Solve the equation by completing the square. -9n^2+79+=-18n
Answers
-9n²+79=-18n
==>9n²-18n-79=0
==>9(n²-2n+1-1)-79=0
==>9(n-1)²-88=0
==>[3(n-1)-2√22][3(n-1)+2√22]=0
==>3(n-1)=2√22 or 3(n-1)=-2√22
==>n-1=2/3*√22 or n-1=-2/3*√22
==>n=1+2/3*√22 or n=1-2/3*√22
Related Questions
The sum of a number and -43 is 102.what is the number
Ln(x + 1) − ln(2) = 1
The sum of two numbers is 13. Two times the first number minus three times the second number is 1. If you let x stand for the first number and y for the second number, what are the two numbers?
What shape is produced when slicing a right rectangular pyramid perpendicular to the base?A. rhombusB. triangleC. squareD. rectangle
Answers
Answer:
See attachment
Step-by-step explanation:
A) We draw the number line as shown in the attachment with intervals of 0.2 from 0 to 2.
B) Observe that, from 0 to 0.2 you move one units to get to 0.2.
From 0 to 2, on the number line with intervals of 0.2, you move 10 units from 0.
This means that:
This gives us:
Then finally we have:
By the commutative property of multiplication:
5x -3 < -3
Answers
Answers
Answer:
3. A=B=70°; C=D=110°
4. A=90°; C=48°
Step-by-step explanation:
Same-side angles of a trapezoid add to 180°.
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3. (2x) +(x+15) = 180
3x + 15 = 180 . . . . simplify
x +5 = 60 . . . . . . . divide by 3
x = 55
A=B=(x+15)° = (55+15)° = 70°
C=D=2x° = 2·55° = 110°
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4. You are given the values of one of the angles on each side, so the other can be found by subtraction:
A=180°-D = 90°
C = 180° -132° = 48°
Answers
Answer:
Slope = 3/2, or 1.5
Step-by-step explanation:
Pick out the lattice points ( points that intersect the graph markings)
I see 2 points, ( 3, 1), and ( 5, 4)
Slope = Δy/xΔ = 4 - 1/5 - 3 = 3/2
Slope is 3/2, or 1.5
-Chetan K
You rise 3 and then go right 2
Rise over run!;D
Answers
The ratio of the number of sixth graders who visited the history museum to the number of sixth graders who visited the science museum is 2 : 1.
What are ratio and proportion?
A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, The sixth graders at Jenna's school got to visit either the science museum or the history museum. 32 students picked the science museum and 16 picked the history museum.
∴ The ratio of the number of sixth graders who visited the history museum to the number of sixth graders who visited the science museum
History museum : Science museum = 32 : 16.
History museum : Science museum = 2 : 1.
For every 2 students go to the science museum, 1 student goes to the history museum.
learn more about proportion here :
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Answer:
The ratio is 16:32 or 1:2. this is because 16 times 2 is 32.
Hope this helped! Please mark me brainliest if I am correct! Thank you and have a great day!
Step-by-step explanation:
The coin falls down with an average speed of 132.3 meters per second from 3 seconds to 6 seconds.
The coin falls down with an average speed of 44.1 meters per second from 3 seconds to 6 seconds.
The coin travels an average distance of 132.3 meters from 3 seconds to 6 seconds.
The coin travels an average distance of 44.1 meters from 3 seconds to 6 seconds.
Answers
change in time = 6 - 3 = 3
The object travels 132.3 meters in 3 seconds
the speed is the ratio of the two values
speed = distance/time
speed = 132.3/3
speed = 44.1 meters per second
This is the average speed of the object from t = 3 to t = 6 seconds. This is equivalent to the slope of the straight line through the two points.
The answer is The coin falls down with an average speed of 44.1 meters per second from 3 seconds to 6 seconds.`