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alekssr [168]
3 years ago
8

Which of the following shows the true solution to the logarithmic equation solved below? log Subscript 2 Baseline (x) = log Subs

cript 2 Baseline (x + 7) = 3. log Subscript 2 Baseline left-bracket x (x + 7) right-bracket = 3. x (x + 7) = 2 cubed. x squared + 7 x minus 8 = 0. (x + 8) (x + 1) = 0. x = negative 8, 1
Mathematics
2 answers:
Maslowich3 years ago
8 0

Answer:

x=1

Step-by-step explanation:

edge 2021

zimovet [89]3 years ago
3 0

Answer:

x=1

Step-by-step explanation:

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Here is a map of a town.
Nimfa-mama [501]

Answer:

The real-life distance between the park and the theatre is of 12 km.

Step-by-step explanation:

Scale of 1:400,000

Each means that each centimeter on the map has the real distance of 400,000 cm = 4 km

What is the real-life distance between the park and the theatre?

On the map, the distance between them is of 3 centimeters.

3*4 = 12

The real-life distance between the park and the theatre is of 12 km.

3 0
3 years ago
Is the point (1, -3) a solution to the system? Show all work
Studentka2010 [4]

Answer:

The point P(1,-3) is not a solution to the system.

Step-by-step explanation:

Given  \left \{ {{y-x+2}} \right.  

Let a point be P(1,-3)

Here x = 1 ; y = -3

Substituting the values of x,y in the function

\left \{ {{y-x+2}} \right.

For y<x-1

-3 < 1-1

-3<0 (True)

now for,

y>-x+2

-3 > -1 + 2

-3 > 1 (False)

Hence the point is not a solution to the system.

6 0
3 years ago
if you have a rectangle with a length of 0.5 x + 10 feet and a width of 6 feet how could you find the area written in its simple
Greeley [361]
<h2>Greetings!</h2>

Answer:

x + 20 = area

Step-by-step explanation:

You need to recall the equation for a rectangle:

Width x Length = Area

So simply plug the values into this:

(0.5x+10) * 6

(0.5x * 6) + (10 * 6)

= 3x + 60

Simplified down by dividing by three:

\frac{3x}{3} + \frac{60}{3} = area

<h3>x + 20 = area</h3>
<h2>Hope this helps!</h2>
3 0
3 years ago
Hey!
noname [10]

Answer:

A. Cylinder + cone

<u>Volume is the sum of volumes:</u>

  • V = Vcon + Vcyl = 1/3πr²h₁ + πr²h₂
  • V = 1/3π*9²*12 + π*9²*120 = 31554.2 cm³

<u>Surface area of cone:</u>

  • A = A=πr(r+√(h₁²+r²)) = π*9(9 + √(9²+12²)) = 678.6 cm²

<u>Surface area of cylinder minus bases:</u>

  • A = 2πrh₂ = 2π*9*120 = 6785.8 cm²

<u>Total surface area:</u>

  • 678.6 + 6785.8 = 7464.4 cm²

-------------------------------------------------

B. Cube+ pyramid

<u>Volume:</u>

  • V = a³ + (1/3)a²h = a³ + (1/3)a²√(l²-(a/2)²)
  • V = 8³ + (1/3)8²√(10²-4²) = 707.5 cm³

<u>Surface area of pyramid:</u>

  • A = a² + 2al = 8² + 2*8*10 = 224 cm²

<u>Surface area of cube minus bases:</u>

  • A = 4a² = 4(8²) = 256 cm²

<u>Total surface area:</u>

  • A = 224 + 256 = 480 cm²
5 0
3 years ago
Use the Quadratic Formula to solve the equation. (Enter your answers as a comma-separated list.) 13x^2 +1 = -10
12345 [234]

Step-by-step explanation:

The given quadratic equation is :

13x^2 +1 = -10x\\\\or\\\\13x^2+10x+1=0

The formula to solve a quadratic equation is :

x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}

Put a = 13, b = 10 and c = 1

So,

x=\dfrac{-10\pm \sqrt{10^2-4(13)(1)} }{2(13)}\\\\x=-0.118, -0.651

Hence, this is the required solution.

3 0
3 years ago
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