Find the vertex, focus, and directrix. y = 1/24(x+1)² - 3.
Answers
Answer 1
Answer:
%5E2%20-%203%5C%5C%5C%5Cy%2B3%20%3D%5Cfrac%7B1%7D%7B24%7D(x%2B1)%5E2%5C%20%5C%20%2F%20*24%5C%5C%5C%5C%20(x%2B1)%5E2%20%3D%2024(y%2B3))
This is an equation of a parabola that opens upwards.
%5E2%3D4p(y-k)%5C%5C%20(h%2Ck)%3D(x%2Cy)%20%5C%20coordinates%20%5C%20of%20%5C%20the%20%5C%20vertex%5C%5C%5C%20(h%2Ck)%3D(-1%2C-3)%20%5C%5C%5C%5Caxis%20%5C%20of%20%5C%20symmetry%3A%20%5C%20x%3D%20-1%5C%5C%20%5C%5C4p%3D24%5C%20%5C%20%2F%3A4%5C%5Cp%3D6)
%3D(-1%2C-3%2B6)%3D(-1%2C3)%20%5C%5C%20%5C%5Cdirectrix%3A%20%5C%20y%3Dk-p%3D-3-6%3D-9)
This is an equation of a parabola that opens upwards.
Answer 2
Answer:
%5E2%3D4p(y-k)%5C%20is%20%5C%20a%5C%20parabola%5C%5Cwith%5C%20a%5C%20vertex%5C%20at%5C%20%5C%20(h%2C%5C%20k)%2C%20%5C%5Ca%5C%20focus%5C%20at%5C%20%5C%20(h%2Ck%2Bp)%5C%5C%5C%20and%5C%20a%5C%20directrix%5C%20%5C%20y%20%3D%20k%20-%20p%20%5C%5C%5C%5C%20y%20%3D%201%2F24(x%2B1)%5E2%20-%203%5C%20%5C%20%5C%20%5C%20%5CRightarrow%5C%20%5C%20%5C%20y%2B3%20%3D%201%2F24(x%2B1)%5E2%5C%20%2F%5Ccdot24%5C%5C%5C%5C%2024%5Ccdot(y%2B3)%3D(x%2B1)%5E2%5C%5C%5C%5C(x%2B1)%5E2%3D4p(y%2B3)%5C%20%5C%20%5CRightarrow%5C%20%5C%204p%3D24%5C%20%5C%20%5CRightarrow%5C%20%5C%20p%3D6%5C%20%5C%20%5C%20and%5C%20%5C%20%5C%20h%3D-1%2C%5C%20k%3D-3%5C%5C%5C%5Cthe%5C%20vertex%3A%5C%20%5C%20%5C%20(h%3B%5C%20k)%3D(-1%3B%5C%20-3)%5C%5C%5C%5Cthe%5C%20focus%3A%5C%20%5C%20%5C%20(h%3B%5C%20k%2Bp)%3D(-1%3B%5C%20-3%2B6)%3D(-1%3B%5C%203)%5C%5C%5C%5Cthe%5C%20directrix%3A%5C%20%5C%20%5C%20y%3Dk-p%5C%20%5C%20%5C%20%5CRightarrow%5C%20%5C%20%5C%20y%3D-3-6%3D-9)
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(3x-8)(2xsquared4x-9) multiply and write the result in descending order
Answers
They hiked 3.6 and 5.7 miles. Since 3.6+5.7=9.3
(5, 7) (6,3)
Answers
Answer:
Step-by-step explanation:
(3-7)/(6-5)= -4/1= -4
Answers
0.32 in fraction form is 32/100. then to make it simplest form, divide by a common factor. 32/2 = 16 and 100/2 = 50, which gives you 16/50, however this can be simplified more. divide by 2 again and you have 8/25, which cannot be simplified any further. another way to have found this answer would be to find the greatest common factor as the first step, which would be 4; 32/4=8 and 100/4=25
Okay the last number behind the decimal is in the hundredths place put 32 over 100. 32/100. Now find a number they can both be divided equally by. The highest number they can both be divided by is 4. 32÷4=8 and 100÷4=25 now put 8 over 25 and you have your answer. ANSWER: 32/100=8/25