What is the distance between (4,5) and (10,13) on a coordinate grid

Mathematics

2 answers:

Anni [7]3 years ago

6 0

Its an application of Pythagoras theorem:

distance = sqrt ( (10-4)^2 + (13-5)^2)

= sqrt ( 36 + 64)

= sqrt 100

= 10 answer

sleet_krkn [62]3 years ago

4 0

The distance between (4,5) and (10,13) is 10 cm on a coordinate grid.

You can mark the points and measure the distance using a scale/ruler.

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Two bowls and one cup weigh 800 grams. One bowl and two cups weigh 700 grams. Find the weight of the bowl and the cup

antoniya [11.8K]

Answer:

\large \boxed{\textbf{Bowl = 300 g; cup = 200 g}}

Step-by-step explanation:

Let b = the mass of a bowl

and c = the mass of a cup

We have two conditions:

$\begin{array}{lrcl}(1) &2b + c & = & 800\\(2) & b + 2c & = & 700\\\end{array}$

Calculations:

$\begin{array}{lrcll}(3) & 4b + 2c &= & 1600&\text{ Multiplied (1) by 2}\\& 3b & = & 900&\text{Subtracted (2) from (3)}\\(4) & b & = & \mathbf{300}&\text{Divided each side by 3}\\ & 600 + c & = & 800&\text{Substituted (4) into (2}\\ & c & = & \mathbf{200}\\\end{array}\\\text{The mass of a bowl is $\large \boxed{\textbf{300 g}}$ and that of a cup is $\large \boxed{\textbf{200 g}}$}$