what is an equation of the line that is perpendicular to y-3 =-4(x+2)​

Answer:

f(x)-g(x)= 4x²-3x-10

Step-by-step explanation:

(6x²-9x-17) - (2x²-6x-7)

use distributive property

6x²-9x-17-2x²+6x+7

combine like terms

4x²-3x-10

Answer:

x = 7

Step-by-step explanation:

The triangles are similar, and they have a scale factor of 1/7 because 14 / 7 = 2.

Following the scale factor, you divide 49 by 7 to get 7.

The value of x in the second triangle is 7.

To determine the value of x in the diagram, we need to use the concept of similar triangles.

Two triangles are similar if their corresponding angles are equal and their sides are in proportion.

In this case, we have two triangles:

Triangle with sides 14 and 49.

Triangle with sides 2 and x.

Since both triangles are similar, we can set up a proportion using their corresponding sides:

(14 / 2) = (49 / x)

Now, we can solve for x:

(14 / 2) = (49 / x)

7 = 49 / x

To solve for x, we can multiply both sides of the equation by x:

7x = 49

Now, divide both sides by 7 to isolate x:

x = 49 / 7

x = 7

So, the value of x in the second triangle is 7.

for such more question on triangle

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Answer:

The answer to this problem is 32

Step-by-step explanation:

How to get this answer is u divide the base by the area of meters. so 276/12=32. Hope this helps and i hope its right!

Enjoy Brainly,

Homepage10

Put it into a calculator. The method is correct. The answer is 23

The mode is the most frequently occurring number in a data set. In this case, there doesn't appear to be a mode, as each number only appears once.

To find the mode, we need to identify which age appears most frequently in the dataset. Given the data you provided - 28 years old, 48 years old, 55 years old, 64 years old - it seems every age only appears once and none of them repeat. Hence, in this case, we can not find a mode because there are no repeating numbers.

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Answer:

Which equations are true?

There is more than one correct answer choice. Select all that apply.

4⋅5m+4⋅7=20m+47

14+21w=7(2+3w)

49r+35=7(7r+35)

9(8h−3)=72h−27

5⋅2+5⋅3t=10+15t

3⋅6f+3⋅11=18f−33

Step-by-step explanation:

Once you expand the brackets on the left hand side you should get get the answers on the right hand side

Answer:

2 1/3 - -3 1/4 = 2 1/3 + 3 1/4 = 5 7/12

-1.25*-3 1/4 = 4.0625

Step-by-step explanation:

The greatest difference will be two numbers which subtracted give the largest value.

2 1/3 - -3 1/4 = 2 1/3 + 3 1/4 = 5 7/12

This is the greatest value because it is the greatest number and the least number.

The greatest product will be -1.25 and -3 1/4 since both numbers are negative they give a positive solution.

-1.25*-3 1/4 = 4.0625

The overall temperature would be 3.6°F as this is how much it was changed by

Answer=3.6°F

Answer:  3, -3, 3i, -3i

Step-by-step explanation:

[tex]x^4-81=0\\\\Factor:\\(x^2-9)(x^2+9)=0\\(x-3)(x+3)(x^2+9)=0\\\\\text{Apply the Zero Product Property:}\\x-3=0\qquad x+3=0\qquad x^2+9=0\\\boxed{x=3}\qquad \qquad \boxed{x=-3}\qquad \quad x^2=-9\\.\qquad \qquad \qquad \qquad \qquad \qquad x=\sqrt{-9}\\.\qquad \qquad \qquad \qquad \qquad \qquad \boxed{x=\pm 3i}[/tex]

Answer:

The inverse function is f(x) = (x + 7)/2

Step-by-step explanation:

To find the inverse of any function, start by switching the x and f(x) values.

f(x) = 2x -7

x = 2f(x) - 7

Now solve for the new f(x). The result will be your inverse function.

x = 2f(x) - 7

x + 7 = 2f(x)

(x + 7)/2 = f(x)

The inverse of Y = 2x - 7 can be found by swapping the x and y variables and then solving for y, which gives the inverse function y = (x + 7) / 2.

To find the inverse of the function Y = 2x - 7, you can follow these steps:

So, the inverse of Y = 2x - 7 is y = (x + 7) / 2.

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Answer:

Part a) The scale of the new blueprint is [tex]\frac{5}{8} \frac{in}{ft}[/tex]    

Part b) The width of the living room in the new blueprint is [tex]9.4\ in[/tex]

Step-by-step explanation:

we know that

The scale of the original blueprint is

[tex]\frac{2}{5}\frac{in}{ft}[/tex]

and

the width of the living room on the original blueprint is 6 inches

so

Find the actual width of the living room, using proportion

[tex]\frac{2}{5}\frac{in}{ft}=\frac{6}{x}\frac{in}{ft}\\ \\x=5*6/2\\ \\x=15\ ft[/tex]

Find the actual length of the living room, using proportion

[tex]\frac{2}{5}\frac{in}{ft}=\frac{9.6}{x}\frac{in}{ft}\\ \\x=5*9.6/2\\ \\x=24\ ft[/tex]

Find the scale of the new blueprint, divide the length of the living room on the new blueprint by the actual length of the living room

[tex]\frac{15}{24} \frac{in}{ft}[/tex]

simplify  

[tex]\frac{5}{8} \frac{in}{ft}[/tex]      

Find the width of the living room in the new blueprint, using proportion

[tex]\frac{5}{8}\frac{in}{ft}=\frac{x}{15}\frac{in}{ft}\\ \\x=15*5/8\\ \\x=9.4\ in[/tex]

Final answer:

The scale of the new blueprint is 1.5625, and the width of the new blueprint is 9.375 inches.

Explanation:

The original blueprint of the Moreno’s’ living room has a scale of 2 inches= 5 feet.

The family wants to use a new blueprint that shows the length of the living room to be 15 inches. If the width of the living room on the original blueprint is 6 inches and the length is 9.6 inches, what are the scale and the width of the new blueprint.

Calculate the scale using the original blueprint scale and the new length provided:

Scale = (New Length)/(Original Length) = 15/9.6 = 1.5625.

Calculate the width of the new blueprint using the original width and the scale:

Width of new blueprint = (Original Width) * (Scale) = 6 * 1.5625 = 9.375 inches.

Answer:

We can say that the graph g(x) is obtained by shifting the grapf f(x) by 2 units up.

Step-by-step explanation:

[tex]f(x) = 2^x[/tex]

[tex]g(x) = f(x) + k[/tex]

Rule : f(x)→f(x)+k

graph f(x) shifts upward by k units

Since we are given that [tex]g(x) = f(x) + k[/tex]

So, this means when graph f(x) shifts upward by k units then g(x) is obtained

We are given that k = 2

So, when graph f(x) shifts upward by 2 units then g(x) is obtained .

Thus we can say that the graph g(x) is obtained by shifting the grapf f(x) by 2 units up.

Answer:

8^4

Step-by-step explanation:

Here we have:

8^6 · 8³

-------------

   8^5

That's multiplication in the numerator.  The appropriate rule of exponents states that:

8^a·8^b = 8^(a+b), so the numerator is equivalent to 8^(6 + 3) = 8^9.

Now we have

8^9

------

8^5

and the appropriate rule for division here is

8^a / 8^b = 8^(a - b)

So our:

 8^9

---------  8^(9-5) = 8^4

  8^5

Answer:

f(x) = x + 8

Step-by-step explanation:

this is the answer because the equation is y = mx + k. In this formula the k value represents the number of times the graph goes up and down. When a graph moves up 8 units. The k value becomes +8. Hence the answer is y = x + 8.

Answer:

your answer would be A. Brown v. Board of Education

Step-by-step explanation:

Answer:

The correct answer is the option A: Brown v. Board of Education.

Step-by-step explanation:

Brown v. Board of Education was a landmark decision by the Supreme Court of the United States in the year 1954, whose main purpose was to prohibited state laws, that were in favor of the racial segregation of schools, declaring them unconstitutional, due to the fact that these segregated schools violated the ''Equal Protection Clause'' of the Fourteenth Amendment of the United States' Constitution.

It all began in 1951 when the Brown family wanted to take her daughter to a school near their home, but the board education of the school refused and said that they must take her to a segregated black elementary school further away. Then, the family and other twelve families in similar situations initiated a class action lawsuit in U. S. federal court against the school's board of education located in Topeka, Kansas.

Answer: 919

Step-by-step explanation: I set up a cross multiplication equation. I set 55 over 100 equal to 505.45 over X. I cross multiplied and did 505.45 times 100, which is 50,545. I then did 50,545 divided by 55 to get the answer of 919.

B. the answer would be hyperbola

Answer:

Option 2 - Hyperbola

Step-by-step explanation:

Given : The polar equation [tex]r=\frac{1}{4-6\cos\theta}[/tex]

To find : What conic section is represented by the polar equation?

Solution :

To find the conic section first we convert the polar into Cartesian equation    

We know,  [tex]r=\sqrt{x^2+y^2}[/tex] and [tex]x=r\cos\theta[/tex]              

[tex]r=\frac{1}{4-6\cos\theta}[/tex]

[tex]4r-6r\cos\theta=1[/tex]      

Substitute the value of r,

[tex]4(\sqrt{x^2+y^2})-6x=1[/tex]      

[tex]4\sqrt{x^2+y^2}=1+6x[/tex]        

Squaring both side,

[tex]16(x^2+y^2)=(1+6x)^2[/tex]      

[tex]16x^2+16y^2=1+36x^2+12x[/tex]      

[tex]16y^2=20x^2+12x+1[/tex]      

Applying completing the square we get,

[tex]16y^2=20(x+\frac{3}{10})^2-\frac{4}{5}[/tex]

[tex]16y^2-20(x+\frac{3}{10})^2=-\frac{4}{5}[/tex]

[tex]\frac{16y^2}{-\frac{4}{5}}-{20(x+\frac{3}{10})^2}{-\frac{4}{5}}=1[/tex]

[tex]-\frac{y^2}{\frac{1}{4}}+{(x+\frac{3}{10})^2}{\frac{1}{25}}=1[/tex]

[tex]{(x+\frac{3}{10})^2}{\frac{1}{25}}-\frac{y^2}{\frac{1}{4}}=1[/tex]

This is in the form of hyperbola equation i.e. [tex]\frac{x^2}{a^2}-\frac{y^2}{b^2} =1[/tex]

Therefore, The given conic section is a hyperbola.

Hence, Option 2 is correct.

X= 9/2

X= 4.5

X= 4 1/2

Answer: 9/2

Step-by-step explanation:

1.Break down the problem into these 2 equations.

x+4=3x−5

−(x+4)=3x−5

2. Solve the 1st equation: x+4=3x−5.

x=9/2

3. Solve the 2nd equation: −(x+4)=3x−5

x=1/4

4. Collect all solutions.

x=1/4,9/2

5. Check solution

When x=1/4​​, the original equation ∣x+4∣=3x−5 does not hold true.

We will drop x=1/4​​ from the solution set.

6. Therefore,

x=9/2

Answer:

Step-by-step explanation:

[tex]8=2\cdot2\cdot2=2^3\\\\\text{It's a perfect cube}[/tex]

[tex]\bf (-3v)^5\implies \stackrel{\textit{distributing the exponent}}{(-3)^5(v)^5}\implies -243v^5[/tex]

To simplify (-3v)^5, raise the absolute value to the power of 5 and keep the negative sign. The simplified expression is -243v^5.

To simplify the expression −3v5, raise the absolute value of -3v to the power of 5 and keep the negative sign. Since v is a variable, we cannot simplify it further.

The simplified expression is:

−35v5 = −243v5

Answer:

x             y

0             5

1              10

2              20

Step-by-step explanation:

Given the equation:  y = 5(2)       .....[1]

Here, x is the input variable and y is the output variable.

For x =0

Substitute in equation [1]; we have;

y = 5(2) = 5 x 1 = 5

For x = 1

Substitute in equation [1]; we have;

y = 5(2)*1  = 5 x 2= 10

For x =2

Substitute in equation [1]; we have;

y = 5(2)*2 = 5 x 4 = 20

Therefore, the table values which is correct for the equation   is;

x             y

0             5

1              10

2              20

Answer:  The correct option is (C) $342.

Step-by-step explanation:  Given that Mr. Williams is building a sand box for his children and is costs $228 for the sand if he builds a rectangular-sand box with dimensions 9 ft by 6 ft.

We are to find the cost of the sand if he decides to increase the size to [tex]13\frac{1}{2}~\textup{ft by }9~\textup{ft}.[/tex]

Since the box is empty from inside, so we will be considering the perimeter of the box, not area.

The perimeter of the rectangular-sand box with dimensions 9 ft by 6 ft is

[tex]P_1=2(9+6)=30~\textup{ft},[/tex]

and the perimeter of the rectangular-sand box with dimensions [tex]13\frac{1}{2}~\textup{ft by }9~\textup{ft}.[/tex] is

[tex]P_2=2\left(13\dfrac{1}{2}\times9\right)=2(13.5\times9)=45~\textup{ft}.[/tex]

Now, we will be using the UNITARY method.

Cost of sand for building rectangular-sand box with perimeter 30ft = $228.

So, cost of  sand for building rectangular-sand box with perimeter 1 ft will be

[tex]\$\dfrac{228}{30}.[/tex]

Therefore, the cost of sand for building rectangular-sand box with perimeter 45 ft is given by

[tex]\$\dfrac{228}{30}\times45=\$342.[/tex]

Thus, the required cost of the sand is $342.

Option (C) is CORRECT.

Answer:

A. $513

Step-by-step explanation:

Find the area of the boxes by multiplying the sides.

The first box is 54 ft sq.

The second box is 121.5 ft sq.

So

[tex]\\\frac{54}{121.5} =\frac{228}{x}[/tex]

cross mult.

27702 = 54x

513 = x

Answer:

18

Step-by-step explanation:

Remark

This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't

However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.

Solution

Let the width = x

Let the length = x + 5

Area of the rectangle: L * w = x * (x + 5)

Area of the smaller squares (there are 2)

Area = 2*s^2

x = s

Area = 2 * x^2

Area of the larger squares = 2 * (x+5)^2

Total Area

x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120                 Expand

x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120     Remove the brackets

x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120      collect the like terms on the left

5x^2 + 25x +  50 = 120                                   Subtract 120 from both sides.

5x^2 + 25x - 70 = 0                                         Divide through by 5

x^2 + 5x - 14 = 0                                               Factor

(x + 7)(x - 2) = 0                                                 x + 7 has no meaning  

x - 2 =  0

x = 2                                                              

Perimeter

P = 2*w + 2*L

w = 2

L = 2 + 5

L = 7

P = 2*2 + 2 * 7

P = 4 + 14

P = 18

Answer: 84

Simplify it to 14x6

Answer:

manger b gets mor money

pleaee give branly

Step-by-step explanation:

Answer:B

Step-by-step explanation:

The answer to your question is 82%

The stadium is 87% filled with 13,920 people attending out of a maximum capacity of 16,000 seats.

To find out what percentage of the stadium's capacity is filled, we can use the formula: (Number of people in the stadium / Capacity of the stadium) × 100%. In this case, the stadium currently has 13,920 people and its capacity is 16,000 seats. We calculate the percentage like this:

(13,920 / 16,000) × 100% = 0.87 × 100% = 87%

Therefore, 87% of the stadium's capacity is filled.

Answer:

a = 15

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

a +25+140 = 180

Combine like terms

a +165 = 180

Subtract 165 from each side

a+165-165 = 180-165

a = 15

Answer:

15 degrees

Step-by-step explanation:

In order to have a triangle, all the angles must add up to 180. Since we already have 2 or the three angles, we just add the two angles we have and subtract by 180 (working backwards!). 140 + 25 is equal to 165, and 180 - 165 is 15. Thus, 15 must be your answer.

Answer: --42

Step-by-step explanation:

All that you have to do in this equation is substitute the value of x given with the x's in the expression. SO...

Expression: -4(5x+2) - 6(x-3)

Substitute: -4(5(2)+2) - 6((2)-3)

Solve: -4(10+2) - 6(-1)

-4(12) - 6(-1)

-48 +6

Answer: -42

Hope this helps!

Answer:

What is the simplified expression?

✔ –26x + 10

What is the value for both expressions when x = 2

✔ –42

Step-by-step explanation:

I just got it correct

u don't multiple u divide 3 and u do the same for 9 divide it by 3

Answer:

31.702 inches (C)

Step-by-step explanation:

Here we need to calculate the circumference of the bike tire.  

The formula for Circumference is C = πd, where d is the diameter.

Here, C = π(26 in), or 26π in.  Every time the wheel rotates, the bike covers  26π in.  If one tire completed 388 full rotations, then the distance Marc traveled was (26π inches/rotation)(388 rotations), or, to the nearest inch,

31,692 inches.  This corresponds to (C) of the given possible answer choices.

Answer:

c.) on edg.

Step-by-step explanation:

Yes! This is true. line segment LM is dilated to create L'M' using point Q as the center of dilation and a scale factor of 2

This can be confirmed by the concept of similar triangles. The proportions of the sides are used to confirm this

The proportion used is: LQ / L'Q = 4 / (4 + 4 ) = 1/2

The scale factor is 2.

Hence L'M' / LM = 2