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Katen [24]
3 years ago
10

Solve the system of equations.

Mathematics
1 answer:
irinina [24]3 years ago
8 0

Answer:

x=0 y=4

Step-by-step explanation:

12x−5y=−20

y=x+4

substitute y in the first equation with x+4 (the second equation gives you the value of y straight away)

12x-5*(x+4)=-20

12x-5x-20=-20

7x=0

x=0

use this value of x in the second equation

y=0 + 4 = 4

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Find side lengths C and H
Nuetrik [128]

Answer:

\displaystyle c=\frac{2\sqrt{3}}{3}\\\\\displaystyle h=7\sqrt{2}\\

Step-by-step explanation:

<u>Right Triangles</u>

A right triangle can be identified by the fact it has an internal angle of 90°. In a right triangle, the trigonometric ratios stand.

Let's consider the triangle to the left.  We need to calculate side c, one of the legs of the triangle. We can use the angle adjacent to it (60°) or the angle opposite to it (30°) with the appropriate trigonometric ratio.

We'll use the adjacent angle, and

\displaystyle tan60^o=\frac{2}{c}

Solving for c

\displaystyle c=\frac{2}{tan60^o}=\frac{2}{\sqrt{3}}

Rationalizing

\displaystyle c=\frac{2}{\sqrt{3}}\cdot \frac{\sqrt{3}}{\sqrt{3}}=\frac{2\sqrt{3}}{3}

Now for the triangle to the right. The side h is the hypotenuse. Again, any of the two angles can be used (though they are equal, for it's an isosceles triangle). For any of them it is true that

\displaystyle sin45^o=\frac{7}{h}

Solving for h

\displaystyle h=\frac{7}{sin45^o}=\frac{7}{\frac{\sqrt{2}}{2}}=\frac{14}{\sqrt{2}}

Rationalizing

\displaystyle h=\frac{14}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}=\frac{14\sqrt{2}}{2}=7\sqrt{2}

3 0
3 years ago
Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement bes
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Answer:

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Step-by-step explanation:

3 0
2 years ago
Can anybody help me with this?​
valina [46]

Answer:

a) 3.6 × 10²

Time = distance / speed

So time = 1.08 × 10⁸ / 3 × 10⁸

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= 1.08 × 10³ / 3

= 0.36 × 10³

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5 0
3 years ago
NEED HELP FAST<br><br> y=−1/3x+1
fgiga [73]

\\ \sf\longmapsto y=\dfrac{-1}{3}x+1

Here let's compare with slope intercept form

\\ \sf\longmapsto y=mx+b

We get

  • Slope=m=-1/3
  • y-intercept=b=1
4 0
3 years ago
Read 2 more answers
Is it a polynomial?
masya89 [10]

Answer:

It is a polynomial

Step-by-step explanation:

The given expression \boxed{represents} a polynomial.

Type: monomial or cubic

Degree: 3

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2 years ago
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