Find the area of the shaded region using Pick's Theorem.



A. 25
B. 42
C. 18
D. 27

Answer:

Option A, Left by 4 units

Step-by-step explanation:

Step 1:  Convert g(x) to a function square

We currently have g(x) in this order:  [tex]ax^2 + bx + c[/tex]

However, we want g(x) to be in this order:  [tex](ax + c)^{2}[/tex]

The first thing we have to do is to factor it out:

[tex]g(x)=x^{2}+8x+16[/tex]

[tex]g(x) = (x + 4)(x + 4)[/tex]

[tex]g(x) = (x+4)^{2}[/tex]

Step 2:  Now we can see which way we need to move it

The original form is:  [tex]f(x) = (ax - b)^{2}[/tex]

Since the - has changed to a +, that means that we moved -4 spaces down the x-axis.  This means that we move left by 4 units.

Answer:  Option A, Left by 4 units

Look at the graphs below to make sure:

Answer:

A.) Left By 4 Units

Step-by-step explanation:

Functions f(x) and g(x) are shown below: f(x) = x2 g(x) = x2 + 8x + 16

The direction in which and by how many units the f(x) should be shifted to obtain the g(x) is given by as follows.

Given,

f(x) = x²

g(x) = x² + 8x + 16

we have to consider, the dependent term while selecting the direction.

Therefore, except x², only x term is dependent term.

In g(x), the x term is given by 8.

Therefore, we need to shift the f(x) left by 4 units.

Therefore, option A is correct.

Answer:

1 6 3b 0ny 5i bhk

Step-by-step explanation:

Answer:

The multiplicative inverse of y is [tex]\frac{1}{y}[/tex].

Step-by-step explanation:

Multiplicative inverse implies a value that you would multiply with the given value so as to give 1.

Let the multiplicative inverse of y be represented by a, so that;

a x y = 1

ay = 1

divide both sides by y to have,

a = [tex]\frac{1}{y}[/tex]

Thus, the multiplicative inverse of y is [tex]\frac{1}{y}[/tex].

This is applicable to any given value. Examples:

i. Given 2, the multiplicative inverse is [tex]\frac{1}{2}[/tex].

⇒ 2 x [tex]\frac{1}{2}[/tex] = 1

ii. What is the multiplicative inverse of 5?

The required answer is [tex]\frac{1}{5}[/tex].

Answer:

Yes

Step-by-step explanation:

So we substitute the point given x=-5 and y = -3 to see if this solves both equations at the same time so

3(-5) - 9(-3) = 12 ->  -15+27 = 12 -> 12 = 12 [this one works]

8(-5) - 14 (-3) = 2 -> -40 + 42 = 2 -> 2=2 [this one works also]

Since (-5,-3) is a solution to both equations, then this is a solution to this system

Answer: Yes

Step-by-step explanation:

Here

x = -5

y = -3

3x - 9y = 12

Here if you substitute x and y,

3 * (-5) - 9 * (-3)

(-15) - (-27)

=12

8x - 14y = 2

8 * (-5) - 14 * (-3)

(-40) - (-42)

= 2

Answer:

3?

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

4 : 9

36 : ?

to get from 4 to 36, you multiply 9

9 x 9 = 81

Answer:

B. There is no solution; x and y are eliminated and you get the false statement 0 = 20.

Step-by-step explanation:

According to the elimination method, the two equations are

y + 3x = 10

−y − 3x = 10

If we solve it

0 = 20

As x and y would be eliminated due to positive and negative signs

Therefore the option b is correct

Answer:

this is the answer

Step-by-step explanation:

hope this will help you

The angles are adjacent and complementary.

Complementary means they add up to 90 degrees.

3x + 45 = 90

3x = 90 - 55

3x = 45

x = 45/3

x = 15

The value of x is 15 degrees.

Answer:

I think it's C im not certain

Answer:

180

Step-by-step explanation:

Answer: you have it right

Step-by-step explanation:

Answer:

1. Sumpplemtery 2. Complementary.

Step-by-step explanation:

Answer:

$460.25

Step-by-step explanation:

350 + .065(350) + .25(350)

= 350 + 22.75 + 87.5

$460.25

b because 90

                  15

                  15

               -_____

                  76.50

Answer:

8

Step-by-step explanation:

45 points for a free movie - 25 points = 20 remaining points needed

20 / 2.5 = 8

She would need 8 visits to earn a free movie ticket.

Answer:

8

Step-by-step explanation:

25+2.5x=45

subtract 25 from each side

2.5x=20

divide both sides by 2.5

x=8

Answer:

82 .

Step-by-step explanation:

9x 10 = 90 then 90-8 = 82 that how many spaces are filled .

Answer:

5f + 6g + 12

Step-by-step explanation:

10f - 5f is 5f, you would keep 6g as it is because there are no other numbers to add to it, and 8 + 4 is 12. Hope this helps!! :)

Answer:

19 cm³

Step-by-step explanation:

The figure cam be decomposed into two cuboid.

✔️Dimension of cuboid 1:

L = 2 cm

W = 1 cm

H = 8 - 3 = 5 cm

Volume = L * W * H

Volume = 2*1*5 = 10 cm³

✔️Dimension of cuboid 2:

L = 3 cm

W = 1 cm

H = 3 cm

Volume = L*W*H = 3*1*3

Volume = 9 cm³

✅Volume of the irregular figure = 10 + 9 = 19 cm³

Answer:

4,2,1

Step-by-step explanation:

Answer:

(-2 [tex]\frac{1}{2\\}[/tex], -7) would be in 3.

(0,6) would be on the y axis.

(-5,0) would be on the x axis.

Step-by-step explanation

(-2[tex]\frac{1}{2}[/tex],-7) are both negatives since quadrant 1 is positive x and y, quadrant 2 x is positive and y is negative, quadrant 3 is negative x and y, and quadrant 4 is negative x positive y.

(0,6) and (-5,0) is all about which number is x. Every x coordinant comes first.

Answer:

Plants may die because they are not used to the new environmental change.

Step-by-step explanation:

animals might lack food and water. If organisms cannot adapt to the changes in their ecosystem, they may move to another location. If they will not move, the species may become threatened, endangered or extinct.

Answer:

it could die, it good get over populated, it could get better living secumstances

Step-by-step explanation:

Answer: $16,244.55

Step-by-step explanation: Multiply $19,100 by .19 to find the discount. Then subtract that number from the original to find the discounted price. Then multiply the discounted price by .5 to find the tax. Add the tax to the discounted price to find the discounted taxed price. This is the final price and is $16,244.55

Answer for Area :

1/24

Answer for Perimeter :

35/36

Step-by-step explanation:

To find the area it's l x w so you multipy 1/9 and 3/8 = 1/24

To find the perimeter you add all the sides together so you add 1/9 + 1/9 + 3/8 + 3/8 = 35/36

I hope this helped you!! :> Have a great rest of your day!

Answer: area 1/24 perimeter 35/36

Step-by-step explanation: