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3 years ago

Write equations for the vertical and horizontal lines passing through the point (8,-9)

Mathematics

1 answer:

Lilit [14]3 years ago

7 0

Answer:

x = 8 and y = - 9

Step-by-step explanation:

The equation of a vertical line is x = c

Where c is the value of the x- coordinates the line passes through

The line passes through (8, - 9) with an x- coordinate of 8, thus

Equation of vertical line is x = 8

The equation of a horizontal line is y = c

Where c is the value of the y- coordinates the line passes through

The line passes through (8, - 9) with y- coordinate - 9, thus

The equation of the horizontal line is y = - 9

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Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

barxatty [35]

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

we have been given with the quadratic equation $x^2-8x-9$

we compare the given quadratic equation with general quadratic equation

general quadratic is $ax^2+bx+c=0$

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

Now, to find the value of x

Formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

Now, substituting the values we will get

$x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1$

And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

$x^2+bx=c$

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3 years ago

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PLEASE HELP QUICKLY how can I accurately solve this equation?

elena55 [62]

Answer:

multiply by the power of ten,

Step-by-step explanation:

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3 years ago

High grade steel consists of 85% iron and 15% magnese. Low grade steel consists of 67% iron and 33% mag ese. NASA orders 500 ton

Mamont248 [21]

Answer:

$361\dfrac{1}{9}$ tons of high steel and $138\dfrac{8}{9}$ tons of low steel

Step-by-step explanation:

Let x be the number of tons of high grade steel and y be the number of tons ow low grade steel needed.

In x tons of high grade steel there are

$0.85x$ tons of iron

$0.15x$ tons of magnese

In y tons of low grade steel there are

$0.67y$ tons of iron

$0.33y$ tons of magnese

NASA orders 500 tons of steel, so

$x+y=500$

and specifies that it must be in the proportion 80% iron and 20% magnese, so

$0.85x+0.67y=500\cdot 0.8\\ \\0.85x+0.67y=400$

From the first equation,

$x=500-y$

Substitute it into the second equation:

$0.85(500-y)+0.67y=400\\ \\425-0.85y+0.67y=400\\ \\-0.18y=-25\\ \\y=\dfrac{2,500}{18}=138\dfrac{8}{9}\ tons\\ \\x=361\dfrac{1}{9}\ tons$

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4 years ago

Solve the inequality -×/2 <4

photoshop1234 [79]

Multiply by -2.
x > -8

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What is the slope and y-intercept of the equation on the graph?

Fynjy0 [20]

The answer is B :)
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