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3 years ago

Pls help.

Mathematics

2 answers:

vesna_86 [32]3 years ago

7 0

Answer:

Honey , .Gasoline,orange juice

Step-by-step explanation:

it deleted my answer.

tino4ka555 [31]3 years ago

3 0

Answer:

A.orange juice

F.Gasoline

H.Honey

Step-by-step explanation:

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Karla has spent $42 on food. She bought

Mandarinka [93]

Answer:

What is the question?

Step-by-step explanation:

4 0

3 years ago

Find the locus of a point such that the sum of its distance from the point ( 0 , 2 ) and ( 0 , -2 ) is 6.

jok3333 [9.3K]

Answer:

$\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1$

Step-by-step explanation:

We want to find the locus of a point such that the sum of the distance from any point P on the locus to (0, 2) and (0, -2) is 6.

First, we will need the distance formula, given by:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let the point on the locus be P(x, y).

So, the distance from P to (0, 2) will be:

$\begin{aligned} d_1&=\sqrt{(x-0)^2+(y-2)^2}\\\\ &=\sqrt{x^2+(y-2)^2}\end{aligned}$

And, the distance from P to (0, -2) will be:

$\displaystyle \begin{aligned} d_2&=\sqrt{(x-0)^2+(y-(-2))^2}\\\\ &=\sqrt{x^2+(y+2)^2}\end{aligned}$

So sum of the two distances must be 6. Therefore:

$d_1+d_2=6$

Now, by substitution:

$(\sqrt{x^2+(y-2)^2})+(\sqrt{x^2+(y+2)^2})=6$

Simplify. We can subtract the second term from the left:

$\sqrt{x^2+(y-2)^2}=6-\sqrt{x^2+(y+2)^2}$

Square both sides:

$(x^2+(y-2)^2)=36-12\sqrt{x^2+(y+2)^2}+(x^2+(y+2)^2)$

We can cancel the x² terms and continue squaring:

$y^2-4y+4=36-12\sqrt{x^2+(y+2)^2}+y^2+4y+4$

We can cancel the y² and 4 from both sides. We can also subtract 4y from both sides. This leaves us with:

$-8y=36-12\sqrt{x^2+(y+2)^2}$

We can divide both sides by -4:

$2y=-9+3\sqrt{x^2+(y+2)^2}$

Adding 9 to both sides yields:

$2y+9=3\sqrt{x^2+(y+2)^2}$

And, we will square both sides one final time.

$4y^2+36y+81=9(x^2+(y^2+4y+4))$

Distribute:

$4y^2+36y+81=9x^2+9y^2+36y+36$

The 36y will cancel. So:

$4y^2+81=9x^2+9y^2+36$

Subtracting 4y² and 36 from both sides yields:

$9x^2+5y^2=45$

And dividing both sides by 45 produces:

$\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1$

Therefore, the equation for the locus of a point such that the sum of its distance to (0, 2) and (0, -2) is 6 is given by a vertical ellipse with a major axis length of 3 and a minor axis length of √5, centered on the origin.

5 0

3 years ago

Read 2 more answers

Solve the problem using 6.2%, up to $128,400 for Social Security tax and using 1.45%, no wage limit, for Medicare tax.

maksim [4K]

Based on the social security tax rate and the Medicare tax, the monthly Social security is $109.12 and the Medicare tax is $25.52.

<h3>What is monthly social security act?</h3>

Graham, C. has not reached the $128,400 threshold for social security so the Social Security tax withholding for the month will be:

= Monthly salary x Social security rate

= 1,760 x 6.2%

= $109.12

The Medicare has no limit and so will be:

= 1,760 x 1.45%

= $25.52

Find out more on Social Security and Medicare at brainly.com/question/27677508.

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1 year ago

Translate into an algebraic expression: If I travel d miles in h hrs downstream on a river with a current of c mph, what would m

xenn [34]

Answer:

The speed is still water is $v = \frac{d}{h} - c$ .

Step-by-step explanation:

Dimentionally speaking, speed is distance divided by time. Since, the person is travelling downstream, absolute speed is equal to the sum of current speed and speed of the person regarding current. Both components are constant. That is:

$c + v = \frac{d}{h}$

Where:

$c$ - Current speed, measured in miles per hour.

$v$ - Speed of the person regarding current, measured in miles per hour.

$d$ - Distance travelled downstream, measured in miles.

$h$ - Time spent on travelling, measured in hours.

Speed in still water occurs when current speed is zero. Then, such variable is obtained after subtracting current speed on both sides of the expression. Hence:

$v = \frac{d}{h} - c$

The speed is still water is $v = \frac{d}{h} - c$ .

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3 years ago

Which of the following binomials is a factor of x^3+4x^2+x-6

larisa [96]

The answer could be 3, 2, or 1

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3 years ago