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Scrat [10]
3 years ago
12

What statements are always true for a square

Mathematics
1 answer:
bagirrra123 [75]3 years ago
6 0
A square's sides are always all congruent. A square's angles are always all congruent. The opposite sides of a square are always parallel.
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Please Help
Hitman42 [59]

ANSWER

( {y  - 8)}^{2}  =  - 28(x + 5)

EXPLANATION

The given parabola has directrix x=2.

This implies that, the parabola is opens in the direction of the negative x-axis because it must open in a negative direction to the directrix.

The equation of such parabola is of the form:

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

where (h,k)=(-5,8) is the vertex.

|p|  = | - 2 - 5|  = 7

p =  \pm7

But the parabola opens to the left.

p=-7

The equation now becomes

( {y  - 8)}^{2}  = 4( - 7)(x   -  - 5)

( {y  - 8)}^{2}  =  - 28(x + 5)

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3 years ago
10-kg batch of a food product has a moisture content of175% dry basis. Calculate the amount of water to beremoved from the produ
sleet_krkn [62]

Answer:

4.9kg of water

Step-by-step explanation:

Dry basis is the percentage ratio of moisture amount to amount of dry product which is 175%

Ratio of moisture amount to dry product = 175 : 100

Mass of food product = 10kg

Amount of moisture in food product = 175/175+100 × 10kg = 175/275 × 10kg = 6.4kg

Wet basis is the percentage ratio of the moisture amount to the total weight of material which is 15%

Ratio of moisture amount to total weight of material is 15 : 100

Amount of moisture in food product = 15/100 × 10kg = 1.5kg

Amount of water contained in the final product = 1.5kg

Amount of other components in the food product = 10kg - 6.4kg = 3.6kg

Total amount = 1.5kg + 3.6kg = 5.1kg

% of water = 1.5kg/5.1kg × 100 = 29%

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