Answer:
x = - 5, x = - 3
Step-by-step explanation:
Given
x² + 15 = - 8x ( add 8x to both sides )
x² + 8x + 15 = 0 ← in standard form
Consider the factors of the constant term (+ 15) which sum to give the coefficient of the x- term (+ 8)
The factors are 5 and 3, since
5 × 3 = 15 and 5 + 3= 8, thus
(x + 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x + 3 = 0 ⇒ x = - 3
Answer:
(1,-1)
Step-by-step explanation:
The solution to a system of equation means the x and y values if we were to solve both equations (of lines) simultaneously.
That is also known as the intersecting points.
The top-right part is known as the 1st Quadrant in a coordinate system.
Top-left is 2nd Quadrant.
Bottom left is 3rd Quadrant.
Bottom right is 4th Quadrant.
The values of x and y (positive or negative) of each quadrant is shown below:
- Quadrant 1: x +ve, y +ve
- Quadrant 2: x -ve, y +ve
- Quadrant 3: x -ve, y -ve
- Quadrant 4: x +ve, y -ve
The intersection point (solution) of the 2 lines shown is in the 4th quadrant, which has x values positive and y values negative.
From the answer choices, we see that 3rd answer choice goes with this -- (1,-1), so this is the correct choice.
Answer: 49
Step-by-step explanation:
The missing constant term in the perfect square is 49.
x^2 + 14x + 49
We need a squart root of something to make the factor add up equal to 14x. If it's a perfect square, we could divide 14 by 2, 14/2 = 7, and we multiply 7^2, we get 49, which is a perfect square.
Answer:
45 square units
Step-by-step explanation:
You can cut the yellow figure into a triangle (4 by 5) and a rectangle (7 by 5).
Using the formula 
and 
area formulas, we get:
The area shaded in yellow is 45 square units
You can use the quadratic equation to solve this once you have this set equal to zero. The answers would be roughly 9.6 and -0.6.
