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2 years ago

Write a proof. fill in statements and reasons for the blank sides, 10 points for each question.

Mathematics

1 answer:

telo118 [61]2 years ago

8 0

Step-by-step explanation:

<u>Statements / reasons:</u>

Statement 1 >> RS ≅ UT Reason 1 >> Given

Statement 2 >> RT ≅ US Reason 2 >> Given

Statement 3 >> TS ≅ TS Reason 3 >> Common side

Statement 4 >> ΔRST≅ΔUTS Reason 4 >> SSS theorem

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Write the equation in standard form for the circle with center (-7,0) and radius 3√3.

mario62 [17]

Answer: $(x +7)^2 + y^2 = 27$

Step-by-step explanation:

The standard form of a circle is written as such:

$(x - h)^2 + (y - k)^2 = r^2$

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

We know that the center is (-7, 0), so we can plug that into the equation like this: $(x +7)^2 + y^2 = r^2$

The radius is 3 * the square root of 3. To square this, we can multiply 3 squared and the square root of 3 squared:

$3^2 * \sqrt{3} ^2 = 9 * 3$

So, your standard form equation is the following:

$(x +7)^2 + y^2 = 27$

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3 years ago

Two airplanes are flying in the air at the same height. Airplane A is flying east at 300mi/h and airplane B is flying north at 2

Ipatiy [6.2K]

Answer:

$\frac{dAB}{dt}=340 mil/h$

Step-by-step explanation:

The change of distance over time of the plain A is 300 mi/hour and 200 mi/hour for plane B. O is the point of the airport.

So, the distance from A to O AO = 90 miles and BO = 120 miles.

Now, we have a right triangle here. We can use the Pythagorean theorem, so the distance between the planes will be:

$AB^{2} =AO^{2}+BO^{2}$ (1)

$AB =\sqrt{AO^{2}+BO^{2}}=$

$AB =\sqrt{90^{2}+120^{2}}=150 miles$

If we take the derivative of the equation (1) we could find the change of the distance between planes.

$2AB\frac{dAB}{dt}=2AO\frac{dAO}{dt}+2BO\frac{dBO}{dt}$

$2*150\frac{dAB}{dt}=2*90*300+2*120*200=102000 mil/h$

$\frac{dAB}{dt}=\frac{102000}{150*2}$

Finally,

$\frac{dAB}{dt}=340 mil/h$

I hope it helps you!

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3 years ago

the sum of two numbers is 17 the larger is 4 less than the than twice the smaller find both numbers

Tatiana [17]

Answer:

The first number is 10 and a he second number is 7.

Step-by-step explanation:

Small number= 7

Big number= 7*2=14-4

=10

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3 years ago

Avery bought 6.5 pounds of produce. If the produce was priced at $1.88 per pound, how much change did Avery receive if she paid

BARSIC [14]

Answer:

7.78

Step-by-step explanation:

6.5 x 1.88 = 12.22

20.00 - 12.22 = 7.78

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3 years ago

Please help me struggling

Liula [17]

Answer:

Step-by-step explanation:

find the composition of g(x)=x−1 and h(x)= $\sqrt{x}$

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3 years ago