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earnstyle [38]
3 years ago
8

Please help answer this question it would help if multiple people answered so I could confirm a correct answer thank you

Mathematics
1 answer:
evablogger [386]3 years ago
4 0

Answer:

53.33

Step-by-step explanation:

finding area of ΔPAM

using similar triangles

\frac{4}{x}= \frac{12}{4}

16 = 12x; x = \frac{4}{3}

ΔPAM = 4/3 * 4 * 1/2 = 16/6 = 8/3

ΔPAL = 4 * 12 * 1/2 = 24

24 + 8/3 = 80/3 (using fraction form for now, will round later)

since there are two ΔPLM (ΔLMU has same area since they are congruent)

we can multiply 80/3 by 2

80/3 * 2  = 160/3 = 53.33

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Determine the values of k for which the equation has no solution
Naddik [55]

To solve this, we would need to figure out the values of k for which an absolute value is negative. From basics, you should know that an absolute value is always greater than or equal to 0.

If we rearrange this equation a little bit, we get,

|2x+7|\leq 5+k

So 5+k <em>cannot </em>be negative. So,

5+k\geq 0\\k\geq -5

For this to <em>have </em>a solution, k needs to be greater than or equal to -5.

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3 years ago
Solve for x in the equation X^2 - 8X + 41= 0
BaLLatris [955]

Answer:

The equation has two solutions for x:

<u>x₁ = (8 + 10i)/2</u>

<u>x₂ = (8 - 10i)/2</u>

Step-by-step explanation:

Let's use the quadratic formula for solving for x in the equation:

X^2 - 8X + 41= 0

x² - 8x + 41 = 0

Let's recall that the quadratic formula is:

x = -b +/- (√b² - 4ac)/2a

Replacing with the real values, we have:

x = 8 +/-  (√-8² - 4 * 1 * 41)/2 * 1

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x = 8 +/-  (√-100)/2

x = 8 +/-  (√-1 *100)/2

Let's recall that √-1 = i

x = 8 +/- 10i/2

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<u>x₂ = (8 - 10i)/2</u>

8 0
3 years ago
Yeah i dont understand this-
Katyanochek1 [597]
You know each side is 9 meters long, meaning it’s a square. To find perimeter, add up all the sides aka. 9+9+9+9=36. To find the area, multiply one side by the other aka. 9x9 = 81.
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