Answer:
x = -8
Step-by-step explanation:
y = 3x + 14
2x - 3y = -14
So, what is the substitution? Y of course, this is because y is equal to 3x + 14.
2x - 3 (3x + 14) = -14
Multiply 3 with the numbers in the parentheses.
2x - 9x + 42 = -14
So you maybe be wondering why it is a negative 7 instead of subtracting 9 with 2. Using PEMDAS, we always read from left to right. So it is basically 2 -9 and you get -7.
-7x + 42 = -14
Then subtract 42 from both sides.
-7x + 42 - 42 = -14 - 42
Simplify
-7x = -56
Divide 7 by both sides.
-7x / 7 = -56 / 7
x = -8
And you might ask, why we get x instead afterwards. This is because both -7 and 7 cancel each other out leaving us with x.
Answer:
i. The ratio of the areas of the two triangles is 5:8.
ii. The area of the larger triangle is 24 in².
Step-by-step explanation:
Let the area of the smaller triangle be represented by 
, and that of the larger triangle by 
.
Area of a triangle = 
x b x h
Where; b is its base and h the height.
Thus,
a. The ratio of the area of the two triangles is:
Area of smaller triangle = x b x h
= x 5 x h
= 
h
Area of the lager triangle = x b x h
= x 8 x h
= 4h
So that;
Ratio = 
= 
The ratio of the areas of the two triangles is 5:8.
b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;
=
=
5 = 15 x 8
= 120
= 
= 24
The area of the larger triangle is 24 in².
6 minutes/60minutes = 0.1 hrs
45miles/0.1hour = 450 miles per hour or mph
Answer:
I also got 27.44 mg.
Step-by-step explanation:
Use the function given to you:
A(t)=le^rt
l: Initial Amount (50)
r: Rate (-.1) (Negative because the medicine is exiting the bloodstream at 10% per hour
t: 6 (the specific time value you are evaluating the function at.
A(6)=50e^-.1(6)=27.44
You can answer this question by plugging the given values into point-slope form, which is y - y_{1} = m (x - x_{1}). M will represent slope and x_{1} and y_{1} will represent the x and y coordinates.
y - y_{1} = m (x - x_{1}) Substitute in the values
y - (-5) = 4 (m - 4) Cancel out the -(-5)
y + 5 = 4 (m - 4) Use the Distributive Property
y + 5 = 4m - 16 Subtract 5 from both sides
y = 4m - 21
