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
abs(5*15+2*(-21)-4)/sqrt(5*5+2*2)
= abs(75-42-4)/sqrt(25+4)
= 29/sqrt(29)
= sqrt(29)
= 5.385165 (approximately)
Answer:
8x^6-10x^5+4x^4-5x^3-4x+5
Step-by-step explanation:
Lest distribute the expression given
this is multiply the first term (4x) with the longer expression (2x^5+x^3-1) and then, multiply the second term (-5) with the longer expression (2x^5+x^3-1).
When the above is finish, simply sum all together.
4x* (2x^5+x^3-1)= 8x^6 +4x^4-4x
-5*(2x^5+x^3-1)=-10x^5-5x^3+5
The sum of all together (respecting the coefficient they belong) is shown:
8x^6-10x^5+4x^4-5x^3-4x+5
Answer:
d = 6.997 or 7
Step-by-step explanation:
Use Pythagorean Theorem to find the diagonal of the end of the prism
2^2 + 3^2 = C^2 Simplify
4 + 9 = C^2 Add
13 = C^2 Take the square root of both sides
3.6 = C
Now plug this into the Pythagorean Theorem equation for the diagonal of the whole prism.
3.6^2 + 6^2 = d^2 Simplify
12.96 + 36 = d^2 Add
48.96 = d^2 Take the square root of both sides
6.997 = d This can be rounded up to 7, if needed
Answer:
Yes
Step-by-step explanation:
The answer is proportional because the variables correspond directly to each other.
1=225
2=450
3=675
4=900
