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sasho [114]
3 years ago
6

Solve (algebraically by any method) 3x to the 2 power +8x - 4= 0

Mathematics
1 answer:
Ratling [72]3 years ago
5 0
3 x^{2} + 8x +(-4) = 0
x = <u>-b + √ b² - 4ac</u>
               2a
x = <u>-8 + √ 8² - 4(3)(-4)</u>
                 2(3)
x = <u>-8 + √64 - 48 </u>
               6
x = -<u>8 + √16
</u>           6<u>
</u>x = -<u>8 + 4 </u>      x = <u>-8 - 4</u>
         6                    6<u>
</u>x = <u>-4  </u>            x = <u>-12</u>
      6                       6    
x =<u> -2 </u>             x = -2<u>
</u>      3   <u>
</u>
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a trapezoid has a perimeter of 14ft what will the perimeter be if each side length id increased by a factor of 7
Sedaia [141]

Answer:

42

Step-by-step explanation:

Trapezoid has 4 lines

If each side increase by 7, 4 lines totally increase by 7*4 = 28

Perimeter will be 14 + 28 = 42

5 0
2 years ago
Which point does not lie on the circle centered at (3, 2) with radius 5? A) (0, 6) B) (3, -3) C) (-2, 2) D) (3, 0)
vladimir1956 [14]

Answer:

D

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (3, 2) and r = 5, hence

(x - 3)² + (y - 2)² = 25 ← equation of circle

If an ordered pair lies on the circle then it satisfies the equation, if not then it does not lie on the circle.

Substitute the coordinates of the points into the left side of the equation of the circle and check validity.

A

(0 , 6) : (0 - 3)² + (6 - 2)² = 9 + 16 = 25 ← lies on circle

B

(3, - 3) : (3 - 3)² + (- 3 - 2)² = 0 + 25 = 25 ← lies on circle

C

(- 2, 2) : (- 2 - 3)² + (2 - 2)² = 25 + 0 = 25 ← lies on circle

D

(3, 0) : (3 - 3)² + (0 - 2)² = 0 + 4 = 4 ≠ 25 ← not on circle

7 0
3 years ago
What is 5(a+3) in algebra
LiRa [457]
If you would like to know what is 5 * (a + 3) in algebra, you can calculate this using the following step:

5 * (a + 3) = 5 * a + 5 * 3 = 5 * a + 15

The correct result would be 5 * a + 15.
3 0
3 years ago
Read 2 more answers
Solve: 2x ≤ -2/3 (4x + 4)
Sidana [21]
Answer: x ≤ 1

reason:

first, multiply 4x and 4 by -2/3, which leaves you with the equation 2x ≤ -8/3x + 8/3
then, you add 8/3x to both sides, making it 4 2/3x ≤ 8/3
divide both sides by 4 2/3 and you get x ≤ 1
6 0
3 years ago
Read 2 more answers
Cell Phone Company A charges $20 each month plus $0.03 per text. Cell Phone Company B charges $5 each month plus $0.07 per text.
Sidana [21]
Ur equations are :
C = 0.03t + 20...this is company A
C = 0.07t + 5....this is company B

now...for them to be equal...set them equal and solve for t
0.03t + 20 = .07t + 5
-5 + 20 = 0.07t - 0.03t
15 = 0.04t
15/0.04 = t
375 = t.......there would have to be 375 texts

4 0
3 years ago
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