Answer:
x = 15 or x = - 
Step-by-step explanation:
Cross- multiplying gives
(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )
238x² + 172x + 30 = 243x² + 99x
rearrange into standard form : ax² + bx + c = 0
5x² - 73x - 30 = 0 ← in standard form
consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )
the factors are - 75 and + 2
Use these factors to split the middle term
5x² - 75x + 2x - 30 = 0 ( factor by grouping )
5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)
(x - 15)(5x + 2) = 0
equate each factor to zero and solve for x
x - 15 = 0 ⇒ x = 15
5x + 2 = 0 ⇒ x = -
Answer : - 4 + 3 = - 1
- 2 + 3 = 1
By half gives - 1/2 and 1/2
So midpoint (-1/2, 1/2)
Answer:
160
Step-by-step explanation:
Plug in 6 for r, and 8 for s in the expression:
(r)(s) + (14)(s) = (6)(8) + (14)(8)
Remember to follow PEMDAS. First, multiply, then add:
(6 * 8) + (14 * 8)
48 + 112
112 + 48 = 160
160 is your answer.
~
Answer:
k=−5
Step-by-step explanation:
−3(k+7)−5k+4=23
(−3)(k)+(−3)(7)+−5k+4=23(Distribute)
−3k+−21+−5k+4=23
(−3k+−5k)+(−21+4)=23(Combine Like Terms)
−8k+−17=23
−8k−17=23
Step 2: Add 17 to both sides.
−8k−17+17=23+17
−8k=40
Step 3: Divide both sides by -8.
−8k
−8
=
40
−8
k=−5
Answer:
k=−5
Answer:
a. 3, 100 degrees
- I know 6 is 100 degrees and angle 3 is identical to angle 6. Therefore, angle 3 is 100 degrees.
b. 6, 100 degrees
- Angle 3 and 6 are identical. This means angle 6 is 100 degrees.
c. 4, 80
- Knowing a straight line is 180 degrees and all other angles are 100 degrees, I subtracted 180-100 = 80 degrees
Step-by-step explanation:
Everything was explained above, but be sure to know...
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- Hope that helps! Please let me know if you need further explanation.
