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Marat540 [252]
3 years ago
11

Find x and RS if S is between R and T RS=6x,ST=12,and RT=72

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
6 0
Ah, ok

RST

so RS+ST=RT
6x+12=72
minus 12 both sides
6x=60
divide both sides by 6
x=10


x=10
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larisa86 [58]

Answer:

8

eight by eight is equals to sixty four

3 0
3 years ago
Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.
liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

f(x) = \frac{x^2+4x+3}{x^2-x-2}

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial x^2-x-2

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

(x-2) (x + 1)

We do the same with the numerator

x^2+4x+3

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

(x+3)(x + 1)

Therefore

f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}

Note that \frac{(x+1)}{(x+1)}=1 only if x \neq -1

So since x = -1 is not included in the domain the function has a discontinuity in x = -1

3 0
3 years ago
The volume of the triangular prism is 12.5 m³. The length is 2.5 m and the base is 2 m. What is the width?
Fantom [35]

Answer:

  (4)  5 m

Step-by-step explanation:

You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.

<h3>Volume</h3>

The volume of the prism is given by the formula ...

  V = Bh

where B is the area of the base:

  B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle

Using these formulas together, we have ...

  V = 1/2(2.5 m)(2 m)x

  12.5 m³ = 2.5x m²

Dividing by 2.5 m², we find x to be ...

  (12.5 m³)/(2.5 m²) = x = 5 m

The dimension labeled x has length 5 meters.

6 0
10 months ago
What is 3 × 8000283743729.
Keith_Richards [23]

Dear user,

3 × 8000283743729 = 2.4000851

7 0
3 years ago
Read 2 more answers
PLEASE HELP ME ON THIS ALGEBRA PROBLEM!!!
dexar [7]
<h3><em>y(1)=(-1)3+3x(-1)-(-1)-3</em></h3><h3><em>=-1-3+1-3</em></h3><h3><em>=-6</em></h3><h3><em>y=-6</em></h3><h3><em>x=-1</em></h3>

<em></em>

8 0
3 years ago
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