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2 years ago

Which of the two triangles has the greatest area?

Mathematics

1 answer:

katrin [286]2 years ago

5 0

Answer:

they have the same area

Step-by-step explanation:

they have the same measure in legs and the same length hypotenuse. One of them is just transformed either by rotation or refection or translation

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Write the equation of circle b with center B(-2,3) that passes through (1,2)

professor190 [17]

Answer:

$(x+2)^2 + (y-3)^2 = 10$

Step-by-step explanation:

The standard equation for circle is

$(x-a)^2 + (y-b)^2 = r^2$

where point (a,b) is coordinate of center of circle and r is the radius.

______________________________________________________

Given

center of circle =((-2,3)

let r be the radius of circle

Plugging in this value of center in standard equation for circle given above we have

$(x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)$

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.

Plugging in the point (1,2 ) in equation 1 we have

$\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\$

now we have value of r^2 = 10, substituting this in equation 1 we have

Thus complete equation of circle is $=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10$

7 0

3 years ago

Help me it’s urgent

Ket [755]

Answer:

$a_1 = -\dfrac{3}{4}$

Step-by-step explanation:

$a_1 \times r = a_2$

$a_1 \times r^2 = a_3$

$a_1 \times r^3 = a_4$

...

$a_1 \times r^8 = a_9$

$\dfrac{a_9}{a_4} = \dfrac{a_1 \times r^8}{a_1 \times r^3} = \dfrac{-196}{6}$

$r^5 = -32$

$r = -2$

$a_1 \times r^3 = a_4$

$a_1 \times (-2)^3 = 6$

$a_1 = \dfrac{6}{-8}$

$a_1 = -\dfrac{3}{4}$

3 0

3 years ago

If the farmers market sold 35% of its produce and has 280 peaches remaining, how many peaches did it have?

PSYCHO15rus [73]

100-35 = 65%

280/0.65 = 430

he had 430 peaches

3 0

3 years ago

Answer asap 30 points!!!!!!!!!!!!!!!!!!!!!!!!!What is the lateral surface area of the cone?

Ludmilka [50]

Answer:

it would be a

3 0

2 years ago

A board is 3.5 m long. Four pieces, each.4 m long, are cut off. How much is left?

lys-0071 [83]

Answer:

1.9 m

Step-by-step explanation:

3.5 - (4*0.4)

3.5 - 1.6 = 1.9

8 0

2 years ago