Answer:
10 inches
Step-by-step explanation:
Answer:
See explanation below.
Step-by-step explanation:
A number bond shows what two parts add to make the number. The 1 in the bigger circle is equal to the two small circles each 1/2.
On the number line you have drawn from 0 to 1 a bar. This is the whole number. Divide the bar with one line exactly at the half.
This now shows that two bars or 1/2 + 1/2 becomes 1 big bar or 1. This shows the same relationship as the number bond.
When you write an equation in the slope-intercept form

the two coefficients m and b represent, respectively, the slope and the intercept.
So, in your case, m=1/4 and b= -7, which leads to the equation

Check the picture below.
notice the sides, now, on the second triangle, side 6 slants a bit more to fit in 13, on the third triangle, side 6 slants even further to fit 13 in, now, if 6 were to slant completely, it'll make a flat-line with side 5, and there will be a triangle no more.
but even if side 6 would stretch to a flat-line, 5+6 is just 11, whilst side 13 is longer than that, so no dice.
Solution: The missing reason in Step 8 is substitution of
.
Explanation:
The given steps are used to prove the formula for law of cosines.
From step 5 it is noticed that our equation is
..... (1)
From step 7 it is noticed that the value of
is
.
So by substituting
for
in equation (1) we get the equation of step 8, i.e.,

Hence, the missing reason in Step 8 is substitution of
.