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levacccp [35]
1 year ago
13

Point `A` is located at coordinates `(-3,\ 2)`. Point `B` is the image of point `A` after a rotation of `180°` using `(0,\ 0)` a

s the center of rotation. What are the coordinates of point `B`?
Mathematics
1 answer:
77julia77 [94]1 year ago
4 0

The location of point B after a rotation of point A(-3, 2) 180 degrees about the origin is (3, -2)

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Rigid transformation is the transformation that does not change the shape or size of a figure. Examples of rigid transformations are <em>translation, reflection and rotation</em>.

The location of point B after a rotation of point A(-3, 2) 180 degrees about the origin is (3, -2)

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

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A sheet of paper 90 cm-by-66 cm is made into an open box (i.e. there's no top), by cutting x-cm squares out of each corner and f
NNADVOKAT [17]

Answer:

26 - \sqrt{181} cm

Step-by-step explanation:

The volume of the box is:

V = height * length * width

V = x*(66 - 2*x)*(90 - 2*x)

V = (66*x - 2*x^2)*(90 - 2*x)

V = 5940*x - 132*x^2 - 180*x^2 + 4*x^3

V = 4*x^3 - 312*x^2 + 5940*x

where x is the length of the sides of the squares,  in cm.

The mathematical problem is :

Maximize: V = 4*x^3 - 312*x^2 + 5940*x

subject to:

x > 0

2*x < 66 <=> x < 33

In the maximum, the first derivative of V, dV/dx, is equal to zero

dV/dx = 12*x^2 - 624*x + 5940

From quadratic formula

x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)}

x = \frac{624 \pm \sqrt{(-624)^2 - 4(12)(5940)}}{2(12)}

x = \frac{624 \pm \sqrt{104256}}{24}

x = \frac{624 \pm \sqrt{2^6*3^2*181}}{24}

x = \frac{624 \pm 8*3*\sqrt{181}}{24}

x_1 = \frac{624 + 24*\sqrt{181}}{24}

x_1 = 26 + \sqrt{181}

x_2 = \frac{624 - 24*\sqrt{181}}{24}

x_2 = 26 - \sqrt{181}

But x_1 > 33, then is not the correct answer.

5 0
2 years ago
Rewrite the equation 4x + 5x2 = 8x – 7 in standard form and
Makovka662 [10]

Answer:

The correct option is a=5, b = -4, c=7 ....

Step-by-step explanation:

The standard form is ax²+bx+c=0

where a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

The given expression is:

4x + 5x2 = 8x – 7

To make it a standard equation we will move all the values to the left hand side and 0 will be left at the right hand side.

4x+5x²-8x+7=0

Now solve the like terms and arrange the equation according to the standard form:

ax²+bx+c=0

5x² - 4x +7 =0

Here a = 5

b = -4

c= 7

Thus the correct option is a=5, b = -4, c=7 ....

4 0
3 years ago
If you get this correct I will give you brainlest 5 stars and thanked please help on it
sweet-ann [11.9K]

Answer:

6:7 is 24:x

6:7is18:y

24/6=4. 4*7=28!

Therefore 24 : 28

18/6=3. 3*7=21.

Therefore 18:21

Please brainlest and thanks and 5 star rating! Your welcome and I am so happy to help you!

Step-by-step explanation:

5 0
3 years ago
What is the value of c? 13c−22=−17c+14
elena-s [515]
13c-22=-17c+14
-14 -14
13c-36=17c
-13 -13
-36\4=4\42
C=-9
3 0
3 years ago
Ms. Hernandez drives 40 miles each day — to and from work — 5 days a week. How many gallons of gas does she use? What informatio
nasty-shy [4]

Answer:

Step-by-step explanation:

40 = 5d

-Divide 5 by both sides by 5 which cancels 5 and leaves d but, then divide 40 by 5 which gives you 8.

D=8

-The information missing is how many gallons of gas he use in a day.

4 0
3 years ago
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