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jek_recluse [69]
3 years ago
10

Solve for X Solving similar triangles

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0

Answer:

x=16

Step-by-step explanation:

We can use ratios to solve

8         11

---- = -----------

x         6+x

Using cross products

8(6+x) = 11x

Distribute

48 +8x = 11x

Subtract 8x from each side

48 = 11x-8x

48 = 3x

Divide by 3

48/3 = 3x/3

16=x

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Express the sum in the simplest form.
olga nikolaevna [1]
The answer would be the third one because you cannot change the denominator and you can only add the numerators
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3 years ago
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During your cycling trip, you and your friends often stayed in hostels. The prices of these are listed below.
kiruha [24]

Answer:

  • a) NTRD standard price = $26.30
  • b) range: $11.20 to $33.00, a range of $21.80

Step-by-step explanation:

a) The average is the sum divided by the number of contributors. Let n represent the standard price at Night-Time Rest Days. Then ...

... ($22.45 +18.55 +24.50 +11.20 +n)/5 = $20.60

... 76.70 + n = 103.00 . . . . multiply by 5 and collect terms

... n = $26.30 . . . . standard price at NTRD

b) The lowest standard price is $11.20. The highest breakfast price is $33.00. The range is the difference between these ...

... $33.00 -11.20 = $21.80 . . . . range in cost for a single night

7 0
3 years ago
Find the slope of the line that passes through (6, 3) and (3, 2).
hjlf

Answer:

1/3

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

m = (2 - 3)/(3 - 6) = (-1)/(-3) = 1/3

8 0
3 years ago
Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by
elena-14-01-66 [18.8K]

If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate x^4.

We have

\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h

Expand the numerator using the binomial theorem, then simplify and compute the limit.

\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}

In general, the derivative of a power function f(x) = x^n is \frac{df}{dx} = nx^{n-1}. (This is the aptly-named "power rule" for differentiation.)

3 0
2 years ago
What is the slope intercept form of -1/2 and 1, -1/2 being the slope??
nevsk [136]
The slope-intercept form of the equation of a straight line is y=mx+b, where m is the slope and b is the y-coordinate of the y-intercept.

If the given slope is -1/2, then this equation becomes y = (-1/2)x + b.

You do not say that b=1.

But if we let b=1, then the equation becomes y = (-1/2)x + 1.


7 0
3 years ago
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