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2 years ago

At the Manchester Golf Tournament, the leader board shows Farrah's score as 5 on the front nine and 8 on the back nine.

Mathematics

1 answer:

zvonat [6]2 years ago

7 0

Farrah's total score for both rounds will be -3.

Since the leader board shows Farrah's score as 5 on the front nine, this will be: +5

Since the leader board shows Farrah's score as 8 on the back nine, this will be -8. Then we'll add both together to get the total score which will be:

= 5 + (-8)

= 5 - 8

= -3

His total score will be -3.

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What is the center and radius of the circle?<br> (x-3)2 + y² = 4

Kipish [7]

Answer:

center = (3, 0)

radius = 2

Step-by-step explanation:

Standard equation of a circle: $\sf (x-h)^2+(y-k)^2=r^2$

(where (h, k) is the center of the circle and r is the radius)

Given equation:

$\sf (x-3)^2+y^2=4$

Rewrite in standard form:

$\sf \implies (x-3)^2+(y-0)^2=2^2$

Therefore

center = (3, 0)
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2 years ago

Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cu

Alecsey [184]

Answer:

) See annex

b) See annex

x = 0,5 ft

y = 2 ft and

V = 2 ft³

Step-by-step explanation: See annex

c) V = y*y*x

d-1) y = 3 - 2x

d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x

V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²

Taking derivatives

V¨(x) = 9 + 12x² - 24x

V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0

Solving for x (second degree equation)

x =[ -b ± √b²- 4ac ] / 2a

we get x₁ = 1,5 and x₂ = 0,5

We look at y = 3 - 2x and see that the value x₂ is the only valid root

then

x = 0,5 ft

y = 2 ft and

V = 0,5*2*2

V = 2 ft³

7 0

3 years ago

My daughter needs help and I don't understand the question ethier.

WINSTONCH [101]

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