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3 years ago

How to solve a quadratic equation that does not factor?

1 answer:

7 0

Use the formula or complete the square.
The zeroes of the quadratic can be real and rational; real and irrational; complex conjugates.
If the quadratic is ax²+bx+c, x=(-b+√b²-4ac)/2a.
If b² > 4ac the solutions are real. If b²-4ac is a perfect square, the solutions are real and rational; otherwise they’re real but irrational.
If b² < 4ac the solutions are complex.

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Find the measure of the indicated angle to the nearest degree

aleksandrvk [35]

Tan^-1 x (2/3) = 34°

7 0

3 years ago

A rectangle's length is twice its width. if the perimeter is 66 cm find the width of the rectangle

Lesechka [4]

Perimeter = 2L + 2W

Let x = width and let 2x = length

Perimeter = 66

2x + 2(2x) = 66

2x + 4x = 66 --> 6x = 66 --> x = 66/6 --> x = 11

The width of the rectangle is 11 cm.

6 0

3 years ago

In the coordinate plane, what is the length of the line segment that connects points at

DaniilM [7]

Draw up a right triangle to connect these two points with the line itself being the hypotenuse. Then use pythagorean theorem to solve for the hypotenuse

3 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Ostrovityanka [42]

Answer:

RS = 4.9

Step-by-step explanation:

Because the sides involved are hypotenuse and adjacent to the angle we use Cosine:

$\frac{RS}{7} = Cos(46)$

$RS = 7Cos(46)$

$RS = 4.86.....$

RS = 4.9

5 0

3 years ago

Read 2 more answers

Suzy deposits $500 in a savings account with an interest rate of 6% compounded annually. if suzy does not make any additional de

Savatey [412]

Answer:

It will take about 3 years for Suzy to earn at least $95.

Step-by-step explanation:

Compound interest is interest computed on the original principal as well as on any accumulated interest.

If you deposit P dollars at rate r, in decimal form, subject to compound interest, then the amount, A, of money in the account after t years is given by

$A=P(1+r)^t$

The amount A is called the account's future value and the principal P is called its present value.

From the information given we know that $500 is the present value, 6% is the rate, and we want to find how long will it take for Suzy to earn at least $95, this means when the future value is $595.

Applying the above formula and solving for t we get that:

$595=500(1+\frac{6}{100} )^t\\\\500\left(1+\frac{6}{100}\right)^t=595\\\\\left(1+\frac{6}{100}\right)^t=\frac{119}{100}\\\\\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\\\\\ln \left(\left(1+\frac{6}{100}\right)^t\right)=\ln \left(\frac{119}{100}\right)\\\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\\t\ln \left(1+\frac{6}{100}\right)=\ln \left(\frac{119}{100}\right)$

$t=\frac{\ln \left(\frac{119}{100}\right)}{\ln \left(\frac{53}{50}\right)}\approx 2.99$

8 0

2 years ago