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3 years ago

Who can solve |x-4| = 21

Mathematics

2 answers:

LenKa [72]3 years ago

5 0

Answer:

|x| = 25

Step-by-step explanation:

Original Equation:

|x - 4| = 21

Just add 4 to both sides

|x| = 25

Hope this helped :)

MariettaO [177]3 years ago

3 0

Answer:

the answer is 25 or -17

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Find the imaginary and real parts of

Mariulka [41]

Answer:

$12 \\ - \\ 8 \\ \div 2389 \times 24 + 85 \\ - 63 \\ \times {89}^{2 5} \div \\ |896| - 92 \\ = \\ (7821yx) \\ \div 3698 \\ = 0$

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3 years ago

Find the area bounded by the given curves: <br> y=2x−x2,y=2x−4

Andrej [43]

Answer:

$A = [\frac{32}{3}]$

Step-by-step explanation:

Given

$y_1 = 2x - x^2$

$y_2 = 2x - 4$

Required

Determine the area bounded by the curves

First, we need to determine their points of intersection

$2x - x^2 = 2x - 4$

Subtract 2x from both sides

$-x^2 = -4$

Multiply through by -1

$x^2 = 4$

Take square root of both sides

$x = 2$ or $x = -2$

This Area is then calculated as thus

$A = \int\limits^a_b {[y_1 - y_2]} \, dx$

<em>Where a = 2 and b = -2</em>

Substitute values for $y_1$ and $y_2$

$A = \int\limits^a_b {(2x - x^2) - (2x - 4)} \, dx$

Open Brackets

$A = \int\limits^a_b {2x - x^2 - 2x + 4} \, dx$

Collect Like Terms

$A = \int\limits^a_b {2x - 2x- x^2 + 4} \, dx$

$A = \int\limits^a_b {- x^2 + 4} \, dx$

Integrate

$A = [-\frac{x^{3}}{3} +4x](2,-2)$

$A = [-\frac{2^{3}}{3} +4(2)] - [-\frac{-2^{3}}{3} +4(-2)]$

$A = [-\frac{8}{3} +8] - [-\frac{-8}{3} -8]$

$A = [\frac{-8+ 24}{3}] - [\frac{8}{3} -8]$

$A = [\frac{-8+ 24}{3}] - [\frac{8-24}{3}]$

$A = [\frac{16}{3}] - [\frac{-16}{3}]$

$A = [\frac{16}{3}] + [\frac{16}{3}]$

$A = [\frac{16 + 16}{3}]$

$A = [\frac{32}{3}]$

Hence, the Area is:

$A = [\frac{32}{3}]$

7 0

4 years ago

HELP PLEASE !!!!!!!!!!

Mrrafil [7]

Answer:

m < 2 = 38°

Step-by-step explanation:

The exterior angle with the measure of < 38° corresponds to m < 2 (as they are corresponding angles that lie on the same side of the transversal). Therefore, m < 2 = 38°.

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3 years ago

In the following diagram, points C, A, and B are collinear.

Eva8 [605]

Step-by-step explanation:

Since the points are collinear, the sum of CA and AB will be CB.

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3 years ago

A fertilizer covers 3 4 square foot in 1 2 hour. The unit rate is square feet per hour.

Alenkasestr [34]

Answer:

$2\frac{5}{6}$ square foot per hour

Step-by-step explanation:

The total area covered = 34 square foot

Time taken = 12 hours

This implies that it takes 12 hours to cover 34 square foot.

Using proportionality,

12 hours ---------------------------------------> 34 square foot

Dividing both sides by 12

$\frac{12}{12} hours$ ---------------------------> $\frac{34}{12} square foot$

1 hour ---------------------------------------> $2\frac{5}{6}$ square foot per hour

The unit rate in square feet per hour is $2\frac{5}{6}$ square foot per hour

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3 years ago