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3 years ago

What is the image of (1, -6) for a 270° counterclockwise rotation about the origin?

1 answer:

Nookie1986 [14]3 years ago

3 0

The original point is in the 4th quadrant and after the rotation, it would be in the 3rd quadrant. The rotated point would be (-6,-1)
i dont know what you mean by the image but ya

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the sum of the perimeter of two squares is 40cm while the sum of the area is 58cm². Find length the side of the square.

tia_tia [17]

$a,\ b-the\ length\ of\ sides\\\\(1)\qquad4a+4b=40\qquad\text{divide both sides by 4}\\\\a+b=10\to a=10-b\\\\(2)\qquad a^2+b^2=58\\\\\text{Substitute}\ (1)\ \text{to}\ (2):\\\\(10-b)^2+b^2=58\qquad\text{Use}\ (x-y)^2=x^2-2xy+y^2\\\\10^2-2(10)(b)+b^2+b^2=58\\\\100-20b+2b^2=58\qquad\text{subtract 58 from both sides}\\\\42-20b+2b^2=0\\\\2b^2-20b+42=0\qquad\text{divide both sides by 2}\\\\b^2-10b+21=0\\\\b^2-7b-3b+21=0\\\\b(b-7)-3(b-7)=0\\\\(b-7)(b-3)=0\iff b-7=0\ \vee\ b-3=0\\\\\boxed{b=7\ \vee\ b=3}$

$\text{Put the values of b to }\ (1):\\\\for\ b=7\to a=10-7=3\\\\for\ b=3\to a=10-3=7\\\\Answer:\ \boxed{7cm\ and\ 3cm.}$

8 0

4 years ago

Why is it important to look at more than just the first two numbers of a pattern to decide the rule for a pattern?

poizon [28]

Sometimes there is division involved which may seem the same for the first two, but is different for the rest.

please choose brainliest :]

4 0

4 years ago

Read 2 more answers

Please help with this!

Klio2033 [76]

Answer:

y = 8
RS = 51
ST = 29

Step-by-step explanation:

(a) You use the fact that the lengths RS and ST total the length RT.

RS +ST = RT

(6y+3) +(3y+5) = 80 . . . . . substitute the given values

9y +8 = 80 . . . . . . . . . . . . .simplify

9y = 72 . . . . . . . . . . . . . . . .subtract 8

72/9 = y = 8 . . . . . . . . . . . .divide by the coefficient of y

___

(b) Now, the value of y can be substituted into the expressions for RS and ST to find their lengths.

RS = 6y +3 = 6·8 +3

RS = 51

ST = 3y +5 = 3·8 +5

ST = 29

___

Check

RS +ST = 51 +29 = 80 = RT . . . . the numbers check OK

5 0

3 years ago

Whats the difference between abs extreme values and extreme values?

exis [7]

The difference between abs extreme values (absolute extreme values) and extreme values is:
The absolute extreme values, or extrema, refer to the maximum and minimum values of a function while an extreme value, or extremum (plural extrema), is the smallest (minimum) or largest (maximum) value of a function.

>A function f is said to have an absolute maximum on an interval I at x0 if f(x0 ) is the largest value of f on I; that is, f(x0 ) ≥ f(x) for all x in the domain of f that are in I.

8 0

4 years ago

a baseball diamond. measures 27 meters along each side: If a batter hit 3 home runs in a game, how many kilometers did the batte

Lorico [155]

(27 m/side)*(4 sides/run)*(3 runs) = 324 m = 0.324 km

5 0

3 years ago