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3 years ago

Please help quickly

Mathematics

2 answers:

blagie [28]3 years ago

7 0

Answer:

x=2

Step-by-step explanation:

To find the axis of symmetry for a quadratic, you use the formula:

$x=-2ba$

Looking at the chart, we can see that $b=-1$ (the vertical shift) and $a=1$ (the slope. Plugging these values into the formula, we get:

$x=-2(-1)(1)=2$

Therefore, $x=2$ is the axis of symmetry.

The much simpler way of determining this, however, is simply looking at the graph and finding where the vertex is. It is given here that the vertex point is (2, -1) and the graph is mirrored horizontally so you can simply take the x-coordinate and that will be the axis of symmetry. If the parabola was mirrored vertically, the axis of symmetry would then be the y-coordinate of the vertex.

koban [17]3 years ago

5 0

Answer:

x = 2

Step-by-step explanation:

The axis of symmetry is a vertical line passing through the vertex, with equation

x = c ( c is the x- coordinate of the vertex ) , then

x = 2 ← equation of axis of symmetry

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The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori

Aliun [14]

Answer:

Step-by-step explanation:

Let $(ab)$ represent a number with $a$ in the ten's position and $b$ is the one's position.

This means $(ab)$ actually has value of $10a+b$ .

We are given the sum of those digits of $(ab)$ is 10; this means $a+b=10$ .

It says if 18 is added to the number $(ab)$ , then the result is $(ba)$ .

So $(ab)$ has value $10a+b$ and

$(ba)$ has value $10b+a$ .

We are given then:

$(ab)+18=(ba)$

$10a+b+18=10b+a$

Subtract $10a$ on both sides:

$b+18=10b+a-10a$

Simplify:

$b+18=10b-9a$

Subtract $b$ on both sides:

$18=10b-b-9a$

$18=9b-9a$

Divide both sides by 9:

$2=b-a$

Rearrange by commutative property:

$2=-a+b$

So the system of equations we want to solve is:

$a+b=10$

$-a+b=2$

-------------------------Add equations together (this will eliminate the variable $a$ and allow you to go ahead and solve for $b$ :

$0+2b=12$

$2b=12$

Divide both sides by 2:

$b=\frac{12}{2}$

Simplify:

$b=6$

If $b=6$ and $a+b=10$ , then $a=4$ . $a=4$ since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

7 0

3 years ago

PLEASE HELP ASAP!!!!!!!

love history [14]

Answer:

(a) Because it is an exterior angle

(b) The measure of angle 2 is 72°

Step-by-step explanation:

Angle 2 is an exterior angle because it is adjacent to the interior angle 1, and an exterior angle is equal to the sum of the measures of the two nonadjacent interior angles:

<2=30°+42°

<2=72°

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Answer:

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Step-by-step explanation:

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Ede4ka [16]

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Step-by-step explanation: Hope this helps

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Aleksandr [31]

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2 years ago

Please help quickly ​

Please help quickly