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2 years ago

In the equation y=a(x-h)^2+k, the "k" translates the parabola in what manner?

Mathematics

1 answer:

stellarik [79]2 years ago

4 0

Answer:

k is the vertical shift

Step-by-step explanation:

y=a(x-h)^2+k

This gives the parabola in vertex form

(h,k) is the vertex where h is the x coordinate and k is the y coordinate

k is the vertical shift

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A square of side lengths 5 cm. find its diagonal length

kramer

Answer:

7.07107cm

Step-by-step explanation:

d= $\sqrt{2} a =\sqrt{2} (5) = 7.07107$

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2 years ago

Please help and show work!!

Paladinen [302]

B. Because 20 is greter than 18.

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3 years ago

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Can someone help me with this surface area plz plz thanks

Lunna [17]

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2 years ago

A city park has 4 splash pads. Each splash pad is in the shape of a parallelogram with a base of 5.4 meters and a height of 3.8

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Using the formula for area for a parallelogram, A=BH, where A is area, B is Base, and H is height, you follow that. So in this case, you would want to find one of the area's then multiply it by 4. So for the area you get 20.52 meters. If you multiply it by 4, you get 82.08 meters. Have a nice day!

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3 years ago

Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil.

Licemer1 [7]

So,

We are trying to find the compound probability of there BEING oil and the test predicting NO oil.

The percent chance of there actually being oil is 45%. We can convert this into fraction form and simplify it.

45% --> $\frac{45}{100}$

$\frac{45}{100}--\ \textgreater \ \frac{3*3*5}{2*2*5*5}$

$\frac{3*3*5}{2*2*5*5}--\ \textgreater \ \frac{3*3}{2*2*5}$

$\frac{3*3}{2*2*5}--\ \textgreater \ \frac{9}{20}$

That is the simplified fraction form.

The kit has an 80% accuracy rate. Since we are assuming that the land has oil, we need the probability that the kit predicts no oil.

The probability that the kit detects no oil will be the chance that the kit is not accurate, which is 20% (100 - 80 = 20). We can also convert this into fraction form and simplify it.

20% --> $\frac{20}{100}$

$\frac{20}{100}--\ \textgreater \ \frac{2}{10}$

$\frac{2}{10}--\ \textgreater \ \frac{1}{5}$

That is the probability of the kit not being accurate (not predicting any oil).

To find the compound probability of there being oil and the kit not predicting any oil, we simply multiply both fractions together.

$\frac{9}{20}*\frac{1}{5}$

$\frac{9}{20*5}$

$\frac{9}{100}$

So the probability of there BEING oil and the kit predicting NO oil is 9 in 100 chances.

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2 years ago

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