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3 years ago

write a point-slope equation for the line that passes through the point (6,8) and is parallel to the line given by y=-5x+4

Mathematics

1 answer:

VashaNatasha [74]3 years ago

3 0

Answer:

y -8 = -5(x -6)

Step-by-step explanation:

The point-slope form of the equation for a line is generally written ...

y -k = m(x -h)

for slope m and point (h, k).

The slope of your parallel line is the same as the slope of the reference line, -5. So your equation is ...

y -8 = -5(x -6)

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Daniel's tennis team made $582.85 from running the concession stand at a basketball game. The food and drinks cost the team $64.

Flura [38]

Let x be the number of members in Daniel's tennis team.

The amount made = $582.85

Expenses (food and drinks) = $64

Balance remaining for sharing = 582.85 - 64 = $518.85

Amount received by each player = (amount made - Expenses) / Number of members = 518.85/x

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4 years ago

Read 2 more answers

Eli wants to combine 0.5 gallons of a 10% acid solution with a 35% solution to make a 15% acetic acid solution. He needs to dete

algol13

Answer:

Here you go :)

Step-by-step explanation:

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3 years ago

the eccentricity of a hyperbola is defined as e=c/a. find an equation with vertices (1,-3) and (-3,-3) and e=5/2

Ksivusya [100]

Answer:

$\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1$ .

Step-by-step explanation:

If (α, β) are the coordinates of the center of the hyperbola, then its equation of the hyperbola is $\frac{(x - \alpha )^{2} }{a^{2} } - \frac{(y - \beta )^{2} }{b^{2} } = 1$ .

Now, the vertices of the hyperbola are given by (α ± a, β) ≡ (1,-3) and (-3,-3)

Hence, β = - 3 and α + a = 1 and α - a = -3

Now, solving those two equations of α and a we get,

2α = - 2, ⇒ α = -1 and

a = 1 - α = 2.

Now, eccentricity of the hyperbola is given by $b^{2} = a^{2}(e^{2} - 1) = 4[(\frac{5}{2} )^{2} -1] = 21$ {Since $e = \frac{5}{2}$ given}

Therefore, the equation of the given hyperbola will be

$\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1$ . (Answer)

6 0

3 years ago

Find the missing factor BBB that makes the equality true. -35x^6=(-5x^2)(B)−35x 6 =(−5x 2 )(B)minus, 35, x, start superscript, 6

Sveta_85 [38]

Answer:

$B=7x^4$

Step-by-step explanation:

The given equality is

$-35x^6=(-5x^2)B$

Take the term $(-5x^2)$ to the left hand side. This means the term $-35x^6$ will be divided by $(-5x^2)$

$\dfrac{-35x^6}{(-5x^2)}=B$

Now since both the numerator and denominator have negative sign the value of fraction will be positive.

$\dfrac{35x^6}{(5x^2)}=B$

Now $5\times 7=35$ and $x^{6-2}=x^4$

$7x^4=B$

So, the missing factor $B=7x^4$

4 0

3 years ago

A rectangle has an area of 342 square meters. The width is 2 more than 4 time the length. Find the length and width, in meters o

Anna35 [415]

Answer:

length: 9 m
width: 38 m

Step-by-step explanation:

Let x represent the length of the rectangle. The the width is (4x+2) and the area is ...

x(4x+2) = 342

2x² +x - 171 = 0 . . . . . divide by 2, rearrange to standard form

(2x +19)(x -9) = 0 . . . factor

x = -19/2 or +9 . . . . . the length is the positive solution: 9

(4x+2) = 4(9) +2 = 38 . . . . find the width from the length

The length of the rectangle is 9 meters. The width is 38 meters.

3 0

2 years ago