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2 years ago

Parallel to y - 2x = 4 and passes through (0,5)

Mathematics

1 answer:

wolverine [178]2 years ago

4 0

Answer:

y=2x+5

Step-by-step explanation:

y=2x+4 means that the slope is m1=2

A parallel line shall have the same slope so

m2=m1=2

Therefore, the equation of the new line will be

y=2x+q

where q is the y-intercept, that is 5 because the line must pass in (0,5), so

q=5

and

y=2x+5

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A tennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24. The players were still hungry so the coa

g100num [7]

The cost of 1 hamburger is $ 2.5 and cost of 1 fries is $ 0.8

<h3><u>Solution:</u></h3>

Let "f" be the cost of 1 fries

Let "h" be the cost of 1 hamburger

<em><u>Given that, tennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24</u></em>

8 x cost of 1 hamburger + 5 x cost of 1 fries = 24

$8 \times h + 5 \times f = 24$

8h + 5f = 24 -------- eqn 1

<em><u>The players were still hungry so the coach bought six more hamburgers and two more fries for $16.60</u></em>

6 x cost of 1 hamburger + 2 x cost of 1 fries = 16.60

$6 \times h + 2 \times f = 16.60$

6h + 2f = 16.60 ------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 2

16h + 10f = 48 ------ eqn 3

Multiply eqn 2 by 5

30h + 10f = 83 -------- eqn 4

<em><u>Subtract eqn 3 from eqn 4</u></em>

30h + 10f = 83

16h + 10f = 48

( - ) ----------------------

14h = 35

Substitute h = 2.5 in eqn 1

8(2.5) + 5f = 24

20 + 5f = 24

5f = 4

Thus cost of 1 hamburger is $ 2.5 and cost of 1 fries is $ 0.8

5 0

3 years ago

graph the line that passes through the point (0, -3) and is perpendicular to another line whose slope is 2

Nadya [2.5K]

Answer:

y = -1/2x -3

Step-by-step explanation:

The line perpendicular to one with a slope of 2 will have a slope that is the negative reciprocal of 2, that is, -1/2. The given point is the y-intercept of the required line, so we can write its equation directly in slope-intercept form:

y = mx + b

where m is the slope (-1/2), and b is the y-intercept (-3). Your line is ...

y = -1/2x -3

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3 years ago

A city has a population of 340,000 people. suppose that each year the population grows by 5.75% . what will the population be af

Norma-Jean [14]

Population = 340,000 * (1.0575)^years
Population = 340,000 * (1.0575)^15
<span><span>Population = 340,000 * 2.3131598242 </span>
</span>Population = <span><span><span>786,474</span></span></span>

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3 years ago

What is the area of the reduced rug, in square feet?

Alinara [238K]

Answer:

100

Step-by-step explanation:

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3 years ago

Ted throws an object into the air with an initial vertical velocity of 54 feet per second from a platform that is 40 feet above

ANTONII [103]

PERFECT application of the general equation of things
that are moving up and down in gravity:

   H(t) = H₀ + v₀t + 1/2 g t²

t = time after the toss
H(t) = height at any time after the toss
H₀ = height from which it's tossed
v₀ = initial speed
g = acceleration of gravity

I'm going to call 'UP' = the positive direction .
So ...

H₀ = +40 ft
v₀ = +54 ft/sec
g = -32 ft/sec²

When the object hits the ground, H(t) = 0 .
So you have ...

   0 = 40 + 54 t - 16 t²

Let me re-write that for you, to make it a
little easier and more familiar:

      - 16 t² + 54 t + 40 = 0

Divide each side by -2 :    8 t²   - 27 t - 20 = 0

Now go to your toolbox, pull out your quadratic formula,
solve that quadratic equation, and you'll get the usual two
solutions.

The positive one is the one you want.

The negative one refers to time before the toss, and may be discarded.

4 0

3 years ago

Read 2 more answers