Since we want it in the form: (x - a)², let's first expand (x - a)² and then equate for the coefficients.
(x - a)² = x² - 2ax + a²
x² + 4x - 15 = x² - 2ax + a²
Now, let's focus on the middle term.
4x = -2ax
4 = -2a
a = -2
Thus, we know that a = -2
Then, we can say (x + 2)² = x² + 4x - 15
x² + 4x + 4 = x² + 4x - 15
Thus, 19 units are needed in order to complete the square to produce:
(x + 2)²
Answer:
1. y = 0, b/a
2. y = 0, a/b
3. y =0, c/b
4. y =0, c/a
Step-by-step explanation:
The slope formula for y = mx + b which is known as standard form is Ax + By ≥ C
slope = A/B
x-intercept = C/A
y-intercept = C/B
and now we are dueling with y, so we will use y-intercept
1. cx + ay = b
where c is x, a = y and b=c
Y-int = C/B
y = 0, b/a
2. cx + by = a
y = 0, a/b
3. ax + by = c
y =0, c/b
4. bx+ ay = c
y =0, c/a
Hope this helps
Answer:
19.47
Step-by-step explanation:
Use the law of sines.
sin(90)/6 = sin(x)/2
Multiply both sides by 2
2 * sin(90)/6 = sin(x)
Use a calculator
0.33333 = sin(x)
sin^-1 0.3333 = 19.47
Answer:
The numbers are 9, 7, 4, 11
Answer: 7:3
Step-by-step explanation:
15 chairs are red
35 are blue
35:15
Simplifies to
7:3