2 years ago

Someone please help me I’ll give out brainliest please don’t answer if you don’t know

Mathematics

1 answer:

natita [175]2 years ago

5 0

Answer:

$14.77

Step-by-step explanation:

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The roots of a quadratic equation ax2+bx+c=0 are 3+sqrt2 and 3−sqrt2. Find the values of b and c assuming that a=1.

slamgirl [31]

Answer:

$b=-6\\c=7$

Step-by-step explanation:

we know that

The general equation of a quadratic function in factored form is equal to

$y=a(x-x_1)(x-x_2)$

where

a is a coefficient of the leading term

x_1 and x_2 are the roots

we have

$a=1\\x_1=3+\sqrt{2}\\x_2=3-\sqrt{2}$

substitute

$y=(1)(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))$

Applying the distributive property convert to expanded form

$y=x^2-x(3-\sqrt{2})-x(3+\sqrt{2})+(3+\sqrt{2})(3-\sqrt{2})$

$y=x^2-(3x-x\sqrt{2})-(3x+x\sqrt{2})+(9-2)$

$y=x^2-3x+x\sqrt{2}-3x-x\sqrt{2}+7$

$y=x^2-6x+7$

therefore

$b=-6\\c=7$

7 0

2 years ago

Petra jogs 2 miles in 24 minutes. At this rate, how long would it take her to jog 10 miles?

mestny [16]

Answer:

120 Minutes

Step-by-step explanation:

24 minutes / 2 miles = 12 minutes / 1 mile

12 minutes / 1 miles = x minutes / 10 miles

Cross multiply

12*10/1 = x

120 / 1 = x

x = 120

Hope that helps!

6 0

2 years ago

For problems 3 and 4, find the missing side of the triangle. Leave answers in simplest radical form.

maria [59]

Answer: 3. 4 $\sqrt{13}$ 4. $\sqrt{225}$

Step-by-step explanation:

8^2 + 12^3 = c^2

64 + 144 = c^2

208 = c^2

√208

$4\sqrt{13}$

The final answer is the square root of 208

8^2 + b^2 = 17^2

64 + b^2 = 289

-64 64

b^2 = 225

$\sqrt{225}$

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2 years ago

How do you write 28.4 in expanded form?

marta [7]

It would be: 2*10 + 8*1 + 4*10^-1

7 0

3 years ago

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Use logarithms to solve the equation for t.<br> 1/5 e^(-2 t) = 0.9

blondinia [14]

Answer:

$t = - \frac{ln(4.5)}{2}$

3 0

2 years ago