find the value of x in the triangle shown below​

Answer:

x = 1/4 y

Step-by-step explanation:

Step 1: Flip the equation.

4x+4=y+4

Step 2: Add -4 to both sides.

4x+4+−4=y+4+−4

4x=y

Step 3: Divide both sides by 4.

4x/4 = y/4

Therefore, x = 1/4 y

If your looking for what y equals, here you go:

Add -4 to both sides.

y + 4 + −4 = 4x + 4 + −4

y = 4x

Answer:

y = 4x

The equation will be y = 4x. Then the graph is a line that goes through the points (1,4) and (2,8).

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation is given below.

y + 4 = 4(x + 1)

Then we have

y = 4x

If x = 1. Then y will be

y = 4

If x = 2. Then y will be

y = 8

The graph is a line that goes through the points (1,4) and (2,8).

Then the correct option is B.

The graph is given below.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Answer:

We can write:

x + y = -2

xy = -80

We can rewrite the first equation as x = -y - 2 and then plug that into the second equation to get (-y-2) * y = -80 → -y² - 2y = -80 → y² + 2y - 80 = 0 → (y - 8)(y + 10) = 0 → y = 8, -10. Substituting these values into the first equation we get x = -10, 8 so the answer is (x₁, y₁) = (-10, 8) or (x₂, y₂) = (8, -10).

Answer:  A. (72π - 144) mm²

Step-by-step explanation:

[tex]A_{shaded}=A_{circle}-A_{square}\\\\\\A_{circle}=\pi \cdot r^2\\.\qquad \ =\pi \bigg(\dfrac{12\sqrt2}{2}\bigg)^2\\\\.\qquad \ =\pi (6\sqrt2)^2\\.\qquad \ =72\pi\\\\\\A_{square}=side^2\\.\qquad \quad =\dfrac{12\sqrt2}{\sqrt2}^2\\\\.\qquad \quad =12^2\\\\.\qquad \quad =144\\\\\\\large\boxed{A_{shaded}=72\pi-144}[/tex]

The area of shaded region is  (72π – 144) square millimeters.

To understand more, check below explanation.

It is given that,

The diameter of circle is [tex]12\sqrt{2}[/tex] millimeters.

  Since,   radius = diameter/2

So that, radius of circle[tex]=12\sqrt{2}/2=6\sqrt{2}[/tex]

now, we have to find area of circle,

                  [tex]Area=\pi *r^{2} \\\\Area=\pi *(6\sqrt{2} )^{2} \\\\[/tex]

                  Area = 72π square millimeters

The side of inscribed square[tex]=12\sqrt{2} /\sqrt{2}[/tex] = 12mm

Since, area of square= (side)^2

Area of square= 12 * 12 = 144 square millimeters

To find the area of shaded region, subtract area of square from area of circle.

Area of shaded region = area of circle - area of square

Area of shaded region = (72π – 144) square millimeters.

Learn more about the area of circle here:

https://brainly.com/question/14068861

Answer:no

Step-by-step explanation:

it has a closed circle because it's "-or equal to"

if s is more than 4.5 then the arrow would point to anything 4.5 or higher which is to the right

Answer:

q = 15

Step-by-step explanation:

2q – 4 = 26    (add 4 to both sides)

2q = 26 + 4

2q = 30      (divide both sides by 2)

q = 30/2

q = 15

Answer:

4x – 3 + 2x = 33

6x = 36

x = 6

D. x = 6

Answer:

The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)

Step-by-step explanation:

Notice that when we start with the function [tex]f(x)=x^3[/tex], and then transform it into the function: [tex]g(x)=(x-4)^3-7[/tex]

what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).

Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).

then the point (0, 0) after the translation becomes: (4, -7)

Answer:4, -7

Step-by-step explanation:

Answer:

2</x  or x>/2

Step-by-step explanation:

-6>/10-8x

-10   -10

-16>/-8x

divide both sides by -8

2</x  or x>/2

the reason the sign is bc u r dividing by a - number.

Answer:

x ≥ 2

Step-by-step explanation:

-6 ≥ 10 - 8x

Subtract 10 on both parts.

-6 - 10 ≥ 10 - 8x - 10

-16 ≥ -8x

Divide both parts by -8 remembering to  reverse sign.

-16/-8 ≤ (-8x)/-8

2 ≤ x

Switch parts.

x ≥ 2

it is 9

and it is also 54

Answer:

3 and 63.

Step-by-step explanation:

The sequence formula is [tex]\frac{3n(n+1)}{2}[/tex].

Resulting in a sequence of 0, 3, 9, 18, 30, 45, 63.

Answer:

(Change in y)/(change in x) is defined as the average rate of change.

For a linear equation:

y = a*x + b

A is the average rate of change, and is called the "slope" of the linear equation, and this is a constant.

Then the sentence will be:

"The average change between two ordered pairs (x,y) is the ratio (change in x)/(change in y)

In a linear function, this is called the slope, and it is constant"

Answer:

Proved!

Step-by-step explanation:

For two functions f(x) and g(x) to be inverses of each other then;

f(g(x)) = x and g(f(x)) = x condition must be satisfied.

Checking: A. f(x) = 7x³ + 10 and g(x) = ∛[tex]\frac{x - 10}{7}[/tex]

So f(g(x)) = 7([tex]\sqrt[3]{(x- 10)/7}[/tex])³ + 10

We get; 7([tex]\frac{x - 10}{7}[/tex]) + 10 = x - 10 + 10 = x (*This is correct!)

So g(f(x)) = [tex]\sqrt[3]{((7x^3 + 10) - 10)/7}[/tex]

Ten cancels out and we are left with;

[tex]\sqrt[3]{7x^3/7}[/tex] = [tex]\sqrt[3]{x^3}[/tex] = x (* This is also correct!)

Answer: A

Step-by-step explanation: A P E X

a = -3

common ratio(r) = -12/(-3) = 4

nth term = a.r^(n-1)

= -3.(4)^(n-1)

Answer:

option A is correct

Step-by-step explanation:

The number of roots a polynomial has is a factor of the exponent to which it’s highest power is raised

What we are saying here is that the number of roots a polynomial has is equal to the exponent on its highest power

That is why for example a quadratic equation has 2 roots

Now, to get 8 roots, the highest exponent should be 8

After expansion, the first polynomial has a term in the 8th power so it is our answer

The second polynomial, although we have a term in x^4 but it is raised to another 4 which is totally raised to 16 and that cannot be our answer

The correct answer here is the first polynomial

Answer:

Its A on Edge 2020

Step-by-step explanation:

Answer:

Improper fraction.

Step-by-step explanation:

19/18 is an improper fraction. If it were a mixed number, you would have an integer followed by a fraction, like 1 and 1/18.

Hope this helps!

Answer:

It would be an improper fraction.

A mixed number would be 1 whole, while the other part is a fraction.

[tex]1\frac{1}{18}[/tex]

A improper fraction is when the numerator is greater than the denominator, such as

[tex]\frac{19}{18}[/tex]

Hope this helps

Answer by

~[tex]Fishylikeswater[/tex]~

Answer:

5236

Step-by-step explanation:

the original number is equal to 100%

Therefore 5600=100% how about 85 %(which is what is left after decreasing 15%)

85×5600÷100=4760

the new original is(100%)=4760

4760=100% how about 110%(which is what you'll have after adding 10%)

4760×110÷100=5236

Answer:

Step-by-step explanation:

A∩B={x| x∈a and x∈B}

a) A∩B={4,6}

b) A∩B={ 4,9}

c) A∩B={yellow,green}

Answer:

73.3 %

Step-by-step explanation:

To find the percentage

44/60

.73333333

Change to a percentage by multiplying by 100

73.3 %

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▹ Answer

73.3%

▹ Step-by-Step Explanation

44 ÷ 60 = 0.73333333333* 100→ 73.3%

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer: 12 packages with 5 notebooks and 6 pencils in each package.

Step-by-step explanation:

The greatest common factor of 60 and 72 is 12.  Thus divide both numbers(60 and 72) by 12 to get 5 and 6.  Thus, Miss Smith made 12 packages with 5 notebooks and 6 pencils in each package.

Answer:

12 packages with 5 notebooks and 6 pencils in each package.

Step-by-step explanation:

Answer:

choice A

Step-by-step explanation:

im not sure what you really wanted so i did the cheapest option

Answer:

20°.

Step-by-step explanation:

According to both the diagram and the presented angle measure, m∠RPS + m∠QPR = m∠QPS.

(4x + 27) + (9x - 115) = 107

4x + 9x + 27 - 115 = 107

13x - 88 = 107

13x = 195

x = 15

Now that we have the value of x, we can find the m∠QPR.

9x - 115

= 9 * 15 - 115

= 135 - 115

= 20

So, m∠QPR is 20°.

Hope this helps!

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▹ Answer

C. x = -4

▹ Step-by-Step Explanation

The line passes through the point -4, and a vertical line represents x. Therefore, the answer is x = -4.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

x= -4

Step-by-step explanation:

The graph shows that the line crosses -4 and stays paralell with y-axis so the equation is x=-4

Answer:

1

Step-by-step explanation:

do 18 times 3

then do 54 divided by 54

to find the following number

hope this helps

Answer:

The expression in standard form is -3 + 6i

Step-by-step explanation:

Writing complex equation in standard form we have;

-3 + yi = x + 6i

We transfer the real and imaginary parts to be on different sides of the equation as follows;

yi - 6i = x + 3

We factorize the imaginary part;

i(y-6) = x + 3

We note that the real portion on the left hand side of the equation is zero, therefore, we have;

i(y-6)  + 0= x + 3

x + 3 = 0

Therefore, x = -3

Substituting the value of x in the first equation, we have;

-3 + yi = -3 + 6i

Comparing gives;

y = 6

The expression in standard form is -3 + 6i.

Answer:

Decrease of 4% ($4).

Step-by-step explanation:

Suppose the initial price was $100. An increase of 20% will make the price $120.

Now we decrease it 20% which brings it to 120 - 0.20 * 120

= 120 - 24

= $96.

So that's an overall decrease of $4 or 4%.

Answer:

[tex]Time = 7.5\ seconds[/tex]

Step-by-step explanation:

Given

[tex]Equation:\ h(t) = -16t^2 + 120t[/tex]

[tex]Initial\ Velocity = 160ft/s[/tex]

Required:

Determine the time taken to return to the ground

From the equation given; height (h) is a function of time (t)

When the rocket returns to the ground level, h(t) = 0

Substitute 0 for h(t) in the given equation

[tex]h(t) = -16t^2 + 120t[/tex]

becomes

[tex]0 = -16t^2 + 120t[/tex]

Solve for t in the above equation

[tex]-16t^2 + 120t = 0[/tex]

Factorize the above expression

[tex]-4t(4t - 30) = 0[/tex]

Split the expression to 2

[tex]-4t = 0\ or\ 4t - 30 = 0[/tex]

Solving the first expression

[tex]-4t = 0[/tex]

Divide both sides by -4

[tex]\frac{-4t}{-4} = \frac{0}{-4}[/tex]

[tex]t = \frac{0}{-4}[/tex]

[tex]t =0[/tex]

Solving the second expression

[tex]4t - 30 = 0[/tex]

Add 30 to both sides

[tex]4t - 30+30 = 0+30[/tex]

[tex]4t = 30[/tex]

Divide both sides by 4

[tex]\frac{4t}{4} = \frac{30}{4}[/tex]

[tex]t = \frac{30}{4}[/tex]

[tex]t = 7.5[/tex]

Hence, the values of t are:

[tex]t =0[/tex] and [tex]t = 7.5[/tex]

[tex]t =0[/tex] shows the time before the launching the rocket

while

[tex]t = 7.5[/tex] shows the time after the rocket returns to the floor

Answer:

8%

Step-by-step explanation:

Hello,

8% of the students take neither History or French

so we have 8*200/100=8*2=16 students  out of French and History

let s say that

a is the number of students taking only History

b is the number of students taking both History and French

c is the number of students taking only French

10% of those who take History also take French

so 0.10(a+b)=b <=> 0.10a+0.10b=b

<=> 0.10a+0.10b-0.10b=b-0.10b=0.9b

<=> 0.10a=0.90b

let's multiply by 10 it comes a = 9b

4 times as many students take History as take French

so a + b = 4 (b + c)

it comes 9b + b = 10b = 4b + 4c

<=> 10b-4b=4b+4c-4b=4c

<=> 6b=4c

<=> 3b=2c

<=> c = 3b/2

and we know that a + b + c = 200 - 16 = 184

so

9b + b + 3b/2 = 184 we can multiply by 2 it comes

20 b + 3b = 184*2

23b = 184*2 = 23 * 8 *2 = 23*16

b = 23*16/23 = 16

so b = 16

c = 3*16/2 = 24

c = 24

a = 9b = 144

a = 144

you can see the Venn diagram below

and then the probability that a student picked at random does History and French is 16/200 = 8%

so the answer is 8%

hope this helps

Answer:

j=1.75

Step-by-step explanation:

6j=21-2j-7

6j=14-2j

6j+2j=14

8j=14

[tex]\frac{8j}{8} = \frac{14}{8}[/tex]

j=1.75

Simplifying

4x + 2(x + 6) = 36

Reorder the terms:

4x + 2(6 + x) = 36

4x + (6 * 2 + x * 2) = 36

4x + (12 + 2x) = 36

Reorder the terms:

12 + 4x + 2x = 36

Combine like terms: 4x + 2x = 6x

12 + 6x = 36

Solving

12 + 6x = 36

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.

12 + -12 + 6x = 36 + -12

Combine like terms: 12 + -12 = 0

0 + 6x = 36 + -12

6x = 36 + -12

Combine like terms: 36 + -12 = 24

6x = 24

Divide each side by '6'.

x = 4

Simplifying

x = 4

Answer:

Step-by-step explanation:

hello

if f(-5)=3 it means that the remainder when f(x) is divided by (x-(-5))=x+5 is 3

so B is correct

The remainder when f(x) is divided by x + 5 is 3.

W have given that,

f(x) = ax^3 + bx^2 + cx + d

In the polynomial above, a, b, c, and d are constants and f(-5)=3.

When a polynomial a(x) is divided by a linear polynomial b(x) whose zero is x = k, the remainder is given by r = a(k).

- 5 is the root of the given polynomial when remainder is 3 so we get the one factor of the given polynomial and that is,

x-(-5)=(x+5)

That is if f(-5)=3 it means that the remainder when f(x) is

divided by (x-(-5))=x+5 is 3

Therefore option  B is correct.

To learn more about the remainder theorem visit:

https://brainly.com/question/13328536

Answer:

SP = 43 units

Step-by-step explanation:

Given question is incomplete: find the complete question in the attachment.

From the figure attached,

Length of LN = (5x - 14)

Length of SP = (2x + 3)

By the mid-segment theorem,

"Segment connecting the mid points of two sides of a triangle is parallel and half the length of the third side."

SP = [tex]\frac{1}{2}(\text{LN})[/tex]

(2x + 3) = [tex]\frac{1}{2}(5x - 14)[/tex]

4x + 6 = 5x - 14

5x - 4x = 14 + 6

x = 20

SP = (2x + 3)

    = (2×20) + 3

    = 43 units

Therefore, measure of SP = 43 units is the answer.