Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (4, 9) and (x₂, y₂ ) = (12, 20)
m =
=
→ C
ANSWER
A. -3, -2, 2, and 3
EXPLANATION
The given polynomial function is,

To find the real roots, we equate the function to zero to obtain;

We can solve this equation as a quadratic equation in

Thus we rewrite the equation as,

We split the middle term to get,

We factor to get,

We factor to get,

Either

or




The correct answer is A
Answer:
The exact interest on $5,870 at 12% is $410.9
Step-by-step explanation:
From the information provided we know that
Principal amount: $5,870
Interest rate: 12% -> 0.12
Time: 7 months (From June to December)
When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:

where P is principal, r is the rate of interest and t is the time in years.
We need to convert the 7 months into 1 year.

Now we can use the above formula

Therefore the exact interest on $5,870 at 12% is $410.9
Answer:
K(-4,8) is the ortho center.
Step-by-step explanation:
In a right angled triangle, The vertex of the right angle is the ortho center.
Here we are given
J(-4,-1), K(-4,8) & L(2,8)
Using distance formula we get



So we can say that

By converse of pythagorean theorem we get

Hence the Vertex of the right angle is K(-4,8)
K(-4,8) is the ortho center.
Answer:
g(x)=x+6
Step-by-step explanation:
we have
f(x)=x+8
If f(x) is shifted 2 units to the right
then
The rule of the translation is
g(x)=f(x-2)
so
g(x)=(x-2)+8
g(x)=x+6