What is the sum of the terms of the series 4 + 7 + 10 + . . . + 22? 91 43 104

Step-by-step explanation:

Hey there!!

I hope you remember that mid-segment theorem, in which it is stated that, line which passes through the midpoint of one side triangle bisects base, are parallel to another side of triangle and that line is half of parallel side. (i.e CB = 1/2 of RT) .

Now, Let's simply solve it.

[tex]cb = \frac{1}{2} \times rt[/tex]

Put their values as given in question.

[tex]x + 19 = \frac{1}{2} \times (x + 29)[/tex]

Simplify them.

2x + 38 = x +29

2x - x = 29 - 38

x = -9.

Hope it helps...

Answer:

f(x) = 3x -5

Step-by-step explanation:

The equation for a line is already a type of function, so you simply replace y for f(x), g(x), or something similar to that

The function notation of y = 3x - 5 is

f(x) = 3x - 5.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

y = 3x - 5

Put y = f(x)

Where x is the input and f(x) is the output.

Thus,

f(x) = 3x - 5 is our function.

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Answer:

this might help you....

The area of a triangle with ratio of 2:3:4 and a perimeter of 90 centimeter is 290. 47 centimetre squared.

The perimeter of a triangle is the sum of the whole sides of the triangle.

Therefore, the perimeter is given as follows:

perimeter = 90 cm

Hence, the sides can found as follows:

2 / 9 × 90 = 20 cm

3 / 9 × 90 = 30 cm

4 / 9 × 90 = 40 cm

Area = √s(s-a)(s-b)(s-c)

where

Hence,

s = 90 / 2 = 45

a = 20 cm

b = 30 cm

c = 40 cm

Therefore,

area of the triangle = √45(45 - 20)(45 - 30)(45 - 40)

area of the triangle =√45(25)(15)(5)

area of the triangle = √84375

area of the triangle = 290.473750966

area of the triangle = 290. 47 cm²

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Answer:

1/10

Step-by-step explanation:

7000/70000=1/10

Answer: (3x2 − 2x + 5)

Step-by-step explanation:

The other factor of the polynomial (3x+5) and (x-1).

Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence. Just like the regular division problems, the dividend is divided by the divisor which gives a result known as the quotient, and sometimes it gives a remainder too.

Given that, one factor of the polynomial 6x³-x²+ 8x+5 is (2x+1).

Using long division method, we get

2x+1|6x³-x²+8x+5|3x²+2x-5

    (-)6x³+3x²

_____________

          -4x²+8x+5

           4x²+2x

_____________

                 10x+5

                -10x-5

_____________

                     0

Now, the factors of quotient 3x²+2x-5 are

3x²+5x-3x-5

= x(3x+5)-1(3x+5)

= (3x+5)(x-1)

Therefore, the other factor of the polynomial (3x+5) and (x-1).

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Answer:

B, (-1, -7)

Step-by-step explanation:

Answer:

a = 16

b = 10

In the equation from the question there's no value that you can determine for c.

Step-by-step explanation:

Answer:

ahah yea and its 10 by the way

Answer:

heyyyyy :)    its 10

Step-by-step explanation:

Answer:

x= -5

•use photomath it gives you answers to these kinds of math problems. hope this helped:))

Answer:

y=9

Step-by-step explanation:

5(y-10)=-5

We move all terms to the left:

5(y-10)-(-5)=0

We add all the numbers together, and all the variables

5(y-10)+5=0

We multiply parentheses

5y-50+5=0

We add all the numbers together, and all the variables

5y-45=0

We move all terms containing y to the left, all other terms to the right

5y=45

y=45/5

y=9

The value of y = 9 is correct. Therefore, the solution is y = 9.

To solve the equation 5(y - 10) = -5 for y, follow these steps:

Step 1: Distribute the 5 on the left side of the equation:

5y - 50 = -5

Step 2: Move the constant term to one side by adding 50 to both sides:

5y - 50 + 50 = -5 + 50

Step 3: Simplify the left side and evaluate the right side:

5y = 45

Step 4: Isolate y by dividing both sides by 5:

5y / 5 = 45 / 5

Step 5: Simplify and calculate y:

y = 9

The solution to the equation is y = 9. To verify, substitute y with 9 in the original equation:

5(9 - 10) = -5

5(-1) = -5

-5 = -5

Since both sides are equal, the value of y = 9 is correct. Therefore, the solution is y = 9.

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Answer:

x = -49/24

Step-by-step explanation:

The first step in solving this equation is to use the distributive property to eliminate the parentheses on the left side of the equation.

-8(7x+8) = -8x + 34

-56x - 64 = -8x + 34

Next, we should add 8x to both sides of the equation.

-48x - 64 = 34

Next, we can add 64 to both sides of the equation.

-48x = 98

Finally, we can divide both sides of the equation by -48 to get the variable x alone on the left side of the equation.

x = -98/48 = -49/24

Therefore, the correct answer is -49/24.

Hope this helps!

Answer:

Options (1) and (2)

Step-by-step explanation:

Properties of a polynomial,

1). A polynomial having division by a variable can't be defined as a polynomial.

  Example:

   (y² + [tex]\frac{x}{1+x}[/tex])

2). A polynomial can't have a negative exponent.

  Example : [tex](x^{-2}+y-6)[/tex]

3). Polynomials don't have the radicals.

  Example : y² + x√3

4). A polynomial can't have a fraction exponent.

   Example : [tex]x^2+x^{\frac{1}{2}}-1[/tex]

By these properties, Options (3) and (4) are not the polynomials.

Options (1) and (2) are the correct options.

[tex]\text{Hello! :)}[/tex]

[tex]\large\boxed{(3x + 4)(x + 8)}[/tex]

[tex]\text{Factor the polynomial:}\\3x^{2} +28x +32\\\\\text{Find two numbers that multiply into 32 and sum up to 28.}\\\text{Take into account the leading coefficient of 3:}\\\\\text{The numbers 4 and 8 work; arrange them so that they sum up to 28:}\\\\(3x + 4)(x + 8)[/tex]

Answer:

[tex] \boxed{ \bold{ \boxed {\huge{ \sf{ {x}^{2} + 7x}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{x(x + 7)}[/tex]

Distribute x through the parentheses

[tex] \dashrightarrow{ \sf{x \times x + x \times 7}}[/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ {x}^{2} + 7x}}}[/tex]

Hope I helped!

Best regards! :D

Select the correct answer from each drop-down menu.

cos2x-cos4x/sin2x+sin4x = tan x

cos2x+cos4x/sin2x-sin4x  = -cot x

The trigonometric equations have value tan x, -cot x .

Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.

The trigonometric equation is

(cos 2x - cos 4x )/(sin2x +sin4x)

cos A + cos B =  - sin (A+B)/2 sin(A-B)/2

sin A - sin B = sin( A+B)/2 cos (A-B)/2

= (-sin 3x) sin ( -2x)/2)/( cos 3x cosx)

= sin 3x sin x/ (sin 3x) cos x

= tan x

The other equation is

(cos 2x +cos 4x)/(sin 2x- sin4x)

=  cos 3x cosx/ cos3x sin(- x)

= - cot x

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Answer:

5N+5P

Step-by-step explanation:

7N-2N=5N

3P+2P=5P

Answer:

14

Step-by-step explanation:

5-6=1

15-1=14

Answer:

2,4,6,1,3

Step-by-step explanation:

Answer:

1,2,3,6

Step-by-step explanation:

Answer:

Use the straightedge to draw GK−→−. Place the point of the compass on point H and draw an arc in the interior of the angle. Label the intersection of the arcs in the interior of the angle as point K. Place the point of the compass on point G and draw an arc that intersects the sides of ∠G.

Sorry answered for more points for more questions I'm so sorry.

Answer: 8x2y2−15x2y+xy2+5y

Step-by-step explanation: option B or D i cant really see the screen, sorry

Answer:

6 months

Step-by-step explanation:

Answer:

the cost per pint of 3 pints of blueberries if the total cost was $6

Step-by-step explanation:

This is the correct answer

I hope this helps you!

Answer:

C

Step-by-step explanation:

Answer:

To find the extremes, we must see the graph.

The maximum will be the value where the value of y is the greatest.

We can see that the graph peaks at y = 3.

Then the maximum is 3.

The minimum is the value of y that is the lowest.

We can see that in the left side, when x = 0, y takes the lowest value, y = -1

Then the minimum in the interval is -1.

The easier way to see maximum/minimum value is to look at the highest/lower value in the graph.

Answer:

50

Step-by-step explanation:

Step 1:

40 + 10

Answer:

50

Hope This Helps :)

Answer:

x= 3

Step-by-step explanation:

mark me brainliest :)

Answer: C. x = 3

Hope this helps!

Answer:0.47 cents per cup

Step-by-step explanation:

Since they’re are 32 cups in 2 gallons, we can divide $15.04 by 32 and get the answer

Answer:

$7.79 per pair of gloves

Step-by-step explanation:

divide

31.16÷ 4 = 7.79

Answer:2/9

Step-by-step explanation:

AB=[tex]\frac{7-5}{6+3}[/tex]

    =[tex]\frac{2}{9}[/tex]