Answer:
the line through the points negative 6 comma 0 and 0 comma negative 2
Step-by-step explanation:
Rewrite the equation to something you are familiar with such as the slope intercept form; y = mx + b. This means you need to solve for y.
3x + 9y = -18 --- divide everything by 3.
x + 3y = -6
3y = -6 - x
y = -2 - 1/3x
your slope is -1/3 and your y intercept is - 2.
remember, y-intercept is when x = 0. therefore, when x = 0, y = -2.
write as an ordered pair (0, -2). the only option that has (0, -2) is the second one.
Therefore, the line through the points negative 6 comma 0 and 0 comma negative 2.
Answer:
11,67
Step-by-step explanation:
In the order to get the answer, we need to get the right measurements. That is turn the cm into m or 60 cm to 0,6 m because 1 cm is 0.01m. How many cupboards in a kitchen that is 4,2 m long? To get the answer just divide 4,2 m with 0,6 m, and that is 11,67 cupboards in a 4,2 m long kitchen.
If x is a real number such that x3 + 4x = 0 then x is 0”.Let q: x is a real number such that x3 + 4x = 0 r: x is 0.i To show that statement p is true we assume that q is true and then show that r is true.Therefore let statement q be true.∴ x2 + 4x = 0 x x2 + 4 = 0⇒ x = 0 or x2+ 4 = 0However since x is real it is 0.Thus statement r is true.Therefore the given statement is true.ii To show statement p to be true by contradiction we assume that p is not true.Let x be a real number such that x3 + 4x = 0 and let x is not 0.Therefore x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4However x is real. Therefore x = 0 which is a contradiction since we have assumed that x is not 0.Thus the given statement p is true.iii To prove statement p to be true by contrapositive method we assume that r is false and prove that q must be false.Here r is false implies that it is required to consider the negation of statement r.This obtains the following statement.∼r: x is not 0.It can be seen that x2 + 4 will always be positive.x ≠ 0 implies that the product of any positive real number with x is not zero.Let us consider the product of x with x2 + 4.∴ x x2 + 4 ≠ 0⇒ x3 + 4x ≠ 0This shows that statement q is not true.Thus it has been proved that∼r ⇒∼qTherefore the given statement p is true.
Answer:
sin = opposite/hypotenuse
Step-by-step explanation:
16/20
