<span>(14+x)^2= 25^2 +x^2
14^2 + 28x + x^2 = </span><span>25^2 +x^2
28x = 25^2 - 14^2
28x = 625 - 196
28x = 429
x = 15.32</span>
Answer:The distance from a point to a line is
distance(ax+by+c=0,(x0,y0)) = abs(ax0+by0+c)/sqrt(a^2+b^2)
So first convert the formula for the line to standard form
5x+2y=4
5x+2y-4=0
a=5, b=2, c=-4, x0=15, y0=-21
Step-by-step explanation:
Answer:
Grand coffee cup = 1469 gm
Jumbo coffee cup = 60 gm
Step-by-step explanation:
Let x be the grande coffee cup and y be the jumbo coffee cup.
Solution:
From the first statement. They served 23 grande cups and 51 jumbo cups of the new coffee today, which equal a total of 36,846 grams.
So, the equation is.
---------(1)
From the second statement. They served 58 grande cups and 68 jumbo cups of the new coffee tomorrow, which equal a total of 59460 grams.
----------(2)
Solve the equation 1 for x.


---------(3)
Substitute
in equation 2.




Using cross multiplication.


y ≅ 60 gram
Substitute y = 60 in equation 3.



grams
Therefore, grand coffee cup = 1469 gm and jumbo coffee cup = 60 gm
Answer:
y = x² + 3x
Step-by-step explanation:
y = (x * x) + (3 * x)
y = x² + 3