There are 20 boys in the class. The ratio is 4:3 so that means 4 out of 7 are boys and 3 out of 7 are girls. Divide 35 by 7 and you get 5. 5 times 4 is 20. 5 times 3 is 15. add them together and you have 35 students in total. So 20 students are boys and 15 students are girls.
Answer:
m = -1
Step-by-step explanation:
First write the line in slope intercept form y = mx+b where m is the slope and b is the y intercept
x-y = 6
subtract x from each side
-y = -x+6
Multiply each side by -1
y = x-6
The slope is 1
Perpendicular lines have slopes that multiply to -1
m * 1 = -1
m = -1
The slope of the perpendicular line is -1
Answer:
(-1,10)
Step-by-step explanation:
At the point when the paths cross, the respective x and y values of each equation will be equal.
Your path is y=2x+12, and your friends path is 4x+y=6. Sub 2x+12 in for y (from your path's equation) into your friends equation to find the value of x:
4x+2x+12=6
6x=-6
x=-1
y=2x+12
y=2(-1)+12=10
So you will cross paths at (-1,10)
1. Rotation by 180° (clockwise or anti-clockwise) about the origin has a rule:
(x,y)→(-x,-y).
Then
(-4,-10)→(4,10).
2. Translation 1 unit to the right has a rule:
(x,y)→(x+1,y).
Then
(4,10)→(5,10).
3. After rotation and translation the image of point (-4,-10) is point (5,10).
Answer: (5,10).
Step-by-step explanation:
Datos;
una locomotora
recorre 5 horas
a una velocidad de 82 km/h
Se asume que la locomotora lleva un movimiento rectilíneo uniforme.
Su recorrido esta descrito por la siguiente ecuación de posición;
x = x₀+ v · t
x-x₀ = d = v · t
siendo;
d = distancia recorrida
v = 82 km/h
t = 5 horas
Sustituir:
d = (82)(5)
d = 410 km
82km/h * 5h= 410km
La locomotora recorrerá 410km
