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AfilCa [17]
3 years ago
8

6(x-5) = 5(x+5)

Mathematics
1 answer:
Mariana [72]3 years ago
4 0

Part 1:

6(x-5) = 5(x+5) (x = 55)

4y + 2 (-3 + 2y) = 1-y (x = 7/9)

Part 2:

4(a-6) = 8a - (4a-24) (No Solution)

4(2x-8) = 8(x-8) (No Solution)

2(3x-3) = -6x-6 (Identity (x = 0))


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The roots of the equation 3x²-2x-4=0 are J and K. Evaluate J² + K².
melamori03 [73]

Answer:

28/9

Step-by-step explanation:

If the roots are J and K, then:

3 (x − J) (x − K) = 0

3 (x² − (J+K)x + JK) = 0

So if we factor out the leading coefficient:

3x² − 2x − 4 = 0

3(x² − 2/3x − 4/3) = 0

The coefficient of the second term is the sum of the roots:

J + K = 2/3

And the constant is the product of the roots:

JK = -4/3

If we take the sum of the roots and square it:

(J + K)² = (2/3)²

J² + 2JK + K² = 4/9

And subtract twice the product:

J² + K² = 4/9 − 2JK

J² + K² = 4/9 − 2(-4/3)

J² + K² = 4/9 + 8/3

J² + k² = 28/9

6 0
3 years ago
How many plants spaced every 6 in. are needed to surround a circular walkway within a 25 ft. radius?
e-lub [12.9K]
Consider the following formula to find the circumference of circle
C= 2^_r
here r is radius of circle
the radius of circular is 25 ft.
Therefore circumference is as follows
C = 2^_r

= 2 × 3.14 (25)
= 157.
circumference of circle feet is 157 × 12 inches.
7 0
3 years ago
A standard interior staircase has steps each with a rise (height) of 21 cm and a run (horizontal depth) of 24 cm. Research sugge
Alisiya [41]

Answer:

The staircase would extends 1.20 m if the changes were made.

Step-by-step explanation:

Acording tho the statement the total heigth is 5.04 m, that is 504 cm, each steps rises 21 cm. with this information we can calculte how many steps are in the whole staircase:

Number steps= \frac{Total heigth}{each step} \\Number steps= \frac{504}{21}  = 24 steps

To calculate how much the staircase will extend, whe have to multiply the horizontal depth times the number of steps.

using the run of 24 cm that gives us a lengt of 576 cm and if the changes were made the new length will be 696 cm.

So the staircase would extend an amount of (696 - 576), that is 120 cm, or 1.20 m, if the changes were made.

6 0
2 years ago
Which of the following is most likely the next step in the series
Anna35 [415]

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbb

8 0
2 years ago
Read 2 more answers
What is the solution of the system?
Murrr4er [49]
The Answer is....
x=-3 and y=3
(-3,3)
5 0
3 years ago
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