Find the value of x in the following figure

Answer:

The vertex of the parabola is;

([-1], [3])

Step-by-step explanation:

The given quadratic equation is presented as follows;

x² + 8·y + 2·x - 23 = 0

The equation of the parabola in vertex form is presented as follows;

y = a·(x - h)² + k

Where;

(h, k) = The vertex of the parabola

Therefore, we have;

x² + 8·y + 2·x - 23 = 0

8·y = -x² - 2·x + 23

y = 1/8·(-x² - 2·x + 23)

y = -1/8·(x² + 2·x - 23)

y = -1/8·(x² + 2·x + 1 - 23 - 1) = -1/8·(x² + 2·x + 1 - 24)

y =  -1/8·((x + 1)² - 24) =  -1/8·(x + 1)² + 3

Therefore, the equation of the parabola in vertex form is y =  -1/8·(x + 1)² + 3

Comparing with y = a·(x - h)² + k, we have;

a = -1/8, h = -1, and k = 3

Therefore, the vertex of the parabola, (h, k) = (-1, 3).

Answer:

use mathpapa.com for those type of questions it always helps

Step-by-step explanation:

Answer:

x = 3

y = -2

(3,-2)

Step-by-step explanation:

I hope this helps!

Answer:

Trevor is right

Step-by-step explanation:

The solution of system of equations are [tex](4,0)[/tex]

Therefore, Trevor conclusion is true.

Given system of equations;

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

Substitute value of y from equation (2) in equation (1).

           [tex]x-2(4-x)=4\\\\x-8+2x=4\\\\3x=12\\\\\\x=12/3=4[/tex]

Substitute value of x in second equation.

 [tex]y=4-x=4-4=0[/tex]

Hence, the solution of system of equations are [tex](4,0)[/tex]

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Answer:

18

Step-by-step explanation:

Convert the mixed number to an improper fraction 9/2÷1/4

Reduce the numbers with the greatest common factor 2

and then multiply the numbers 9×2=18 ✅

A scientist is testing a strong elastic cord for an experiment. For every 10 pounds she adds to the cord 36 , the cord stretches 1.5 inches. She writes the equation W = kl to represent this relationship, where W is weight applied and l is the length the cord 25 this us What is the constant of proportionality in her equation? Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. ... The needs of math arose based on the wants of society. The more complex a society, the more complex the mathematical needs.

Answer:

56.4

Step-by-step explanation:

Answer:

The angle X = 33° Brainliest pls!

Step-by-step explanation:

180-104 = 76, 76- 10 = 66, 66/2=33

Answer:

3 ft

Step-by-step explanation:

Because 6 divided by 2 equals 3. And two 1s equal 2.

Answer:3ft

Step-by-step explanation:6/2

Answer:

The answer is D

Step-by-step explanation:

Answer:

26 miles

Step-by-step explanation:

Using Pythagoras rule :

d = straight road connecting city Y and Z :

d = sqrt(xy² + xz²)

d = sqrt(10² + 24²)

d = sqrt(100 + 576)

d = sqrt(676)

d = 26 miles

Answer: x = -7

Step-by-step explanation:

7 (x + 4) = -21

7x + 28 = -21

Subtract 28 from both sides

7x = -49

Divide both sides by 7

x = -7

Answer:

x = -7

Step-by-step explanation:

first distribute he 7 to get 7x + 28 = -21

then subtract 28 from both sides to get 7x = -49

lastly divide 7 from both sides to get x = -7

Answer:

x = 15

Step-by-step explanation:

use pythagorean theorem (a^2+b^2=c^2)

you have c^2 and one of the sides so you just reverse the equation and do

17^2-8^2

and that gives you 225

when you [tex]\sqrt{225}[/tex], you get 15 as your answer

Answer:

The surface area of the rectangular prism is 748 ft2.

Step-by-step explanation:

formula for surface area: A=2(wl+hl+hw)

A=2(wl+hl+hw)=2(5x16+14x16+14x5)=748

Answer:

748 ft²

Step-by-step explanation:

For the surface area, you need to add up the area of all sides, six in this example, but it can be simplified into three by multiplying some of them by two as its presumed a rectangle

x1 = 5*14*2 = 140

x2 = 16*14*2 = 448

x3 =16*5*2 = 160

You find the sum of these; 140 + 160 + 448 = 300 + 448 = 748

Answer:

im not sure but i think its e,c,f

Step-by-step explanation:

Answer:

55 °

Here's the way i got my answer :

Complementary angles are two angles that have a sum of 90° ,therefore 35° + X = 90°

X=55° .

to get ∠DBF

180° - 90° = 90 °

to get ∠EBF

∠CBD + ∠DBE + ∠EBF = 180°

35° + 90° + ∠EBF = 180°

∠EBF = 55°

Answer:

to save space for a large set of data

if the data is categorical

Step-by-step explanation:

The pictograph is used if the data is categorical

A pictograph is a type of graph that uses pictures or symbols to represent data. It is best used when the data is categorical or non-numerical. For example, a pictograph can be used to show the favorite types of fruits of a group of people or the most popular colors of a group of cars.

Pictographs are useful for presenting data in a visually appealing way that is easy to understand, especially for younger or less experienced readers. They are less useful for comparing change over time or for presenting large sets of numerical data, as they can become cluttered and difficult to read.

Given data ,

Let the pictograph be represented as A

Now , pictographs are less useful for comparing change over time or for presenting large sets of numerical data, as they can become cluttered and difficult to read.

For example, if you want to show how the population of a city has changed over the years, a line graph or a bar graph would be a better choice than a pictograph

Hence , pictographs are useful if there is categorical data

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Answer:

9/2

Step-by-step explanation:

8.5 is the same as 8 5/10.

5/10 can be simplifed to 8 1/2

8 1/2 in improper form is 9/2

Hope this helps!

Answer:

$53.22

Step-by-step explanation:

$53.22

Sorry If I am wrong

Answer:

A) 1.3 and C) −2

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer: 1 is independant

Step-by-step explanation: 2 is dependant. GOT IT CORRECT TRUST ME!!!

Answer:

y=−8

Step-by-step explanation:

−7y+4=60

Subtract 4 from both sides.

−7y=60−4

Subtract 4 from 60 to get 56.

−7y=56

Divide both sides by −7.

y=−56/7

Divide 56 by −7 to get −8.

y=−8

Grapf if needed:

Answer:

cost = 112

profit= 168

Step-by-step explanation:

280÷100=2.8

2.8×40=112

profit = price - cost

= 280-112

= 168

Answer:

100/ 651 , or 0.15361

Step-by-step explanation:

this took so long

Answer:

0.15360983102

.......

Answer: y=1/4x-5

Step-by-step explanation:

1/4 is the slop

-5 is the y-intercept

Y=mx+b (slope-intercept form)

m=slope

b=y-intercept

y=1/4x-5

Answer:

The answer is b

Step-by-step explanation:

b is  6xy

2x+4y is the equivalent expression of x+x+4y.

An expression is combination of variables, numbers and operators.

The given expression is  x + x + 4y

x plus x plus four times of y.

In the given expression x and y are two variables.

Equivalent expressions are expressions whose value will remain same after simplifying or solving.

We need to add x variable terms once and then with y term

x + x + 4y

2x+4y

Hence, 2x+4y is the equivalent expression of x+x+4y.

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Answer:

Sorry I can't help with2.08

Hope the remaining helped

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