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3 years ago

Help me with this please !!

Mathematics

1 answer:

avanturin [10]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the line y = - x

a point (x, y ) → (- y, - x ), thus

T(- 1, 3 ) → T'(- 3, 1 )

U(- 1, 10 ) → U'(- 10, 1 )

V(- 2, 4 ) → V'(- 4, 2 )

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A submarine travels 6.6 km due West from its base and then turns and travels due South for 3.9

geniusboy [140]

Answer:

$7.7$ km

Step-by-step explanation:

The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of $6.6$ km and $3.9$ km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle, $a^{2}+b^{2} =c^{2}$ , where $a$ and $b$ are the lengths of the triangle's legs and $c$ is the length of the triangle's hypotenuse. In this case, we know what $a$ and $b$ are, and we need to solve for c, so after substituting the given values of $a$ and $b$ into $a^{2}+b^{2} =c^{2}$ to solve for c, we get:

$a^{2}+b^{2} =c^{2}$

$6.6^{2} +3.9^{2} =c^{2}$ (Substitute $a=6.6$ and $b=3.9$ into the equation)

$43.56+15.21=c^{2}$ (Evaluate the squares on the LHS)

$58.77=c^{2}$ (Simplify the LHS)

$c^{2}=58.77$ (Symmetric Property of Equality)

$\sqrt{c^{2} } =\sqrt{58.77}$ (Take the square root of both sides of the equation)

$c=7.7,c=-7.7$ (Simplify)

$c=-7.7$ is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately $7.7$ km away from its base. Hope this helps!

7 0

3 years ago

Hello there I need help.

andriy [413]

Answer:

A. 40

Step-by-step explanation:

Q1 - 40

Q2 - 65

Q3 - 80

And 90 is max

So 40 is the correct answer.

5 0

2 years ago

Evaluate 8.1p + 7.9 when p = 6 and r = 7

matrenka [14]

Answer:

56.5

Step-by-step explanation:

8 0

2 years ago

Given the equation 2x = 4y - 3 write another linear equation that would create a system that has the number of solutions listed

Harman [31]

Answer:

A. $2x-4y=\pi$
B. $x=1$

C. $2x-4y=3$

Step-by-step explanation:

A. $2x-4y=\pi$ . Any number could work as long as the coefficients for x and y stays the same. You are basically imposing that the quantity 2x-4y (if you bring 4y to the LHS) is equal to both -3 AND $\pi$ , or any number you like. But yesterday was 3/14 so let's pick a fun number!

B. $x=1$ Or $y=1$ . Or as long as you don't pick the same ratios of x and y you're golden. But x=1 is the easiest that comes to mind

C. $2x-4y=3$ . To get infinitely many solutions you just have to rewrite the equation again. Maybe move things around if you prefer, or multiply everything by a number you lile.

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2 years ago

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yanalaym [24]

Answer:

tough question guy needed more points to answer

Step-by-step explanation:

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3 0

2 years ago