Two negative integers are 8 units apart on the number line and have a product of 308.Which equation could be used to determine x, the smaller negative integer?

x2 + 8x – 308 = 0
x2 – 8x + 308 = 0
x2 + 8x + 308 = 0
x2 − 8x − 308 = 0

Answers

Answer 1
Answer: Calll x the smaller negative number.

The larger number will be x + 8

The product will be x(x+8) = 308

An the equation:

x^2 + 8x = 308
x^2 + 8x - 308 =0

If you solve that equation you will get x = -22 and x = 14.

The result that you are looking is the negative, x = -22.

The larger number is -22 + 8 = -14.

(-22)*(-14) = 308

Answer: x^2 + 8x - 308 =0


Answer 2
Answer:

that answer is letter A on E2020


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Find the constant of variation for the relationship shown in the following table:Two row table. First row head is x. First row data are one, two, three, four. Second row head is y. Second row data are three, six, nine, twelve.

if you want an actual picture of the table please ask : )


A.
3

B.
4

C.
2

D.
1

Answers

In order to get the constant of variation, you can either make a linear equation that relates x and y in which the slope is the constant of variation

LINEARIZING

x = 3y

the slope of the equation is 3 and therefore the constant of variation is 3

 

 

Graph the equation x-y=6

Answers

x-y=6\n\nThe\ slope-intercept\ form:y=mx+b\n\n-y=-x+6\ny=x-6\n\ny-intercept\ (x=0)\ny=0-6=-6\n(0;-6)\n\nx-intercept\ (y=0)\n-x+6=0\nx=6\n(6;\ 0)
x-y-6=0 is the standard form you can graph this by using the y-x intercept form 
x-intercept y=0 
x-6=0 
x=6 
y-intercept, x=0 
-y-6=0 
-y=6
y=-6 
therefore you can plot points on (0,-6) and (6,0) ad connect them together 

8.92*10^9 in standard notation

Answers

8,920,000,000

Basically just add 9 0's to that number, using the first few to get rid of the decimal places.

A quadrilateral has vertices (-5,0), (2,8), (4,-5) and (7,3). Which matrix is the coordinate matrix for the given quadrilateral?

Answers

Answer:

The matrix that is the coordinate matrix of the given quadrilateral is:

A.\ \left[\begin{array}{cccc}-5&2&4&7\n0&8&-5&3\end{array}\right]

Step-by-step explanation:

We  know that the vertices of a quadrilateral are expressed in form of a matrix by placing the vertices along the column of a matrix.

i.e. the vertex A(-5,0) form the first column of a  matrix and similarly the vertex B form the second column of the matrix ; C from the third column of the matrix and D form the third column of the matrix.

          Hence, the answer is:

                      Matrix A

(-5,  2,  4,  7)
  0   8   -5  3

The co-ordinates are just rewritten in form of a column vector. This gives a  matrix of order 2x4

Circle B has an area of 675 sq meters. What is the diameter of Circle B.

Answers

Answer:

area = \pi {r}^(2)

675= 3.14× r²

r²= 675/ 3.14

r²=214.968

r =  √(214.968)

radius=14.66 meters

diameter= 2× radius

diameter= 2× 14.66

diameter = 29.32 meters

Before 2017, smartphones by major manufacturers all had screens with a aspect ratio. In 2017, two major brands released phones with screens in an aspect ratio. However they still reported their screen size using the same diagonal length of the earlier phones, 5.8 inches. How did the change in aspect ratio affect the screen size, if at all?

Answers

Answer:

the question is missing the numbers, so I looked for a similar one and found that screens back in 2017 had a 16:9 ratio and since then it changed to 18.5:9 ratio

the area of the screen is b x a x 0.5

we can form triangles:

old aspect ratio (16:9):

a = 1.778b

h = √(a² + b²)

5.8 = √[(1.778b)² + b²]

5.8 = √(3.16b² + b²)

5.8² = 4.16b²

33.64 = 4.16b²

b² = 33.64 / 4.16 = 8.0865

b = √8.0865 = 2.8437

a = 2.8437 x 1.778 = 5.056

area = 2.8437 x 5.056 x 0.5 = 7.19 in²

new aspect ratio (18.5:9):

a = 2.0556b

h = √(a² + b²)

5.8 = √[(2.0556b)² + b²]

5.8 = √(4.2253b² + b²)

5.8² = 5.2253b²

33.64 = 5.2253b²

b² = 33.64 / 5.2253 = 6.4379

b = √6.4379 = 2.5373

a = 2.5373 x 2.0556 = 5.2157

area = 2.5373 x 5.2157 x 0.5 = 6.62 in²

the actual screen area decreased by 0.57 in² or 7.93%