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3 years ago

What is the discriminant 3g^2+10= -15g

1 answer:

7 0

$\bf 3g^2+10=-15g\implies 3g^2+15g+10=0
\\\\\\
\begin{array}{llcccll}
& 3g^2& +15g& +10\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\\\\\\
discriminant\implies b^2-4ac\implies 15^2-4(3)(10)$

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What is the point if of origin in a number line

Stella [2.4K]

Zero or 0 is the origin

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4 years ago

X2 - 8x + 15 = 0 quadratic formula

ivanzaharov [21]

The quadratic formula is x=(-b+-sqrt(b^2-4(a)(c)))/2a

Using the quadratic formula, we get:

x=(-(-8)+-sqrt((-8)^2-4(15)(1)))/2(1)

x=(8+-sqrt(64-60))/2

x=(8+-sqrt(4))/2

x=(8+-2)/2

x=10/2 and x=6/2

x=5 and x=3

We could do it way faster by completing the square:

x^2-8x+15=0

(x-5)(x-3)=0

x=5 and x=3

Hope both methods make sense! BTW, the +- thing means add or subtract

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3 years ago

The circumference of a circle is 62.8 centimeters. What is the circle's radius?

Kobotan [32]

Hello!

To solve this exercise, we must use the formula below:

$\mathrm{C=2\cdot\pi\cdot r}$

C = 62.8cm
π = 3.14
r = ?

Knowing these values, let's replace them in the formula to obtain r:

$\mathrm{62.8=2\cdot\ 3.14\cdot r}\\\mathrm{62.8=6.28r}\\\mathrm{6.28r=62.8}\\\\\mathrm{r=\dfrac{62.8}{6.28}}\\\\\boxed{\mathrm{r=10}}$

So, the radius of this circle is 10cm.

Hope this helps!

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2 years ago

Helwp please thank uuu!

Minchanka [31]

Step-by-step explanation:

<h3>Given,</h3>

GRAM is a parallelogram
m<GMA = 66°
m<GRP = 32°
m<PAM = 41°

<h3>Solutions:</h3>

i) Since,

Angles on the same side of a transversal in a parallelogram, there sum is 180° so,

<RGM + <GMA = 180°

=> <RGM = 180° - <GMA

=> <RGM = 180° - 66°

=> <RGM = 114° (Ans)

ii) Since,

Opposite angles of a diagonal as a transversal (here RM) are equal so,

<GRP = <PMA = 32°

As we have <GMA = 66° so,

=> <GMP = <GMA - <PMA

= 66° - 32°

=> <GMP = 34° (Ans)

iii) Since,

Opposite angles of a parallelogram are equal so,

<RGM = <RAM = 114°

As we have <PAM = 41° so,

=> <GAR = <RAM - <PAM

= 114° - 41°

=> <GAR = 73° (Ans)

iv) Since,

We got <PMA = 32° and <PAM = 41°, so by angle sum property of a triangle PMA,

=> <MPA = 180° - 32° - 41°

=> <MPA = 107° (Ans)

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2 years ago

PLEASE HELP ITS URGENT!!

Lemur [1.5K]

Answer:

answer is D from what I got

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3 years ago