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3 years ago

10

BRAINLIEST ASAP Martha places a triangle at (5, 2) on a coordinate plane. If she wants to place a square 7 points away, what mig

ht be the coordinates of the square?

1 answer:

Dafna11 [192]3 years ago

8 0

Answer:

the coordinates would be (12,2) Hope it helps :)

Step-by-step explanation:

its just that

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If f(x) varies directly with x and f(x) = 72 when x = 6, find the value of f(x) when x = 3.

yaroslaw [1]

Answer:

36

Step-by-step explanation:

Since f(x) varies directly with x, f(x) can be expressed alternatively as \[f(x) = k * x\] where k is a constant value.

Given that f(x) is 72 when the value of x is 6.

This implies, \[72 = k * 6\]

Simplifying and rearranging the equation to find the value of k:

k = \frac{72}{6}

Hence k = 12

Or, \[f(x) = 12 * x\]

When x = 3, \[f(x) = 12 *3 \]

Or in other words, the value of f(x) when x=3 is 36

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4 years ago

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4 years ago

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Match each complex number with its equivalent expression i^157 i^315 i^102 i^76

ryzh [129]

Answers:

$i^{157} = i\\\\i^{315} = -i\\\\i^{102} = -1\\\\i^{76} = 1\\\\$

=====================================================

Explanation:

By definition, $i = \sqrt{-1}$

Squaring both sides gets us $i^2 = -1$

Then multiply both sides by i to get $i^3 = -i$

Repeat the last step and you should get $i^4 = -i^2 = -(-1) = 1$

---------------

Notice we have this pattern going on:

$i^0 = 1\\\\i^1 = i\\\\i^2 = -1\\\\i^3 = -i\\\\i^4 = 1\\\\$

Once we reach i^4, we start the process over again.

It repeats every 4 terms.

This means we'll divide the exponent over 4 and look at the remainder. We ignore the quotient completely.

157/4 = 39 remainder 1

That remainder 1 is the exponent of the simplified term

$i^{157} = i^1 = i$

---------------

Similarly,

315/4 = 78 remainder 3

So $i^{315} = i^3 = -i$

---------------

102/4 = 25 remainder 2

$i^{102} = i^2 = -1$

----------------

76/4 = 19 remainder 0

$i^{76} = i^0 = 1$

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That kinda look like a roof from fortnite

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3 years ago

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Saturn’s rings span up to about (7.5 · 10-1) of the distance between the Earth and its moons. If Saturn’s rings span up to (2.82

RUDIKE [14]

2.82 × 10^5 = (7.5×10^-1) × Length between the earth and the moon
Length between the earth and the moon = (2.82×10^5)÷(7.5×10^-1) = 376000 = 3.76×10^5
i think this is correct hope it helps.

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4 years ago

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