Answer:
Put the equation in standard form by bringing the 4x + 1 to the left side.
7x2 - 4x - 1 = 0
We use the discriminant to determine the nature of the roots of a quadratic equation. The discriminant is the expression underneath the radical in the quadratic formula: b2 - 4ac.
b2 - 4ac In this case, a = 7, b = -4, and c = -1
(-4)2 - 4(7)(-1)
16 + 28 = 44
Now here are the rules for determining the nature of the roots:
(1) If the discriminant = 0, then there is one real root (this omits the ± from the quadratic formula, leaving only one possible solution)
(2) If the discriminant > 0, then there are two real roots (this keeps the ±, giving you two solutions)
(3) If the discriminant < 0, then there are two imaginary roots (this means there is a negative under the radical, making the solutions imaginary)
44 > 0, so there are two real roots
<span>m∠CAD = 90 + 25 = 115
answer
</span><span>d.) 115º</span>
Answer:
16
Step-by-step explanation:
so in this equation we have 2 variables, and we must figure out what those variables mean:
y: "y" is the total amount of money joe has after subtracting his debt from it
x: "x" is the # of months as the cost of each month(30) is placed just before this variable
as y is the total amount of money joe has we need to substitute it for 230 to figure out how long it took for joe to recieve that much money
230=30x-250
480=30x
x=16
it took joe 16 months to get $230
Distance = √(x₂-x₁)² + (y₂-y₁)²
d = √(-11-(-11)) + (5-(-20))²
d = √0² + 25²
d = √625
d = 25
In short, Your Answer would be 25 units
Hope this helps!
Answer:
d=3
Step-by-step explanation:
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