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solmaris [256]
2 years ago
6

If (a+b)(a-b)=21,a+b=7 and a-b=3 what Is the value of a

Mathematics
1 answer:
topjm [15]2 years ago
8 0

9514 1404 393

Answer:

  5

Step-by-step explanation:

Add the latter two equations and you get ...

  (a +b) +(a -b) = (7) +(3)

  2a = 10 . . . . . . . . . . . . . . . simplify

  a = 5 . . . . . . . divide by 2

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Jerome has 1/2 of the group's video games at his house. Mario has 2/5 of the group's video games at his
larisa86 [58]

Answer:

9/10

Step-by-step explanation:

you find the lowest common denominator in this case is 10

then you take 1/2 and multiply it by 5 both the bottom and top and then you should get 5/10

next you do the same with 2/5 but this time to the get the denominator to 10 you multiply by 2 again multiply both bottom and top and you should get 4/10

now you just add 4/10 and 5/10 together and you get 9/10 or 0.9 as a decimal

8 0
3 years ago
I need help with shifting functions
elixir [45]

。☆✼★ ━━━━━━━━━━━━━━  ☾  

g(x) = h(x - 7) + 5

The plus 5 on the outside of the brackets represents the graph moving up by 5 units

The minus 7 on the inside of the brackets represents the graph moving right by 7 units.

Note: When it is on the inside of the brackets, you would do the opposite of what it suggests.

Normally, minus 7 would mean the graph shifts to the left, however, it means the opposite in this case.

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3 0
3 years ago
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What is the value of m in the equation 1/2 m - 3/4 n = 16, when n = 8?
Vera_Pavlovna [14]

Answer:

1/2m-3/4n=16

1/2m-3/4×8=16 [n=8]

1/2m-6=16

1/2m=16+6

1/2m=22

22 divide with 1/2 use calculator

m=44

8 0
2 years ago
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The amount of force needed to keep a 0.1 kg basketball moving at a constant speed of 6 m/s on friction less ice is ____ Newtons
3241004551 [841]
Basketball has a mass of 0.1kg
m = 0.1 kg
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a = 0m/s²
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v = 6m/s
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F = ma
F = m × 0
F = 0N
So, since the basket ball is moving at constant speed, then, the force need to keep the ball moving is 0N.
7 0
3 years ago
What is the kinetic energy of a jogger with a mass of 65.0 kg traveling at a speed of 2.5 m/s
Alexxandr [17]
KE = 1/2mv^2

KE = 1/2(65)*2.5^2
KE = 32.5*2.5^2

KE = 203.125 Joules

The kinetic energy is equal to <span>203.125 J. </span>
7 0
3 years ago
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