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3 years ago

What is -3(y+4)-2y simplified?

Mathematics

1 answer:

Pie3 years ago

3 0

-3(y+4)-2y
First multiply inside the parenthesis
-3y-12-2y
Combine like terms
5y+12

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On a cm grid, point P has coordinates (3,-1) and point Q has coordinates (-5,6) calculate the shortest distance between P and Q

BartSMP [9]

Answer:

10.63cm

Step-by-step explanation:

The formula for calculating the distance between two coordinate is expressed as;

D = √(x2-x1)²+(y2-y1)²

Given the coordinates (3, -1) and (-5, 6)

D = √(-5-3)²+(6-(-1))²

D = √(-5-3)²+(6+1)²

D = √(-8)²+(7)²

D = √64+49

D = √113

D = 10.63cm

Hence the shortest distance between P and Q is 10.63cm

5 0

3 years ago

Can someone help me with these 2. Will Mark brainliest.

Ostrovityanka [42]

1.) 3

Take the given equation

2y=6x-8

Now divide by 2 on each side

y=3x-4

Slope is 3

2.) y=1/3x-4

6 0

3 years ago

Sue Jones is insured for bodily injury in the amount of 10/20. She is at fault in an accident in which Albert Smith is injured.

FromTheMoon [43]

Solution:

Albert's medical expenses is = $ 12,000

Sam's come = $ 8,000

Add the amount = 12000 + 8000 = $ 20000

Sue Jones is insured for the amount = 10/20

Now, find the insurance.

(10/20)*(20,000) = 10000

Hence, $10000 pay for the insurance.

7 0

4 years ago

Read 2 more answers

BRAINLY TO WHOEVER HELPS AND GET IT RIGHT ~no links pls~

FinnZ [79.3K]

Answer:

4 yards saved

Step-by-step explanation:

two adjacent sides: 6 + 8 = 14

diagonal: √(6² + 8²) = √100 = 10

14 - 10 = 4

7 0

3 years ago

Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary

uysha [10]

Answer:

The equation of the regression line is: $y=5.055 + 1.905 \cdot x$

Step-by-step explanation:

We have the following data:

$\begin{array}{c|cccccccccc}Productivity&23&25&28&21&21&25&26&30&34&36\\Dexterity&49&53&59&42&47&53&55&63&67&75\end{array}$

We can use the Least Squares Regression to find the line of best fit for a set of paired data.

To find the line of best fit for n points:

Step 1: For each (x,y) point calculate $x^2$ and xy.

Step 2: Sum all x, y, $x^2$ and xy, which gives us Σx, Σy, $\sum x^2$ and Σxy.

Step 3: Calculate Slope b:

$b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}$

where n is the number of points.

Step 4: Calculate Intercept a:

$a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}$

Step 5: Assemble the equation of a line

$y=a + b \cdot x$

Following the above steps we get:

Step 1: Find $x^2$ and xy as it was done in the table

Step 2: Find the sum of every column:

$\sum{X} = 269 ~,~ \sum{Y} = 563 ~,~ \sum{X \cdot Y} = 15596 ~,~ \sum{X^2} = 7473$

Step 3: Use the following equations to find a and b:

$a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 563 \cdot 7473 - 269 \cdot 15596}{ 10 \cdot 7473 - 269^2} \approx 5.055$

$b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 10 \cdot 15596 - 269 \cdot 563 }{ 10 \cdot 7473 - \left( 269 \right)^2} \approx 1.905\end{aligned}$

Step 4: Assemble the equation of a line

$y=5.055 + 1.905 \cdot x$

The graph of the regression line is:

4 0

3 years ago