The equation of a line in slope-intercept form is equal to
y=mx+b
where
m is the slope
b is the y-intercept
we have
m=-5/2
point (4,-3)
substitute in the expression above
-3=-(5/2)(4)+b
solve for b
-3=-10+b
b=10-3
b=7
therefore
the equation of the line is
<h2>y=-(5/2)x+7</h2>
Step-by-step explanation:
Pythagoras Theorem
If the sum of the squares of the smaller two sides is equal to the square if the third side then it is a right triangle

So, (5)^2 + (12)^2
is 25 + 144 = 169
Which is equal to (13)^2 which is also 169
The sides of the given triangle follows pythagoras theorem, therefore it is a right triangle
Hope it helps:)
Answer:
first in the ratio (when expressed in words), its number must come first in the ratio
Step-by-step explanation:
It’s 24 because it’s half of base times height
Answer: x=32
Step-by-step explanation: 3x+18=114
We move all terms to the left:
3x+18-(114)=0
We add all the numbers together, and all the variables
3x-96=0
We move all terms containing x to the left, all other terms to the right
3x=96
x=96/3