Answer:
2(8w + 1)
Step-by-step explanation:
Look on either side of the plus sign. What ever you see that is common is a common factor. In this case it is also the greatest common factor.
2 appears on both sides of the plus sign.
2(16w/2 + 2/2)
Answer:
90 red pens
Step-by-step explanation:
we need to find the least common multiple of the numbers 3 , 5 , 6 , 9
6 = 2 × 3
9 = 3²
then
LCM(3,5,6,9) = 2×5×3² = 2×5×9 = 90
The number 90 can be divided into 3 ,5 ,6 ,9 with no remainder
Therefore the pack must have 90 pens or a multiple of 90
For example 180 , 270 ...
Answer:
A shaded region below a dashed line (y <3x-4)
Step-by-step explanation:
For linear inequalities, we have shaded regions below or above a dashed or solid or continuous line represented by an inequality.
Their graphs are called region graphs. Those regions are only enclosed ones if before the sign of inequality it is included both variables. Like x²+y²<1, |x+y|<1, etc.
In this case what we have here is an open region, as the graph below shows.
3x-y>4 =-y>4-3x∴y<3x-4
Setting a value for x
3x-4=0
3x=4
3x/3=4/3
x=4/3 (slope)
(4/3,0)
Step-by-step explanation:
t/-3,2 < 5
t > 5 × -3,2
t >-16
Answer:
Correct answer: ∝ = 18.43°
Step-by-step explanation:
Given coordinates represent one vector in x-y plane, let be v.
v = 3i +1j = xi + yj => x = 3 and y = 1
The angle that this vector builds with the positive direction to the x axis will be found using the tangent.
∝ = tan⁻¹ y/x = tan⁻¹ 1/3 = tan⁻¹ 0.333 = 18.43°
∝ = 18.43°
God is with you!!!