4 years ago

What is 1.086 rounded to the nearest whole number

Mathematics

1 answer:

Sphinxa [80]4 years ago

5 0

1.086 rounded to the nearest whole number is 1

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the lowest temperature on Thursday was -20 degrees Celsius the lowest temperature on Saturday was -12 degrees Celsius what's the

Nataliya [291]

The answer is 8 degrees celcius

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4 years ago

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Explain how you could write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two dis

Elena-2011 [213]

Answer:

$f(x) = (x + 1)(x - 7)$

Step-by-step explanation:

For a quadratic function to have a vertex with an x-coordinate of 3, then

$3 = - \frac{b}{2a}$

Let a=1, then we have

$3 = - \frac{b}{2}$

$b = - 2 \times 3 = - 6$

So now our equation becomes:

$f(x) = {x}^{2} - 6x + c$

We now find two factors of c that add up to -6.

Let these factors be 1, and c.

Then

$c + 1 = - 6$

$c = - 6 - 1 = - 7$

Therefore the factors are :

1 and -7.

The function becomes:

$f(x) = {x}^{2} - 6x - 7$

The factored form is

$f(x) = (x + 1)(x - 7)$

7 0

3 years ago

A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection ac

Oksi-84 [34.3K]

Answer:

3. line y=x
4. 10 units to the right and 4 units up

Step-by-step explanation:

In the attached diagram, the green polygon A"B"C" is the reflection of ABC across the line y=x. Then the purple polygon A'B'C' is the translation of A"B"C" 10 units to the right and 4 units up.

_____

You can tell a reflection is involved, because the clockwise order of A, B, C in the original is reversed to counterclockwise in A'B'C'. The left-right horizontal line AC becomes the down-up vertical line A'C', so you know the reflection is across the line y=x, and not the line y=-x.

After the reflection, point A" is located at (2, -6), so moving it to A'(12, -2) entails a translation 10 units right and 4 units up.