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Eva8 [605]
3 years ago
13

Find the equation of a line perpendicular to y-3x=-8 that passes through the point (3,2). Answer in slope-intercept form

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
8 0
Y - 3x = -8
y = 3x - 8...slope here is 3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -1/3.

y = mx + b
slope(m) = -1/3
(3,2)...x = 3 and y = 2
now we sub and find b, the y int
2 = -1/3(3) + b
2 = -1 + b
2 + 1 = b
3 = b

so ur perpendicular equation is : y = -1/3x + 3
Andrew [12]3 years ago
4 0
Perpendicular to y - 3x = -8 
Change that to slope form 
y = 3x - 8

Perpendicular to that means the slopes would equal to -1 when multiplied 

3x = -1
Thus the slope of the other equation would be -1/3

y - y1 = m(x - x1)
where m is the slope 
y - 2 = -1/3(x - 3)
y - 2 = (-1/3)x - 1 
y = (-1/3)x + 1
That's the equation 
hope it helps. 
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Milton makes trail mix for his hiking group he makes a 1 and 1/4 pound of peanuts 14 oz of raisins 12 oz of walnuts in 10 oz of
strojnjashka [21]

Answer:

Each hiker receives 7 ounces of trail mix

Step-by-step explanation:

Trail mix=quantity of peanuts+quantity of raisins+quantity of walnuts+quantity of chocolate chips

where;

Quantity of peanuts=1.25 pounds

Quantity of raisins=14 oz, since 1 pound=16 oz.

Quantity of raisins=(14/16)=0.875 pounds

Quantity of walnuts=12 oz=(12/16)=0.75 pounds

Quantity of chocolate chips=10 oz=(10/16)=0.625 pounds

Replacing;

Trail mix=(1.25+0.875+0.75+0.625)=3.5 pounds

Trail mix=Quantity per hiker×Number of hikers

where;

Trail mix=3.5 pounds

Quantity per hiker=q

Number of hikers=8

Replacing;

3.5=q×8

q=3.5/8=0.4375 pounds

I pound=16 ounces

q=0.4375×16=7 ounces

Each hiker receives 7 ounces of trail mix

8 0
3 years ago
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Alja [10]
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Divide 15 by v. Then, subtract 7.
rosijanka [135]

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4 0
3 years ago
Read 2 more answers
What is the sum of a 7-term geometric series if the first term is -6, the last term is -24,576, and the common ratio is 4?
Zanzabum
<h3><u>Answer:</u></h3>

Hence, the sum of a 7-term geometric series is:

-32766.

<h3><u>Step-by-step explanation:</u></h3>

We have to find the sum of a 7-term geometric series (i.e. n=7) if the first term(a) is -6, the last term is -24,576, and the common ratio(r) is 4.

We know that the sum of the 7-term geometric series is given as:

S_n=a\times (\dfrac{r^n-1}{r-1})

On putting the value of a,n and r in the given formula we have:

S_7=(-6)\times (\dfrac{4^7-1}{4-1})\\\\\\S_7=-32766

Hence, the sum of a 7-term geometric series is:

-32766.

3 0
3 years ago
Read 2 more answers
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