Answer:
y = 50
Step-by-step explanation:
All triangle angles add up to 180 degrees.
To set this equation up, you need to add everything given in the triangle and set it equal to 180:
y + y + 80 = 180
<em><u>Add like terms:</u></em>
2y + 80 = 180
<u><em>Subtract 80 from both sides:</em></u>
2y + 80 = 180
- 80 - 80
___________
2y = 100
<u><em>Divide both sides by 2:</em></u>
y = 50
<u><em>If you're unsure, you can plug in the 50 for y:</em></u>
y + y + 80 = 180
50 + 50 + 80 = 180
100 + 80 = 180
180 = 180
7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7
x² + y² - 4 x + 6 y - 5 = 0
( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0
The equation in the standard form is:
( x - 2 )² + ( y + 3 )² = 18
The center is at the point ( 2, - 3 ).
Its radius is: √18 = 3√2 units.
Answer:
Graph 3
Step-by-step explanation:
EXAMPLE 6=60
4= 40
SINCE THERE IS NO NORMAL NUMBERS AND THERE ARE 10 , 20 ,30 ETC..
THE NORMAL NUMBERS TURN INTO 10 20 AND SO ON..
HOPE IT HELPS
Answer:
x = 2
Step-by-step explanation:
(x² logₓ27) log₉x = x + 4
Use change of base formula.
x² (log 27 / log x) (log x / log 9) = x + 4
Simplify.
x² (log 27 / log 9) = x + 4
x² (log 3³ / log 3²) = x + 4
x² (3 log 3 / (2 log 3)) = x + 4
x² (3 / 2) = x + 4
3x² = 2x + 8
3x² − 2x − 8 = 0
(x − 2) (3x + 4) = 0
x = 2 or -4/3
Since x > 0, x = 2.
Answer:
Proved,
P(A∪B)=0.72
Step-by-step explanation:
Sue travels by bus or walks when she visits the shops.
Probability( catch the bus to the shop ), P(A) = 0.4
Probability( catch the bus from the shop ), P(B) = 0.7
Both A and B are independent events.
Therefore,
P(A∩B) = 0.4×0.7
= 0.28
Probability Sue walks one way = 1 - P(A∩B)
= 1 - 0.28
= 0.72
Hence, the probability that Sue walks at one way is 0.72
