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3 years ago

Write the equation for a parabola with the focus at

2 answers:

5 0

The answer is (y - 4)2 = -12(x - 2)
Since the graph is facing the left, the starting equation would be (y - k)2 = -4p(x - h).
(h, k) is the vertex of the graph. If you plot the focus and the directrix, you can see that the distance is 6. Divide 6 by 2, thus the vertex should be 3 squares away from the focus and 3 squares away from the directrix. The vertex is (2, 4). And since the distance from the focus to the vertex and the distance from the directrix to the vertex is 3, P = 3.
Insert the numbers in and you should get the last choice.

Flura [38]3 years ago

3 0

Answer:

Step-by-step explanation:

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baherus [9]

Answer:

3. $\overline{PM}\cong \overline{ON}$ Distances between two parallel lines $\overline{MN} \ and\ \overline{PO}$

4. $\overline{AC}$ = $\overline{CE}$ : Reason; Corresponding part of ΔACB and ΔDCE

C is the midpoint of $\overline{AE}$ : Reason; $\overline{AC}$ = $\overline{CE}$ : Definition of midpoint

Step-by-step explanation:

3. A parallelogram is defined as a quadrilateral with two opposite sides equal and parallel and having equal opposite interior angles

MNOP is a parallelogram: Reason; Given

$\overline{PM}\left | \right |\overline{ON}$ : Reason; Opposite sides of a parallelogram

∠NOM ≅ ∠OMP: Reason Alternate interior angles

$\overline{MN}\left | \right |\overline{PO}$ : Reason; Opposite sides of a parallelogram

∠NMO ≅ ∠MOP: Reason Alternate interior angles

$\overline{PM}\cong \overline{ON}$ Distances between two parallel lines $\overline{MN} \ and\ \overline{PO}$

4. $\overline{AB}\left | \right |\overline{DE}$ : Reason; Given

∠EAB ≅ ∠AED: Reason; Alternate int. ∠s Thm

∠ABC ≅ ∠EDB : Reason; Alternate int. ∠s Thm

C is the midpoint of $\overline{BD}$ : Reason; Given

$\overline{BC}$ = $\overline{CD}$ : Reason; Definition of midpoint

Therefore, ΔACB ≅ ΔDCE: Reason Angle Angle Side (AAS) Theorem

$\overline{AC}$ = $\overline{CE}$ : Reason; Corresponding part of ΔACB and ΔDCE

C is the midpoint of $\overline{AE}$ : Reason; Definition of midpoint

5 0

3 years ago

BRAINLIEST Please help i'd appreciate it thanks, Have a nice day :)

GaryK [48]

Answer: 70 square centimeters.

Explanation: The area of a parallelogram is base times height.

Because the parallelograms are congruent, we can do 4*(3.5*5), which equals 70 square centimeters.

8 0

3 years ago

Some people take the early retirement option at age 62. According to the Social Security Administration, if you retire at age 62

Vera_Pavlovna [14]

Answer:

$3900.

Step-by-step explanation:

If retirement is taken at the age of 67 years, income = $1300 per month.

% Loss, if retirement taken at the age of 62 years = 25% per month

Loss in dollars per month if retirement taken at the age of 62 years = 25% of Monthly income if retirement is taken at the age of 67 years

$\Rightarrow \dfrac{25}{100} \times 1300\\\Rightarrow \dfrac{1300}{4}\\\Rightarrow 325 \$$