Answer:
(x + 7)(x + 3).
Step-by-step explanation:
x^2 +10x + 21
21 = 7 * 3 and 10 = 7 +3
so the factors are
(x + 7)(x + 3).
3x + 1y = ¹/₃ ⇒ 9x + 3y = 1
2x - 3y = 2²/₃ ⇒ 2x - 3y = 2²/₃
11x = 3²/₃
11 11
x = ¹/₃
3x + y = ¹/₃
3(¹/₃) + y = ¹/₃
1 + y = ¹/₃
- 1 - 1
y = ⁻²/₃
(x, y) = (¹/₃, ⁻²/₃)
Its the slope...rise over run. how many going down/up and how many going across
hope this helps
Answer:
5 sessions each
Step-by-step explanation:
Let the personal training sessions be x.
<u>Then at Silver Gym Sarah would spend:</u>
<u>And at Fit Factor she would spend:</u>
<u>Since total costs are same, the amounts will be equal:</u>
- 35+30x = 85 + 20x
- 30x - 20x = 85 - 35
- 10 x = 50
- x= 50/10
- x= 5
So Sarah would buy 5 training sessions for each of the gyms.
And she would spend $185 at each.
The measure of angle RQS is 50°.
Solution:
Given data:
m(ar QTS) = 260°
<u>Tangent-chord theorem:</u>
<em>If a tangent and chord intersect at a point, then the measure of each angle formed is half of the measure of its intercepted arc.</em>
m∠PQS = 130°
<em>Sum of the adjacent angles in a straight line is 180°.</em>
m∠PQS + m∠RQS = 180°
130° + m∠RQS = 180°
Subtract 130° from both sides.
130° + m∠RQS - 130° = 180° - 130°
m∠RQS = 50°
The measure of angle RQS is 50°.
