MATHEMATICS HIGH SCHOOL

Write y=2x^2-4x+12 in vertex form

Answers

Answer 1

Answer: This is the answer
y=-2(x+1)^2+8

Answer 2

Answer:

Answer:

its y=2(x-1)^2+10

Step-by-step explanation:

made a 100

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Taylor and Abby shared a $55 cash prize in the ratio 2:3. How much money did Taylor get?

Answers

the 2 to 3 ratio means there was 5 equal shares. because 2 plus 3 is 5

so if you divide 5 into 55 you get 11. each share is 11.

then multiply 11 by or 3 (depending on the person) in this case 2 because we want to know about Taylor

2 times 11 is 22.

Taylor got 22 dollars

Estimate each quotient: 63.7 ÷ 9.31 ≈, 93.6 ÷ 31.2 ≈

Answers

63.7 divided by 9.31 is approximately 6.84
and 93.6 divided by 31.2 is approximately (and precisely) 3

Rs+h²=1 solve for h

Answers

Answer:

h=1-rs

Step-by-step explanation:

rs+h^2=1 square on both sides

rs+h=1 subtract rs

h=1-rs

The sum of two numbers is 95, and their difference is 61. What are the two numbers?

Answers

Let's call:

$first\#=x$

$second\#=y$

then

when we have a SUM, we have PLUS and when we have a DIFFERENCE, we have MINUS... Let's go then...

$\begin{Bmatrix}x+y&=&95\nx-y&=&61\end{matrix}$

now we can sum all the rows then we got it... (This is the other way to solved this question)

$x+y+(x-y)=95+61$

$x+y+x-y=156$

$2x=156$

$\boxed{x=78}$

now we can replace this value at first or at second row, you just need to pick up one...

I'll choose the second one

$x-y=61$

$78-y=61$

$y=78-61$

$\boxed{y=17}$

$\boxed{\boxed{\begin{Bmatrix}x&=&78\ny&=&17\end{matrix}}}$

$\left \{ {x+y=95} \atop {x-y=61}} \right. \n \n2x=156\nx= (156)/(2) \n \nx=78\n \ny=95-y\ny=95-78\ny=17$

First number 78, and the second is 17 .

Is it impossible to raise to the power of 2 and get a value less than the original number

Answers

No it's not. If you raise any decimal number less than one to a power of 2, the number just gets smaller.

Hope this helps & makes sense ! (:

Any positive decimal less than 1 will get a value less than the original

The blue figure is a translation image of the black figure what write a rule to describe the translation

Answers

The translation rule from the blue figure to the black figure is -

$(x, y) \rightarrow (x - 4, \ y + 3)$

What are the types of translation of a graph?

There are three types of translations -

Reflection
Rotation
Dilation

Given is that the blue figure is a translation of the black image.

We can write the translation rule as -

$(x, y) \rightarrow (x - 4, \ y + 3)$

Hence, the translation rule from the blue figure to the black figure is -

$(x, y) \rightarrow (x - 4, \ y + 3)$