Answer:
y=8
Step-by-step explanation:
see the attached figure to better understand the problem
we have that
FH=FG+GH
FG=GH
step 1
Find the value of x
FG=GH
substitute the given values
4x+3=7x-12
solve for x
step 2
Find the value of y
FH=FG+GH
substitute the values
Answer:
A, C, D
Step-by-step explanation:
Remember: Exponents are simply repeated multiplication.
The exponent determines how many times to multiply the base number by itself.
Option 'A' and 'C' apply.
Option D applies because:
Answer:
-∞
As x approaches -∞, y=f(x) approaches -∞
Step-by-step explanation:
Given the function;
y = 0.5*6x
We want to determine the limit of y as x tends to minus infinity.
lim x→-∞ f(x) = lim x→-∞ y
y = f(x)
lim x→-∞ f(x) = 0.5*6(-∞)
lim x→-∞ f(x) = 3(-∞)
lim x→-∞ f(x) = -3∞ = -∞
As x tends to -∞, y=f(x) approach -3∞
But, three times minus infinity is still equal to minus infinity.
-3∞ = -∞
Therefore, As x approaches -∞, y=f(x) approach -∞
We name angles in three different ways:
(1) We can name angles by using THREE capital letters like: ABC or DEF. The middle letter is called the VERTEX of the angle. The above angles are read "angle ABC" and "angle DEF." This leads us to the second way we can name angles.
(2) We can name angles by using the vertex. For example, ABC, can also be called angle B; the same applies to DEF (we can call angle DEF angle E). Of course, if there's more than one angle sharing the same vertex this would be confusing!
(3) We can also name an angle by placing any number or symbol at the vertex in the INTERIOR of the angle. So, angles can also be called angle 1 or angle 2 or angle 4, etc.
