1. Slope intercept form. First find two points to get slope: (0,-3) and (-3,-4). Slope is
(-4 - -3)/(-3 - 0)= 1/3
Use one of the points of (x,y) to solve for b
Y=1/3x + b
-3 = 1/3(0) + b
-3 = b so your slope intercept equation is
Y = 1/3x - 3
2. Rate of Change is slope. Your points are (0,10) and (24,6) so slope is (6-10)/(24-0)
= - 1/6 which means that for each 1 unit increase in x, y decreases by 1/6.
3. Standard form is ax + by =c
Notice it is the same line as in the first graph so it's the same equation
y = 1/3x - 3
First, you cannot have fractions, so you have to multiply the equation by 3 to get rid of the 1/3.
3y= x - 9. Now move the x over:
-x + 3y = - 9. Now get rid of the negative value on x by multiplying the entire equation by -1:
x - 3y = 9
Answer:
40/100=2/5
2/5 is the answer.
Answer:
Least positive integer divisible by the numbers 2, 4, and 7 is 28
Step-by-step explanation:
We can find the least positive integer divisible by the numbers 2, 4, and 7 by taking the LCM
First lets List all prime factors for each number.
Prime Factorization of 2
2 is prime => 
Prime Factorization of 4 is:
2 x 2 => 
Prime Factorization of 7 is:
7 is prime => 
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 7
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 7 = 28
Resolviendo el sistema de ecuaciones veremos que:
- niña = 23kg
- niño = 28kg
- perro = 18kg.
<h3>
¿Como resolver el sistema de ecuaciones?</h3>
Aqui tenemos el sistema de ecuaciones:
Niña + niño = 51kg
Niño + perro = 46 kg
Niña + perro = 41kg
Para resolver esto, lo primero que debemos hacer es aislar una variable en una de las ecuaciones, por ejemplo, podriamos aislar "perro" en la tercera:
perro = 41kg - niña
Ahora reemplazamos eso en la segunda para obtener:
niño + (41kg - niña) = 46kg
niño - niña = 46kg - 41kg = 5kg
niño = niña + 5kg
Ahora logramos obtener la variable "niño" en terminos de la variable "niña". Podemos reemplazar esto en la primera ecuacion del sistema.
niña + niño = 51kg
niña + (niña + 5kg) = 51kg
2*niña = 51kg - 5kg = 46kg
niña = 46kg/2 = 23kg.
Ahora que sabemos esto, usamos las otras ecuaciones para encontrar el peso del niño y el perro:
niño = niña + 5kg = 23kg + 5kg = 28kg
perro = 41kg - niña = 41kg - 23kg = 18kg.
Sí quieres aprender más sobre sistemas de ecuaciones, puedes leer:
brainly.com/question/17174746
Answer:
47 feet per second
Step-by-step explanation:
35+(40X5)=235
235/5=47 feet per second
(47 feet per second is aproximately 32 mph.)
