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3 years ago

Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdles

Mathematics

1 answer:

andrew11 [14]3 years ago

4 0

Answer:

w h a t' s a h u r d l e ?

Step-by-step explanation:

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When 5x^2 + 2= 4x is written in standard form, what are the values of a, b, and c

goblinko [34]

The standard form of a quadratic equation is

$ax^{2}+bx+c=0$ ,

where $a$ , $b$ , and $c$ are coefficients. You want to get the given equation into this form. You can accomplish this by putting all the non-zero values on the left side on the equation.

In this case, the given equation is

$5x^{2}+2=4x$

Since $4x$ is on the right side of the equation, we subtract that from both sides. The resulting equation is

$5x^{2}-4x+2=0$

Looking at the standard form equation $ax^{2}+bx+c=0$ , we can see that

$a=5, b=-4, c=0$

7 0

3 years ago

Help me simplify expressions

azamat

Multiply both sides of your equation bye the denominator

5 0

3 years ago

Which fraction is equivalent to 1/2? Use the number line to help answer the question

myrzilka [38]

Answer:

4/8

Step-by-step explanation:

4 0

2 years ago

A parabola can be drawn given a focus of (-5, -4)(−5,−4) and a directrix of y=-6y=−6. Write the equation of the parabola in any

lord [1]

Answer:

$\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

Step-by-step explanation:

Given:

Focus = (-5,-4)
Directrix = -6

To find:

Parabola Equation

Locus of Parabola (Upward/Downward)

$\displaystyle \large{\sqrt{(x-a)^2+(y-b)^2} = |y-c|}$

Where:

(a,b) = focus
c = directrix

Hence:

$\displaystyle \large{\sqrt{(x+5)^2+(y+4)^2}=|y+6|}$

Cancel square root by squaring both sides as we get:

$\displaystyle \large{(x+5)^2+(y+4)^2=(y+6)^2}$

Solve for y-term:

$\displaystyle \large{(x+5)^2=(y+6)^2-(y+4)^2}\\\displaystyle \large{x^2+10x+25=y^2+12y+36-y^2-8y-16}\\\displaystyle \large{x^2+10x+25=4y+20}\\\displaystyle \large{x^2+10x+5=4y}\\\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

4 0

1 year ago

Which of these statements is true?

Bess [88]

D is the correct answer. Every square has 2 pairs of parallel sides.

8 0

3 years ago