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3 years ago

60 points Need help Asap

Mathematics

1 answer:

Anna [14]3 years ago

8 0

Answer:

45 units ^2

Step-by-step explanation:

make sure to divide the triangle and sqaure up when finding the area of this polygon..

hope this helps!!

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WILL GIVE BRAINLIEST! Find k so that (5, k) is equidistant from (–1, 2) and (3, 0).

pochemuha

Answer:

Step-by-step explanation:

So first I created 2 distance forumlas and set them equal to each other

$\sqrt{(5+1)^2+(k-2)^2} =\sqrt{(5-3)^2+(k)^2}$

then I simplified them

$(5+1)^2+(k-2)^2 =(5-3)^2+(k)^2\\$

$36 + k^2 - 4k +4 = k^2 + 4$

$-4k + 36 = 0\\$

$4k = 36$

$k = 9$

when k = 9, the two distances are equal

7 0

3 years ago

Mike discovered that the pool in his backyard is leaking slowly. The pool holds 17,897 gallons of water, and is leaking at a rat

pishuonlain [190]

Answer:

Gallons of water remaining = 16,962 gallons

Step-by-step explanation:

Total capacity of the pool = 17,897 gallons

Rate of leakage per day = 5 gallons

Number of days = 187 days

how many gallons of water will remain in the pool after 187 days?

Gallons of water remaining = Total capacity of the pool - (Rate of leakage per day × Number of days

= 17,897 - (5 × 187)

= 17,897 - 935

= 16,962 gallons

Gallons of water remaining = 16,962 gallons

8 0

2 years ago

Solve 3x2 + 18x + 15 = 0 by completing the square.

kondaur [170]

<span>3x^2 + 18x + 15 = 0
15 + 18x + 3x2 = 0
3(5 + 6x + x2) = 0
</span>3((5 + x)(1 + x)) = 0
5 + x = 0
5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5
x = -5
<span>--------------------------------------------
1 + x = 0 x=-1
-5,-1 </span>

3 0

3 years ago

Simplify the expression -3(x+3)

amm1812

Answer:

−3 − 9

Step-by-step explanation:

6 0

2 years ago

Find the product of the complex numbers. Express your answer in trigonometric form.

Marianna [84]

In order to find the product of two complex numbers their magnitudes are multiplied and their arguments(measure of angles) are added up.

For z₁
Magnitude = 4
Argument = π/3

For z₂
Magnitude = 3
Argument = 2π/5

So, the product of z₁ and z₂ will be:

$z_{1} z_{2} =4*3(cos( \frac{ \pi }{3}+\frac{2 \pi }{5})+isin( \frac{ \pi }{3}+\frac{2 \pi }{5})) \\ \\ 
z_{1} z_{2} =12(cos( \frac{11 \pi }{5}+isin( \frac{11 \pi }{5}))$

6 0

2 years ago