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GuDViN [60]
2 years ago
7

Solve for x. Please:)

Mathematics
1 answer:
lutik1710 [3]2 years ago
3 0

Answer:

  x = 3

Step-by-step explanation:

The smaller triangle and larger one are similar, so corresponding sides are proportional.

  8/4 = (8 +(x -1))/5

  10 = x +7 . . . . . . . . . multiply by 5 and simplify

  3 = x . . . . . . . . . subtract 7

__

<em>Alternate solution</em>

The short segments are also proportional:

  (x -1)/(5 -4) = 8/4

  x -1 = 2 . . . . simplify

  x = 3 . . . . . . add 1

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For what value of x does (x + 3)^2-5=0
ArbitrLikvidat [17]

Answer:

x = -3±sqrt( 5)

Step-by-step explanation:

(x + 3)^2-5=0

Add 5 to each side

(x + 3)^2-5+5=0+5

(x + 3)^2 = 5

Take the square root of each side

sqrt((x + 3)^2 )=±sqrt( 5)

x+3 = ±sqrt( 5)

Subtract 3 from each side

x+3-3 = -3±sqrt( 5)

x = -3±sqrt( 5)

7 0
4 years ago
Please help me! in need of help due tomorrow!​
julsineya [31]

Answer:

Step-by-step explanation:

(1). A = π r²

A = 4 π

Area of shaded region is \frac{4\pi *260}{360} = \frac{26}{9} \pi or \frac{26\pi }{9}

(2). C = 4 π

In this case, the length of the bigger arc and the area of shaded region happen to be the same.

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3 0
1 year ago
Simplify the equation.
maks197457 [2]

Answer:

Step-by-step explanation:

5(x-3y)+2(4x+y)-(x+y)

5x-15y+8x+2y-x-y

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8 0
3 years ago
Read 2 more answers
Please help!posted picture of question
olchik [2.2K]
Answer:
\frac{x^2 - 5}{4x + 1}, x ≠ -1/4

Explanation:
We are given that:
f (x) = 4x + 1
g(x) = x² - 5

We want to find the value of (g/f)(x). This means that we will simply divide g(x) by f(x) as follows:
( \frac{g}{f} )(x) =  \frac{g(x)}{f(x)} =  \frac{x^2 - 5}{4x + 1}

Now, we should note that any function is undefined if its denominator is equal to zero.
This means that for our current function:
4x + 1 cannot be equal to zero
4x + 1 = 0
4x = -1
x = -1/4
This means that the value of x cannot be -1/4, otherwise, our function would be undefined.

Based on the above, the last option is the correct one.

Hope this helps :)
8 0
3 years ago
To what does the two-source rule refer?
Alla [95]

Step-by-step explanation:

p(A)={Ø,{2}{3},{2,3}

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