Step-by-step explanation:
first step is to find the gradient of the line which "m" on the equation
gradient formula is y2 - y1 ÷ x2 - x1 = -½ as shown on the picture we substituted those points given
2nd step is to substitute on the equation y=mx+c
m= -½
y= 3 (you can choose any from those given points but in my case I chose point A)
x= -2
c= ? only unknown variable so we can can calculate it
substitute as shown on the picture to get c= 2
therefore our equation of the line will be y= -½x+2
The answer is B. 12 : 20
The numbers simply need to be simplified by 4 to reach 3 : 5.
12 / 4 : 20 / 4
3 : 5
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Answer:
speed=24km/h or 6.67m/s
Step-by-step explanation:
Given data:
time taken = t =43 hours
distance covered = d = 1032 km
to find:
speed of the ship = v =?
solution:
as we know that speed is defined as the distance covered by an object in unit time.Formula
speed = distance covered /time taken
speed = 1032km/43hours
speed =24km/h or in international system of units the answer is 6.67m/s
Answer:
x=70
Step-by-step explanation:
when added together, verticle angles equal 180 degrees.
2x-10+x+20=180
3x-10+20=180
3x-30=180
3x=210
x=70
Answer: 10 inches.
Step-by-step explanation:
We have to solve a system of equations.
The formula to calculate a triangle area is A = (b.h)/2
where b is the base and h is the height. This will be our first equation.
Since the height is 4 inches greater than the base, the second equation will be: h = b+4
We replace h and the value of the area (70 square inches) in the first equation, and we solve it by using the cuadratic equation formula:
70 = (b . (b+4)) / 2
70 . 2 = b² + 4b
140 = b² +4b
0 = b² + 4b - 140
The roots of this polynomial are -14 and 10. Since a distance can't be negative, the length of the base is 10 inches.