Answer:
The shorthand that represent the contrapositive statement is ~F → ~A
Step-by-step explanation:
The parameters given are;
If it is not a fruit, then it is not an apple
The above is a logic statement which can be rewritten as a conditional statement as follows;
If something is an apple then it is a fruit
Which gives
If p then q
Where:
A = Apple
F = Fruit
Therefore, when we write;
If something is not a fruit, then it is not an apple
We have
~F → ~A
Which is a contrapositive conditional statement
The shorthand that represent the contrapositive statement is therefore, ~F → ~A.
4x + 2x = < y
This is because the opposite sides (which is 4x and 2x) of a triangle add up to the exterior angle (<y).
We have to find X.
As you know:
because the angles of a triangle add up to 180.
When we add them:
The 9 is multiplying with the X. We want X only and not 9 with it. So, when we take 9 to the other side, it becomes divide. As a result, the answer to x is:-
Substitute value of x into 4x and 2x to find the exterior angle:-
4x:
2x:
When we add them we get the answer for angle Y:-
Therefore, we can conclude that:
(1) Equation of the parabola:
Steps:
We know the span 456 m and max height is 38 m. Since the parabola is symmetric around the vertical going through the maximum point, we know half the span, or 228 m to the left and right from the origin are the zeros of the function. We can place the parabola centered around the origin. Also, since it is an arch, the parabola is upside down, so the coefficient at x^2 is negative:
The vertex is at (0,38), and the positive zero at (228,0). That is enough to determine A and B:
(2) height 204 m from the center: 7.58 m
Steps:
Height at 204 m off the center (either direction) can be calculated by plugging in x=204 into the above equation:
Answer:
55
Step-by-step explanation:
Factors for 605: 1, 5, 11, 55, 121, and 605
Factors for 55: 1, 5, 11, and 55
So the highest common factor they have is 55.
HCF = 55
(-1.5,3) Y=3 which is up 3 and a horizontal line and 2x+y=0 can be written as y=-2x so in order to get -1.5 you have to make y=3 cause y=3 and when you do that it should look like 3/-2=-2/-2x so x=-1.5