Answer:
<u>The system has two solutions:</u>
<u>x₁ = 5 ⇒ y₁ = -10</u>
<u>x₂ = -2 ⇒ y₂ = 11</u>
Step-by-step explanation:
Let's solve the system of equations, this way:
y = -3x + 5
y = x ² - 6x - 5
Replacing y in the 2nd equation:
y = x ² - 6x - 5
-3x + 5 = x ² - 6x - 5
x ² - 3x - 10 = 0
Solving for x, using the quadratic formula:
(3 +/- √(9 -4 * 1 * -10))/2 * 1
(3 +/- √9 + 40)/2
(3 +/- √49)/2
(3 +/- 7)/2
x₁ = 10/2 = 5
x₂ = -4/2 = -2
x₁ = 5 ⇒ y₁ = -10
x₂ = -2 ⇒ y₂ = 11
<u>As we can see the system has two different solutions</u>
Diameter D of the trampoline = 17 feet
The circumference C, of the trampoline is calculated by the formula:
Put D = 17 feet, π=3.14
The cirucmference o
2.Alternate Interior angles theorem.
They given angles are alternate and interior when compared to each other, so they are congruent.
3 Vertical angles theorem.
The two angles are vertical angles and are not congruent.
4 Angle-Angle Similarity Postulate.
Because there are two corresponding angles that are congruent they are similar triangles by the angle-anlge similarity postulate.
Answer:
16 liters to a fraction would be 4.2 or 4 1/5
Step-by-step explanation:
16 liters = 4.22675 gallons
4.2 gallons = 4 1/5 gallons
Well if you're solving for x this would be rather simple. 7x +1=68 , then you'd minus 1 from both sides. 7x = 67 then divide 67 by 7. The answer isn't a whole number so x would either be 67/7 or 9.57.. etc.
