7x+8/2 = 9x+1
Give your answer as a fraction in its simplest form

Answer:

Step-by-step explanation:

With some research I found that the medians (QK, RJ, and SI) are broken into 2:1 ratios.

So what this means is that QD is twice as long as DK.

QD = 2DK

QD = 2 * 6.5

QD = 13

Answer:

[tex]a+b+c=10[/tex]

Step-by-step explanation:

We are given that the graph of the equation:

[tex]y=ax^2+bx+c[/tex]

Passes through the three points (0, 5), (1, 10), and (2, 19).

And we want to find the value of (a + b + c).

First, since the graph passes through (0, 5), its y-intercept or c is 5. Hence:

[tex]y=ax^2+bx+5[/tex]

Next, since the graph passes through (1, 10), when x = 1, y = 10. Substitute:

[tex](10)=a(1)^2+b(1)+5[/tex]

Simplify:

[tex]5=a+b[/tex]

The point (2, 19) tells us that when x = 2, y = 19. Substitute:

[tex](19)=a(2)^2+b(2)+5[/tex]

Simplify:

[tex]14=4a+2b[/tex]

This yields a system of equations:

[tex]\begin{cases} 5 = a + b \\ 14 = 4a + 2b\end{cases}[/tex]

Solve the system. We can do so using elimination (or any other method you prefer). Multiply the first equation by negative two:

[tex]-10=-2a-2b[/tex]

Add the two equations together:

[tex](-10)+(14)=(-2a+4a)+(-2b+2b)[/tex]

Combine like terms:

[tex]4 = 2a[/tex]

Hence:

[tex]a=2[/tex]

Using the first equation:

[tex]5=(2)+b\Rightarrow b=3[/tex]

Therefore, our equation is:

[tex]y=2x^2+3x+5[/tex]

Thus, the value of (a + b + c) will be:

[tex]a+b+c = (2) + (3) + (5) = 10[/tex]

Answer:the answer is 10 because if u subctract it will work

Step-by-step explanation:

Explanation:

The adjacent angle to the right of the (6x+1) angle is 180-(6x+1). Simply subtract it from 180 to get its supplementary counterpart.

The three inner angles of any triangle must add to 180, so,

(inner angle 1) + (inner angle 2) + (inner angle 3) = 180

[ 180-(6x+1) ] + (79) + (2x+10) = 180

180 - 6x - 1 + 79 + 2x + 10 = 180

(-6x+2x) + (180-1+79+10) = 180

-4x+268 = 180

-4x = 180 - 268

-4x = -88

x = -88/(-4)

x = 22

Answer:

x = 22

Step-by-step explanation:

2x + 10 + 79 = 6x + 1

Think alternate interior angles

2x + 10 + 79  makes up one of the alternate interior angles

6x + 1 is the other.

Combine like terms.

Subtract 2x both sides.

Subtract 1 from both sides.

Divide by 4 both sides.  

Answer:

The volume is approximately 50 m^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

The radius is 1/2 of the diameter r = 8/2 = 4

V = pi ( 4)^2 (1)

V = 16 pi

Letting pi be approximated by 3.14

V = 3.14 * 16

V = 50.24

The volume is approximately 50 m^3

Answer:

infjfkflflfmdbfufifldndndhfififkfnf

Answer:

hjjjnnnhjjjjj

Step-by-step explanation:

answer is d

Answer:

Population of town in 2020 = 4626 (Approx.)

Step-by-step explanation:

Given:

Population of town in 2000 = 12,910

Decrease rate = 5% = 0.05 yearly

Find:

Population of town in 2020

Computation:

Number of year = 20 years

Population of town in 2020 = Population of town in 2000[1-r]ⁿ

Population of town in 2020 = 12,910[1-0.05]²⁰

Population of town in 2020 = 12,910[0.95]²⁰

Population of town in 2020 = 12,910[0.3584]

Population of town in 2020 = 4625.944

Population of town in 2020 = 4626 (Approx.)

Answer:

The population is 4628.

Step-by-step explanation:

Population in 2000 = 12910

Rate of decrease = 5 %

Time, t = 2020 - 2000 = 20 years

Let the population is P.

Use the formula

[tex]P = Po\left ( 1-\frac{r}{100} \right )^t\\\\P = 12910\left ( 1-0.05 \right )^2\\\\P = 4628[/tex]

Answer:

y>1

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

f ( 1 ) = 18

First term ( a ) = 18

f ( n + 1 ) = f ( n ) - 2

When, n = 1

f ( 1 + 1 ) = f ( 1 ) - 2

f ( 2 ) = 18 - 2

f ( 2 ) = 16

f ( 2 ) - f ( 1 )

= 16 - 18

= - 2

Common difference ( d ) = - 2

f ( 5 )

= a + 4d

= 18 + 4 ( - 2 )

= 18 - 8

= 10

9514 1404 393

Answer:

  invalid

Step-by-step explanation:

There is more than one set of dimensions that will give a triangle with an area of 6. The fact that the area is 6 implies nothing about the dimensions (except that their product is 12).

The converse is invalid.

Answer:

The first sentence is valid but the second one is invalid.

Step-by-step explanation:

You can't say just because the area of the triangle is 6, its base is 3 and its height is 4, it might have a base of 1 and a hight of 12 so there are more than one answers for the second one.

Feel free to message me if you still have questions :)

Answer:

Question 10:

Answer: b.

[tex]{ \tt{f(x) = 5 {x}^{2} + 9x - 4}} \\ { \tt{g(x) = - {8x}^{2} - 3x - 4 }}[/tex]

(f + g)x, add f(x) and g(x):

[tex]{ \tt{(f + g)x = (5 - 8) {x}^{2} + (9 - 3)x - 4 - 4}} \\ { \tt{(f + g)x = - 3 {x}^{2} + 6x - 8}}[/tex]

Question 11:

Answer: a.

In relation with solution of question 10, same procedure:

[tex]{ \tt{(f - g)x = - 3 {x}^{3} + (1 - 2) {x}^{2} + ( - 3 - 4)x + 9 - ( - 9)}} \\ { \tt{(f - g)x = - 3 {x}^{3} - {x}^{2} - 7x + 18 }}[/tex]

Answer:

‼️A) 12‼️

Step-by-step explanation:

Key skills needed: Interior Angle Measure Theorem, Equation Creation

Step 1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures

The theorem is:    S = (n - 2)180S=(n−2)180

S is the sum of all interior angle measures

n is the number of sides of the polygon

Step 2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:

---> S = (7-2)180S=(7−2)180

---> (7-2) is 5 since 7 - 2 = 5 so --> S = 5(180)S=5(180)

---> 5(180) is the same as 5 x 180 which is 900 so --> S = 900S=900

This means that the sum of all interior angles is 900 degrees.

Step 3) Now, we have to find out the sum of all the angles that they gave us so:

---> 10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 90010x+10x+9+133+9x+14+12x−9+10x+5+136=900

The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.

Step 4) We have to combine all like terms on the left side:

---> 10x + 10x + 9x + 12x + 10x = 51x10x+10x+9x+12x+10x=51x

---> 9 + 133 + 14 -9+5+136 = 2889+133+14−9+5+136=288    

Step 5) This means that ---> 51x + 288 = 90051x+288=900

Subtract 288 from both sides  and get:

---> 51x = 61251x=612    (900-288 = 612)

Then divide by 51 from both sides and get:

---> x = 12x=12     (612 ÷ 51 = 12)

Therefore A) 12 is your answer.

I think it should be none of these.

The term on the left has to be even no matter what value of x and the right has to be odd no matter what value of x. Therefore, there shouldn't be an integer value of x that satisfies the equation, let alone the answer choices A-D.

Answer:

421

Step-by-step explanation:

5894 divided by 14 in decimal = 421 • 5894 divided by 14 in fraction = 5894/14• 5894 divided by 14 in percentage= 42100%

YOUR WELCOME :)))

Answer:

Solution given:

Relationship between base and hypotenuse is given by Cos angle

Cos Angle(?)=base/hypotenuse

Angle{?}=Cos-¹(40/58)

Angle{?}=46°

The indicated angle is 46°

Recall that 2⁴ = 16. So you have

2⁶⁰ = 2⁴ˣ¹⁵ = (2⁴)¹⁵ = 16¹⁵

Answer:

4c² + 11cd + 5d

Step-by-step explanation:

(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)

-4c² + 7cd + 8d - 3d + 8c² + 4cd (opening bracket)

8c²-4c²+7cd + 4cd + 8d - 3d

= 4c² + 11cd + 5d

Answer:

19 + 1 + 9 + 1

put any of those in the slots

Answer:

19 + 1 + 9 + 1

peace

Answer:

So required ans is 5*11+10=65 6x-41=25

Step-by-step explanation:

You can do as,

5x+10+6x-41=90

11x-31=90

11x=31+90

11x=121

x=121/11

x=11

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]\to y=(\frac{1}{2})(x-4)(x+4)\\\\\to y=(\frac{1}{2}) (x^2-16)\\\\\to y=(\frac{1}{2})(x-0)^2-8\\\\vertex \to (0,-8)[/tex]

The general x-intercept parabola equation [tex]y=k(x-4)(x+4)[/tex]

Parabola crosses the dot (2,-12)

[tex]\to k(2-4)(2+4)=-12\\\\\to k(-2)(6)=-12\\\\\to -12k=-12\\\\\to k=\frac{-12}{-12}\\\\\to k=1[/tex]

The parabolic equation which crosses the position [tex](2,-12)[/tex] is[tex]y=(x-4)(x+4)[/tex]

[tex]\to y=(x-4)(x+4)\\\\\to y=x^2-16\\\\\to y=(x-0)^2-16\\\\vertex \to (0,-16)[/tex]

The distance among the vertices of the two parabolas:

[tex]= \sqrt{(0 - 0)^2+(-8-(-16))^2}\\\\ = \sqrt{0+(-8+16))^2}\\\\ =\sqrt{0+(8)^2}\\\\=\sqrt{(8)^2}\\\\= 8\\\\[/tex]

Answer:

i think 5 is the answer not sure check with other helpers or brainer

Step-by-step explanation:

Answer:

y=-2x+2

Step-by-step explanation:

substitute either the x or y value into the equations, if you substitute x=3 and get back y=-4, the equation is correct

Answer:

1 /22

6/11

Step-by-step explanation:

Total number of soda = 12

Number of diet soda in pack = 3

Number of regular soda = 12 - 3 = 9

Suppose selection is done without replacement ;

Recall : probability = required outcome / Total possible outcomes

P(selecting diet soda on 1st pick) = number of diet soda / total Number of soda in pack = 3 / 12

Diet soda left = 3 - 1 = 2

Total sodas left in pack = 12 - 1 = 11

P(selecting diet soda on 2nd pick) = 2 /11

Probability(diet soda on both picks) =

3/12 * 2/11 = 6 / 132 = 1 / 22

B.)

P(selecting regular soda on 1st pick) = number of regular / total Number of soda in pack = 9 / 12

Diet soda left = 9 - 1 = 8

Total sodas left in pack = 12 - 1 = 11

P(selecting regular soda on 2nd pick) = 8 /11

Probability(regular soda on both picks) =

9/12 * 8/11 = 72 / 132 = 12 / 22 = 6/11

Answer:

96 in²

36 in²

60 in²

6.51 in

Step-by-step explanation:

Given that :

Dimension of paper = 12 in by 8 in

Dimension of right triangles :

2 in by 9 in ; 3 in by 6 in

Area of sheet of paper = 12 in * 8 in = 96 in²

Area of triangle = 1/2 base * height

Therefore, area of remnant right triangle :

2 * 1/2 * 2 * 9 = 18 in²

2 * 1/2 * 3 * 6 = 18 in²

Combined area of triangle left = 18in + 18in = 36 in²

Area of parallelogram = Area of sheet - Area of triangles left

Area of parallelogram = 96in² - 36in² = 60 in²

Base, b of parallelogram = 9.22 in

Area of parallelogram = base * altitude,h

60in² = 9.22h

h = 60 / 9.22 = 6.51 in

hope so this might help

ans is above in the pic

Answer:

y=4sqrt 3 X=8sqr 3

Step-by-step explanation:

4/y=y/12 y^2=48 y= sqrt 48= sqrt 4 * sqrt 3 * sqrt 4 = y = 4sqrt 3 then X

(4sqrt3)^2+144=x^2

48+144=192

sqrt 192

8sqrt3

Answer:

answer A

Step-by-step explanation:

A=(-4,7)

C=(2,-5)

midpoint = U=((-4+2)/2, (7+(-5))/2)=(-1,1))

B=(3,0)

D=(-5,2)

midpoint = V=((3+(-5))/2,(0+2)/2)=( -1,1)

Diagonals have the same middle, the quadrilater is a parallogram.

Answer:

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