80km/h: 80*(t-(10/60)) = x [the -(10/60) is the 10 minutes saved, in hours]
We know the distance, x, is the same, so we can set these equal to each other:
75*t = 80*(t- (10/60))
75*t = 80*t - 13.3333
-5*t = -13.3333
t = 2 2/3 hours
Both situations should give the same distance with 2 2/3 and 2 2/3 - :
x = (75 km/hr) x ( 2 2/3 hr)= 200 km
x = (80 km/hr) x (2 2/3 - 1/6 hr) = 200 km
16 is equal to the difference of twice a number p and 8.
Solve and graph each of the following. Show your work to receive full credit.5x – 6 – 8x ≤ 9
Answer: x> or equal to -5
Step-by-step explanation:
5x – 6 – 8x ≤ 9
Combine the lioe numbers
-3x-6≤ 9
+6 to both sides
-3x≤ 15
Divide by a -3 to both sides
X>or equal to -5
Hope that helps
Can someone double-check this to see if it's right?
Answer:
yea it is
Step-by-step explanation:
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).
360 degrees
a.
6.28 units clockwise
c.
3.14 units clockwise
b.
6.28 units
d.
3.14 units
9514 1404 393
Answer:
b. 6.28 units
Step-by-step explanation:
The travel through 360° takes you around the full circumference of the circle. That circumference is ...
C = 2πr
Since this is a unit circle, the radius is 1, so the circumference is ...
C = 2π·1 = 2π ≈ 6.28 . . . units (counterclockwise)
Angles are generally considered to be positive in the counterclockwise direction, so the distance traveled is 6.28 units counterclockwise. Answer choice (a) has the correct number of units, but the direction is incorrect.
Which expression is equivalent to -2v+(-4)+(-3v)? A -5 B 7v C -6v+5 D -5v+ 4
Answer:
-5v+4
Step-by-step explanation:
Remove the parentheses and combine the like terms:
-2v + (-4) + 8 + (-3v)
-2v -4 + 8 -3v [Remove parentheses]
-5v +4 [Combine like terms]
-5v +4
∠A and ∠B are complementary. m∠A=29°. find m∠B.
Answer:
55 degrees
Step-by-step explanation:
Add the expressions up and set up an equation.
( 2 x − 29 ) + ( x + 23 ) = 90 Simplify and solve for x.
3 x − 6 = 90 3 x = 96 x = 32 Find angle B.
x + 23 = 32 + 23 = 55
Hope this helps, have a nice day/night! :D
Answer:
m∠B = 61°
Step-by-step explanation:
Complementary means two angles that add up to the sum of 90°.
Since we are given m∠A = 29°, subtract 29° from 90°.
90 - 29 = 61
m∠B = 61°
Which pair of sneakers has the lowest sale price?
A) 20% off $35
B) 10% off $29
C) 15% off $30
D) 30% off $38
15% off $30 has lowest sale price. Therefore, option C is the correct answer.
What is sale price?A sale price is the discounted price at which goods or services are being sold.
A) 20% off $35
20/100 ×35
= 0.2×35
=$7
Sale price =35-7=$28
B) 10% off $29
10/100 ×29
= 0.1×29
= 2.9
Sale price =29-2.9
= $26.1
C) 15% off $30
15/100 ×30
= 0.15×30
= 4.5
Sale price =30-4.5
= $25.5
D) 30% off $38
30/100 ×38
= 0.3×38
= $11.4
Sale price=38-11.4
= $26.6
Therefore, option C is the correct answer.
Learn more about the sale price here:
https://brainly.com/question/29199569.
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5, k+3, 2k+1 ,3k-2, 26 and 31 are in ascending order. if the median is 17. find the value of k.
Answer:
k = 7
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order.
If there is no exact middle value then the median is the average of the 2 values either side of the middle.
5 , k + 3 , 2k + 1 , 3k - 2 , 26 , 31
↑ middle
Then
[tex]\frac{2k+1+3k-2}{2}[/tex] = 17 ( multiply both sides by 2 to clear the fraction )
5k - 1 = 34 ( add 1 to both sides )
5k = 35 ( divide both sides by 5 )
k = 7
The value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have:
5, k+3, 2k+1 ,3k-2, 26 and 31 are in ascending order
The median of the data set is 17.
The mid-terms are 2k+1 ,3k-2
(2k + 1 + 3k - 2)/2 = 17
5k -1 = 34
5k = 34 + 1
5k = 35
k = 35/5
k = 7
Thus, the value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.
Learn more about the median here:
brainly.com/question/21396105
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