Hello,
The simpliest quadratic function is y=(x+3)(x-1)
or y=x²+2x-3
Answer: They are parallel
Step-by-step explanation:
If two lines are parallel , then they must have the same slope and if two lines are perpendicular , the product of their slope must be -1.
To check this , we must calculate the slope of the two lines given.
Slope = 
from the first point
= 2
= 1
= 5
= -1
substituting the values
slope 1 = 1 - 2 / -3 - 5
slope1 = -1 / -8
slope 1 = 1/8
Using the same format to calculate the slope of the second line
= -2
= 0
= -1
= 15
slope 2 = 0 - (-2) / 15 - (-1)
slope 2 = 2/16
slope 2 = 1/8
Since slope 1 = slope 2 , this implies that the lines are parallel
Answer:
x = 6 2/3 The supplementary pair of angle is 78 degree and z = 112degree = 180 degree First step is where we can also see z its opposite angle is vertical opposite angle to 112 degree given and label as vertical angle - where we see a line through the 180 degree line at any angle we can call the pair supplementary- Pairs OR sets of angles an only be called consecutive when they are grouped with a set of parallel line across a straight line and it is only because they add up to 180 they could be either terms so as there isn't parallel shown ; <u>we know we an call a pair of angles upon a straight line supplementary.angles. </u>
Step-by-step explanation:
6 x +38 (+112) = 180 degree as angles on a straight line add up to 180 6 x +38 (+112) = 180 6 x +140 = 180 6 x + 140- 140 = 180-140 6 x = 40 x = 40/6 x = 6.66666667 x = 6 2/3 <u> </u><u>Proof (6( 6 2/3)) + 38 + 112 = 180</u> = (40+38)+112 = 180 = 78 +112 = 180 Proves the supplementary angle is 78 degree.
Answer:
$23.11
Step-by-step explanation:
We can use a proportion to find the meal tax
7 : 100 = x : 21.60
x = (21.60 * 7)/100 = $1,512
Final cost = 21.60 + 1,512 = $23.11
Answer:
72 formas
Step-by-step explanation:
Primero vamos a calcular de cuántas formas se puede organizar los 5 cubos en una columna utilizando la regla de la multiplicación:
5 * 4 * 3 * 2 * 1 = 120
Porque tenemos 5 cubos para poner en la base de la columna, luego 4 cubos para la segunda posición de la columna, luego 3 cubos y así hasta organizar todos los cubos.
Luego vamos a calcular de cuántas formas podemos organizar los 5 cubos de tal forma que los cubos azules se toquen entre sí. Para esto vamos a contar los dos cubos azules como si fueran uno solo, es decir, sólo tendríamos "4 cubos" y podríamos organizar los cubos de 24 formas distintas:
4 * 3 * 2 * 1 = 24
Por otro lado, los 2 cubos azules pueden ser organizados de dos formas diferentes: primero el claro y luego el oscuro o primero el oscuro y luego el claro.
Es decir que hay 24 formas distintas de organizar los cubos en donde primero va el claro y luego el oscuro y hay 24 formas de organizar los cubos en donde primero va el oscuro y luego el claro.
Esto significa que de las 120 formas de organizar los 5 cubos, 48 formas tienen los cubos azules juntos y en 72 (120-48) formas los dos cubos azules no se tocan entre sí.
