Given the equation (X - 6)^2 = y + 7, find the vertex.

Answer:

D.  17.

Step-by-step explanation:

The nth term of an arithmetic sequence (an) is a1 + d(n - 1) where a1 = first term and d = the common difference.

In this sequence d = a2 - a1 = 5 - 2 = 3.

a6 = 2 + 3(6 - 1)

= 2 + 3*5

= 17.

Answer:

Step-by-step explanation:

probably 17

Answer:

123.5 square inches

Step-by-step explanation:

Given: To find the area of a rectangle, you have to multiply base times height.

To find the area of a triangle, you have to do base times height devided by 2.

Finding the area: Let's break up this shape into polygons. At the bottom there is a rectangle. We know that to find the area of the rectangle you have to do base times height. 13in•7in will give you 91in square for the rectangle.

Now for the triangle. If you can see, if you break the triangle in half, there are 2 right triangles. Let's look at the right one for now. Since we know that to find the area of a triangle you have to do base times height divided by 2,  you do 5in•6.5in=32.5in. 32.5in divided by 2 is 16.25in square which is the area of one triangle. You might be wondering why i did 5•6.5, and that's because at the bottom of the rectangle you can see it's 13in, and 13in÷2=6.5in.

We already found the area of the rectangle and one triangle. The other triangle is equal to it so we can just do 16.25+16.25=32.5in square for both of the triangles.

Now we add it all up: 32.5+91=123.5 square inches

Answer:

13) >

14)=

15)>

16)=

17)>

18)<

Step-by-step explanation:

Answer: You would need 512 cubic centimetres

Step-by-step explanation: The first approach to this question would be to understand the properties of the shape given in the question.

If a cube has an edge with length 8 cm, then all edges measure 8 cm as well. That is one property of a cube. Hence, the length, width and height all measure 8 cm each.

The volume of a cube is given as follows;

V = L x W x H (and the answer is expressed as V³)

Since the length , width and height all measure 8 cm, the volume can simply be expressed as

V = L x L x L

V = L³

V = 8³

V = 512 cm³

Therefore to completely fill a cube with edge length of 8 cm you would need 512 cubic centimetres.

Answer:

Rhombus

I hope I helped!!!

Please make me brainliest

Answer:

6  inches

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

30 = 1/2 (10) h

30 = 5h

Divide each side by 5

30/5 = 5h/5

6 = h

Answer:

Step-by-step explanation:

we know area of a triangle = 1/2 * base * height

1/2*10* height = 30

5* height =30

height = 30/5 = 6inches

hope it helps

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

hopefully this helps

Answer:

New CP = Rs 387.5

Step-by-step explanation:

Cost Price = Rs. 500

Loss %age = 10% of 500

So, Loss = Rs 50

Finding the selling price:

Selling Price = CP - Loss

SP = 500 - 50

SP = Rs 450

Now, The fruit seller wants to gain a profit of 12.5% without changing the selling Price:

Firstly, Let's talk about the Profit :

Profit %age = 12.5% of 500

Profit = 12.5 * 5

Profit = Rs 62.5

He wants to gain a profit of Rs 62.5

So, The cost Price

The cost price would be reduced by Rs 62.5

New CP = 450 - 62.5

New CP = Rs 387.5

Answer:

A = 6

Step-by-step explanation:

to find a, divide 90 by 15

90 / 15 = 6

Answer:

rational numbers set

Step-by-step explanation:

rational numbers are fractions and 2 1/3 = 7/3

Answer:

5

Step-by-step explanation:

According to PEMDAS the answer is five.

2x3+12-13

6+12-13

18-13

5

Answer:

f1 =7

f2 = 5(7) + 2 = 37

f3 = 5(37) + 2 = ?

f4 = 5(?) + 2 = ____

914

hopefully this makes sense

Answer:

See below in bold.

Step-by-step explanation:

h = -16t^2 + 120t + 10

To find the  height and time for maximum we convert to vertex form:

h = -16(t^2 - 7.5t) + 10

h = -16 [(t - 3.75)^2 - 14.0625] + 10

h = -16(t - 3.75)^2 + 225 + 10

h = -16(t - 3.75)^2 + 235

So the time to reach maximum height is 3.75 seconds and the maximum height = 235 ft.

Answer:

Step-by-step explanation:

20% of $30 = 40% of x

0.20 * 30 = 0.40 * x

[tex]\frac{0.2}{0.4}*30=x\\[/tex]

x = 15

Answer:

3

Step-by-step explanation:

[tex]\frac{h^{2}-1 }{h+3}[/tex]=

[tex]\frac{5^{2}-1 }{5+3}[/tex]=

[tex]\frac{25-1}{8}[/tex]=

[tex]\frac{24}{8}[/tex]=

3

Answer:

D

Step-by-step explanation:

[tex]\frac{2}{3.5}[/tex]

Which is about .57

Step-by-step explanation:

Vertical angles are always equal

4+6x= 70°

6x =70-4 = 66°

x= 11°

We know the angles have a vertical angle and we know that vertices angle are Intercept lines.

Let's set up the equation.

[tex]4+6x=70[/tex]

We will subtract 4 from both sides and get

[tex]6x=66[/tex]

Divide by 6 on both sides

[tex]x=11[/tex]

Answer:

I. x=y-7

6

Step-by-step explanation:

y=6x-7

6x-7=y

6x=y-7

6x=y-7

6. 6

x=y-7

6

Answer:

x = [tex]\frac{8y-7}{3y-6}[/tex]

Step-by-step explanation:

Given

y = [tex]\frac{6x-7}{3x-8}[/tex] ( multiply both sides by 3x - 8 )

y(3x - 8) = 6x - 7 ← distribute left side

3xy - 8y = 6x - 7 ( subtract 6x from both sides )

3xy - 6x - 8y = - 7 ( add 8y to both sides )

3xy - 6x = 8y - 7 ← factor out x from each term on the left

x(3y - 6) = 8y - 7 ← divide both sides by (3y - 6)

x = [tex]\frac{8y-7}{3y-6}[/tex]

Answer:

C is correct

Step-by-step explanation:

1 and 2 add up to 90,

so does 3 and 4

Answer:

608,000

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The constant is the term without the variable

5x+3y=15

15 is the constant

The setup for this problem is written as l(x,y)= f(x,y)+λg(x,y)

For example, a common economic problem is the consumer choice decision. Households are selecting consumption of various goods. However, consumers are not allowed to spend more than their income (otherwise they would buy infinite amounts of everything!!). Let’s set up the consumer’s problem:

Suppose that consumers are choosing between Apples (A) and Bananas (B). We have a utility function that describes levels of utility for every combination of Apples and Bananas.

11

A 2 B 2 = Well being from consuming (A) Apples and (B) Bananas.

Next, we need a set of prices. Suppose that Apples cost $4 apiece and Bananas cost $2 apiece. Further, assume that this consumer has $120 available to spend. The income constraint is

$2B+$4A≤$120

However, the problem requires that the constraint is in the form g(x, y)≥ 0. In

the above expression, subtract $2B and $4A from both sides. Now we have 0≤$120−$2B−$4A

g(A, B) Now, we can write out the lagrangian

11

l(A,B)= A2 B2 +λ(120−2B−4A)

f (A, B) g(A, B)

Step II: Take the partial derivative with respect to each variable We have a function of two variables that we wish to maximize.

Therefore, there will be two first-order conditions (two partial derivatives that are set equal to zero).

To know more about function follow

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Answer:

D

Step-by-step explanation:

($1238-$1039)×12=$2388

Answer:

Step-by-step explanation:

x = 8.4/-2.4 = -84/24 = -3.5

The value of x in the equation is -3.5.

Division is the process of parting a number into equal parts using another number. The sign used to denote division is ÷.

In order to determine the value of x, divide 8.4 by -2.4

x = 8.4 / -3.5 = -3.5

To learn more about division, please check: https://brainly.com/question/13281206

Answer:

x = 116° , y = 20°

Step-by-step explanation:

The angles are x = 116° & y = 20°

When two angles are subtended by the same arc, the angle at the centre of a circle is twice the angle at the circumference i.e ∠O=2∠A

let the Points on the circumference be A,B,C then we have two traingles namely ΔABC & ΔOBC.

Given here ∠A=58°

therefore, by the circle theorem we get ∠O=116°

Again in  ΔOBC it is a isosceles triangle with its two sides equal to the radius of the circle, so ∠OBC = ∠OCB

∠OCB +∠OBC+∠BOC=180°

2 ∠OBC=180°-116°

2 ∠OBC=64°

∠OBC=32°

Again, in  ΔABC ∠C = 32° + 38° = 70°  & ∠B= y +32°

therefore, y + 32° + 70° + 58° = 180°

                                             y= 20°

Hence, the angles are  x = 116° & y = 20°

Learn more about the circle theorem:

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Answer:

List of expenses is attached below.

Total Income = $160 + $6245 = $6405

As mortgage payment has increased, we replace $1580 with $1632 in the table

Replace student loans with roof expense, we replace $544 with $500 in the table.

Find Total Expenses by adding all the values from the table.

Total Expenses = $6660.17

Total Income  =$6405

They have a deficit

Deficit = $6660.17 - $6405 = $255.17

Deficit = $255.17

Savings = 10% of income = 10% OF $6405

Savings = (10/100)· $6405 = $640.5

New total expenses = $6660.17 - $640.5

New total expenses = $6019.67

Balance = Total income - New total expenses = $6405 - $6019.67

Balance = $295.33

Yes, they had to remove the savings to fulfill their expenditures. Otherwise, they would have been spending more than their income, which couldn't last very long

Answer:

35.00

Step-by-step explanation:

4a+8p=220

2a+5p=130

if we want to add them we must multiply the 2nd equation by -2

4a+8=220

-4a-10p=-260

0=20

after plugging 20 in, the apples should cost 15

15+20=35

Answer:

hello! the answer is 2.5 hours :)

Answer:

the answer is 2.5 hours

Step-by-step explanation:

Answer:

If you know the base and area of the triangle, you can divide the base by 2, then divide that by the area to find the height. To find the height of an equilateral triangle, use the Pythagorean Theorem, a^2 + b^2 = c^2.