Answer:
the distance in between is (0,5)
Answer:
Yes it can
Step-by-step explanation:
To check wether it's a right angle triangle we need to apply the Pythagoras theorem
h^2= a^2 +b^2
Hypotenuse is always the longest side so
5^2 = 3^2 + 4^2
This is correct, so the triangle is a right angle triangle
Answer from Gauthmath
Answer:
Below in bold.
Step-by-step explanation:
Area = 30 + 12x and area is also = to width * length so we need to look for factors of 30 + 12x.
30 + 12x = 6(5 + 2x)
So 6 and 5 + 2x is one possible answer.
3 and 10 + 4x is another.
12 and 2.5 + x is another.
If we multiply these pairs together we see that the result is
30 + 12x in each case.
Answer:
x=2
Step-by-step explanation:
this is just like the last one. since it is vertical it only includes the x value 2
Answer:
v = 7
is the value for which
x = (-21 - √301)/10
is a solution to the quadratic equation
5x² + 21x + v = 0
Step-by-step explanation:
Given that
x = (-21 - √301)/10 .....................(1)
is a root of the quadratic equation
5x² + 21x + v = 0 ........................(2)
We want to find the value of v foe which the equation is true.
Consider the quadratic formula
x = [-b ± √(b² - 4av)]/2a ..................(3)
Comparing (3) with (2), notice that
b = 21
2a = 10
=> a = 10/2 = 5
and
b² - 4av = 301
=> 21² - 4(5)v = 301
-20v = 301 - 441
-20v = -140
v = -140/(-20)
v = 7
That is a = 5, b = 21, and v = 7
The equation is then
5x² + 21x + 7 = 0