The equation of a parabola in its vertex form is y=a(x-h)²+k, <span>where (h, k) is the </span>vertex<span> of the </span>parabola<span>.
in this case, h=3, k=-2, so y=a(x-3)-2
plug (4,3) in the equation: 3=a(4-3)</span>²-2, a=5
so the coefficient of the squared expression is 5.
Y = f(x)
y = weight of a cat
x = age of a cat
f = some function (unknown in any detail)
Answer:
List all the factors for 18,15 to find the common factors. The common factors for 18,15 are 1,3 . The GCF for the numerical part is 3 . The factor for k1 is k itself.
Step-by-step explanation:
Answer:
1. 519.75 cm^3
2. 19.22 cm^3
3. 613.6 cm^3
4. 1365.68 cm^3
Step-by-step explanation:
Hello again, similar to the other questions, these problems use the same formulas.
1. volume of a rectangular prism is: V = lwh, where l = length, w = width, h = height. Substitute known values into this equation: V = 4.5 x 7 x 16.5 and we get V = 519.75 cubic cm.
2. V = (1/2)bhl, where the base and height are dimensions of the triangle. V = (1/2)6.2 x 2 x 3.1 and we get V = 19.22 cubic cm
3. V = Bh, where B is the base area and h is the perpendicular height. Substitute known values into equation: V = 52(11.8). So, V = 613.6 cubic cm.
4. And again, V = Bh. Substitute given values into this equation: V = 79.4(17.2), which means V = 1365.68 cm^3
Answer:
16
Step-by-step explanation:
OK, this might sound a bit confusing but I'll give it my best shot.
1. We know all the sides of one triangle, the smaller one. We know that the largest side of the large triangle is 36, and the largest side of our small triangle is 9. This means that they are related.
2. If we take 36 and divide by 9, it gives us 4. This number tells us how much bigger the large triangle is compared to the smaller triangle.
3. Now, we can take the number we just got, 4 and use it to find the other sides of the large triangle.
4. We need the smallest side of the large triangle. We can get this by taking the smallest side of the small triangle, and multiplying it by 4, since we know that the big triangle is 4 times larger than the small one.
5. 4 is the smallest side of the small triangle. We can multiply by 4, which is 16, and your answer!