(a) * (a+1) = 420
a^2 + a = 420
a^2 + a - 420 = 0
(a+21)(a-20) = 0
a = -21 OR 20
The two integers can be -21 and -20, OR 20 and 21.
Answer:
- 225°
- quadrant 3
- reference angle of 45°
Step-by-step explanation:
585-360= 225
225° is in quad 3
reference angle for quad 3 is
225° - 180°
Answer:
$18
Step-by-step explanation:
15 x 15% = 2.25 This is the tip.
15 x 5% = 0.75 This is the tax amount.
ADD THEM ALL UP:
2.25 + 0.75 + 15 = $18
<h3><u>
<em>Hope this helps!!! </em></u></h3><h3><u>
<em>: )</em></u></h3>
Remark
It's a right triangle so the Pythagorean Theorem applies. All you have to do is put the right things in the right places of the formula.
Givens
a = x
b = x + 4
c = 20
Formula and Substitution.
a^2 + b^2 = c^2
x^2 + (x + 4)^2 = 20^2
Solution
x^2 + x^2 + 8x + 16 = 20 Collect the like terms on the left.
2x^2 + 8x + 16 = 20 Subtract 20 from both sides.
2x^2 + 8x + 16 - 20 = 0
2x^2 + 8x - 4 = 0 Divide through by 2
x^2 + 4x - 2 = 0
Use the quadratic formula
a = 1
b = 4
c = - 2

From which x = (-4 +/- sqrt(24) ) / 2
x1 = (- 4 +/- sqrt(4*6) ) / 2
x1 = (- 4 +/- 2 sqrt(6) ) / 2
x1 = -2 + sqrt(6)
x2 = -2 - sqrt(6) This is an extraneous root. No line can be minus.
x1 = + 0.4495
x2 = x + 4 = 4.4495
Answer:
16
Step-by-step explanation:
2 to the power 4
2 × 2 × 2 × 2 = 4 × 2 × 2 = 8 × 2 = 16