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spin [16.1K]
3 years ago
14

Write an equation (y=mx+b) through the points: (3,-1) and (8,9)

Mathematics
1 answer:
Advocard [28]3 years ago
4 0

Answer:

y=2x-7

Step-by-step explanation:

m==2

y=mx+b

9=16-7

y=2x-7

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Two planes leave an airport at noon. If the eastbound plane flies at 660 mph and the westbound plane flies at 600 mph, at what t
Eddi Din [679]
I'm guessing that they took of in the same airport.

Each hour they will separate by 1260 miles or 21 miles each minute

2,000/21 = 95.23 minutes which is 1 hour and 35 minutes

Hope this helps :)
6 0
3 years ago
How many 3-person committees can be formed in a club with 8 members??
earnstyle [38]
=8C3
=8!/(3!*5!)
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7 0
3 years ago
The altitude of a triangle is 1cm shorter than the base. If the area of the triangle is 15cm2, calculate the altitude.
WITCHER [35]

Answer:

5 cm

Step-by-step explanation:

We khow that the altitude of this triangle is 1cm shorter than the base

  • Let H be our altitude and B our base and A the area of the triangle
  • A= (B*H)/2 ⇒ 15=(B*H)/2
  • H is 1cm shorter than B ⇒ B=H+1
  • H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0

that's a quadratic equation . Let's calculate the dicriminant .

Let Δ be the dicriminant

  • a=1
  • b=1
  • c= -30
  • Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0
  • Δ≥0⇔ that we have two solutions x and y
  • x= (-1-\sqrt{121})/2= (-1-11)/2= -6
  • y= (-1+\sqrt{121})/2= 10/2 = 5

We have a negative value and a positive one

The altitude is a distance so it can't be negative

H= 5cm

6 0
3 years ago
What is the surface area of this cuboid?<br> height: 5cm<br> length: 9cm<br> width: 4cm
bazaltina [42]

Answer:

180

Step-by-step explanation:

formulae=H×L×W so....5×9×4=180

4 0
2 years ago
Please help! im struggling
ANEK [815]
3. x=0 y= 3
4. x=-2 y=3
8 0
3 years ago
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