The answer is about 12.5 (when rounded to the nearest 10th).
This can be found using the distance formula between each point. One distance is 5, one is
and one is
. Added together gives you the answer above.
Answer: 
Step-by-step explanation:
We have the following function:
And we have to evaluate it when 
, this means we have to substitute 
by 
:
Solving:
Finally:
Answer: see attachment
<u>Step-by-step explanation:</u>
Since A = C = 105° and D = 60°,
then A + B + C + D = 360°
105° + B + 105° + 60° = 260°
B + 270° = 360°
B = 90°
Answer:
-21
Step-by-step explanation:
We are told to find f(x) + g(x) for x= -3. Therefore, we must evaluate f(-3) and g(-3), then add them together.
First, evaluate f(-3).
f(x)=4x-7
To find f(-3), we need to substitute -3 in for x.
f(-3)= 4(-3)-7
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction First, multiply 4 and -3.
f(-3)= -12-7
Next, subtract 7 from -12
f(-3)= -19
Next, find g(-3).
g(x)=2x+4
To find g(-3), substitute -3 in for x.
g(-3)= 2(-3)+4
Solve according to PEMDAS. First, multiply 2 and -3.
g(-3)= -6+4
Next, add -6 and 4
g(-3)= -2
Now, we can add f(-3) and g(-3) together.
f(-3) + g(-3)
f(-3)= -19
g(-3)= -2
-19 + -2
Add
-21
Answer:
x = 22/15
Step-by-step explanation:
17x - 6 + 3x - 5 = x + 11 + 4x
Combine like terms on each side.
20x - 11 = 5x + 11
Add 11 to both sides. Subtract 5x from both sides.
15x = 22
Divide both sides by 15.
x = 22/15
