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Alona [7]
3 years ago
15

Determine the surface area of a rectangular prism if

Mathematics
1 answer:
Aneli [31]3 years ago
7 0

Answer:

236in2

Step-by-step explanation:

the equation is:

2[ (lw)(hl)(hw)]

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compute the value of the discriminant and give the number of real solutions of the quadratic equation. -2x²+3x+5=0
SCORPION-xisa [38]

Given a quadratic equation in standard form

y=ax^2+bx+c

The discriminant D

D=b^2-4ac

tells the types of roots the equation has.

In this case, we have

\begin{gathered} -2x^2+3x+5=0 \\ a=-2 \\ b=3 \\ c=5 \end{gathered}

Then, the discriminant of this quadratic equation will be

\begin{gathered} D=b^2-4ac \\ D=(3)^2-4(-2)(5) \\ D=9+40 \\ \mathbf{D=49} \end{gathered}

Finally, the value of discriminat is 49 and as he discriminant is greater than zero then this quadratic equation has 2 different real solutions.

8 0
1 year ago
Holly spends 7 3/5 hours in school each day. Her lunch is 1/2 hour long, and she spends 7/10 of a hour switching classes. The re
Ira Lisetskai [31]
<span>
y = 7 + 3/5
y = 35/5 + 3/5
y = 38/5
y = 2*(38/5)
y = 76/10
---
lunch time:
z = 1/2
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15

x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666

answer:
 1.07 hours</span>
5 0
3 years ago
Solve 3(x+2)+5(x+2)=64
valkas [14]

Answer:

6

Step-by-step explanation:

3x+6+5x+10=64

3x+5x+6+10=64

8x+16=64

8x=64-16

8x=48

divide both sides by 8

x=6

6 0
3 years ago
(x+1)^2+(x-1)^2-2x(x+2)=0
antoniya [11.8K]

Answer:

x = 1/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

  • (x+1)^2+(x-1)^2-2x(x+2)=0
  • x^2 + 2x + 1 + x^2 - 2x + 1 -2x^2 -4x = 0
  • (x^2 + x^2-2x^2) + (2x-2x-4x)+(1+1)=0
  • -4x + 2 = 0

Step 2: Subtract 2 from both sides.

  • -4x + 2 - 2 = 0 - 2
  • -4x = -2

Step 3: Divide both sides by -4.

  • \frac{-4x}{-4} = \frac{-2}{-4}
  • x = \frac{1}{2}
8 0
3 years ago
Solve the equation using the quadratic formula.
Brrunno [24]
Hello:
x²+3x-2 = 0
delta = b²-4ac       a=1       b = 3        c = -2
delta =(3)²-4(1)(-2) =17 =(<span>√17)² 
</span><span>x = −3±√17/2</span>

7 0
3 years ago
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