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2 years ago

Y=_x+4 x + 2y = 8 How many solutions dose this linear system have

Mathematics

1 answer:

jeyben [28]2 years ago

6 0

Answer:

X=-1, y=4

Step-by-step explanation:

$y = x + 4 \\ x + 2y = 8 \\ = = = = = = = = = = = = \\ y - x = 4 \\ x + 2y = 8$

by using eliminating property

$3y = 12 \\ y = \frac{12}{3} = 4$

by substitution

X=-1

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Hello again. if someone gives me a hand with this book thickness excercise please thanks

geniusboy [140]

Answer:

Known:

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3 years ago

the distance between two towns on a map is 6cm. the actual distance between 2 towns is 48km what is the scale on the map

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Answer:

1 cm=8 km

Step-by-step explanation:

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4 0

2 years ago

Find the exact values of a) sec of theta b)tan of theta if cos of theta= -4/5 and sin<0

Gre4nikov [31]

Answer:

Using trigonometric ratio:

$\sec \theta = \frac{1}{\cos \theta}$

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

From the given statement:

$\cos \theta = -\frac{4}{5}$ and sin < 0

⇒ $\theta$ lies in the 3rd quadrant.

then;

$\sec \theta = \frac{1}{-\frac{4}{5}} = -\frac{5}{4}$

Using trigonometry identities:

$\sin \theta = \pm \sqrt{1-\cos^2 \theta}$

Substitute the given values we have;

$\sin \theta = \pm\sqrt{1-(\frac{-4}{5})^2 } =\pm\sqrt{1-\frac{16}{25}} =\pm\sqrt{\frac{25-16}{25}} =\pm \sqrt{\frac{9}{25} } = \pm\frac{3}{5}$

Since, sin < 0

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now, find $\tan \theta$ :

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

Substitute the given values we have;

$\tan \theta = \frac{-\frac{3}{5} }{-\frac{4}{5} } = \frac{3}{5}\times \frac{5}{4} = \frac{3}{4}$

Therefore, the exact value of:

(a)

$\sec \theta =-\frac{5}{4}$

(b)

$\tan \theta= \frac{3}{4}$

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3 years ago

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3 years ago

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