The last one
You’re completing the square here so you have to find (1/2b)^2. In this case it’s 1. So you have to add 1 to both sides. Then you have to solve for it
It becomes
(x-1)^2 = -7
Then you have to find the square root
(x-1) = √-7
x-1 = √7 √-1
x-1= ± i √7
x= 1 ±i √7
That’s your answer and d is the only one that matches with it
We have that
x²<span> + 3x = 24
</span><span>Group
terms that contain the same variable
</span>(x² + 3x) = 24
<span>Complete
the square. Remember to balance the equation by adding the same constants
to each side
</span>(x² + 3x+2.25) = 24+2.25
Rewrite as perfect squares
(x+1.5)² = 26.25
(+/-)[x+1.5]=5.12
(+)[x+1.5]=5.12----> x=5.12-1.5---> x=3.62
(-)[x+1.5]=5.12-----> x=-1.5-5.12---> x=-6.62
the answer is<span>
3.62, –6.62</span>
Answer:
a
Step-by-step explanation:
Answer:
-10 is an integer 3/1/4 is an rational -5.6 is rational but not and integer
Step-by-step explanation:
Answer:
The equivalent equation is correctly matched with a key feature of the graph is
y = 3(x + 2) highlights that the x-intercept is at -2.
Step-by-step explanation:
Given:

Solution:
The Given Equation is in Slope - Point Form i.e

Where,

On Comparing the given equation with above we get

Now we Know that
Intercepts:
The line which intersect on x-axis and y-axis are called intercepts.
There are two intercepts:
y-intercept: The line which intersect at y-axis. So when the line intersect at y-axis X coordinate is zero.
x-intercept: The line which intersect at x-axis. So when the line intersect at x-axis Y coordinate is zero.
For x-intercept
Put y = 0 in


∴ x-intercept of

x-intercept = -2
The equivalent equation is correctly matched with a key feature of the graph is
y = 3(x + 2) highlights that the x-intercept is at -2.