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4 years ago

Which is the graph of a quadratic equation that has a negative discriminant?

Mathematics

1 answer:

luda_lava [24]4 years ago

5 0

Answer:

The first graph.

Step-by-step explanation:

When there is a negative discriminant, we call this "no solution" or "no real solution" because there are no x-intercepts. In the first graph, there are no x-intercepts.

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3 years ago

I need help! (HAPPY MLK DAY!!!)

olga2289 [7]

The slope and length of the given sides of the quadrilateral can be

found by using the coordinates of the vertices.

Correct responses:

$Slope \ of \ \overline{IJ} = \underline{-\dfrac{7}{6} }$ , Length of $\overline{IJ}$ = $\underline{\sqrt{85} }$

$Slope \ of \ \overline{JK} = \underline {-\dfrac{2}{9}}$ , Length of $\overline{JK}$ = $\underline{\sqrt{85} }$

$Slope \ of \ \overline{KL} = \underline{-\dfrac{7}{6} }$ , Length of $\overline{KL}$ = $\underline{\sqrt{85}}$

$Slope \ of \ \overline{LI} = \underline{ -\dfrac{2}{9} }$ , Length of $\overline{LI}$ = $\underline{\sqrt{85} }$

<h3>Methods used to find the slope and length of a line</h3>

The given coordinates of the vertices are;

K(-7, 0), J(2, -2), I(8, -9), L(-1, -7)

$Slope = \mathbf{\dfrac{y_2 - y_1}{x_2 - x_1}}$

$Length \ of \ line = \mathbf{ \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}$

Therefore;

$Slope \ of \ \mathbf{\overline{IJ}} = \dfrac{-2 - (-9)}{2 - 8} = \dfrac{7}{-6} = \underline{ -\dfrac{7}{6}}$

$Length \ of \ \mathbf{\overline{IJ}} = \sqrt{(2 - 8)^2 + (-2 - (-9))^2} = \underline{\sqrt{85}}$

$Slope \ of \ \mathbf{\overline{JK}} = \dfrac{0 - (-2)}{-7 - 2} = \dfrac{2}{-9} = \underline{-\dfrac{2}{9}}$

$Length \ of \ \mathbf{\overline{JK}} = \sqrt{(-7 - 2)^2 + (0 - (-2))^2} = \underline{ \sqrt{85}}$

$Slope \ of \ \mathbf{\overline{KL}} = \dfrac{0 - (-7)}{-7 - (-1)} = \dfrac{7}{-6} = \underline{ -\dfrac{7}{6}}$

$Length \ of \ \mathbf{\overline{KL} }= \sqrt{(-7 - (-1))^2 + (0 - (-7))^2} =\underline{ \sqrt{85}}$

$Slope \ of \ \mathbf{\overline{LI}} = \dfrac{(-9 - (-7))}{(8 - (-1))} = \dfrac{-2}{9} = \underline{-\dfrac{2}{9}}$

$Length \ of \ \mathbf{\overline{LI}} = \sqrt{(8 - (-1))^2 + (-9 - (-7))^2} = \underline{\sqrt{85}}$

Learn more about finding the slope and length of a line here:

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3 years ago

The square pyramid shown below has a slant height of 171717 units and a vertical height of 151515 units.

guajiro [1.7K]

Answer:

The answer is 16.

6 0

3 years ago

Find the product and express the answer in lowest term. <br><br> (Lowest term is simplify)

iVinArrow [24]

Hi there!

• 2 $\dfrac {2}{5}$ × $\dfrac {8}{9}$ = $\dfrac {12}{5}$ × $\dfrac {8}{9}$ = $\dfrac {4}{5}$ × $\dfrac {8}{3}$ = $\dfrac {32}{15}$

• $\dfrac {5}{9}$ × 3 $\dfrac {3}{5}$ = $\dfrac {5}{9}$ × $\dfrac {18}{5}$ = 2

• 5 $\dfrac {3}{8}$ × 1 $\dfrac {3}{5}$ = $\dfrac {43}{8}$ × $\dfrac {8}{5}$ = $\dfrac {43}{5}$

• 8 × 1 $\dfrac {5}{12}$ = 8 × $\dfrac {17}{12}$ = 2 × $\dfrac {17}{3}$ = $\dfrac {34}{3}$

• 9 $\dfrac {1}{2}$ × 1 $\dfrac {1}{5}$ = $\dfrac {19}{3}$ × $\dfrac {6}{5}$ = 19 × $\dfrac {3}{5}$ = $\dfrac {57}{5}$

~ Hope it helps!

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3 years ago

2(1 + 4)2 x (9-6)<br> 3<br><br><br><br> Answer please

victus00 [196]

2(1+4)2 x (9-6)3

4(5) x 3(3)

20 x 9

180

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2 years ago