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3 years ago

What is the equation of the line that passes through the point (8,−4) and has a slope of 1/2

Mathematics

1 answer:

jeka57 [31]3 years ago

6 0

Answer:

y=1/2x+8

Step-by-step explanation:

-4=1/2*8+b

-4=4+b

b=4+4

b=8

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The median home value in Torrance is currently $750,900. Last Year the median home price in Torrance was 650,700. What is the pe

Solnce55 [7]

Answer:

15.40(approximately).

Step-by-step explanation:

The current price is $750900.

The last year the price was $650700.

Amount increase in the price is $(750900 - 650700) = $100200.

Hence the percentage is $\frac{100200}{650700} times 100$ = 15.40 (approximately).

5 0

3 years ago

Dwayne drove 18 miles to the airport to pick up his father and then returned home. On the return trip he was able to drive an av

Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving <u>to</u> the airport (in mph)

⇒ v + 15 = average speed driving <u>from</u> the airport (in mph)

Using: distance = speed x time

$\implies t=\dfrac{d}{v}$

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

$\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}$

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

$\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1$

Now all we have to do is solve the equation for v:

$\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1$

$\implies \dfrac{18(v+15)+18v}{v(v+15)}=1$

$\implies 18(v+15)+18v=v(v+15)$

$\implies 18v+270+18v=v^2+15v$

$\implies v^2-21v-270=0$

$\implies (v-30)(v+9)=0$

$\implies v=30, v=-9$

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

8 0

2 years ago

Read 2 more answers

I need help on this parallelograms math problem.

Andrews [41]

w=37

2w+w+69= 180 knowing that all triangles add up to 180 form an equation

3w+69=180 combine like terms and subtract 69 from both sides

3w=111 divide by 3 from both sides

w=37

5 0

3 years ago

Read 2 more answers

The question and information is on the photo pls if you can give me the work to.

alekssr [168]

Answer:

SI = 2052.61 ft

Step-by-step explanation:

cos 13 = 2000/SI

0.9744 = 2000/SI

multiply both sides by SI:

(SI)(0.9744) = 2000

divide both sides by 0.9744:

SI = 2052.61 ft

8 0

3 years ago

Peter has $40.25 in his piggy bank. The amount is made up of an equal number of four coins. The coins could be 1c, 10c, 5c, 25c,

Crazy boy [7]

Answer:

Step-by-step explanation:

It’s made up of the 1 dollar coin , .50 cents coin, .25 cents coin, and the .10 cents coin. If you multiply each by 25 you get the exact value , so these coins make it up but there is exactly 25 of each

7 0

3 years ago