2.8 or if rounded to the nearest tenth so 2.8√8
R(–3, 4)
Step-by-step explanation:
Let Q(-9,8) and S(9,-4) be the given points and let R(x, y) divides QS in the ratio 1:2.
By section formula,
Here, 
Substituting this in the section formula
To simplifying the expression, we get
⇒ R(x,y) = R(–3,4)
Hence, the coordinates of point R is (–3, 4).
Answer:
22 3/4 ft
Step-by-step explanation:
The diagram seems to show a 6 1/2 ft person casting a 9 ft shadow at the same time a flagpole is casting a 31 1/2 ft shadow. You want the height of the flagpole.
<h3>Proportion</h3>
Shadow lengths are presumed proportional to the height of the object making them. This means ...
h/(31 1/2) = (6 1/2)/9 . . . . . all lengths in feet
Multiplying by 31 1/2, we get ...
h = (31 1/2)(6 1/2)/9 = (819/4)/9 = 91/4
h = 22 3/4 . . . . ft
The flagpole is 22 3/4 feet tall.
Lets write the problem info into an equation and solve step by step:
7(1/3 + 4/5)
the minimum common multiple of 3 and 5 is 15, so we multiply and divide the fractions by a proper number to convert them to be divided by 15 so is easier to add them:
<span>(1/3)(5/5) = (1*5)/(3*5) = 5/15
(4/5)(3/3) = (4*3)/(5*3) = 12/15
</span>so we substitute in the original equation:
7(1/3 + 4/5<span>)
</span>= 7(5/15 + 12/15<span>)
= 7(17/15)
= (7*17)/15
= 119/15</span>
Answer:
Any negative number would be a counterexample.
Step-by-step explanation:
Since negative numbers get smaller as you multiply them by a larger number, this would prove this conjecture false.
