Answer:
B
Step-by-step explanation:
draw a right angled triangle with the right angle in the bottom left
label P as the bottome left corner and write its coordinates next to it
do same with Q
the length of the triangle is 4 (8-4 = 4)
the height is 10 (12-2 = 10)
use pythagoras to work out the hypotenuse:

You didn't post any option, but the ration roots theorem states that all possible rational roots of a polynomial come in the form

where p divides the constant term and q divides the leading term of the polynomial. So, in your case, p divides 3 (i.e. it is 1 or 3), and q divides 5 (i.e. it is 1 or 5).
So, the possible roots are

For the record, this parabola has no real roots.
It has to be -912 because i checked on a caculator
To solve this problem, we can set two equations.
Let x be the cost of coffee and y be the cost of latte.
Two coffees and one latte: 2x + y = 10.50
y=10.50 - 2x ...(1)
Three coffees and two lattes: 3x + 2y = 17.00...(2)
Put (1) into (2), we have:
3x + 2(10.50-2x) = 17.00
3x + 2(10.50) - 2(2x) = 17.00
3x + 21 - 4x = 17
Put the unknown to one side:
3x -4x = 17 - 21
-x = -4
When there are negative numbers on both sides, we can take the negative signs away:
x= 4
Therefore, cost of one coffee is A. $4.00.
Hope ot helps!
Answer:
Answer:
Pythagoras law:h²=p²+b²
needed to apply
4²+8²=12²
80≠144 not a right angled triangle
again
2²+√5²=3²
9=9/
<em><u>side</u></em><em><u> </u></em><em><u>are</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>right</u></em><em><u> </u></em><em><u>angled</u></em><em><u> </u></em><em><u>triangle</u></em>
again
2²+2²=(√8)²
4+4=8
8=8
<em><u>side are a right angled triangle</u></em>