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3 years ago

Write the quadratic equation whose roots are 4 and 5, and whose leading coefficient is 4.

Mathematics

1 answer:

Umnica [9.8K]3 years ago

3 0

Answer:

Answer: 4x² - 9x + 20 

Step-by-step explanation:

• General quadratic equation:

${ \rm{ {x}^{2} - (sum \: of \: roots)x + (product \: of \: roots) }}$

• sum of roots → 4 + 5 = 9

• product of roots → 4 × 5 = 20

• substitute:

${ \boxed{ \rm{4 {x}^{2} - 9x + 20 }}}$

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For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the y-axis? Circle

zaharov [31]

Answer:

a) Not parallel to y-axis

b) Not parallel to y-axis

c) Parallel to y-axis

Step-by-step explanation:

The best way to check whether a line passing through two points is parlle to y-axis is by plotting them on graph.

The equation of line: $(y-y_1) = \frac{y_2 - y_1}{x_2 - x_1}(x-x_1)$

a) The line joining the points (4,12) and ( 6,12) is not parallel to y-axis.

It is parallel to x-axis. Another two points that can lie on this line are : (5,12) and ( $\frac{9}{2}$ ,12).

b) The line joining the points $(\frac{3}{5}, \frac{13}{5}), (\frac{1}{5} ,\frac{8}{5})$ is not parallel to y-axis.

Equation of line: $5y - 7.5x = 5.5$

Another points that could be lie on this line are (0.6,2) and (0.25,1.475)

c) The line joining the points $(0.8, 1.9), (0.8,2.3)$ is parallel to y-axis because points have the same x-coordinate.

Another points that could be lie on this line are (0.8,2) and (0.8,2.1)

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4 years ago

Eight more than four times a number is -12

JulsSmile [24]

-12 = 4x + 8, with x representing the number
Minus eight from both sides
-20 = 4x
Divide both sides by four
x = -5

6 0

3 years ago

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I’ll mark brainly answer pls

Schach [20]

Answer:

x = 8 inches

Step-by-step explanation:

The following is the formula for the area of a kite.

$A = \frac{xy}{2}$

We plug in out known values.

A = 60

y = 15

$60 = \frac{x(15)}{2}$

Now we solve for x!

$120 = x15$

$x = 8$

Hope this helped! :)

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3 years ago

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artcher [175]

Answer:

120 g

Step-by-step explanation:

A salt solution contains 10% salt and weights 80g.

Salt content of the solution is:

80*0.1 = 8 g

4% solution has 8 g salt, total solution is:

0.04x = 8
x = 8/0.04 = 200 g

Water to be added:

200 - 80 = 120 g

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3 years ago

A horse is 17 hands tall at the hand equals 4 inches how tall is the horse in inches

Lilit [14]

<h3>68 inches</h3>

Because we know how large each hand is, we can multiply the number of hands by the amount of inches each one represents to find the total number of inches.

17 * 4 = 68

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3 years ago

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