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3 years ago

6

How do you rotate 90 degrees counterclockwise about the origin?

1 answer:

andriy [413]3 years ago

5 0

When rotating 90 degrees counterclockwise about the origin, the original coordinates are changed according to the rule (-y, x). Therefore, we take the original coordinates and switch them up accordingly to the rule listed above. When we do so, we get the coordinates Z'(4,0); J'(2,-5); L'(3,0). Hope this helps and have a phenomenal day!

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Solve for the equation for all x values by completing the square x^2 - 27= 67

navik [9.2K]

Answer:

The solutions for the equation $x^2\:-\:27=\:67$ are $x=\sqrt{94},\:x=-\sqrt{94}$ .

Step-by-step explanation:

To find the solutions for the equation $x^2\:-\:27=\:67$ you must:

$\mathrm{Add\:}27\mathrm{\:to\:both\:sides}\\\\x^2-27+27=67+27$

$\mathrm{Simplify}\\\\x^2=94$

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{94},\:x=-\sqrt{94}$

6 0

4 years ago

Joe weights 20lbs .less than twice Jeff's weight. If Jeff would gain lbs,.then together they would weight 250lbs. how much does

Hoochie [10]

230Ibs because altogether is 250Ibs and. Joe is 20Ibs so you subtract 250 by 20 and you get 230Ibs

6 0

3 years ago

PLS HELP ME WITH THIS QUESTION IVE BEEN DYING TRYING TO FIGURE THIS OUT

LekaFEV [45]

Answer:

y = -x - 1

Step-by-step explanation:

hello,

this is a line, right?

So the equation should be something like

y = ax+b and we need to find a and b

we can see that the points (-1,0) and (0,-1) are in the line so we can write

0 = a*(-1) + b <=> b - a = 0 <=> a = b

-1 = a*0 + b <=> b = -1

so the equation is

y = -x - 1

hope this helps

3 0

3 years ago

Read 2 more answers

Morton made 36 out of 48 free throws last season. What percent of his free throws did Morton make. Help!!! T-T

blondinia [14]

75 % free throws are made by Morton

<em><u>Solution:</u></em>

Given that Morton made 36 out of 48 free throws last season

To find: Percent of free throws made by Morton

From given statement,

total number of throws = 48

throws made by morton = 36

<em><u>Thus the percent of free throws made by Morton is given as:</u></em>

$percent = \frac{\text{number of throws made}}{\text{total number of throws}} \times 100$

Substituting the values, we get

$percent = \frac{36}{48} \times 100\\\\percent = 0.75 \times 100 = 75 %$

Thus 75 % of his free throws are made by Morton

4 0

4 years ago

Use grid paper to find the median of the data. 9, 7, 2, 4, 3, 5,9,6,8,0,3, 8

Oksanka [162]

Answer:

5.5

Step-by-step explanation:

0,2,3,3,4,5,6,7,8,8,9,9

there are to middle numbers

add then together (5 and 6)

which makes 11

divide 11 by 2

5.5

7 0

3 years ago