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Wewaii [24]
3 years ago
5

HELP PLEASE!!!! i will give brainliest!!!!!

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
3 0

Answer:

A

Step-by-step explanation:

looks like vertex form

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A 80 square meter I’m not quite sure
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Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-
Umnica [9.8K]

Given:

The quadratic equation is

y=6x^2-15x+6

To find:

The x-intercepts of the given equation.

Solution:

We have,

y=6x^2-15x+6

Splitting the middle term, we get

y=6x^2-12x-3x+6

y=6x(x-2)-3(x-2)

y=(x-2)(6x-3)

For x-intercepts, y=0.

(x-2)(6x-3)=0

Using zero product property, we get

x-2=0\text{ and }6x-3=0

x=2\text{ and }6x=3

x=2\text{ and }x=\dfrac{3}{6}

x=2\text{ and }x=0.5

So, the x-intercepts are (0.5,0) and (2,0).

Therefore, the correct option is a.

5 0
3 years ago
One light-year equals 5.9 x 1012 miles. How many light-years are in 6.79
inna [77]

Option B

The number of light years in 6.79 \times 10^{16} miles is 11508 light years

<em><u>Solution:</u></em>

Given that,

One light-year equals 5.9 x 10^12 miles

Therefore,

1 \text{ light year } = 5.9 \times 10^{12} \text{ miles }

To find: Number of light years in 6.79 \times 10^{16} miles

Let "x" be the number of light years in 6.79 \times 10^{16} miles

Then number of light years in 6.79 \times 10^{16} miles can be found by dividing 6.79 \times 10^{16} miles by miles in 1 light year

\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79 \times 10^{16}}{5.9 \times 10^{12}}\\\\\text{Use the law of exponent }\\\\\frac{a^m}{a^n} = a^{m-n}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79}{5.9} \times 10^{16-12}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 1.1508 \times 10^4\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 11508

Thus number of light years in 6.79 \times 10^{16} miles is 11508 light years

3 0
3 years ago
Geometry question, any help is appreciated
kodGreya [7K]

Answer:

Hence, the ratios are given by 5:7, 25:49, 125:343.

Step-by-step explanation:

We are given two spheres such that:

Volume of small sphere V_{s} = 250 yd^{3}

Volume of large sphere V_{l} = 686 yd^{3}.

Then the ratio of volume = 250 : 686 = 125 : 343.

Since, the volume of a sphere = \frac{4 \pi \times r^{3}}{3}, this gives us that the ratio of the radius = ∛V_{s} : ∛V_{l}

i.e. The ratio of the radius = ∛125 : ∛343 = 5 : 7.

Further, as the surface area of a sphere = 4 \pi \times r^{2}, this gives us that the ratioof surface area = r_{s} ^{2} : r_{l} ^{2}

i.e The ratio of the surface area = 5^{2} : 7^{2} = 25 : 49

So, the ratio of the surface areas = 25 : 49.

Hence, the ratios are given by 5:7, 25:49, 125:343.

4 0
3 years ago
Read 2 more answers
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