Answer:
Eight pins, each 43/8” long, have to be cut from a piece of drill rod. There is a 3/32” waste for each cut. What is the minimum length of rod you will need? 35” ...
Answer:
x = 13
Step-by-step explanation:
Since AB = AC , then Δ ABC is isosceles
So the base angles are congruent , both 2x + 15
The sum of the 3 angles = 180° , then
2x + 15 + 2x + 15 + 98 = 180
4x + 128 = 180 ( subtract 128 from both sides )
4x = 52 ( divide both sides by 4 )
x = 13
Step-by-step answer:
The intersection of two sets A & B is represented by the set (collection of members) common to both sets.
A={1, 5, 7, 9, 14}
B={2, 5, 6, 8, 14, 17}
By examining the two sets, we see that the set common to both (intersection) are the numbers in bold.
Answer:
3(4x - 1)(2x + 3)
Step-by-step explanation:
Rearrange the equation into standard form
Subtract 9 - 30x from both sides
24x² + 30x - 9 = 0 ← in standard form
Take out 3 as a common factor
3(8x² + 10x - 3) = 0 ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term
product = 8 × - 3 = - 24, sum = 10
The factors are - 2 and + 12
Use these factors to replace the x- term, that is
8x² - 2x + 12x - 3 ( factor the first/second and third/fourth terms )
2x(4x - 1) + 3(4x - 1) ← take out the common factor (4x - 1)
(4x - 1)(2x + 3)
24x² + 30x - 9 = 3(4x - 1)(2x + 3) ← in factored form
Answer:4
Step-by-step explanation:6+2=8
8÷2=4 So,therefore its 4