The graph of y = x 2 is changed to y = x 2 - 3. How does this change in the equation affect the graph?

Answer:75

Step-by-step explanation:

Answer:

4 ft higher

Step-by-step explanation:

Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.

So, by Pythagoras' theorem,

10² = 6² + d²  (the length of the ladder is the hypotenuse side)

d² = 10² - 6²

d² = 100 - 36

d² = 64

d = √64

d = 8 ft

Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.

Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).

Now, applying Pythagoras' theorem to the ladder with these new lengths, we have

10² = (6 + x)² + (8 - 2x)²

Expanding the brackets, we have

100 = 36 + 12x + x² + 64 - 32x + 4x²

collecting like terms, we have

100 = 4x² + x² + 12x - 32x + 64 + 36

100 = 5x² - 20x + 100

Subtracting 100 from both sides, we have

100 - 100 = 5x² - 20x + 100 - 100

5x² - 20x = 0

Factorizing, we have

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0 or x = 4

The top of the ladder is thus 4 ft higher

Answer:

Step-by-step explanation:

Yes, it is, more or less. This is because with a tax-deferred account, tax savings are gotten when you make contributions, but when it then comes to a tax-exempt account, the withdrawals are instead free of tax during retirement.

In a tax-deferred account, you can make immediate tax deductions as much as the full amount of your intended contribution, but then, subsequent withdrawals from the same account will be taxed at the normal income rate.

On the other hand, tax-exempt accounts don't deliver a tax benefit, particularly when you contribute to the them, they provide tax benefits that comes much later

Answer:

Step-by-step explanation:

11, 10 (first side)

10,7 (2 side)

Answer:

No it is not a factor

Step-by-step explanation:

Reason for not being a factor is 3x^3-4x^2-4x. 3x3−4x2−4x 3 x 3 - 4 x 2 - 4 x. Factor x x out of 3x3−4x2−4x 3 x 3 - 4 x 2 - 4 x

Answer:

113.04 is our answer

Step-by-step explanation:

When finding Area the formula to do so is

radius x radius x pi

Sense we arent given radius we have to find out whats the radius but we must remember radius is just half of the diameter so since we are given diameter we will just do diameter divided by 2 so 12 ÷ 2 = 6 now that we have are radius we square it thats just a fancy way of saying multiply by itself so 6 x 6 = 36 now we multiply 36 with 3.14 So

3.14 x 36 = 113.04 So c is our answer!

Answer:

the one with the most parts citric acid

Step-by-step explanation:

no tables were provided but if a cup is 3/4 water and 1/4 citric acid and the other is 1/4 water and 3/4 citric acid then it's the second one. Basically it the one with the most citric acid.

Answer:

Lol

Step-by-step explanation:

Answer:

-1.8, -2.1, -2.5, -2.7

hope it helps.

Answer:

16-11-13-5-10 => P-K-M-E-J

2-15-18 => B-O-R

13-23 = > M-W

8-11-17 => H-K-Q

11-12 => K-L

22-11-12-19 => V-K-L-S

Step-by-step explanation:

Given

See attachment for code key

Required

Decode

16-11-13-5-10

2-15-18

13-23

8-11-17

11-12

22-11-12-19

From the code key, we can see that each number represent the alphabet at that position;

To do this, we simply replace each number with the alphabet they represent.

So, we have:

16-11-13-5-10 => P-K-M-E-J

2-15-18 => B-O-R

13-23 = > M-W

8-11-17 => H-K-Q

11-12 => K-L

22-11-12-19 => V-K-L-S

Answer:

do you just need the letters or... cuz the letters dont spell anything

Step-by-step explanation:

Answer:

2/15

Step-by-step explanation:

find a common denominator:

3, 6, 9, 12, 15

5, 10, 15

the common denominator is 15.

add by how many times you added 3 and 5.

3+4=7/15

do the same with 5 and subtract the answers:

7/15-5/15= 2/15

Answer:

2/15

Step-by-step explanation:

Answer:

Opaque

Step-by-step explanation:

Translucent materials, like greaseproof paper and frosted glass, let some but not all light through. They scatter or diffuse the light. Most materials do not allow light through at all and these are called opaque. (The second question is light)

Answer:

opaque, Radiant

Step-by-step explanation:

Opaque can not be seen through and radiant is an energy that can travel through space.

Answer:

- 3+2x/x-3

Step-by-step explanation:

Answer: 6.3

c^2 = a^2 + b^2

c^2 = 2^2 + 6^2

c^2 = 4 + 36

c^2 = 40

c = 6.32455532

Answer:

2m = x

x being the number of tables

Step-by-step explanation:

2 tables = 1 minute

x tables = m

(cross multiply)

2m = x

x being the number of tables

Answer:

Sphere = 113.1

Triangular prism = 30

Rectangular prism = 726

Cone = 452.39

Step-by-step explanation:

have a nice day!

Answer:

price of an adult ticket = a = $7

price of a student ticket = s = $6

Step-by-step explanation:

price of an adult ticket = a

price of a student ticket = s

7a + 7s = 91 (1)

14a + 12s = 170 (2)

Multiply (1) by 2

7a + 7s = 91 (1) × 2

14a + 14s = 182 (3)

14a + 12s = 170 (2)

Subtract (2) from (3) to eliminate x

14s - 12s = 182 - 170

2s = 12

s = 12/2

s = 6

Substitute s = 6 into (1)

7a + 7s = 91 (1)

7a + 7(6) = 91

7a + 42 = 91

7a = 91 - 42

7a = 49

a = 49/7

a = 7

price of an adult ticket = a = $7

price of a student ticket = s = $6

Answer:

28

Step-by-step explanation:

Answer:

The tree is about 62ft tall

Step-by-step explanation:

sin(62)=x/70

70sin(62)=x

61.8=x

A truth table is a way of organizing information to list out all possible scenarios. We title the first column p for proposition. In the second column we apply the operator to p, in this case it's ~p (read: not p). So as you can see if our premise begins as True and we negate it, we obtain False, and vice versa.

Answer:

2/12

Step-by-step explanation:

4w=2/3

1/4(4w)=1/4 x 2/3

w=2/12

Answer: n=5

have an amazing day <3

Answer:

D

Step-by-step explanation:

Answer.

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Gradient/ slope = [tex]\frac{-8-7}{ 5-2}[/tex](change in y/ change in x)

= [tex]\frac{-15}{3} = -5[/tex]

Answer:

200

Step-by-step explanation:

Step 1: If 2% of a number is 4, then what is 100% of that number? Setup the equation.

4

2%=Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get:

2Y = 4 x 100

2Y = 400

Y = 400

100 = 200

Answer:

A. X=3

B. X=19/5

That the answer for your question.

Step-by-step explanation: Hope this help :D

Answer:

The area of each semicircle is (1/2)25(pi) for a total of 25pi.

Let the speed of the first plane be x then the speed of the second plane would be x + 30

The combined speed is x + x + 30 = 2x + 30

2x + 30 = 380

Subtract 30 from both sides

2x = 350

Divide both sides by 2

X = 175

The speed of the first plane was 175 miles per hour the speed of the second plane was 205 hour