You would multiply it by 4
4(3x^2 +2 )
12x^2 +8
Answer:
a) 5/21
b) 4/21
c) 4/21
d) 8/21
Step-by-step explanation:
total number of coins: 21
a) number if dollars: 5
therefore fraction is 5/21
b) number of quarters: 4
therefore fraction is 4/21
c) number of dimes: 4
therefore fraction is 4/21
d) number of nickels: 8
therefore fraction is 8/21
Step-by-step explanation:
log <base a> b = x
means
a^x = b
So
3^2 = x^2+7x+21
x^2 + 7x + 21 - 9 = 0
x^2 + 7x + 12 = 0
(x+3)(x+4)
x = -3 or -4
Answer:
142° is the measure of angle 2.
Step-by-step explanation:
When two lines intersect, they make four angles. The angles facing each other are equal.
Let's say that two lines a and b intersected each other to make angles 1,2,3 and 4 respectively.
The measure of angle 3 = 38 degrees.
We know that the angle 1 is against angle 3 and is equal to 38.
Also Angle 2 and Angle 4 are also against each other and are equal let's say equal to x degrees.
Now, the sum of all four angles = 360 degrees
∠1 + ∠2+ ∠3 + ∠4 = 360°
38° + x + 38° + x = 360°
2x = 360° - 76°
2x = 284°
x = 142°
Hence, ∠2 = 142°
Given :
An expression D = 401 km 101 m – 34 km 153 m.
To Find :
Value of D.
Solution :
We know, 1 km = 1000 m.
So, 401 km 101 m =( 401000 + 101 ) m = 401101 m.
Also, 34 km 153 m = ( 34000 + 153 ) m = 34153 m.
Now, D is given by :
D = 401101 - 34153 m
D = 366948 m
Now, D = 366948 m = 366 km 948 m.
Therefore, the difference is 366 km 948 m.
Hence, this is the required solution.
