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3 years ago

If x = -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the

Mathematics

1 answer:

klasskru [66]3 years ago

5 0

Answer:

The discriminant is 0

Step-by-step explanation:

If b² - 4ac = 0 then the roots are real and equal

Since there is only one x- intercept then this condition applies

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What are the coordinates of point B in the diagram?

Monica [59]

The correct answer would be (4,-5)

4 0

3 years ago

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Evaluate the expression n ÷ 5 for n = 3.2. A. 0.064 B. 0.604 C. 0.64 D. 6.4

Licemer1 [7]

Answer:

n/5

substitution for n = 3.2

3.2/5

0.64

3 0

2 years ago

Find the real solution(s) by solving for x (round any decimals to the nearest 100th); 5x = 320

baherus [9]

Answer:

x=64

Step-by-step explanation:

5x = 320

Divide each side by 5

5x/5 = 320/5

x=64

6 0

3 years ago

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A cylinder has a height of 14 yards and a radius of 9 yards. What is its volume? Use ≈ 3.14 and round your answer to the neare

sweet [91]

Answer:

3562.57 Yards (no rounding needed)

Step-by-step explanation:

5 0

3 years ago

Find the coordinates of the point 7/10 of the way from A to B. a=(-3,-6) b=(12,4)

Artemon [7]

Answer:

The coordinates of $M$ are $x = \frac{15}{2}$ and $y = 1$ .

Step-by-step explanation:

Let be $A = (-3,-6)$ and $B = (12, 4)$ endpoints of segment AB and $M$ a point located 7/10 the way from A to B. Vectorially, we get this formula:

$\overrightarrow {AM} = \frac{7}{10}\cdot \overrightarrow {AB}$

$\vec M - \vec A = \frac{7}{10}\cdot (\vec B - \vec A)$

By Linear Algebra we get the location of $M$ :

$\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)$

$\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A$

$\vec M = \frac{3}{10}\cdot \vec A + \frac{7}{10}\cdot \vec B$

If we know that $\vec A = (-3,-6)$ and $\vec B = (12, 4)$ , then:

$\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)$

$\vec M = \left(-\frac{9}{10},-\frac{9}{5} \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)$

$\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5} \right)$

$\vec M = \left(\frac{15}{2} ,1\right)$

The coordinates of $M$ are $x = \frac{15}{2}$ and $y = 1$ .

6 0

3 years ago