Answer:12/7
Step-by-step explanation:
7b-4=8
7b-4+4=8+4
7b=12
b=12/7
Answer:
7:5
Step-by-step explanation:
49/7 = 7 and 35/7 = 5
to get a ratio, divide both side by the same number that is a facttor for both.
Answer:
P and Q are two points on the line x-y+1=0 and are at a distant of 5 units from the origin. Find the area of triangle POQ.
Step-by-step explanation:
P and Q are the intersection points of
x-y+1 = 0 and the circle x^2 + y^2 = 25
sub y = x+1 into the circle
x^2 + (x+1)^2 = 25
x^2 + x^2 + 2x + 1 - 25 = 0
x^2 + x - 12 = 0
(x+4)(x-3) = 0
x = 3 or x = -4
y = 4 or y = -3
so P(3,4) and Q(-4,3) are our two points
Height of triangle.
h = |0 - 0 + 1|/√2 = 1/√2
PQ = √( (-7)^2 + 1^2) = √50 = 5√2
area POQ = (1/2)(1/√2)(5√2) = 5/2 square units
hope this helped
Y = mx + b (m = 3) y-intercept (0,4)
y = 3x + 4
hope this helps, God bless!
<span>Postulates are helpful because it helps you plan and solve geometry problems.
That's my guess. It doesn't tell me in the text either.</span>