Factor completely, then place the factors in the proper location on the grid. 9 - 6a - 24a2

Mathematics

2 answers:

tia_tia [17]2 years ago

6 0

-<span>3 (2a - 1) (4a + 3)</span>

andre [41]2 years ago

3 0

-3 (2a - 1) (4a + 3)

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Line k has a slope of - 1/6. What is the slope of a line that is perpendicular to like k?

Lemur [1.5K]

The slope of a line and the perpendiular line that intercept will always have a product of -1

If the slope k=-1/6, the perperndicular line can be found by finding the product of the slope and -1

-1= (slope)(perpendicular line slope)
perpendicular line slope= slope(-1)
= -1/6(-1)
= 6

6 0

2 years ago

Numbered disks are placed in a box and one disk is selected at random. If there are 6 red disks numbered 1 through 6, and 2 yell

Tatiana [17]

Answer:

$\frac{3}{4}$

Step-by-step explanation:

Total number of red disk=6

Total number of yellow disk=2

Total disk=6+2=8

Odd number=1,3,5,7=4

Odd number on red disk=1,3,5=3

Probability, $P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}$

Using the formula

The probability of getting odd number disk= $\frac{4}{8}=\frac{1}{2}$

The probability of getting odd numbered red disk= $\frac{3}{8}$

The probability of selecting a red disk,given that an odd numbered disk is selected= $\frac{\frac{3}{8}}{\frac{1}{2}}=\frac{3}{8}\times 2=\frac{3}{4}$