Solve each system by graphing: y=-1/2x+2 y=-3/2x-2

Please help, I beg of y'all <br><br>FIND BD -

puteri [66]

9514 1404 393

Answer:

14 units

Step-by-step explanation:

The angle bisector divides the sides proportionally.

BD/BA = CD/CA

(x+4)/8 = (2x+1)/12

3(x +4) = 2(2x +1) . . . . . multiply by 24 (the least common denominator)

3x +12 = 4x +2 . . . . . . . eliminate parentheses using the distributive property

12 = x +2 . . . . . . . subtract 3x

10 = x . . . . . . . . . subtract 2

Then the length of BD is ...

BD = x +4

BD = 10 +4 . . . . substitute the value of x

BD = 14

3 0

3 years ago

A typical lap around a track in the United States has length of 440 yards. How many lap would need to be complete to run a mile?

g100num [7]

4 laps because a mile is 1,760 yards and the 440 laps need to be divided into 1,760 so 1,760/440 is 4 so four laps are needed to complete a mile

3 0

2 years ago

A poll was conducted by a home mortgage company regarding home ownership in the United States. The company polled 1,488 American

____ [38]

If the sample size is 1488 and confidence interval of 99% then the margin of error is 0.03088.

Given sample size of 1488, percentage of those polled own a home be 69% and confidence level be 99%.

We are required to find the approximate margin of error.

Margin of error is the difference between calculated values and real values.

n=1488

p=0.69

Margin of error=z* $\sqrt{p(1-p)/n}$

Z score when confidence level is 99%=2.576.

Margin of error=2.576* $\sqrt{0.69(1-0.69)/1488}$

=2.576* $\sqrt{(0.69*0.31)/1488}$

=2.576* $\sqrt{0.2139/1488}$

=2.576* $\sqrt{0.0001437}$

=2.576*0.01198

=0.03088

Hence if the sample size is 1488 and confidence interval of 99% then the margin of error is 0.03088.

Learn more about margin of error at brainly.com/question/10218601

#SPJ1

3 0

2 years ago

solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+

Alekssandra [29.7K]

Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

Given the system of three equations:

$\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.$

Write the augmented matrix for the system of equations

$\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)$

Find the reduced row-echelon form of the augmented matrix for the system of equations:

$\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)$

Thus, the system of three equations is

$\left\{\begin{array}{r}x+3z-2y=-2\\16z-14y=36\\-6y=36\end{array}\right.$

From the last equation:

$y=-6$

Substitute it into the second equation:

$16z-14\cdot (-6)=36\\ \\16z=36-84\\ \\16z=-48\\ \\z=-3$

Substitute y = -6 and z = -3 into the first equation:

$x+3\cdot (-3)-2\cdot (-6)=-2\\ \\x=-2+9-12\\ \\x=-5$

7 0

3 years ago

Karita had $138.72 in her checking account. She wrote checks for $45.23 and $18.00. Then she made a deposit of $75.85 into her a

denis-greek [22]

138.72 - 45.23 - 18
These are the check costs that subtracted from her bank account
75.49 is what you get
A deposit is when you add money to your account, so, you add 75.85
75.49 + 75.85 = $151.34

3 0

2 years ago

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