$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 4}}\quad ,&{{ 7}})\quad 
% (c,d)
&({{ 2}}\quad ,&{{ 2}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{(2-4)^2+(2-7)^2}\implies d=\sqrt{(-2)^2+(-5)^2}
\\\\\\
d=\sqrt{4+25}\implies d=\sqrt{29}$

7 0

3 years ago

There are 6/8 of a cake leftover after a birthday party. How many 1/4 pieces can be made from the leftover cake?

marishachu [46]

Answer: 3

Step-by-step explanation:

6/8 is the same as 3/4;

there are 3 lots of 1/4 in 3/4

5 0

3 years ago

Read 2 more answers

the elves were working when the head elf came in and there was only 2 weeks left until christmas. what percentage of the month w

valentina_108 [34]

Answer:

45 %

Step-by-step explanation:

Time left until Christmas = 2 weeks

= 2 * 7 days [since 1 week = 7 days]

= 14 days

Number of days in December = 31

Percentage of the month left before Christmas = $\frac{Time left until Christmas}{Number of days in December} * 100$

= $\frac{14}{31} * 100$

= 0.45 * 100

= 45 %

4 0

4 years ago

Bananas cost $3 a bunch and apples cost $0.50 each. If b represents the number of bunches of bananas and a represents the number

aliina [53]

3b + 0.5a

the variables b and a are unknown values that represent the number of bananas and apples to be bought. These are next to each of its prices for it to be multiplied once we know the variable.

The costs of the fruits are to be added and you will end up with the total cost of fruits.

7 0

3 years ago