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3 years ago

11

Which represents a quadratic function?

2 answers:

Shkiper50 [21]3 years ago

8 0

B. x^2 +2x-5 is a square and basically a quadratic function

Lorico [155]3 years ago

6 0

Answer:

B) f (x) = x² + 2x − 5 is quadratic function .

Step-by-step explanation:

Given : Functions .

To find : Which represents a quadratic function.

Solution : We have given functions .

Quadratic function in form of ax² + bx + c = 0 which has degree 2.

Then we can see f (x) = x² + 2x − 5 inform of quadratic function .

Where , a = 1 ,b =2 ,c = -5.

Option D also has degree 2 but its coefficient of x² is 0. so, we will not consider it.

Therefore, B) f (x) = x² + 2x − 5 is quadratic function .

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Which set of transformations would prove triangle GFE ~ triangle GHI?

Flura [38]

Answer:

Dilation of 1/2 and then a reflection over y=2

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2 years ago

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Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form? 5x + 3y = 18 5x – 3y = 30

ddd [48]

$\bf C(\stackrel{x_1}{3}~,~\stackrel{y_1}{-5})\qquad 
D(\stackrel{x_2}{6}~,~\stackrel{y_2}{0})
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slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-(-5)}{6-3}\implies \cfrac{0+5}{6-3}\implies \cfrac{5}{3}
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\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{5}{3}(x-3)\implies y+5=\cfrac{5}{3}(x-3)$

$\bf \stackrel{\textit{multiplying both sides by LCD of 3}}{3(y+5)=3\left[ \cfrac{5}{3}(x-3) \right]}\implies 3y+15=5(x-3)
\\\\\\
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bearing in mind the standard form uses all integers, and the x-variable cannot have a negative coefficient.

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3 years ago

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Rosa climbs a 16-meter tower to ride a straight water slide. After landing in the slash pool, she walks 9 meters back to the bas

erastova [34]

Answer:

The length of slide is 18.36 meters

Step-by-step explanation:

The given scenario forms a right-angled triangle where

The height of tower id perpendicular, the distance between slash pool and base of tower is base and the length of slide will be hypotenuse.

Height of tower = h = 16 meters

Distance between slash pool and base of tower = b = 9 meters

Length of slide = s = ?

As it is a right angled triangle, we can use Pythagoras theorem to find the length of slide

Pythagoras theorem states that:

$(Hypotenuse)^2 = (Base)^2+(Perpendicular)^2\\s^2 = b^2+h^2\\s^2 = (9)^2+(16)^2\\s^2 = 81+256\\s^2 = 337\\s^2 = 18.36\ meters$

Hence,

The length of slide is 18.36 meters

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2 years ago

The lengths of the sides of a triangle are in the extended ratio 7 : 8 :9 . The perimeter of the triangle is 96 cm. What are t

PIT_PIT [208]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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