Answer:
A
Step-by-step explanation:
If we distribute the 3 to the equation in the parenthesis, we end up with this
12h + 6k
Now, let's do the same thing for the other two equations
3(2k + 4h) = 6k + 12h
You can rearrange this equation to look like 12h+ 6k, making it the exact same as 3(4h + 2k).
So A is equivalent
How about B?
3(4h + 2h) = 12h + 6h = 18h
18h does not equal 12h + 6k, so B is not equivalent
Answer:
slope = - 
Step-by-step explanation:
Parallel lines have equal slopes thus the slope of a parallel line will be equal to the slope of PQ
To calculate slope m use the slope formula
m = 
with (x₁, y₁ ) = P(- 2, 4) and (x₂, y₂ ) = Q(6, - 2)
m =
=
= - 
Let the number be x
2/3*x - 2 = 10
or, 2/3 * x =12
or x= 12*3/2
or, x = 18
Answer:
153,997 Labrador Retrievers
Step-by-step explanation:
Let's make an equation for this problem. We know that there were 9,860 Great Danes. The number of Labrador Retrievers was 6,997 more than 15 times the number of registered Great Danes. More than can be changed to a plus sign. 15 times the number of Great Danes is 15 times 9,860. The equation is now 15*9,860 + 6,997.
15*9,860 is 147,900
147,900 + 6,997 is 153,997.
Answer: the distance of the base of the house to the foot of the ladder is 6.84 feet
Step-by-step explanation:
The scenario is shown in the attached photo.
Right angle triangle ABC is formed when the ladder leans against the wall of the house.
AC = the height of the ladder
AB = x feet = distance of the base of the house to the foot of the ladder
BC is the wall of the building.
To determine x, we will apply trigonometric ratio
Cos # = adjacent/hypotenuse
Where
# = 70 degrees
Hypotenuse = 20
Adjacent = x
Cos 70 = x/20
x = 20cos70
x = 20 × 0.3420
x = 6.84 feets