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Vanyuwa [196]
3 years ago
12

What are the coordinates of the point (2, −3) after a counterclockwise rotation of 90° about the origin?

Mathematics
2 answers:
elena-s [515]3 years ago
7 0
The rule for a 90* counterclockwise rotation around the axis is: (x,y) --> (-y,x) so your answer would be (2,-3) --> (3,-2)
8090 [49]3 years ago
7 0

(3,2) 90* rotation counterclockwise about the origin

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In a political science class, test scores were determined to be 20 times the number of hours, h, the student studied plus 3.
V125BC [204]

Answer:

S = 20h + 3

Step-by-step explanation:

It is seen in a political science class that the test score were determined to be 20 times the number of hours, h, the student studied plus 3.

Hence, the condition can be modeled by the equation

S = 20h + 3

where, S represents the score of a particular student who studied h hours before the test. (Answer)

7 0
3 years ago
Consider the function FX equals -2/3 X -24 which conclusions can be drawn about F negative 1X select two options a F negative 1X
omeli [17]

The conclusions that can be drawn about f–1(x) are:

  • f^-^1(x) has an x-intercept of (-36, 0)
  • f^-^1(x) has a range of all real numbers.

<h3>Calculations and Parameters:</h3>

Given:

f(x) = \frac{-2}{3}x - 24

f(x) + 24 = \frac{-2}{3}x

To find x, we would multiply both sides by -2/3

= x= \frac{-3}{2} (f(x) + 24)

f^-^1(x) = -\frac{3}{2} (0) - 36

f^-^1(x) = -36

Therefore, f^-^1(x)  has an x-intercept of (-36, 0)

Furthermore, f^-^1(x) has a range of all real numbers.

Read more about real numbers here:

brainly.com/question/17020343

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5 0
2 years ago
18 cajas de manzanas y peras fueron llevadas a la escuela. Las peras trajeron 210 kg en 6 cajas. ¿Cuántos kilos de manzanas fuer
Katyanochek1 [597]

Answer:

504 kilos de manzanas fueron llevados a la escuela.

Step-by-step explanation:

Sean x, y la cantidad de cajas de manzanas y peras, respectivamente. De acuerdo con el enunciado, tenemos el siguiente sistema de ecuaciones:

Total de cajas

x+y = 18 (1)

Masa de cada caja de peras

y\cdot m_{P} = 210 (2)

y = 6 (3)

Masa de caja de manzanas

m_{M} = m_{P}+7 (4)

De (2) en (3), tenemos que la masa de cada caja de peras es:

m_{P} = 35\,kg

Por (4), encontramos que la masa de cada caja de manzanas es:

m_{M} = 35\,kg+7\,kg

m_{M} = 42\,kg

Finalmente, de (1) tenemos la cantidad de cajas de manzana:

x = 18-y

x = 12

La cantidad de kilos de manzanas llevada a la escuela se obtiene al multiplicar la cantidad de cajas de manzana por la masa de cada caja:

M = (12)\cdot (42\,kg)

M = 504\,kg

504 kilos de manzanas fueron llevados a la escuela.

7 0
3 years ago
What is the area of a triangle that has a base of 15 yards and a height of 11 yards?
Evgen [1.6K]
A = hb/2
A = (15)(11) / 2
A = 165/2
A = 82.5 <===
6 0
3 years ago
Agrupe os termos e fatore <br><br> xy+2x+5y+10
otez555 [7]
(y+2) (x+5) this your answer
5 0
3 years ago
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