6 cups of flour because if u multiply the sugar by 2 you have to do that to the flour.
so 3*2 is 6
Answer:
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)
Step-by-step explanation:
The given expression is -5·t² + 5·t + 24
To factorize the expression by completing the square method, we equate the expression to zero to get;
-5·t² + 5·t + 24 = 0
WE divide by -5 to get;
t² - t - 24/5 = 0
t² - t = 24/5
t² - t + 1/4 = 24/5 + 1/4
(t - 1/2)² = 5.05
t - 1/2 = ±√5.05
t = 1/2 + √5.05, 1/2 - √5.05
The factorized expression becomes;
(t - 1/2 + √5.05) and (t - 1/2 - √5.05)
Which gives;
(t - 2.747) ×(t - 1.747)
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).
Slope-intercept form:
y = mx + b "m" is the slope
First i would isolate the "y" in the equation.
2x + y = 4 Subtract 2x on both sides
2x - 2x + y = 4 - 2x
y = 4 - 2x or y = -2x + 4
The given line's slope is -2.
For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)
For example:
slope is 2
perpendicular line's slope is -1/2
slope is -2/3
perpendicular line's slope is 3/2
The given line's slope is -2, so the perpendicular line's slope is 1/2.
The 3rd option is your answer
Answer: The measure of AC is 32.
Explanation:
It is given that the Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16.
The midpoint theorem states that the if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.
Since F and D are midpoints of AE and EC respectively.
So by midpoint theorem length of AC is twice of DF.
Therefore, the length of AC is 32.
Answer:
4.39%
Step-by-step explanation:
There are no marking to identify the coins, so the order is not important. Since the order not important we use combination instead of permutation.
A coin have 2 possible outcome, head or tails. Assuming the coin is fair each outcome will be 50% or 0.5 chance. If heads= A and tails =B, then the probability of 2 pennies will be:
P(A=2) = 2C10 * A^2 * B^(10-2)
P(A=2) = 10*9/2 * 0.5^2 * 0.5^8
P(A=2) = 0.0439= 4.39%
