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4 years ago

13

Only one line can pass between two points. TRUE OR FALSE

1 answer:

Akimi4 [234]4 years ago

7 0

The answer to the item above is TRUE. Two points are needed to define the properties of the line or ray generated. If a line passes through the same points, the line is just the same as the original. So, basically there is only one line that can pass through the points.

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How do I even start this? And how to i order the equation to solve

Kobotan [32]

$f(g(h(x)))=f(g(\sqrt x))=f(\sqrt x-1)=\boxed{(\sqrt x-1)^4+4}$

This is because

$h(x)=\sqrt x$

$g(x)=x-1$

$\implies g(h(x))=\sqrt x-1$

(that is, replace any instance of <em>x</em> in the definition of <em>g</em> with √<em>x</em> )

and

$f(x)=x^4+4$

$\implies f(\sqrt x-1)=(\sqrt x-1)^4+4$

(replace any <em>x</em> in <em>f</em> with √<em>x</em> - 1)

Also acceptable:

$(\sqrt x-1)^4+4=((\sqrt x)^4-4(\sqrt x)^3+6(\sqrt x)^2-4\sqrt x+1)+4$

$=\boxed{x^2-4x\sqrt x+6x-4\sqrt x+5}$

(assuming <em>x</em> is not negative)

6 0

3 years ago

The polynomial x^2-18x+81 represents the area(in square feet) of a square courtyard. Write an expression for the perimeter of th

vovangra [49]

Answer:

4x - 36 feet

Step-by-step explanation:

The area A of a square whose sides are s units is given as

A = s * s

Given that the area A = x^2-18x+81, factorizing

A = x^2-9x-9x+81

A= x(x-9)-9(x-9)

A = (x-9)(x-9)

A = (x-9)^2

This means that the size of each side of the square courtyard is x-9 feet long

Recall that the perimeter P of a square whose side is s long is given as

P = 4s hence since the side of the courtyard is x - 9 feet, the perimeter of the courtyard

P = 4(x-9)

= 4x - 36 feet

7 0

3 years ago

What is the volume of the rectangular prism?<br> 1/<br> ft<br> 10 ft<br> ft<br> 14 ft

Llana [10]

Answer:

10 $ft^3$

Step-by-step explanation:

8 0

3 years ago

Jackie had $135 to spend at the mall. She spent 29% of that money on a dress. Jackie spent $___ on the dress. (Make sure to ente

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

100-29= 71

0.71 x $135=$95.85

$135 - $95.85= $39.15

$39.15 left, she spent $95.85

5 0

3 years ago

Multiply (6 - 5)².<br> OA) 11+ 60i<br> B) 36 +25i<br> OC) 11-60i<br> OD) 36-25i

MA_775_DIABLO [31]

Answer:

$\textsf{C)} \quad 11-60i$

Step-by-step explanation:

$\textsf{Multiply }\: (6-5i)^2$

$\implies (6-5i)(6-5i)$

$\implies 6(6-5i)-5i(6-5i)$

$\implies 36-30i-30i+25i^2$

$\implies 36-60i+25i^2$

$\textsf{Remember that }i^2=-1:$

$\implies 36-60i+25(-1)$

$\implies 36-60i-25$

$\implies 36-25-60i$

$\implies 11-60i$

5 0

2 years ago