Use subtitution method to solve the problem.
First, change y to the value of x in order to find the exact value of x.
x + y = 4
y = 4 - x
Second, subtitute y with 4 - x from the first equation
y = -x² + 2x + 4
4 - x = -x² + 2x + 4
move all terms to the left side
x² - 2x - x + 4 - 4 = 0
x² - 3x = 0
x(x - 3) = 0
x = 0 or x = 3
Third, now we have 2 values of x. Find the value of y for each of x
For x = 0
y = 4 - x
y = 4 - 0
y = 4
For x = 3
y = 4 - x
y = 4 - 3
y = 1
The solution is (0,4) and (3,1). The answer is option b
These are the steps for transforming y=1/x to y=1/4x -12:
Step 1: Compress the original function by 4 in x direction. This will yield,
y= 1/4x
Step 2: The resulting function in step 1 is moved down by 12 spaces. The resulting function will be;
y= 1/4x -12
The correct answer is 9.481.
Hope this helps.
Brainliest would be appreciated.
Answer:
7.) 16.7
Step-by-step explanation:
7). First you have to find the length of the line with the triangle that is at a 90 angle with the longest side of the triangle
Using the pythagrorem theorem a² + b² = c²
4² + b² = 5²
b² = 5² - 4²
b² = 25 - 16
b² = 9
√b² =√9
b = 3
next you do the same thing to find the missing segment of the longest side
3² + b² = 13²
b² = 169 - 9
b² = 160
b = √160 or ≈ 12.7
12.7 + 4 = 16.7
so 16.7 is the length of that side
Answer:
-480
Step-by-step explanation:
If f varies directly as g, and inversely as h, then we can write the variation equation:
, where k is the constant of variation.
If g=56 when h=-2 and f=-7, then we substitute these values into the formula to find the value of k.
The equation now becomes:
if f=10 and h=-12, then;
The correct answer is B.
