All categories

2 years ago

B is between A and C and AB = BC. If AB = 4x and AC = 24, find x.

Mathematics

2 answers:

nikklg [1K]2 years ago

6 0

Answer:

x = 6

Step-by-step explanation:

Because AB = BC and AB = 4x , AC = 24

=> 4x = 24

x =6

Shkiper50 [21]2 years ago

5 0

Answer:

X=3

I hope this helps,

Not the neatest of handwriting though

You might be interested in

The indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Th

Fantom [35]

Answer:

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C$

Step-by-step explanation:

To find:

∫ $6x^5(x^6-2)\,dx$

Solution:

Method of substitution:

Let $x^6-2=t$

Differentiate both sides with respect to $t$

$6x^5\,dx=dt$

[use $(x^n)'=nx^{n-1}$ ]

So,

∫ $6x^5(x^6-2)\,dx$ = ∫ $t\,dt$ = $\frac{t^2}{2}+C_1$ where $C_1$ is a variable.

(Use ∫ $t^n\,dt=\frac{t^{n+1} }{n+1}$ )

Put $t=x^6-2$

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C_1$

Use $(a-b)^2=a^2+b^2-2ab$

So,

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C_1=\frac{1}{2}(x^{12}+4-4x^6)+C_1=\frac{x^{12} }{2}-2x^6+2+C_1=\frac{x^{12} }{2}-2x^6+C$

where $C=2+C_1$

Without using substitution:

∫ $6x^5(x^6-2)\,dx$ = ∫ $6x^{11}-12x^5\,dx$ = $\frac{6x^{12} }{12}-\frac{12x^6}{6}+C=\frac{x^{12} }{2}-2x^6+C$

So, same answer is obtained in both the cases.

7 0

2 years ago

Janye stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which equation relates the to

AlexFokin [52]

Answer: y = x + 4

Step-by-step explanation:

Since the total number of gasoline is given to be "y", with an initial quantity of filled gasoline to be "4" and the quantity of unfilled gasoline to be "x".

Therefore, the summation of the filled and unfilled quantity of gasoline will be "x + 4" which is equal to the total capacity of the tank "y".

7 0

3 years ago

Read 2 more answers

Nick wrote the function p(x) = 17 + 42x – 7x2 in vertex form. His work is below.

Bas_tet [7]

Answer:

Step-by-step explanation:

Step 3

7 0

3 years ago

Read 2 more answers

86 is the same as u multiplied by 206

Gala2k [10]

U would equal 206/86 or 2.39585

6 0

3 years ago

[5 - 3(8/4)] + (5^5/10^2)+(20-6.25)

Step2247 [10]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers