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4 years ago

What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit?

Mathematics

1 answer:

seraphim [82]4 years ago

3 0

21.6 units

Calculate the length of the 2 inclined sides using the distance formula

d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, 4 )

d = √(3 + 3 )² + (4 - 3)² = √(36 + 1 ) = √37

repeat for (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, - 3 )

d = √(3 + 3 )² + (- 3 - 3 )² = √(36 + 36 ) = √72

the vertical side has a length of 7 units

perimeter = √37 + √72 + 7 = 21.6 ( nearest tenth of a unit )

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Step by step for 7,9, 11. EVEN IF U CANT DO ALL, u can help with 1 or 2. Ill mark brainly.

KATRIN_1 [288]

Answer:

7) $4 \ log_3(x) - 4 \ log_3(y)$

9) $5log_4(7) - 5log_4(12)$

11) $5log_5 \ (x) - log_5 \ (y)$

Step-by-step explanation:

$log_3 (\frac{x}{y})^{4}$

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Use Logarithm of a Quotient which states

$log_b \frac{M}{N} = log_b M-log_bN$

And also use Logarithm of a Power which states

$log_b\ M^{n} = n\log_bM$

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So using these two properties,

7. $4 \ log_3(x) - 4 \ log_3(y)$

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For #9, use the same logarithm propertied

$log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)$

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#11 is also the same concept

$log_5\ \frac{x^5}{y} = 5log_5 \ (x) - log_5 \ (y)$

It is not - 5 log5(y) since only x is to the power of 5 not y

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Hope this is what you were looking for and helps you! Have a nice day/night :)

4 0

3 years ago

Justin's boat travels 175 km downstream in 5 hours and it travels 189 km upstream in 7 hours. Find the speed of the boat in stil

Marta_Voda [28]

Answer:

(V + W) * 5 = 175 boat traveling downstream

(V - W) * 7 = 189 boat traveling upstream

V + W = 35

V - W = 27

2 V = 62

V = 31 = speed of boat

2 W = 8

W = 4 speed of water

Upstream 7 * (31 - 4) = 189

Downstream 5 * (31 + 4) = 175

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3 years ago

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Advocard [28]

Step-by-step explanation:

1/2(4y+6)=4-2(y-6)/3= -2

step by step explaining

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then add 1 to it to get -2 so the answer is -2

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3 years ago

3х+2 / 4 - 2x+1 / 3= 5

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Answer:

X= 25/6

Step-by-step explanation:

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3 years ago

19−4c=17 Solve the equation

Anuta_ua [19.1K]

Step-by-step explanation:

19-4c=17

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therefore, c=1/2

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3 years ago