All categories

2 years ago

Please help!!! I need someone to use some brain power

Mathematics

1 answer:

olya-2409 [2.1K]2 years ago

3 0

Answer:

r = 4, s = 3, t = 5

Step-by-step explanation:

<u>Solving quadratic equation:</u>

5x² - 8x + 5 = 0
x = (-b ± √b²-4ac)/2a
x = (8 ± √8²-4*5*5)/2*5
x = (8 ± √64-100)/10
x = (8 ±√-36)/10
x = (8 ± 6i)/10
x = (4 ± 3i)/5

x = (r ± si)/t

r = 4, s = 3, t = 5

You might be interested in

A foreman for an injection-molding firm admits that on 55% of his shifts, he forgets to shut off the injection machine on his li

motikmotik

Answer:

0.8594

Step-by-step explanation:

Let a denote the event of forgetting to shut off machine and b be the event of being defective.

-A foreman forgets to shut off machine 55% of the time.

-If he forgets, 15% of molds are defective.

-If he does not, 3% of molds are defective.

#The probability that he forgot to shut off the machine is calculated as:

$P(a \ and \ b)=0.55\times 0.15\\\\=0.0825\\\\$

P(a and ~b)=0.55(1-0.15)=0.4675

P(~a and b) = (1-0.55)*0.03=0.0135

P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365

#Conditional probability is defined as:

$P(a|b)=\frac{P(a \ and\ b)}{P(a)}\\\\=\frac{P(a \ and \ b)}{[(P(a \ and \ b)+P(\~a \ and \ b)}\\\\\\=\frac{0.0825}{0.0825+0.0135}\\\\\\=0.8594$

Hence, the probability that the foreman forgot to shut off the machine the previous night is 0.8594

5 0

2 years ago

your friend says that the volume of a sphere with a radius r is four times the volume of a cone with radius r. when is this true

Ierofanga [76]

Volume of a sphere is given by the formula: $V_{\circ}=\frac43\pi r^3$

If we pull the 4 out front we have, $V_{\circ}=4\left(\frac13\pi r^3\right)$ .

Volume of a cone is given by the formula: $V_{\triangle}=\frac{1}{3}\pi r^2\cdot h$

Notice that if the height of the cone is equal to the radius, $V_{\triangle}=\frac13\pi r^2\cdot r$

then it's exactly what we see in our volume formula without the 4!

7 0

2 years ago

Given: BC bisects DBE. Prove: ABD is congruent to ABE

Arada [10]

Answer:

See below

Step-by-step explanation:

BC bisects <DBE and if AC is a straight line then you have that:

<ABD + <DBC = 180 (straight angle because of line AC)

<ABE + <CBE = 180 ( straight angle because of line AC)

Because BC bisects <DBE => < DBC = <CBE

So <ABD and <ABE must be the same to both sum 180 when added < DBC

7 0

3 years ago

I need to know how to do this step my step and the answer

MissTica

You can use the calculator or 0^2 is 0 x -3 =0 +7 (0) -4 =-4

5 0

3 years ago

Someone please help, its for a hw assignment I have due today. What is the equation of the line through (3, 7) that is perpendic

Brilliant_brown [7]

The required equation is:

$y=-\frac{6}{5}x+\frac{53}{5}$

Step-by-step explanation:

Let l_1 be the line through (-1, -2) and (5, 3)

and l_2 be the line we require which passes through (3,7)

We have to find the lope of l_1 first

$m_1=\frac{y_2-y_1}{x_2-x_1}\\=\frac{3-(-2)}{5-(-1)}\\=\frac{3+2}{5+1}\\=\frac{5}{6}$

we have to find the equation of line perpendicular to l1

The product of slopes of two perpendicular lines is -1

Let m_2 be the slope of l_2

Then

$\frac{5}{6}*m_2=-1\\m_2=-\frac{6}{5}$

The general slope-intercept form is:

y=mx+b

Putting the value of slope

$y=-\frac{6}{5}x+b$

To find the value of b, we will put (3,7) in the equation

$7=-\frac{6}{5}(3)+b\\7=-\frac{18}{5}+b\\b=7+\frac{18}{5}\\b=\frac{35+18}{5}\\b=\frac{53}{5}$

Putting the values of b and m in standard slope intercept form:

$y=-\frac{6}{5}x+\frac{53}{5}$

Hence,

The required equation is:

$y=-\frac{6}{5}x+\frac{53}{5}$

Keywords: Equation of line

Learn more about equation of line at:

#LearnwithBrainly

7 0

2 years ago