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2 years ago

Seven over nine to the power of two

Mathematics

1 answer:

anyanavicka [17]2 years ago

3 0

Answer:0.08

Step-by-step explanation:

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Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

2 years ago

A circle with center (1, 2) passes through the point (0, 6). what is the equation of the circle

Nesterboy [21]

Answer:

1,12 is your answer 1, 2x6-12

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A basket contains 20 green apples and 30 red apples. If a piece of fruit is selected at random from the basket, what is the prob

Dmitrij [34]

Answer:

40%

Step-by-step explanation:

20/50 is the amount of apples that are green/not red. 20÷50=0.4, which is equal to 40%

4 0

2 years ago

Item 4

olga nikolaevna [1]

Answer:

Step-by-step explanation:

5 0

2 years ago

62. Height Kirsten places her surveyor's telescope on the top of

Solnce55 [7]

Answer:

21 feet

Step-by-step explanation:

Given :

Height of the tripod above the ground = 5 ft

Elevation = 8°

Distance of the tree from the tripod = 120 ft

Therefore from the figure, we can find the height of the tress as:

$\tan 8 ^\circ = \frac{BC}{AB}$

$0.1405 = \frac{BC}{120}$

∴ BC ≈ 16

Therefore, CE = BC+BE

= 16 + 5

= 21

Therefore the height of the tree is 21 feet.

4 0

2 years ago