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2 years ago

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -4).

Mathematics

1 answer:

Step2247 [10]2 years ago

7 0

We have
Parabola
with vertex (0,0) and focus (0,-4)

we know that
is a vertical parabola that opens down
the standard form of the equation is of the form
(x-h)²=-4p(y-k)
where
(h,k) is the vertex----------> (0,0)
p is the distance from the vertex to the focus or directrix
in this problem
p=4
(x-h)²=-4p(y-k)------> x²=-16y-------> y=-(1/16)x²

the answer is the option
<span>D.)y = negative one divided by sixteen x2

see the attached figure</span>

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The bagel shop sells special bagel sandwiches for $7 and plain bagels for $2. Last saturday, they sold 100 items and made $385.

zloy xaker [14]

Answer:

Number of special bagel sandwiches = 37

Step-by-step explanation:

Let $x,y$ denote number of special bagel sandwiches and plain bagels respectively.

The bagel shop sold 100 items.

$x+y=100\\y=100-x$

Also, The bagel shop made $385.

$7x+2y=385$

Put $y=100-x$ in $7x+2y=385$

$7x+2(100-x)=385\\7x+200-2x=385\\5x=385-200\\5x=185\\x=\frac{185}{5}\\x=37$

So,

Number of special bagel sandwiches = 37

5 0

2 years ago

Use a negative factor to factor the expression -5g + 15h - 25

Firdavs [7]

Answer:

Step-by-step explanation:

-5g = -5 × g

15h = 5 × 3h

-25 = -5 × 5

-5g + 15h - 25 = -5 × g - (-5 × 3h) + (-5 × 5) = -5 × (g - h + 5)

3 0

2 years ago

The product of sin 30 degrees and sin 60 degrees is the same as the product of

zysi [14]

Answer:

$sin(30\°)*sin(60\°)=cos(60\°)*cos(30\°)$

Step-by-step explanation:

we know that

$sin(\alpha)=cos(\beta)$

when

$\alpha+\beta=90\°$ -------> complementary angles

$sin(30\°)=cos(60\°)$

$sin(60\°)=cos(30\°)$

Because

$30\°+60\°=90\°$ -------> complementary angles

In this problem the product of

$sin(30\°)*sin(60\°)$

is equal to

$cos(60\°)*cos(30\°)$

therefore

$sin(30\°)*sin(60\°)=cos(60\°)*cos(30\°)$

3 0

2 years ago

Read 2 more answers

Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Select five

kondaur [170]

Answer:

The last two terms of the expression are

$----+8r^2s^4-3r^3s^3$

Both the last terms has variable of degree equal to (2+4=6) and (3+3=6).So, the first term must have degree greater than 6.

Correct Options are

$1.\rightarrow 3r^4s^5\\\\2.\rightarrow -r^4s^6$

3 0

2 years ago

What is the slope of the segment shown for a staircase with 10-inch treads and 7.75-inch risers? As you walk up (or down) the st

s2008m [1.1K]

The formula for slope is

Slope = Rise / Run = Risers / Treads

Slope = 7.75 in /10 in = 0.775

The slope Is 0.775.

The vertical distance is not continuous, thus it is discrete. A discrete function only allows certain points in the interval. When you walk up or down the stairs, the vertical distances are not continuous because of the treads. You cannot stay also mid-air, so it should be discrete. An example of a continuous function would be when you walk up or down an inclined plane.

8 0

2 years ago