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3 years ago

A is (-2,1)

Mathematics

1 answer:

valkas [14]3 years ago

7 0

1) in order to solve this problem you must to obtain The value of K, for it you know by definition that the horizontal slope of the side BC is zero ,

then m = Y2-Y/X2-X1, 0 = 5-K/4-6⇒0 = 5-K⇒K = 5

known this value for K you ca find the equation of thE line that pass through A and C

2) Following the same procedure in first place you calculate the slope with the points A(-2,1) Y C ( 4,5)

m= 5-1/4-(-2) = 2

now with any point A or C and the slope you obtain the line

A(-2,1)

y-y1 = m (x-x1) , Y-1= 2(X-(-2)⇒Y-1= 2X+4⇒Y=2X+4-1⇒Y =2X+3

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One thousand raffle tickets are sold at $2 each. Six prizes will be awarded, one first prize worth $500, two second prizes worth

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Oliver would have a 1/1000 chance of getting $500, a 2/1000 chance of earning $300, and a 3/1000 in earning $1000. He would have a 994/1000 chance of making no money back

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3 years ago

Maria has recently retired and requested an extra $444.00 per year in income. She has $ 5400 to invest in an A-rated bond that

Dimas [21]

Answer:

$2400 in A rated bond and $3000 in B rated bond.

Step-by-step explanation:

We have been given that Maria has recently retired and requested an extra $444.00 per year in income.

We can represent this information in an equation as:

$A+B=5400...(1)$

She has $5400 to invest in an A-rated bond that pays 10% per annum or a B-rated bond paying 6% per annum.

$0.10A+0.06B=444...(2)$

From equation (1), we will get:

$A=5400-B$

Substitute this value in equation (2):

$0.10(5400-B)+0.06B=444$

$540-0.10B+0.06B=444$

$540-0.04B=444$

$540-540-0.04B=444-540$

$-0.04B=-96$

$\frac{-0.04B}{-0.04}=\frac{-96}{-0.04}$

$A=2400$

Therefore, Maria should invest $2400 in A-rated bond.

Substitute $A=2400$ in equation (1):

$2400+B=5400$

$2400-2400+B=5400-2400$

$B=3,000$

Therefore, Maria should invest $3000 in B-rated bond.

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3 years ago

Mrs. cugini collected data on the hand span length and height of each of her Algebra 1 students.

dem82 [27]

<h3>a. slope = $\displaystyle m=\frac{15}{2}$ </h3><h3>b. slope = m = positive = positive correlation = two sets of data increase together</h3><h3>Further explanation</h3>

Scatter plot shows the relationship between data

We can use Regression to make lines on the chart or you can also make lines with the principle as close as possible to all points

Regression

$\displaystyle m=\frac{N\sum (xy)-\sum x\sum y }{ N\sum (x^2)-(\sum x)^2}$

Because data is in the form of numbers from the hand span length and height of each of students. not displayed clearly, then we make a line directly by making points on the graph above and below the line as much as possible to be balanced

We specify 2 points that are crossed by a line, for example:

(6.45) and (8.60)

slope (m) = change in y / change in x

$\displaystyle m=\frac{60-45}{8-6}\\\\m=\frac{15}{2}$