3 years ago

The number line shows the distance in meters of two divers, A and B, from a shipwreck located at point X:

Mathematics

1 answer:

Vilka [71]3 years ago

6 0

Where is the diagram?

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Find the discriminant and determine the nature of the roots to the quadratic equation

Katen [24]

№17
$x^{2} +6x-7=0 \\ D=6 ^{2} -4*(-7)=36+28=64=8 ^{2} \\ \\ x_{1} = \frac{-6+8}{2} =1 \\ \\ x_{2} = \frac{-6-8}{2} =-7$
Answer: x₁ = 1
   x₂ = - 7

№18
$2 x^{2} -3x+4=3 \\ 2 x^{2} -3x+4-3=0 \\ 2 x^{2} -3x+1=0 \\ \\ D= -3 ^{2} -4*2=9-8=1 \\ \\ x_{1} = \frac{3+1}{2*2} = \frac{4}{4} =1 \\ \\ x_{2} = \frac{3-1}{2*2} = \frac{2}{4} =0.5$
Answer: x₁ = 1
     x₂ = 0,5.

№19
$2 x^{2} -4x-5=0 \\ D=-4 ^{2} -4*2*(-5)=16+40=56 \\ \\ x_{1}= \frac{4+ \sqrt{56} }{2*2} = \frac{4}{4} + \sqrt{ \frac{56}{16} } =1+ \sqrt{3.5} \\ \\ x_{2} = \frac{4- \sqrt{56} }{2*2} = \frac{4}{4} - \sqrt{ \frac{56}{16} } =1- \sqrt{3.5} 
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Answer: x₁ = 1 + √3.5
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3 0

4 years ago

Y-x=4 and x is three times the value of y, what is the value of x+y?

slega [8]

Answer:

x+y=-8

Step-by-step explanation:

y-x=4

x=3y

y-3y=4

x=3y

-2y=4

x=3y

y=4/(-2)

x=3y

y=-2

x=3*(-2)

x=-6, y=-2 then

x+y=-6-2=-8

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3 years ago

A car is traveling at a speed of 75 miles per hour and arrives at its final destination in total of 5.25 hours. What is the dist

GuDViN [60]

Answer:

Step-by-step explanation:

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3 years ago

Can someone help please. Due today.

Bingel [31]

just search it up on the internet

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3 years ago

Find the measure of each angle in the figure

Rus_ich [418]

Answer:

Step-by-step explanation:

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