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Gnoma [55]
2 years ago
4

Help: I am stuck on this maths question on quadratics and turning points (image attached).

Mathematics
2 answers:
krek1111 [17]2 years ago
8 0

Answer:

the x- coordinate of the turning point = - 2.5

Step-by-step explanation:

given

x² + bx + c

c is the value of the y- coordinate where the curve crosses the y- axis, so c= - 14

x² + bx - 14

given x = 2 is a root , then equating to zero gives

2² + 2x - 14 = 0

4 + 2x - 14 = 0

- 10 + 2x = 0 ( add 10 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

then equation is

x² + 5x - 14 = 0  ← in standard form

(x + 7)(x - 2) = 0 ← in factored form

equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

the roots are x = - 7, x = 2

the x- coordinate of the vertex is at the midpoint of the roots , that is

x- coordinate of the turning point = (- 7 + 2) ÷ 2 = - 5 ÷ 2 = - 2.5

ELEN [110]2 years ago
4 0

Answer:26.8

Step-by-step explanation:

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Use prime factorization to reduce each fraction 1. 22/165 2. 35/210
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The prime factorization of the number 22 is:

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Then, we can solve the given questions.

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1 year ago
The length of a rectangle is five times its width.
Marizza181 [45]

ANSWER

96 yd

EXPLANATION

Let the width of the rectangle be w, then, the length of the rectangle will be:

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The area of a rectangle is calculated using the formula:

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