Step-by-step explanation:
around the world which is
2 1/4 which = 9/4 because 2×4=8 and 8+1=9 = 9/4 and then you divide it and see what you get
Answer:
El punto de intersección con el eje “y” será (0 ; 8).
Step-by-step explanation:
En este caso la función es f(x)= -3*x + 8, o lo que es lo mismo, y= -3*x + 8
Para encontrar la intersección en y, se debe sustituir a la variable x por 0 por en la función. Una vez hecha la sustitución, es posible resolver la ecuación para encontrar el valor de y.
En este caso:
y= -3*0 + 8
Resolviendo:
y= 0 + 8
y= 8
Otra forma de resolverlo es, siendo la función f(x)= m*x + b (donde m es la pendiente y b la ordenada al origen), el valor b es el punto donde una recta cruza el eje y. En este caso la ordenada al origen tiene un valor de 8.
Entonces <u><em>el punto de intersección con el eje “y” será (0 ; 8).</em></u>
Answer:
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Step-by-step explanation:
From statement we know all sides of the triangle (
,
,
), but all angles are unknown (
,
,
). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.
If we know that
,
and
, then the missing angles are, respectively:
Angle A
(1)

![A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right]](https://tex.z-dn.net/?f=A%20%3D%20%5Ccos%5E%7B-1%7D%5Cleft%5B%5Cfrac%7B16%5E%7B2%7D%2B11%5E%7B2%7D-19%5E%7B2%7D%7D%7B2%5Ccdot%20%2816%29%5Ccdot%20%2811%29%7D%20%5Cright%5D)

Angle B
(2)

![B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right]](https://tex.z-dn.net/?f=B%20%3D%20%5Ccos%5E%7B-1%7D%5Cleft%5B%5Cfrac%7B19%5E%7B2%7D%2B11%5E%7B2%7D-16%5E%7B2%7D%7D%7B2%5Ccdot%20%2819%29%5Ccdot%20%2811%29%7D%20%5Cright%5D)

Angle C



The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Solution:
The Preimage function is , F(x)=|x|
Consider a point (a,b) on the function, F(x)=|x|. it means
b=|a|-----(1) satisfies the function.
Now the function F(x)=|x| is vertically stretched by 5 units.It means
x=a , y= b+5
x=a, b=y-5
So, putting the value of a and b in equation (1).
y-5=|x|
y= |x| + 5 is vertical stretch of y= |x| by 5 units.
Option A, because you split the (2x + 3) into 2x and 3.