How do I simplify (5i) square

See picture reply for solution steps.

Final answer:

The vertex of the function f(x) = 3(x − 1)² + 2 is (1, 2), the domain is all real numbers, and the range is y ≥ 2, Option A is correct in the given options.

Explanation:

The vertex of the function f(x) = 3(x − 1)² + 2 is (1, 2), because the vertex form of a quadratic function is given by f(x) = a(x − h)² + k, where (h, k) is the vertex. In this case, a = 3, h = 1, and k = 2. The domain of the function is all real numbers, because there are no restrictions on x. The range of the function is y ≥ 2, because the minimum value of the function is 2 (occurring at the vertex) and y can be any value greater than or equal to 2.

ANSWER: 1, 16, 100 are perfect squares.

STEP-BY-STEP EXPLANATION:

A perfect square is a number that can be expressed as the product of two equal integers.

1 x 1 = 1

4 x 4 = 16

10 x 10 = 100

Answer:

1, 16, 100 (a, c, h)

please mark brainliest

Answer:

it 1/4

Step-by-step explanation:

i did the other anwser and it anwsered after i got it wrong

answer

75

Step-by-step explanation:

x over 5 = 15 is 75

this meanstitute x with 75 is a equation she's both sides equal we can conclude that x = 75 is the correct solution to the equation x over 5=15

Answer:-3(6-r)=6

-18+3r=6

3r=6+18

3r=24

r=24/3

r=8

Step-by-step explanation:

Answer:

2 1/4 - 3 = -3/4 can be a simple equation.

Answer: 3/10

Step-by-step explanation:

3/10 • 100 = 30%

{x < 74; x ∈ R}

Solution:

Given verbal expression is all real numbers less than 74.

R represents the set of all real numbers.

To write the verbal expression into inequality.

Let us assume that the set of all real numbers which is less than 74 are x.

So, all real numbers less than 74 means x < 74 and

x belongs to real numbers.

Therefore, the inequality is {x < 74; x ∈ R}.

Answer:

50

Step-by-step explanation:

Answer:

My Answer Is ALWAYS.

Why I Think So:

It's Because As You Said...They Have Obtuse Angle, Which Can Never Change.

Obtuse triangles are sometimes similar if they have congruent angles; however, simply being obtuse does not guarantee similarity. The angles must match exactly among the triangles for them to be considered similar.

Two obtuse triangles are sometimes similar but not always.

For two triangles to be similar, they must have exactly the same angle measurements, although the side lengths can differ by a consistent ratio.

In the case of obtuse triangles, they will be similar if they have one obtuse angle that is the same measure in both triangles and their other corresponding angles are also equal.

However, just having obtuse angles is not sufficient for similarity; the angles must be congruent, and in the case of an obtuse triangle, the other two angles must be specifically tailored so that all three angles are congruent to another triangle's angles.

The concept of triangle similarity falls under the Uniqueness of Solutions which denotes that a triangle is determined by three known elements, but these do not always provide a unique solution.

While often seen in the context of right triangles, such as when applying the Pythagorean Theorem, for obtuse triangles, similarity is determined by angle congruence rather than side lengths.

This implies that if two obtuse triangles have all three angles congruent, they are similar by definition. If not, they are not similar

Answer:

100n+50

Step-by-step explanation:

the dentist charges $100 dollars per cavity found. Per indicates multiplication. Since there is an additional fee, we add $50 to the $100n, which will make the expression

$100n+50

the answer is the that 80-89 is the longer

Step-by-step explanation:

The answer choice that matches the histogram drawn is option C.

A histogram is used to represent data graphically. The histogram has a y-axis which shows the frequency and an x - axis which shows the class interval. The correct option should match the information provided in the frequency table.

In this case, we have 5 intervals, that means the histogram must have 5 bars, where their height represents the frequency.

Having said that, the first bar must have a height of 4 units, the second one of 9 units, the third one of 5 units, the fourth one of 8 units and the fifth a height of 4 units.

Therefore, the right answer is C., because that's the histogram with the described heights.

To learn more about histograms, please check: brainly.com/question/14473126

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2x + 5y = -15 is the standard form of equation

Solution:

Given that,

The point slope form of the equation of the line that passes through (-5, -1) and (10, -7) is given by:

[tex]y + 7 = \frac{-2}{5}(x-10)[/tex]

We have to write the standard form of the equation

The standard form of an equation is Ax + By = C

In this kind of equation, x and y are variables and A, B, and C are integers

Let us convert the given equation into standard form

[tex]y + 7 = \frac{-2}{5}(x-10)\\\\\text{Simplify the right hand side of equation }\\\\y + 7 = \frac{-2x}{5}+\frac{20}{5}\\\\y + 7 = \frac{-2x +20}{5}\\\\5(y+7) = -2x + 20\\\\\text{Simplify the left hand side of equation }\\\\5y + 35 = -2x + 20\\\\\text{Move the variables to left side of equation and constants to right side }\\\\2x + 5y = 20 - 35\\\\2x + 5y = -15[/tex]

Thus the standard form of equation is found

Answer:

-9/2x

Step-by-step explanation:

Answer:

  2 1/3 > 2.3

Step-by-step explanation:

There are a couple of ways you can compare these numbers. One is to convert 2 1/3 to a decimal fraction. It is the repeating decimal ...

  2 1/3 = 2.3333333...

Compared to 2.30, we see that 2 1/3 has a 3 in the hundredths place, where 2.3 has 0. Thus 2 1/3 is greater than 2.3.

__

You can convert them both to improper fractions and then to fractions with a common denominator.

  2 1/3 = 7/3 = 70/30

  2.3 = 23/10 = 69/30

  70/30 > 69/30 . . . . so 2 1/3 > 2.3

Step-by-step explanation:

X=ky

2=8k

K=4

X=4y

6=4y

Y=1. 5

Answer:

Step-by-step explanation:

y varies directly as x

y ∞ x

y = kx

and y=8 when x=2

8 = 2(k)

8 = 2k

k = 8/2

k = 4

y = 4x

find y when x=6

y = 4(6)

y = 24

Maria needs to purchase three gallons of paint to cover her room walls with two coats, as calculations show she needs slightly more than two gallons.

To calculate how many gallons of paint Maria needs, first determine the total area of the walls. Each rectangular wall is 14 feet by 7 feet, with an area of 98 square feet, and each of the longer walls is 25 feet by 7 feet, with an area of 175 square feet. Thus, there are two of each, resulting in a total area of 2(98) + 2(175) = 546 square feet. Since Maria wants to apply two coats of paint, the total area to be painted doubles to 1,092 square feet. Given that one gallon covers 500 square feet, Maria needs 1,092 / 500 = 2.184 gallons. Therefore, Maria should purchase three gallons of paint to have enough for two coats, since paint is only sold by the gallon.

Answer:

[tex]4.53 \times 10^{- 1}[/tex]

Step-by-step explanation:

We have to divide [tex]1.6 \times 10^{- 10}[/tex] by [tex]3.53 \times 10^{- 10}[/tex] and we have to write the answer in scientific notation.

Now, [tex](1.6 \times 10^{- 10}) \div (3.53 \times 10^{- 10})[/tex]

= [tex](\frac{1.6}{10^{- 10}})\div (\frac{3.53}{10^{- 10}})[/tex] {Since using the property of exponent [tex]x^{- a} = \frac{1}{x^{a} }[/tex] }

= [tex](\frac{1.6}{10^{- 10}}) \times (\frac{10^{- 10}}{3.53} )[/tex]

{Since we know the mathematical operation [tex]\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}[/tex] }

= [tex]\frac{1.6}{3.53}[/tex]

= 0.45325

= [tex]4.53 \times 10^{- 1}[/tex] (Answer) {Rounded the coefficient to two decimal places}

Answer:

x = 1

Explanation:

32=27+5x

32=5x+27

Flip the equation.

5x+27=32

5x+27−27=32−27

5x=5

5x/5 = 5/5

x = 1

Answer:

x=1

Step-by-step explanation:

1) subtract

32-27=27-27 +5x

2) 5 = 5x

3) divide by 5

4) x = 1

The ordered pair is (–1, –2)

Solution:

Given system of linear equations are

4x –7y = 10 – – – – (1)

3x + 2y = –7 – – – – (2)

To solve this by elimination method.

First multiply equation (1) by 3 and then multiply equation (2) by 4.

(1) × 3 ⇒ 12x –21y = 30 – – – – (3)

(2) × 4 ⇒ 12x + 8y = –28 – – – – (4)

Subtract equation (4) from equation (3), we get

⇒ 12x –21y – (12x + 8y) = 30 – (–28)

⇒ 12x –21y – 12x – 8y = 30 + 28

Combine like terms together.

⇒ 12x – 12x –21y  – 8y = 30 + 28

⇒ –29y = 58

Divide both sides by –29, we get

⇒ y = –2

Substitute y = –2 in equation (1), we get

(1) ⇒ 4x –7y = 10

⇒ 4x – 7(–2) = 10

⇒ 4x + 14 = 10

⇒ 4x = 10 – 14

⇒ 4x = –4

Divide both side by 4, we get

⇒ x = –1

Hence the ordered pair for the given system of equations is (–1, –2).

Answer:

No

Step-by-step explanation:

The given number is 1.15. Here, the digits after the decimal are terminating, so the given number is rational, NOT irrational. Thus, 1.15 is NOT an irrational number.

what are you asking

Step-by-step explanation:

Answer:

Option C that is  [tex]x=4,DF=EG=15[/tex]  the right choice.

Step-by-step explanation:

Given,

A rectangle with the measures of its diagonal DF and EG.

Measure of diagonal DF = [tex]5x-5[/tex]

Measure of diagonal EG = [tex]x+11[/tex]

Note:Diagonal length of the rectangle are same.

So DF = EG

[tex]5x-5=x-11[/tex]

Subtracting [tex]x[/tex] and adding [tex]5[/tex] on both sides.

We have,

[tex]5x-x=11+5[/tex]

[tex]4x=16[/tex]

Dividing 4 both sides.

[tex]x=\frac{16}{4}=4[/tex]

So the value of [tex]x[/tex] is [tex]4[/tex].

Now plugging the value of [tex]x=4[/tex],we will find the numeric value of DF and EG.

DF = [tex]5x-5 =5(4)-5=15[/tex]

EG= [tex]x+11=4+11=15[/tex]

Both are equal DF = EG.

So x=[tex]4[/tex] and the length of diagonals are equal, DF = EG = [tex]15[/tex] unit.

Find the domain by finding where the expression is defined.

Interval Notation:

Interval Notation: ( − ∞ , 2 3 ] (-∞,23]

Set-Builder Notation: { x ∣ ∣ ∣ x ≤ 2 3 }

Answer: (-∞ , 2/3)

Step-by-step explanation:

To find the domain of a radical , we will set the function inside the radical greater than or equal to zero , that is

2 - 3x ≥ 0

2  ≥ 3x

2/3  ≥ x

that is : x ≤ 2/3

Also

5 - x  ≥ 0

5  ≥ x

That is : x ≤ 5

Therefore , the domain of the expression  is  x ≤ 2/3 and  x ≤ 5

Answer:

Temperature in Maine = 20

Step-by-step explanation:

22-82 =

60

60/3 =

20

Answer:

5

Step-by-step explanation:

The coefficient is the number that is followed by an exponent. In this expression 5 is followed by x, making it a coefficient.

Final answer:

The coefficient of 5x/6 is the numerical factor 5/6, which is the fraction representing the relationship of numbers in front of the variable 'x'.

Explanation:

The coefficient of the term 5x/6 is the numerical factor that is multiplied by the variable 'x'. In this fraction, the numerator is 5 and the denominator is 6. Therefore, the coefficient of the term is 5/6. It is important to separate the coefficient (the number in front of the variable) from the variable itself when doing mathematical operations like addition, subtraction, or algebraic simplification.

Answer:

Part 1) Is a inconsistent system

Part 2) Is a consistent independent system

Part 3) Is a consistent dependent system

see the attached figure

Step-by-step explanation:

we know that

If a system has at least one solution, it is said to be consistent .  

If a consistent system has exactly one solution, it is independent .  

If a consistent system has an infinite number of solutions, it is dependent

If a system not have solution, it is said to be inconsistent

Part 1) we have

[tex]x+5y=-2\\x+5y=4[/tex]

This system of linear equations has two parallel lines (their slopes are equal) with different y-intercept

so

The lines don't intersect

The system has no solution

therefore

Is a inconsistent system

Part 2) we have

[tex]y=3x+4\\-2x+y=4[/tex]

we know that

If two lines have different slopes, then the lines intersect at one point and the system of equations has one solution

In this problem, the lines have different slopes (m=3 and m=2)

so

The lines intersect at one point

The system has one solution

therefore

Is a consistent independent system

Part 3) we have

[tex]3x+y=4[/tex] ----> equation A

[tex]-6x-2y=-8[/tex] ----> equation B

Multiply equation A by -2 both sides

[tex]-2(3x+y)=-2(4)[/tex]

[tex]-6x-2y=-8[/tex] ----> equation C

Compare equation B and equation C

Are identical lines

so

The system has infinity solutions

therefore

Is a consistent dependent system

Answer:

1) inconsient system

2) consient system

3) consient system

Answer: 2y−8

Step-by-step explanation:

1) Simplify step-by-step.

−2y−8+4y

=−2y+−8+4y

2) Combine Like Terms:

=−2y+−8+4y

=(−2y+4y)+(−8)

=2y+−8

Answer:

both A and B

Step-by-step explanation:

Answer:

The length of the side of an equilateral traingle [tex]s=2\sqrt{2}[/tex] inches

Step-by-step explanation:

Given that the area of an equilateral triangle is given by

[tex]A=3^\frac{1}{2}s^2[/tex]

It can be written as

[tex]a=\frac{\sqrt{3}}{4} s^2[/tex] Square inches        (1)

To find the length of the side s os an equilateral triangle

Given that area of an equilateral triangle is [tex]12^\frac{1}{2}[/tex] square inches

It can be written as

[tex]A=12^\frac{1}{2}[/tex]

[tex]A=\sqrt{12}[/tex] square inches

It can be written as

[tex]A=12^\frac{1}{2}[/tex]

[tex]A=\sqrt{12}[/tex] square inches           (2)

Now comparing equations (1) and (2) we get

[tex]\frac{\sqrt{3}}{4}s^2=\sqrt{12}[/tex]

[tex]\frac{\sqrt{3}}{4}s^2=\sqrt{4\times 3}[/tex]

Dividing by [tex]\frac{\sqrt{3}}{4}[/tex] on both sides we get

[tex]\frac{\frac{\sqrt{3}}{4}s^2}{\frac{\sqrt{3}}{4}}=\frac{2\sqrt{3}}{\frac{\sqrt{3}}{4}}[/tex]

[tex]\frac{\sqrt{3}}{4}s^2\times\frac{4}{\sqrt{3}}=2\sqrt{3}\times\frac{4}{\sqrt{3}}[/tex]

[tex]s^2=8[/tex]

[tex]s=\sqrt{8}[/tex]

Therefore [tex]s=2\sqrt{2}[/tex] inches

Therefore the length of the side of an equilateral traingle [tex]s=2\sqrt{2}[/tex] inches