What is the equation of the line that is parallel to y=x+4 and that passes through (5,–4)?

Surface area of old cube

Side of new cube

Surface area

Difference

Answer:

A)  6(x + y)² = 6x² + 12xy +6y²

B)  12xy +6y²

Step-by-step explanation:

Surface area of a cube = 6s²  (where s is the side length)

Part A

Given:

⇒ Surface area of the original cube = 6x²

If the side length of the cube is increased by y, then:

⇒ Surface area of the new cube = 6(x + y)²

Expand and simplify:

⇒ 6(x + y)²

⇒ 6(x + y)(x + y)

⇒ 6(x² + xy + xy + y²)

⇒ 6x² + 12xy +6y²

Part B

To find the difference between the surface areas of the new and original cubes, subtract the surface area of the original cube from the surface area of the new cube:

⇒ SA of new cube - SA of original cube

⇒ 6x² + 12xy +6y² - 6x²

⇒ 12xy +6y²

Answer:

y = 3x - 5

Step-by-step explanation:

We know that the equation 'y = 3x + ?' intersects the point (1, -2). This means that when x = 1, y = -2 in out equation above. To solve this just plug in the x and y values to get '?'.

[tex]y = 3x + ?\\-2 = 3(1) + ?\\-5 = ?[/tex]

Now that we know '?' is -5, we write it back into slope intercept form, so our final answer is y = 3x - 5

If the function is vertically stretched by a factor of 3, the resulting function will be g(x) = [tex]3(5^{x-2})[/tex]

Given the parent function f(x) = x, if the function is vertically stretched by k units, the resulting function will be g(x) = kx

Given the parent function

f(x) = [tex]5^{x-2}[/tex]

If the function is vertically stretched by a factor of 3, the resulting function will be g(x) = [tex]3(5^{x-2})[/tex]

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Answer:

If a data set has many extremely small data values, than the median will be the same.

The middle number in a given sequence of number, taken as the average of the two middle numbers when the sequence has an even number of numbers.

The median is resistant to change no matter extremely small or large values.

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Answer:

the answer is D

Step-by-step explanation:

the answer is D because the

Answer: d

Step-by-step explanation:

The isosceles triangle theorem states that if two sides of a triangle are congruent then the angles opposite those sides are congruent. The correct answer is option c.

The triangle is having three sides in an isosceles triangle the two opposite sides are equal and the two adjacent angles with similar sides are equal.

The isosceles triangle theorem states that if two sides of a triangle are congruent then the angles opposite those sides are congruent.

Therefore the isosceles triangle theorem states that if two sides of a triangle are congruent then the angles opposite those sides are congruent. The correct answer is option c.

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Answer:

1

Step-by-step explanation:

The value of the output given by the inverse for a given input is the same as the input of the original function that results in the output equal to the given input.

So, 2x + 2 = 4, meaning the answer is 1

The information could he have used to determine this is C. ∠GLI = 2∠GLH.

An angle is formed from the intersection of two lines. The types of angles are acute, obtuse, and scalene.

∠GLI is bisected by LH, hence:

∠GLH = ∠HLI (definition of bisection)

∠GLI = ∠GLH + ∠HLI (angle addition)

∠GLI = 2∠GLH

The information that can be used to determine this is ∠GLI = 2∠GLH.

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Answer: its C

Step-by-step explanation: on edge

Answer:

83.80 = 69 + 4x
x = 3.7
Sarah can use up to 3.7 gigabytes per month to stay within her budget

Step-by-step explanation:

83.80 = 69 + 4x
14.8 = 4x
x = 3.7

The number of gigabytes of data Sarah can use while staying within her budget is 3.7 gigabyte.

Given that, Sarah pays a flat cost of $69 per month and $4 per gigabyte.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of gigabyte be g.

69+4g=83.80

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 4g=83.80-69

⇒ 4g=14.8

⇒ g=14.8/4

⇒ g=3.7 gigabyte

Therefore, the number of gigabytes of data Sarah can use while staying within her budget is 3.7 gigabyte.

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Answer:

4/9 miles

Step-by-step explanation:

                 [tex]\sf Area = \dfrac{2}{3} \ square \ miles\\[/tex]

               [tex]\sf length = 1\dfrac{1}{2}=\dfrac{3}{2} \ miles[/tex]

[tex]\sf Width \ of \ rectangle = \dfrac{Area}{length}[/tex]

                             [tex]\sf = \dfrac{2}{3} \div \ \dfrac{3}{2}\\\\ =\dfrac{2}{3}*\dfrac{2}{3}\\\\ =\dfrac{4}{9} \ miles\\[/tex]

Use KCF method for faction division.

K- Keep the first fraction.

C - Change the division to multiplication.

F - Flip the second fraction.

Answer:

4 ^3sqrt(2)

Step-by-step explanation:

two 2's can come out of the square root and it leaves one left in it and 2x2 is 4 which is on the outside.

Answer:

27

Step-by-step explanation:

When solving complicated equations like this, we need to remember the order of operations (PEMDAS), which is the order that we solve an equation

P arentheses

E xponents

M ultiplication

D ivision

A ddition

S ubtraction

now, here's the thing: we actually to multiplication/division at the same time, and the same thing with addition/subtraction

(as in, adding -4 is the same thing as subtracting 4, so we can't truly make a distinction between the two)

so, when we have multiple instances of multiplication/division , we solve left to right

(and then the same thing for addition/subtraction)

8 × 3 + 70 ÷ 7 - 7

so, we first need to multiply 8 by 3

8 × 3 = 24

next, we move to the right:

and we divide 70 by 7

70 ÷ 7 = 10

let's rewrite our equation:

(24) + (10) - 7

24 + 10 - 7 = 27

so, the answer to this expression is 27

hope this helps!! have a lovely day :)

Answer: [tex]x=65^{\circ}, y=65^{\circ}, z=65^{\circ}[/tex]

Step-by-step explanation:

All radii of a circle are congruent, so by the base angles theorem

Also, angles x and y are inscribed in the same arc, and they are thus congruent, meaning x = 65.

Answer:

Odd is the answer.

Step-by-step explanation:

An even number can be written in the form 2x, where x is an integer.

An odd number can be written in the form 2x + 1, where x is an integer.

So two odd numbers can be represented by 2a +1 and 2b +1, the product would be:

(2a + 1)(2b +1) = 4ab + 2a + 2b + 1 = which can be written as 2(2ab + a +b) + 1, but 2ab +a + b represents some integer, so 2ab + a + b = x.

So (2a + 1)(2b + 1) = 2(2ab + a + b ) + 1 = 2x +1 which is odd.

Answer: 28,278.10

Step-by-step explanation:

[tex]a_{7} =16500(1.08)^7[/tex]

[tex]a_{7} =28278.1[/tex]

Answer: [tex]35^{\circ}[/tex]

Step-by-step explanation:

Angles ACB and DCA add to form angle ACB, which is a right angle, so:

So, [tex]m\angle ACB=6(7)-7=\boxed{35^{\circ}}[/tex]

Answer: Option (4)

Step-by-step explanation:

We know that the radius of the circle is 3.

Using the distance formula, the distance from the given point to the center is

[tex]\sqrt{(\sqrt{6}-0)^{2}+(2-0)^{2}} = \sqrt{10} \neq 3[/tex]

Answer:d

Step-by-step explanation:

90 per cent of the blend is watermelon juice.

Given that, Isabella has a dozen apples of the same size and a dozen watermelons of the same size.

Isabella uses her juicer to extract 15 ounces of watermelon juice from 3 watermelons and 5 ounces of apple juice from 9 apples.

We need to find what per cent of the blend is watermelon juice.

The percentage is a relative value indicating the hundredth part of any quantity. One per cent (symbolized 1%) is the hundredth part; thus, 100 per cent represents the entirety and 200 per cent specifies twice the given quantity.

Given that, she makes a watermelon-apple juice blend from an equal number of watermelons and apples.

So if she takes 9 apples, she can extract 5 ounces of juice.

By taking the same number of watermelons, that is 9 she can extract 15×3=45 ounces of juice.

Per cent of watermelon juice in the blend=45/50 ×100= 90%

Therefore, 90 per cent of the blend is watermelon juice.

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Using proportions, it is found that the amount that netball will receive is of:

B. $240,000

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Due to the ratios, the proportion of funding that is destined to netball is given by:

[tex]p = \frac{2}{5 + 3 + 2} = \frac{2}{10} = 0.2[/tex]

Hence, out of $1.200,000, the amount destined to netball is:

A = 0.2 x $1.200,000 = $240,000.

Which means that option B is correct.

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Answer:

A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct

Got it right one the test! <3

Answer:

cbrt(x+1)-3=y

Step-by-step explanation:

The inverse of a function is when the domain and range are swapped. So to find the inverse simply swap the x and y in the equation and then solve for y.

[tex]y = (x+3)^3-1\\x=(y+3)^3-1\\x+1=(y+3)^3\\\sqrt[3]{x+1}=y+3\\\sqrt[3]{x+1}-3=y[/tex]

Answer:

A) 2

Step-by-step explanation:

Because the slope is negative of line 2 the distance is getting smaller

The ratio of amount spent on advertising to the amount spent on its website in its simplest form is 0.5 : 0.4

Ratio of amount spent on advertising to the amount spent on its website

= £1 : £0.80

= 1 / 0.80

= 0.5 / 0.4

= 0.5 : 0.4

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Answer:

The graph of G(x) is the graph of F(x) stretched vertically and shifted 8 units up.

Answer:

Q(x) is = to 11x² that's my answer

Rational numbers are numbers that can be written in the form of a/b where a and b are integers.

Rational numbers are numbers that can be written in the form of a/b where a and b are integers.

Example: 1/2, 3.5 (which is writable as 7/5), 2(which is writable as 4/2), etc.

Irrational numbers are those real numbers that are not rational numbers.

For example √2, π, √13, etc.

It is an important thing to Know that all natural numbers are integers, and all integers are rational numbers. That means natural numbers are not irrational.

The given statement that any fraction is made up of two natural numbers is a rational number is true.

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Answer:

A

Step-by-step explanation:

The parabola opens to the left, so this eliminates C and D.

Also, the vertex is at (-17, 2), and out of A and B, the only parabola with this vertex is A.