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MaRussiya [10]
3 years ago
5

The function ƒ(x) = x−−√3 is translated 3 units in the negative y-direction and 8 units in the negative x- direction. Select the

correct equation for the resulting function.

Mathematics
1 answer:
fenix001 [56]3 years ago
8 0

Answer:

f(x)=\sqrt[3]{x}  3~units\: down

f(x)=\sqrt[3]{x} -3 8 \: units \: left

f(x+8)=\sqrt[3]{(x+8)} -3

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

Hope it helps..

Have a great day!!

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In ΔLMN, the measure of ∠N=90°, the measure of ∠M=70°, and NL = 74 feet. Find the length of MN to the nearest tenth of a foot.
Zina [86]

Answer:26.9 feet

Step-by-step explanation:

SOH-CAH-TOA

\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{74}{x}

tanM=

adjacent

opposite

​

=

x

74

​

\tan 70=\frac{74}{x}

tan70=

x

74

​

x\tan 70=74

xtan70=74

Cross multiply.

\frac{x\tan 70}{\tan 70}=\frac{74}{\tan 70}

tan70

xtan70

​

=

tan70

74

​

Divide each side by tan 70.

x=\frac{74}{\tan 70}=26.9338\approx 26.9\text{ feet}

x=

tan70

74

​

=26.9338≈26.9 feet

Type into calculator and roundto the nearest tenth of a foot.

L

M

N

74

26.9

(opposite of ∠M)

(adj. to ∠M)

(hypotenuse)

70°

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