Answer:
<em>x = 1 + ( √ 10 )/ 2, or x = 1 - ( √ 10 )/ 2; Option A</em>
Step-by-step explanation:
See steps below;
I would prefer answering this question by completing the square, rather than applying a quadratic formula;
3x^2 - 6x - 12 = 0, ⇒ Add 12 to either side,
3x^2 - 6x = 12, ⇒ Divide either side by 3,
x^2 - 2x = 4, ⇒ Write the equation in the form x^2 + 2ax + a^2 = (x + a)^2,
x^2 - 2ax + a^2 = 4 + a^2, ⇒ Solve for a
2ax = -2x,
a = - 1, ⇒ Substitute value of a,
x^2 - 2x + 1 = 4 + 1,
( x - 1 )^2 = 5, ⇒ Solve for x,
x = √5 + 1, and x = - √5 + 1,
In other words; <em>Solution : x = 1 + ( √ 10 )/ 2, or x = 1 - ( √ 10 )/ 2; Option A</em>
Tina does not have enough rope to decorate the frame
Step-by-step explanation:
Tina wants to decorate a rectangular picture frame
- The width of the frame is 18 inches
- The length of the frame is 14 inches
- She has 4 feet rope
We want to know if she has enough rope or not to decorate the frame
∵ The frame is in the shape of the rectangle
- The length of the rope must be equal the perimeter of the frame
∵ The perimeter of a rectangle = 2 length + 2 width
∵ The length = 14 inches
∵ The width = 18 inches
∴ The perimeter of the frame = 2(14) + 2(18) = 28 + 36 = 64 inches
∵ The length of the rope is 4 feet
∵ 1 foot = 12 inches
∴ The length of the rope = 4 × 12 = 48 inches
∵ 48 < 64
∴ The length of the rope is less than the perimeter of the frame
∴ Tina does not have enough rope
Tina does not have enough rope to decorate the frame
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Answer:
<h2>x= -3 , y = -2</h2>
Step-by-step explanation:
<h3>
<em>Hope </em><em>it </em><em>helps </em><em>you.</em><em>.</em><em>.</em><em>.</em></h3><h2>Mark this answer as brainliest</h2>
Answer:
1) p = 208/8
2) p = 9.54/6
Step-by-step explanation:
Answer:
three occupies the hundredths place (it is 3/100 of a whole number)
