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3 years ago

PLZZZ NEED HELP!!!!!

Mathematics

2 answers:

ozzi3 years ago

8 0

X = 16 because the ratio is 4:1

sergiy2304 [10]3 years ago

3 0

We can see that the right triangle multiplied by 4 equals the left triangle value. So we multiply 4*4 to get 16 as the side.

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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

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

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3 years ago

Need help homies, no steps needed

VashaNatasha [74]

Answer:

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Step-by-step explanation:

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3 years ago

A furniture store had a chair that cost $33. After a few months the owner took 12 percent off the price. How much is the chair n

zhannawk [14.2K]

Answer:

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Step-by-step explanation:

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4 years ago

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Find the zeros or roots for the quadratic expression 2^2−8−10. Must show all work to receive credit

Sav [38]

Answer:

x = -1,5

Step-by-step explanation:

2x² - 8x - 10

2x² - 10x + 2x - 10

2x(x - 5) + 2(x - 5)

(x - 5)(2x + 2)

x = 5 x = -2/2

x = -1,5

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3 years ago

Find the ranges of these numbers 35 45 30 45 70

serg [7]

Answer:

The range is 40.

Step-by-step explanation:

Range is just the largest number minus the smallest.

70 - 30 = 40

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3 years ago