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Phantasy [73]
3 years ago
6

Solve the system of equations algebraically show all of your steps

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0
If y = x^2 + 2x and y = 3x + 20 

<span>Then </span>

<span>x^2 + 2x = 3x + 20 </span>

<span>x^2 - x - 20 = 0 </span>

<span>(x - 5)(x + 4) = 0 </span>

<span>x = 5, - 4 </span>

<span>For x = 5, y = 3(5) + 20 = 35 </span>

<span>For x = - 4, y = 3(-4) + 20 = 8 </span>

<span>(5, 35), (-4, 8)</span>
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Step-by-step explanation:

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4 0
2 years ago
Read 2 more answers
sketch the curve represented by the parametric equations (indicate the orientation of the curve), write the corresponding rectan
pychu [463]

Answer:

Reduced equaton is 5x-3y+\frac{28}{3}=0.

Step-by-step explanation:

Given parametric equation is,

x=3t-5 and y=5t+1

Now, x=3t-5\implies t=\frac{x+5}{3} substitute in second equation we get,

y=\frac{5}{3}(x+5)+1

y=\frac{5}{3}x+\frac{28}{9}

\implies 5x-3y+\frac{28}{3}=0

which is the corresponding rectangular equation after eliinating the parameter.

Now consider,

y=\frac{5}{3}x+\frac{28}{9}

Of which,

Slope : \frac{5}{3}

when,

x=0, y=\frac{28}{9}=3.1

x=1, y=\frac{43}{9}=4.8; x=-1, y=\frac{13}{9}=1.4

x=2, y=\frac{58}{9}=6.4;  x=-2, y=\frac{-2}{9}=-0.2

x=3, y=\frac{73}{9}=8.1; x=-3, y=\frac{-17}{9}=-1.8

x=4, y=\frac{88}{9}=9.8; x=-4, y=\frac{-32}{9}=-3.6

x=5, y=\frac{103}{9}=11.4; x=-5, y=\frac{-47}{9}=-5.2

ans so on. Thus sketching th curve will look like given,

5 0
2 years ago
Please help, as soon as possible...
vodomira [7]

Answer:

1. a) Square

2. c) Rectangle

Step-by-step explanation:

1. If you cut this rectangular prism in way to be PERPENDICULAR to the base, that means you're cutting it straight down, from the top to the bottom, in a vertical line.  The cross-section obtained will be just like an end of the prism, which in this case is a square.  Because it's a regular rectangular prism, no matter where you cut it, as long as it's vertical, perpendicular to the base, you'll get a square due to this particular form.  Technically, the answer could also be a rectangle, since a square is a rectangle.

2.  you cut this rectangular prism in way to be PARALLEL to the base, that means you're cutting it straight, from the front to the back, in an horizontal line. The cross-section obtained will be just like an top of the prism, which in this case is a rectangle.  Because it's a regular rectangular prism, no matter where you cut it, as long as it's an horizontal line, parallel to the base, you'll get a rectangle due to this particular form.

6 0
3 years ago
Simplify Simplify 6 - 23 + (-9 + 5) · 2.
Vlad [161]

Answer:

The answer is −42

7 0
2 years ago
39. Why are -2a and 18a like terms?
Vesnalui [34]

Answer:

they each share the same variable which is raised to the same exponent, 1

Step-by-step explanation:

7 0
2 years ago
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