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3 years ago

Four less than a number divided by 3 -11 what is the number?

Mathematics

1 answer:

kogti [31]3 years ago

4 0

-33 ,
If you multiply -11 by 3 you get -33 so if you have -33 ÷3=-11

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What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?

olga2289 [7]

Step $1$

Find the slope of the given line

Let

$A(-3,2)\ B(2,-1)$

slope mAB is equal to

$mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}$

Step $2$

Find the slope of the line that is perpendicular to the given line

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to $-1$

$mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}$

Step $3$

Find the equation of the line with mCD and the point (3,0)

we know that

the equation of the line in the form point-slope is equal to

$y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5$

Multiply by $3$ both sides

$3y=5x-15$

$5x-3y=15$

therefore

the answer is

the equation of the line that is perpendicular to the given line is the equation $5x-3y=15$

4 0

3 years ago

Read 2 more answers

Nwhat is the range of data set for 8 1 7 6 14

bazaltina [42]

Answer:

14-1=13 range= 13

Step-by-step explanation:

The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

4 0

3 years ago

Question 2

Free_Kalibri [48]

I’m terms of 12 in is the correct answer.

7 0

2 years ago

Mr and Mrs jackson are having a family portraits taking with their son and daughter. the photographer wants to have two people s

miskamm [114]

If your question is how many positions are possible, then the answer is 24.

We find this by thinking of how many people can be in each spot. If there are 4 spots each person can stand (back left, back right, front left, front right), then there are 4 possible choice for the first spot (mom, dad, son, daughter), then 3 for the next spot (since 1 is already in a spot), then 2 options for the next spot, and then 1 option for the last spot. In other words, the answer is 4x3x2x1, or 4 factorial.

5 0

3 years ago

PLZ HELP QUICKLY! Find the value of the expression. 10^2

blagie [28]

Answer:

100 is correct answer

Step-by-step explanation:

${10}^{2} \\ = 10 \times 10 \\ = 100$

when ever anything ² , it means that number is multiplied by itself.

in above we multiple 10 with 10 and we get 100.

hope it helped you:)

8 0

3 years ago