x = 
or x = - 
consider the factors of the product 6 × - 4 = - 24 which sum to the coefficient of the x- term ( + 5)
the factors are + 8 and - 3 ( split the middle term using these factors
6x² - 3x + 8x - 4 = 0 ( factor by grouping )
3x(2x - 1) + 4(2x - 1 ) ( take out common factor of (2x - 1) )
= (2x - 1)(3x + 4) = 0
equate each factor to zero and solve for x
2x - 1 = 0 ⇒ x =
3x + 4 = 0 ⇒ x = -
Answer:
p=5
Step-by-step explanation:
Please give brainliest
Answer:
Thomas can buy 4 strands.
Step-by-step explanation:
We need to round $11.86 to the nearest dollar, which is $12.
Now we ask ourselves, "how many times does 12 go into 50 without going over?"
12 × 4 = 48
12 can go into 50 4 times.
Answer:
Step-by-step explanation:
1. p║ q
50+130 = 180
If the same side interior angles are supplementary angles then the lines are parallel.
2. p║ q
70 = 70
If the corresponding angles are congruent the lines are parallels.
4. p║ q
x = x
If alternating exterior angles are congruent then the lines are parallel.
5. we do not know if p is parallel with q
We have given that 2 vertical angles are congruent yet that is not enough to tell us about the relation between the 2 lines.
7. For the lines p and q to be parallel we need the corresponding angles 3x and 45 to be congruent so therefore equal in measure.
3x= 45 , divide both sides by 3
x= 15
For x = 15 the p║ q
8. For the lines p and q to be parallel we need the corresponding angles 120 and (2x+10) to be congruent so therefore equal in measure.
2x+10 = 120, subtract 10 from both sides
2x = 110, divide both sides by 2
x = 55
For x = 55 the p║ q
The volume of each container is: 25,133 
Given:
height of container (h) = 80 cm
diameter of container (d) = 20 cm
radius = half of diameter = of 
Recall:
Volume of a cylinder = 
<em>Substitute the values into the formula:</em>
Therefore, volume of each cylinder is approximately 25,133
Learn more about volume of cylinder here:
brainly.com/question/971817
