??? ??? I was also looking for the answer
U have a solid line...meaning there is an equal sign in the problem
u have a y int of -1 (the y int is where ur line crosses the y axis)
u have a slope of : 1
it is shaded below the line...so it is less then
so ur inequality is : y < = x - 1 <==
The volume of a pyramid is found by multiplying the length, width and height together then dividing by 3.
length x width x height = 12 x 12 x 12 = 1728
volume = 1728 / 3 = 576 cubic cm
Answer:
![(x-4)^2+(y+5)^2=90](https://tex.z-dn.net/?f=%20%28x-4%29%5E2%2B%28y%2B5%29%5E2%3D90)
Step-by-step explanation:
The equation of a circle of radius r, centered at the point (a,b) is
![(x-a)^2+(y-b)^2=r^2](https://tex.z-dn.net/?f=%28x-a%29%5E2%2B%28y-b%29%5E2%3Dr%5E2)
We already know the center is at
, we are just missing the radius. To find the radius, we can use the fact that the circle passes through the point (7,4), and so the radius is just the distance from the center to this point (see attached image). So we find the distance by using distance formula between the points (7,4) and (4,-5):
radius![=\sqrt{(7-4)^2+(4-(-5))^2}=\sqrt{3^2+9^2}=\sqrt{90}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%287-4%29%5E2%2B%284-%28-5%29%29%5E2%7D%3D%5Csqrt%7B3%5E2%2B9%5E2%7D%3D%5Csqrt%7B90%7D)
And now that we know the radius, we can write the equation of the circle:
![(x-4)^2+(y-(-5))^2=\sqrt{90}^2](https://tex.z-dn.net/?f=%20%28x-4%29%5E2%2B%28y-%28-5%29%29%5E2%3D%5Csqrt%7B90%7D%5E2)
![(x-4)^2+(y+5)^2=90](https://tex.z-dn.net/?f=%20%28x-4%29%5E2%2B%28y%2B5%29%5E2%3D90)
Step-by-step explanation:
Given that the base of triangle is 9/4 times of its height . And area is 144 cm² . Let the height be h , then its base be 9h/4 .
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Therefore ,
- Height = h = 8cm .
- Base ,= 9h/4 = 18cm .