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3 years ago

Point H(x,y) moves 12 units left and 4 units up. What is a rule that describes this translation?

Mathematics

1 answer:

Naddika [18.5K]3 years ago

5 0

The x values decrease by 12 and the y increase by 4.

Answer: (x-12, y+4)

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Please solve for y X=2y-3

inessss [21]

Answer:

y = $\frac{x+3}{2}$

Step-by-step explanation:

Given

x = 2y - 3 ( add 3 to both sides )

x + 3 = 2y ( divide both sides by 2 )

$\frac{x+3}{2}$ = y

6 0

4 years ago

An aluminum can is a right cylinder. Find the amount of paper needed for the can's label and the total

Rina8888 [55]

Answer:

Label: About 527.9 square centimeters

Aluminum: About 835.7 square centimeters

Step-by-step explanation:

Amount of paper needed for the label:

You can imagine taking off the label and unrolling it, forming a rectangle. The height of this rectangle will be the height of the cylinder, while the length of the rectangle will be the circumference of the cylinder. Therefore, the area of that rectangle will be $2\pi r h= 2 \cdot \pi \cdot 7 \cdot 12\approx 527.9$ .

Amount of aluminum needed for the can:

This time, you need to add in the top and bottom of the can as well, which each have area $\pi r^2$ . Together, they have area $2\pi r^2=2\cdot \pi \cdot 7^2\approx 307.9$ . Adding this to the area of the sides, you get a total of about 835.7 square centimeters.

Hope this helps!

6 0

3 years ago

Factor the polynomial 4x4 – 20x2 – 3x2 + 15 by grouping. What is the resulting expression?

siniylev [52]

Factoring the polynomial $4x^4-20x^2-3x^2 + 15$ by grouping means separation of the polynomial in two addends, each of them consists of two addends:

$4x^4-20x^2-3x^2 + 15=(4x^4-20x^2)+(-3x^2+15).$

In first brackets the common factor is $4x^2,$ in second brackets the common factor is $-3.$

Then

$(4x^4-20x^2)+(-3x^2+15)=4x^2(x^2-5)-3(x^2-5)=(x^2-5)(4x^2-3).$

Answer: correct choice is B

7 0

4 years ago

Read 2 more answers

Keep getting this wrong

Minchanka [31]

Remember that the y-intercept is where the function has a value of $x = 0$ and the x-intercept is where the function has a value of $y = 0$ . Thus, to find the x-intercept and y-intercept, we can substitute these values into the equation and solve for the other variable.