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maria [59]
2 years ago
9

-HELPPP!

Mathematics
1 answer:
suter [353]2 years ago
8 0

Answer:

p(x) = A(x - 4i)(x + 4i)(x - 3)(x + 3), with A = 1.

it matches

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Find the equation of the line through (6,8) which is parallel to the line y=4x−6.
Ratling [72]

Answer:

y=4x-16

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

<u />y=4x-6<u />

4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into y=mx+b:

y=4x+b

<u>2) Determine the y-intercept (b)</u>

y=4x+b

Plug in the given point (6,8) and solve for b

8=4(6)+b\\8=24+b

Subtract 24 from both sides to isolate b

8-24=24+b-24\\-16=b

Therefore, the y-intercept of the line is -16. Plug this back into y=4x+b:

y=4x-16

I hope this helps!

3 0
3 years ago
Tony is mailing packages. Each small package costs him $2.80 to send. Each large package costs him $3.60. How much will it cost
Natasha_Volkova [10]

Answer:

The answer is $33.6

Step-by-step explanation:

Each small package costs him $2.80

3 small packages will cost him 3 x $2.80 = $8.4

 

Each large package costs him $3.60

7 large packages will cost 7 x $3.60 = $25.2

 

Cost to  send 3 small packages and 7 large packages = $8.4 + $25.2

= $33.6

6 0
3 years ago
Write the rate as a unit rate:<br> 400 miles in 8 hours
nikdorinn [45]

Answer:

50miles/hour

Step-by-step explanation:

400/8 is 50.

4 0
3 years ago
the coordinates of the endpoints of BC are B(3,2) and C(8,17). Point D is on BC and divides it such that BD:CD is 3:2. What are
eduard
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3 0
3 years ago
how much water should be mixed with 6 gallons of 55% solution of sulfuric acid to make a 20% solution of sulfuric acid
nevsk [136]
Hello.

For all dilution problems use the dilution equation: 
<span>C1V1 = C2V2 </span>
<span>20*V1 = 6*55 </span>
<span>V1 = 6*55/20 </span>
<span>V1 = 16.5 gallons </span>
<span>The final volume must be 16.5 gallons </span>
<span>You must add 16.5 - 6 = 10.5 gallons water to be added.
</span>
Have a nice day
6 0
3 years ago
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