Answer:
6²
Step-by-step explanation:
Use the rule of exponents ...
(a·b)^c = a^c·b^c
Your expression has a=3, b=2, c=2.
3²·2² = (3·2)² = 6²
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If you want to get more sophisticated than that, logarithms can get involved.
First move the 14x over to get 7y=-14x-9 then divide by 7 and you get y= -2x-9/7. the slope is the value next to the x in y=mx+b form so the slope is -2
Answer:
<em>x = 17°, m∠ A = 114°</em>
Step-by-step explanation:
We can tell that these pair of angles are corresponding, provided;
Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,
m∠ A = m∠ B ⇒ Substitute values of A and B,
6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,
3x + 12 = 63 ⇒ Subtract 12 on either side of equation,
3x = 51 ⇒ Divide either side by 3,
<em>x = 17 </em>⇒ Substitute value of x to solve for m∠ A,
m∠ A = 6 * ( 17 ) + 12,
m∠ A = 102 + 12,
<em>m∠ A = 114</em>
<em>Solution; x = 17°, m∠ A = 114°</em>
3 yards fabric costs $7.47
1 yard fabric costs $7.47 / 3
2 yard fabric costs $7.47 / 3 * 2
= $4.98
so, the extra fabric will cost $4.98
Answer:
H + P = 14
3.50H + 2.50P = 43
Step-by-step explanation:
Given that
H denotes half gallons of ice cream
P denotes packages of ice cream cones
Now
H + P = 14
And,
3.50H + 2.50P = 43
So, the systems of equations would be
H + P = 14
3.50H + 2.50P = 43
