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ratelena [41]
3 years ago
11

Solve for q. 6q = -8 + 7q

Mathematics
2 answers:
gulaghasi [49]3 years ago
8 0

Answer:

q = 8

Step-by-step explanation:

6q = -8 + 7q \\   7q -8  = 6q \\ 7q - 6q - 8 = 0 \\ q = 8

Darina [25.2K]3 years ago
7 0

6q = -8 + 7q

move 7q to the other side

sign changes from +7q to -7q

6q-7q= -8+7q-7q (combine like terms)

6q-7q= -8

-q= -8

mutiply both sides by -1 to get +q

(-q)(-1)= (-8)(-1)

Answer:

q= 8

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Nina [5.8K]

Answer: 2

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20 ÷ 10=2

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4 0
3 years ago
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weqwewe [10]

Answer:

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Step-by-step explanation:

The measure of an arc is equal to the angle at the centre subtended by the arc.

The sum of the 3 arcs = 180° , then

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3 0
3 years ago
the height of a triangle is 9m less than its base. the area of the triangle is 56 m^2 find the length of the base (SHOW STEPS)
Veronika [31]
Hey there :)

We know the area formula of a triangle
\frac{1}{2} (base)(height)

We are given:
The area = 56 m²
The base = let p represent this
The height = 9 m less than the base = p - 9

Apply the formula
56 = \frac{1}{2} × ( p ) × ( p - 9 )
56 = \frac{1}{2} × ( p² - 9p )

Divide \frac{1}{2} on both sides
56 ÷ \frac{1}{2} = p² - 9p
112 = p² - 9p

Bring 112 to the other side and equate equation to 0
p² - 9p - 112

Factorise { Sum = -9 , Product = - 112 , therefore suitable factors = - 16 × 7 )
( p - 16 )( p + 7 ) = 0
     ↓          ↓
 p = 16    p = - 7  ←  Reject p = - 7 since length cannot be negative

So, the length  of the base is 16 m

Check:
56 m² = \frac{1}{2} × 16 × ( 16 - 9 )
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7 0
3 years ago
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4 0
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