Answer:
y+4=-(2/5)(x-5) ----> equation of the line into point slope form
y=-(2/5)x-2 ----> equation of the line into slope intercept form
2x+5y=-10 ----> equation of the line in standard form
Step-by-step explanation:
step 1
Find the slope of the given line
we have
5x-2y=-6
isolate the variable y
2y=5x+6
y=2.5x+3
The slope m of the given line is m=2.5
step 2
Find the slope of the line perpendicular to the given line
We know that
If two lines are perpendicular, then their slopes are inverse reciprocal each other
so
m1=5/2
the inverse reciprocal is
m2=-2/5
step 3
Find the equation of the line into point slope form
y-y1=m(x-x1)
we have
m=-2/5
point (5,-4)
substitute
y+4=-(2/5)(x-5) ----> equation of the line into point slope form
y=-(2/5)x+2-4
y=-(2/5)x-2 ----> equation of the line into slope intercept form
Multiply by 5 both sides
5y=-2x-10
2x+5y=-10 ----> equation of the line in standard form
15 is the GCF of 15 and 30, as 15 is the largest factor of 15 and 30.
Answer:
J=40º, K=60º, H=80º
Step-by-step explanation:
since all angles of a triangle add up to 180º, we can make an eqaution.
3x+2x+4x=180
9x=180
x=20
J=2x=20x2=40º
K=3x=20x3=60º
H=4x=20x4=80º
Answer:
20.
Step-by-step explanation:
P(5,3) = 5! / 3!
= (5*4*3*2*1) / (3*2*1)
= 20.
Answer:
*3x + 10y = 240*
Step-by-step explanation:
A look at the image attached will provide more clarification
