Answer:
A) 5x = y
B) 
Step-by-step explanation:
A is 5x = y because there are 5 pink hearts per the number of boxes (x) bought.
B uses the equation 2x is less than or equal to 100 because the teacher is spending 2 dollars per kid and can spend a maximum of 100.
The graph for this is attached.
Perimeter=4h+4
If the base is 2 more than the height, it gives us the equation:
b=h+2
The equation for the perimeter of a rectangle can be though of as 2b+2h, so substituting in (h+2) for b from the first equation, we get 2(h+2)+2h.
This can be simplified to be 2h+4+2h or 4h+4
The correct answer would be the 3rd one because the number simplified equals that
Answer:
Step-by-step explanation:
Using the formula for calculating the distance between 2 points.
D = √(x2-x1)²+(y2-y1)²
Given
D = 45 units
The coordinates Q(–1, a) and P(3,2)
45 = √(3-(-1))²+(-2-a)²
45 = √4²+(-2-a)²
45 = √16+(-2-a)²
45² = 16+(-2-a)²
45² = 16+4+4a+a²
45² = 20+4a+a²
a²-4a+20-2025 = 0
a²+4a-2005 = 0
a = -4±√16+4(2005)/2
a = -4±√16+8020/2
a = -4±√8036/2
a = -4±90/2
a = -4+90/2
a = 86/2
a = 43
The possible values of a is 43
