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mihalych1998 [28]

2 years ago

11

The best equation to graph from is the point slope form of a line. True or false?

1 answer:

djyliett [7]2 years ago

3 0

Answer:

i say yes

Step-by-step explanation:

this is because it will give you the point to start with and the slope so you will already have all the information to graph

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What is the result of substituting for y in the bottom equation<br> y=x+3<br> y=x^2+2x-4

8_murik_8 [283]

The solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

<em><u>Solution:</u></em>

Given that,

$y = x + 3 ------- eqn 1\\\\y = x^2 + 2x - 4 ----- eqn 2$

<em><u>We have to substitute eqn 1 in eqn 2</u></em>

$x + 3 = x^2 + 2x - 4$

$\mathrm{Switch\:sides}\\\\x^2+2x-4=x+3\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\\\x^2+2x-4-3=x+3-3\\\\\mathrm{Simplify}\\\\x^2+2x-7=x\\\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\\\x^2+2x-7-x=x-x\\\\\mathrm{Simplify}\\\\x^2+x-7=0$

$\mathrm{Solve\:with\:the\:quadratic\:formula}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=1,\:c=-7\\\\x =\frac{-1\pm \sqrt{1^2-4\cdot \:1\left(-7\right)}}{2\cdot \:1}$

$x = \frac{-1 \pm \sqrt{ 1 + 28}}{2}\\\\x = \frac{ -1 \pm \sqrt{29}}{2}$

$x = \frac{ -1 \pm 5.385 }{2}\\\\We\ have\ two\ solutions\\\\x = \frac{ -1 + 5.385 }{2}\\\\x = 2.1925$

$Also\\\\x = \frac{ -1 - 5.385 }{2}\\\\x = -3.1925$

Substitute x = 2.1925 in eqn 1

y = 2.1925 + 3

y = 5.1925

Substitute x = -3.1925 in eqn 1

y = -3.1925 + 3

y = -0.1925

Thus the solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

6 0

2 years ago

Y=x-3 and y=-3x+25 in substitution form

Vlad1618 [11]

(x-3)=-3x+25

Because we know that y=x-3 so we put that in place of y in the equation

8 0

2 years ago

How does the graph of g(x) = x+ 5 compare with the graph of the parent

vlada-n [284]

Answer:

C. The graph of g(x) is shifted 5 units up.

Step-by-step explanation:

The transformation shown shows a vertical translation.

$f(x)=x\pm d\\\\\text{Vertical translation up/down 'd' units.}$

The graph would move f(x) five units up.

Hope this helps.

6 0

2 years ago

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A barbecue grill is a circle with a diameter of 2.2 feet. What is the circumference of the grill (in feet)? (R

Mars2501 [29]

Step-by-step explanation:

circumference =pi × diameter

=(22/7)×2.2

=6.914ft

8 0

2 years ago

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Find the perimeter and area of this circle plz. due today.

Alik [6]

If the diameter is 30 ft then the area of the circle is 706.5 you can approximate it if you want and you will have 707.

5 0

2 years ago

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