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2 years ago

HELP i need the answer 20 POINTS

Mathematics

1 answer:

sergeinik [125]2 years ago

3 0

Answer:

y = -1/4(x +4)² +4

Step-by-step explanation:

The equation of a parabola with focus (a, b) and directrix y=d can be written using the form ...

y = 1/(2(b-d))(x -a)² +(b+d)/2

<h3>Application</h3>

We are given (a, b) = (-4, 3) and d=5. Using these values in the above form gives the equation ...

y = 1/(2(3-5))(x -(-4))² +(3+5)/2

y = -1/4(x +4)² +4

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The measure of angle STV is 160.

ratelena [41]

Answer:

x = 125

Step-by-step explanation:

x = 160 - 35

x = 125

4 0

3 years ago

What is an equation of the parabola with vertex at the origin and focus (0, 0.75)?

morpeh [17]

Answer:

$x^{2} =3y$

Step-by-step explanation:

Notice that the focus is a points on the vertical axis, that means the parabolla opens vertically, and has the form

$x^{2} =4py$

Because the parameter $p$ is positive and equal to 0.75. Additionally, the vertex is at the origin, that's why the equation is this simple.

Replacing the parameter value, we have

$x^{2} =4(0.75)y\\x^{2} =3y$

Therefore, the equation of a parabolla with vertex at the origin and focus at (0, 0.75) is $x^{2} =3y$ .

8 0

3 years ago

Leila is participating in a

guapka [62]

She needs to ride 46 miles . to get this answer you multiply 61 by 6 and get 366. then you add up all the numbers and get 320 then you subtract 366 by 320 .

3 0

3 years ago

Factorize 3ac-6ad-2bc+4bd

KatRina [158]

Answer:

(c - 2d) (3a - 2b)

Step-by-step explanation:

if you need the steps just ask me in the comments and I’ll type them lol

7 0

2 years ago

Kevin runs a farm stand that sells apples and raspberries. Each pound of apples sells for $3.50 and each pound of raspberries se

krek1111 [17]

Kevin sold 10 pounds of apples and 20 pounds of raspberries.

Step-by-step explanation:

Given,

Cost per pound of apples = $3.50

Cost per pound of raspberries = $4

Total amount earned = $115

Let,

x represent the pounds of apples sold

y represent the pounds of raspberries sold

According to given statement;

3.50x+4y=115 Eqn 1

y = 2x Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$3.50x+4(2x)=115\\3.50x+8x=115\\11.50x=115$

Dividing both sides by 11.50

$\frac{11.50x}{11.50}=\frac{115}{11.50}\\x=10$

Putting x=10 in Eqn 2

$y=2(10)\\y=20$

Kevin sold 10 pounds of apples and 20 pounds of raspberries.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago