Emma's estimate is not reasonable because a serving of soup is typically about 1-2 cups and 2 quarts = 8 cups.
would you eat 8 cups of soup? no.
Okay, take a look at diagram 1 (I know it's rubbish I did it on paint :D), this shows all the information you've given in the question. The two coordinates and the distance between them.
Now if we draw additional lines on this diagram, we can make a right-angled triangle (this is on diagram 2). We can also work out the lengths of the additional sides because we know both coordinates at the end-points of the additional lines.
Finally because this is a right-angled triangle, Pythagoras' theorem must apply to its sides meaning



therefore x=5.
Answer:
I will try:
Step-by-step explanation:
Note: ∈ means 'belongs to the set of' and <em>R</em> is 'the set of all real numbers'
Inequality:
- Domain is: x ∈ <em>R</em>
- Range is: x ≥ -2
Set:
-Domain is: {x| x ∈ <em>R</em>}
- Range is: {y| y ≥ -2}
Interval:
- Domain is: (-∞,∞)
- Range is: [-2, ∞)
g(x) is stretched by a factor of 4 and translated 2 units down.
1) First find the coordinates of the shape:
G(-1, -2), F(-1, -1), E(2,2), D(2, -2)
2)It asked for dilation of 2 about the origin.
<u><em>*What is dilation?</em></u>
<em>Dilation is the expanding/enlarging a transformation by a scale factor</em>
Now we multiply all the coordinates with the factor of 2
G(-1*2, -2*2) = G'(-2, -4)
F(-1*2, -1*2) = F'(-2, -2)
E(2*2, 2*2) = E'(4, 4)
D(2*2, -2*2) = D'(4, -4)
3) Now plot these points and graph the transformation:
Answer: t is less than or equal to 7.
Step-by-step explanation:
6t - 3 is less than or equal to 39.
Add 3 to both sides.
6t is less than or equal to 42.
Divide by 6.
t is less than or equal to 7.