Ask question

Ask question

All categories

3 years ago

15

Write the equation for a parabola that has a vertex (2, -1) and a directrix of x = 5. The standard form for this parabola is (x

- h)* = 4p(y-k) (y- k) = 4p(x - 1) DONE

2 answers:

Tom [10]3 years ago

7 0

Answer:

x=h-p

Step-by-step explanation:

bk

Dmitry [639]3 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

Solve the inequality.<br> 2(4+2x)≥5x+5<br> A. x≤−2<br> B. x≥−2<br> C. x≤3<br> D. x≥3

LenaWriter [7]

$\text{Solve for x:}\\\\2(4+2x)\geq5x+5\\\\\text{Use the distributive property}\\\\8+4x\geq5x+5\\\\\text{Subtract 5x from both sides}\\\\8-x\geq5\\\\\text{Subtract 8 from both sides}\\\\-x\geq-3\\\\\text{Divide both sides by -1, while also flipping the inequality}\\\\x\leq3\\\\\boxed{\text{Answer: C.} \,x\leq3}$

8 0

3 years ago

Read 2 more answers

Using a scale of 1 to 10 billion model solar system, what is the diameter and distance from the sun using diameter of 4880km and

Yuki888 [10]

Answer:

Diameter Orbit Radius Diameter Orbit Radius

average average average average

km km cm km

1,392,000 Sun 13,920,000,000

4,879 57,910,000 Mercury 48,790,000 5,791,000

12,100 108,200,000 Venus 121,000,000 10,820,000

12,740 149,600,000 Earth 127,400,000 14,960,000

6,779 227,900,000 Mars 67,790,000 22,790,000

950.0 413,800,000 Ceres

Asteroid Belt 9,500,000 41,380,000

139,800 778,600,000 Jupiter 1,398,000,000 77,860,000

116,500 1,433,000,000 Saturn 1,165,000,000 143,300,000

50,720 2,877,000,000 Uranus 507,200,000 287,700,000

49,250 4,503,000,000 Neptune 492,500,000 450,300,000

2,372 5,874,000,000 Pluto

Kuiper Belt 23,720,000 587,400,000

Step-by-step explanation:

5 0

3 years ago

400g of rapberries and 300g of strawberries cost £7.46. 500g of strawberries cost £4.10 work out the cost of 300g of raspberries

MAXImum [283]

Answer: £5.39

Step-by-step explanation:

500g strawberries = 4.10

100 g = 0.82

300g = 2.46

400g raspberries = 7.46 - 2.46 = 5.00

100g = 1.25

300g = 3.75

200g strawberries = 0.82 * 2 = 1.64

3.75 + 1.64 = 5.39

8 0

3 years ago

Which of the following is a solution of x2 + 6x = −18? x = 3 − 3i x = −3 + 3i x = −6 + 3i x = 6 − 3i

Marina86 [1]

Step 1 ) Move all terms right side of the equation.

$\displaystyle\ x^{2} + 6x = -18$

$\displaystyle\ x^{2} + 6x + 18 = -18 + 18$

$\displaystyle\ x^{2} +6x + 18 = 0$

Step 2 ) Apply quadratic formula. (Note: There are 2 solutions)

$\displaystyle\ x^{2} +6x + 18 = 0$

$\displaystyle\ x = \frac{-b\sqrt{b^{2}-4ac}}{2a}, \displaystyle\ x = \frac{-b-\sqrt{b^{2}-4ac}}{2a}$

$\displaystyle\ x = \frac{-6+\sqrt{6^{2}-4 * 18}}{2} , \displaystyle\ x = \frac{-6-\sqrt{6^{2}-4*18}}{2}$

$\displaystyle\ x = \frac{-6+6i}{2}$ ,

$\displaystyle\ x = \frac{-6-6i}{2}$

Step 3 ) Simplify.

$\displaystyle\ x = \frac{-6+6i}{2}$ ,

$\displaystyle\ x = \frac{-6-6i}{2}$

$\displaystyle\ x = -3+ 3i$ ,

$\displaystyle\ x = -3 - 3i$

Since the options only provide one of the answer we found, the answer is...

$\displaystyle\ x = -3 - 3i$

•

•

- <em>Marlon Nunez</em>

6 0

3 years ago

Read 2 more answers

Write the first five terms of the geometric sequence in which a1=8 and the common ratio is -1/2.

Oliga [24]

Answer:

First five terms are:

8 , (-4) , 2 , (-1) , (1/2)

Step-by-step explanation:

$a_{1}=8 \\\\r = \frac{-1}{2}\\\\a_{2}=\frac{-1}{2}*a_{1}= \frac{-1}{2}*8= -4\\\\a_{3}=\frac{-1}{2}*a_{2}=\frac{-1}{2}*-4=2\\\\a_{4}=\frac{-1}{2}*a_{3}=\frac{-1}{2}*2=-1\\\\a_{5}=\frac{-1}{2}*a_{4}=\frac{-1}{2}*-1=\frac{1}{2}$

4 0

3 years ago