Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)
m =
=
= - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1) , then
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = - 3x + 7 ← equation of line
Answer:
1/9, decimal form = 0.1 repeating
Answer:
Step-by-step explanation:
The total number of marbles is 24 + 36 + 60 = 120
Red: 24/120 = 1/5
Blue: 36/120 = 6/20 = 3/10
Yellow: 60 / 120 = 1/2
Answer:
B=95°
E=95°
D=20°
C=65°
BC=7cm
Step-by-step explanation:
the triangles look like they are identical, just different in size only. Since DE= 15 and AB=10 that may mean that they have a 5cm difference making side BC= 7cm since EF= 12 minus 5 equals 7cm. Now for the other angles, a triangle no matter what,if we put all their angles together equal 180°. We already know angle A= 20 so the same applies to angle D. We also know that angle F=65 degrees, that makes angle C the same. The only thing that's left are angles B and E that can be found by adding our other angles. So if A+C(20+65)=85 then 180-85=95 degrees is angle B and since the triangles are identical the same goes to E.
Answer:32years old
Step-by-step explanation:
R= 2c+5
R+C= 101
2c+5+c=101
3c+5=101
3c=96
c=32