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3 years ago

Line GH contains points G(–2, 6) and H(5, –3). What is the slope of ?

Mathematics

1 answer:

son4ous [18]3 years ago

3 0

Answer:

The answer is

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

G(–2, 6) and H(5, –3)

The slope is

m = -3 - 6 / 5 -- 2 = - 9 /7

Hope this helps you

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3 years ago

The perimeter of a rectangular garden is 300 yards. The length of the garden is 96 yards more than the width. Find the

Alex

Answer:

width is 27 yards and length is 123 yards

Step-by-step explanation:

Perimeter of a rectangle is 2(L + W).

If length is 96 more than width, then we know L = 96 + W

Since we also know the perimeter, we can put them into an equation and solve for the length and width:

2(L + W) = P

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Plug this back into L = 96 + W to find the length:

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3 years ago

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SpyIntel [72]

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2 years ago

Solve the equation 3x+x²=-7. Does the number of solutions match the information provided by the discriminant? Explain

MA_775_DIABLO [31]

Answer:

$-\frac{3}{2}+\frac{\sqrt{19}i}{2}$ and $-\frac{3}{2}-\frac{\sqrt{19}i}{2}$

Step-by-step explanation:

$3x+x^2=-7\\\Rightarrow x^2+3x+7=0$

Discriminant

$D=b^2-4ac\\\Rightarrow D=3^2-4\times 7\times 1\\\Rightarrow D=-19$

If the discriminant is a negative number then the roots of the equation are imaginary

$x=\frac{-b\pm \sqrtD}{2a}\\\Rightarrow x=\frac{-3\pm \sqrt{-19}}{2\times 1}\\\Rightarrow x=-\frac{3}{2}\pm \frac{\sqrt{19}i}{2}\\\Rightarrow x=-\frac{3}{2}+\frac{\sqrt{19}i}{2}, x=-\frac{3}{2}-\frac{\sqrt{19}i}{2}$

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Answer:

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3 years ago

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