Help with this pleaseeee
1 answer:
Answer:
(- 3, 37) and (- ,
)
Step-by-step explanation:
Given the 2 equations
2x² - y + 19 = 0 → (1)
y + 11x = 4 → (2) ← subtract 11x from both sides
y = 4 - 11x → (3)
Substitute y = 4 - 11x into (1)
2x² - (4 - 11x) + 19 = 0
2x² - 4 + 11x + 19 = 0
2x² + 11x + 15 = 0 ← in standard form
(2x + 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = -
x + 3 = 0 ⇒ x = - 3
Substitute these values into (3) for corresponding values of y
x = - : y = 4 +
=
⇒ (-
,
)
x = - 3 : y = 4 + 33 = 37 ⇒ (- 3, 37 )
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The hexagon divides the circle into 6 parts. That means the angle projecting each side is: 360°÷ 6 = 60°
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I would then use SOH CAH TOA to solve for the side.. knowing the hypotenuse is the radius and the angle to split it into a right triangle is 30°
Sin(30) = s/5
5*Sin(30) = s
12*s = perimeter hexagon
(remember s is half the hexagon side)
12*5*Sin(30) = perimeter hexagon
30 inches = perimeter
The area of a circle is: πr²
78.54 in² divided by pi is 25 making the radius = 5
I would then use SOH CAH TOA to solve for the side.. knowing the hypotenuse is the radius and the angle to split it into a right triangle is 30°
Sin(30) = s/5
5*Sin(30) = s
12*s = perimeter hexagon
(remember s is half the hexagon side)
12*5*Sin(30) = perimeter hexagon
30 inches = perimeter
Answer:
The required value for the blank is 21.8696
Step-by-step explanation:
Consider the provided information,
4,275.50= 391/2 of ____
Replace blank with x.
4,275.50 = 391/2 of x
Use sign of multiplication for "of".
Solve the above expression for x.
Thus, the required value for the blank is 21.8696
3x - 1 = 3x + 1
subtract 3x from both sides to get (-1 = 1). This is a false statement so it is: CONTRADICTION
************************************************
4x - 11 = 7
add 11 to both sides and then divide both sides by 4 to get . This statement is true only when x =
so it is: CONDITIONAL
*************************************************
2 - 8x = 2 - 8x
add 8x to both sides to get (2 = 2). This is a true statement so it is: IDENTITY
*************************************************
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add x to both sides, subtract 1 from both sides, and divide both sides by 2 to get . This statement is true only when x =
so it is: CONDITIONAL
Answer: B, A, C, A