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andrew11 [14]
3 years ago
15

How does the slope formula help you classify figures

Mathematics
1 answer:
Tomtit [17]3 years ago
8 0

Using the distance formula, you can determine the lengths of the sides of the shape.  This will help determine if triangles are equilateral, isosceles or scalene; or if quadrilaterals are squares, rectangles, rhombi, or isosceles trapezoids; or if other polygons are regular polygons.  The slope formula will tell help you determine if two sides are parallel.  In a quadrilateral, this will help you determine if the figure is a parallelogram or a trapezoid.


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In f(x) = 2x2 − 8x − 10, the y-intercept is ? at ? and the x-intercepts are (-1, 0) and ? .
IgorLugansk [536]
<h2>1.  y-intercept</h2>

\boxed{(0,-10)}

The quadratic function f(x)=2x^22-8x-10 represents a parabola. In fact, the graph of a quadratic function is a special type of U-shaped curve called a parabola. To find the y intercept, we set x=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ x=0 \rightarrow f(0)=-10 \\ \\ Then \ y-intercept: \\ \\ (0,-10)

<h2>2.  x-intercepts</h2>

\boxed{(-1,0) \ and \ (5,0)}

To find the other x-intercept, we must set y=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ y=0 \rightarrow 2x^2-8x-10=0 \\ \\ Using \ the \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \therefore x=\frac{-(-8) \pm \sqrt{(-b)^2-4(2)(-10)}}{2(2)} \\ \\ \therefore x_{1}=-1 \ and \ x_{2}=5

Therefore, the other x-intercept is (5,0). You can see both the y-intercept and the x-intercepts in the figure below.

8 0
3 years ago
If the complement of an angle is 40 less than its supplement, find the angle.
zhuklara [117]
The 2 angles in a complement would be (in degrees) 65 and 25

5 0
3 years ago
Read 2 more answers
How to solve the problem
777dan777 [17]
Hope this helps.....

4 0
3 years ago
...................
Zinaida [17]

Answer:

easey, sub them

(x,y)

see if true

(0,1), 2(0)+1>-4, 1>-4, true

(4,-12), 2(4)+-12>-4, 8-12>-4, -4>-4, false

(5,-12), 2(5)+-12>-4, 10-12<-4, -2>-4, true

(-1,-1), 2(-1)+-1>-4, -2-1>-4, -3>-4, true

(-3,0), 2(-3)+0>-4, -6>-4, false

answers are

(0,1)

(5,-12)

(-1,-1)

Hopefully that helped you a little bit :)

6 0
3 years ago
Which graph represents the function f(x) = 1/3|x|?
Gnom [1K]
Seeing from the graph I've provided above, the correct answer would be D, the last one.

3 0
3 years ago
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