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Zanzabum
3 years ago
9

4 The size 4 soccer ball Sean's team uses should weigh

Mathematics
1 answer:
Lina20 [59]3 years ago
5 0

Most 2 balls could weigh = 0.74 kilograms, Least 2 balls could weigh = 0.62 kilograms

Step-by-step explanation:

<em>Maximum weight of soccer ball = 0.37 kilogram</em>

<em>Minimum weight of soccer ball = 0.31 kilogram</em>

<u>One bag has two balls</u>

<em>1. To find out the most weight, we need to assume that both balls are of the maximum weight so,</em>

Weight of ball 1 + Weight of ball 2

0.37 + 0.37

= 0.74 kilograms

<em>2. To find out the least weight, we need to assume that both balls are of the minimum weight so,</em>

Weight of ball 1 + Weight of ball 2

0.31 + 0.31

= 0.62 kilograms

The weight of two balls are

\leq 0.74 kilograms

\geq 0.62 kilograms

<em>Therefore, the most these two balls could weigh together is 0.74 kilograms and the least these two balls could weigh together is 0.62 kilograms.</em>

Key words: weight

Learn more about the topic of calculating weights on brainly.com/question/663692

#learnwithBrainly

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What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? PLs HELP!!
Delicious77 [7]
ANSWER
f(x)= \frac{1}{4} {(x - 1)}^{2}

EXPLANATION

Since the directrix is
y = - 1

the axis of symmetry of the parabola is parallel to the y-axis.

Again, the focus being,

(1,1)

also means that the parabola will open upwards.

The equation of parabola with such properties is given by,

{(x - h)}^{2} = 4p(y - k)
where
(h,k)

is the vertex of the parabola.

The directrix and the axis of symmetry of the parabola will intersect at
(1, - 1)

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.

This implies that,
h = \frac{1 + 1}{2} = 1

and
k = \frac{ - 1 + 1}{2} = 0

The equation of the parabola now becomes,

(x - 1) ^{2} = 4p(y - 0)

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This means that,

p = - 1 \: or \: 1

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p = 1
Our equation now becomes,

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This simplifies to
{(x - 1)}^{2} = 4y

or

y = \frac{1}{4} {(x - 1)}^{2}

This is the same as,

f(x)= \frac{1}{4} {(x - 1)}^{2}

The correct answer is D .
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