Find the equation of the line that passes through the points (-800,200)and(-400,300).

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Answer 1

Answer: $(-800,200), \ \ \ \(-400,300) \n \n first \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \n \n m= (y-y_(1))/(x-x_(1) ) \n \nm=(200-300 )/(-800+400) = (-100)/(-400)=(1)/(4) \n \nNow \ use \ y = mx + b \ with \ either \ point \ to \ find \ b, \ the \ y-intercept \ : \n \n y=mx+b \n \n200= (1)/(4) \cdot(-800)+b\n \n200=-200 +b \n \nb=200+200=400 \n \n y= (1)/(4)x+400 \ is \ the \ answer$

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Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary.

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To solve a quadratic equation, we use the quadratic formula which is expressed as:

x1 = [-b + √(b²-4ac)] / 2a]
x2 = [-b - √(b²-4ac)] / 2a]

These formulas are used to solve for the values of the roots of the equation given. From the equation,

a = 1
b = -5
c = -4

Substituting the values, we have:

x1 = 5.70
x2 = -0.70

Therefore, the negative real number is -0.70.

The value -0.07 is the negative real number in the quadratic equation 0 = x² – 5x – 4

What is a quadratic equation ?

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

$\rm x = (-b \pm√(b^2-4ac))/(2a)$

We have a quadratic equation;

0 = x² – 5x – 4 or

x² – 5x – 4 = 0

Here a = 1, b = -5, and c = -4

$\rm x = (-(-5) \pm√(-5^2-4(1)(-4)))/(2(1))$

$\rm x = (5 \pm√(41))/(2)$

After simplification:

x = 5.70 or x = -0.70

The value x = -0.70 is the negative real number.

Thus, the value -0.07 is the negative real number in the quadratic equation 0 = x² – 5x – 4

Learn more about quadratic equations here:

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Escreva no caderno dois exemplos de números reais que obedecem a cada uma das condições A) números irracionais maiores que 2,5 e menores que 3.
B) números racionais maiores que -7/8 e menores que -3/4

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A números irracionais maiores que 3,5 é menores que 3

Geometry would not be used to check a foundation during construction.True false

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False geometry would be used to check a foundation during construction

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The statement Geometry would not be used to check a foundation during construction is false

Contemporary American building bricks are rectangular blocks with the standard dimensions of about 5.7 cm by 9.5 cm by 20.3 cm.What is the volume to the nearest tenth of a unit.