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Leno4ka [110]
3 years ago
15

Help with math, please!! ASAP

Mathematics
1 answer:
vovikov84 [41]3 years ago
8 0
Not sure but im guessing 6 inches 
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Which is the standard form of the equation of the parabola that has a vertex of (–4, –3) and a directrix of x = 2?
Zielflug [23.3K]

Answer:

Equation of the parabola is \left(y+3\right)^{2}=-24(x+4)

Step-by-step explanation:

We have to find the equation of a parabola with vertex is (-4,-3) and a directrix x=2.

As vertex is (-4,-3) that means parabola is in third quadrant.

So the standard formula of the parabola will be y²= -4px through origin (0,0).

But when a parabola is shifted from origin to the left of y axis so the equation will be (y-shifting form y axis)² = -4(distance between vertex and directrix)(x-shifting from x axis)

\left\{y-(-3)\right\}^{2}=(-4\times 6)\left\{x-(-4)\right\}

\left(y+3\right)^{2}=-24(x+4).



5 0
4 years ago
Read 2 more answers
helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. she also needs 0.75 cup of sugar pe
tatuchka [14]

The <em><u>correct answer</u></em> is:

She can make 2 loaves of bread and 4 batches of muffins.

Explanation:

Let b represent bread and m represent muffins.

The equation for the amount of flour she needs is 3.5b+2.5m=17.

The equation for the amount of sugar she needs is 0.75b+0.75m=4.5.

To solve this, we will want to eliminate one of the variables. To do this, we will make the coefficients of one of the variables the same. If we multiply 2.5 by 0.3, we get 0.75; this is what we will do to the first equation:

\left \{ {{0.3(3.5b+2.5m=17)} \atop {0.75b+0.75m=4.5}} \right.  \\ \\\left \{ {{1.05b+0.75m=17} \atop {-(0.75b+0.75m=4.5)}} \right.  \\ \\0.3b=0.6 \\ \\\frac{0.3b}{0.3}=\frac{0.6}{0.3} \\ \\b=2

She can bake two loaves of bread.

Substituting 2 for b in the first equation, we have

3.5(2)+2.5m=17

7+2.5m=17

Subtract 7 from each side:

7+2.5m-7=17-7

2.5m=10

Divide both sides by 2.5:

2.5m/2.5 = 10/2.5

m = 4

She can bake 4 batches of muffins.

6 0
4 years ago
Read 2 more answers
Convert into slope intercept form y - 4 = -2(x - 1)
Degger [83]

Answer:

Y=-2x+6

Step-by-step explanation:

5 0
3 years ago
What is the volume of a Peerman with a base area of 8 ft.² and a height of 12 feet
zaharov [31]
U just multiply them. V=A*h=96ft^3
3 0
4 years ago
What type of number cannot be written as a fraction
Rom4ik [11]

An irrational number.

Example: Pi. Pi doesn’t have an ending as far as we know, so it cannot be written as a fraction.

5 0
3 years ago
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