The value of x in the given quadratic equations is either -2.7 or -11.3.
<h3>What are quadratic equations?</h3>
A quadratic equation is a second-degree algebraic equation in x. ax² + bx + c = 0, where a and b are coefficients, x is the variable, and c is the constant term, is the quadratic equation in its simplest form.
Given first equation, y = x²- 6x + 4 second equation, y = x +1
Put the value of y in the first equation to get
x + 1 = x² - 6x + 4
Solving this equation
x² - 7x + 3 = 0
Using quadratic formula,
x = - b ± 
x = - 7 ± 
x = - 7 ± 4.3
Therefore in the given quadratic equations, the value of x can be either -2.7 or -11.3
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This question is essentially just determining whether you understand the definition of integers and square roots. The square root of a quantity is a number that when multiplied with itself gives that quantity. The square root of 68 is expressed as:
√68 = 8.25
The square root of 68 is roughly 8.25. Now, an integer is simply a whole number, which is a number that is not a fraction. Therefore, the smallest integer that is greater than 8.25 is simply the next whole number, which is 9.
The smallest integer greater than the square root of 68 is 9.
Answer:
25 mph
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Answer:
x ∈ {-26, 22}
Step-by-step explanation:
A graph shows that the points (-26, -27) and (22, -27) lie on a circle of radius 40 centered at (-2, 5). That is, if Q is either one of these points, the vector PQ will have a length of 40:
- √((-26-(-2))^2 +(-27-5)^2) = √((-24)^2 +(-32)^2) = √1600 = 40
- √((22 -(-2))^2 +(-27 -5)^2) = √(24^2 +(-32)^2) = √1600 = 40
You can call it -40 if you like, but you have to define what negative length means when you do that.
