What is an equation of the line that passes through the points (-4, -1)(−4,−1) and (2, 8)(2,8)?

Given:

The equation is

[tex]x^2+(2\sqrt{5})+2x=-10[/tex]

To find:

The number of roots and discriminant of the given equation.

Solution:

We have,

[tex]x^2+(2\sqrt{5})x+2x=-10[/tex]

The highest degree of given equation is 2. So, the number of roots is also 2.

It can be written as

[tex]x^2+(2\sqrt{5}+2)x+10=0[/tex]

Here, [tex]a=1, b=(2\sqrt{5}+2), c=10[/tex].

Discriminant of the given equation is

[tex]D=b^2-4ac[/tex]

[tex]D=(2\sqrt{5}+2)^2-4(1)(10)[/tex]

[tex]D=20+8\sqrt{5}+4-40[/tex]

[tex]D=8\sqrt{5}-16[/tex]

[tex]D\approx 1.89>0[/tex]

Since discriminant is [tex]8\sqrt{5}-16\approx 1.89[/tex], which is greater than 0, therefore, the given equation has two distinct real roots.

Answer: 14 - 3(4)

Step-by-step explanation:

Decreased just means subtract

Answer:

27 small cubes

Step-by-step explanation:

Given that,

The volume of the large cube is [tex]7.506\times 10^5\ mm^2[/tex]

The volume of small cube is [tex]2.78\times 10^4\ mm^2[/tex]

We need to find how many small cubes make up the large cube. Let there are n small cubes. So, it can be calculated as follows :

[tex]n=\dfrac{7.506\times 10^5}{2.78\times 10^4}\\\\n=27[/tex]

So, there are 27 small cubes that make up of the large cube.

Answer:

x=50

Step-by-step explanation:

40+65+25+x=180

Combine like terms

130+x=180

x=50

(triangles = 180)

Answer:

This would be Answer C

Step-by-step explanation:

In the graph It shows you what percentage chose navy blue.

180 marbles are in the jar.

Combining operands with a single arithmetic operator specifies an arithmetic operation. The built-in functions ADD, SUBTRACT, DIVIDE, and MULTIPLY can also be used to specify arithmetic operations. in general, we use PEMDAS for calculating various arithmetic operations.

Given 25% of the marbels ar red. and also given 45 marble are red.

Hence Total marble will be,

Total marbles = [tex]\frac{45* 100}{25}[/tex] = 180.

Therefore the total number of marbles in the jar is 180.

Learn more about arithmetic operations here:

https://brainly.com/question/25834626

#SPJ2

Answer:

600

Step-by-step explanation:

100 centimeter in 1 meter

the answer is six hundred

Step-by-step explanation:

$ 3.15 each pendents .......

Answer:

20x^2−2x−6

Step-by-step explanation:

(4x+2)(5x+−3)

=(4x)(5x)+(4x)(−3)+(2)(5x)+(2)(−3)

=20x2−12x+10x−6

=20x2−2x−6

Answer:

D

Step-by-step explanation:

that's the answer becouse other words are small

Answer: it would be C. a 225° rotation

Step-by-step explanation: I got it correct

Answer:

C

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

Sum = 4

Product = -32

Factors = 8 , (-4)

x² + 4x - 32 = x² + 8x - 4x - 4*8

                   = x(x + 8) - 4(x + 8)

                  = (x + 8)(x - 4)

Answer:

3950 feet squared

Step-by-step explanation:

So first you have to multiply 75 by 50, so that is 3750.

Next you have to multiply 20 by 10 and you get 200.

Finally you had both 3750 and 200 in order to get 3950 and that is why the total area of the farm is 3950 feet squared.

Step-by-step explanation:

Im supposing this is a rectangle with length of 20 and width of 24, so... area is equal to lenth by width, so A=L*W or A=20*24 so the area is 480 square feet

Answer:

v=565.48668 or rounded up 565.49

Step-by-step explanation:

Answer:

2<7

Step-by-step explanation:

-7<=-2

-7+9<-2+9

2<7

Solution :

We have to find the largest fraction in each group.

a). [tex]$\frac{5}{6}$[/tex] and [tex]$\frac{29}{36}$[/tex]

    [tex]$\frac{5}{6}$[/tex]  →  when we divide the number 5 with 6, we get 0.833

    [tex]$\frac{29}{36}$[/tex] → when we divide 29 by 36, we get the value 0.805

Therefore, in this group, [tex]$\frac{5}{6}$[/tex] is the largest fraction.

b).  [tex]$\frac{5}{12}$[/tex] and [tex]$\frac{3}{8}$[/tex]

     [tex]$\frac{5}{12}$[/tex]  →  when we divide the number 5 with 12, we get 0.416

    [tex]$\frac{3}{8}$[/tex] → when we divide 3 by 8, we get the value 0.375

Therefore, in this group, [tex]$\frac{5}{12}$[/tex] is the largest fraction.

c).  [tex]$\frac{2}{5}$[/tex] and [tex]$\frac{19}{45}$[/tex]

     [tex]$\frac{2}{5}$[/tex] →  when we divide the number 2 with 5, we get 0.40

    [tex]$\frac{19}{45}$[/tex] → when we divide 19 by 45, we get the value 0.42

Therefore, in this group, [tex]$\frac{19}{45}$[/tex] is the largest fraction.

d).  [tex]$\frac{5}{7}$[/tex], [tex]$\frac{13}{14}$[/tex] and  [tex]$\frac{19}{21}$[/tex]

      [tex]$\frac{5}{7}$[/tex] →  when we divide the number 5 with 7, we get 0.714

    [tex]$\frac{13}{14}$[/tex] → when we divide 13 by 14, we get the value 0.928

    [tex]$\frac{19}{21}$[/tex]  → when we divide 19 by 21, we get the value 0.904

Therefore, in this group, [tex]$\frac{13}{14}$[/tex]  is the largest fraction.

9514 1404 393

Answer:

  D)  infinitely many

Step-by-step explanation:

There are infinitely many points on any portion of the number line. The shading on the graph indicates all numbers less than or equal to 8 are solutions. There are infinitely many such numbers.

Answer:

a) x = 34

b) yes, it checks out

Step-by-step explanation:

2x - 5 = 3(4 + 1/2x)

multiply both sides by 2 to eliminate fraction

2[2x - 5 = 3(4 + 1/2x)] = 4x - 10 = 24 + 3x

x - 10 = 24

x = 34

check

2(34) - 5 = 3(4 + 34/2)

68 - 5 = 3(4 + 17)

63 = 3(21)

63 = 63

Answer:

25

Step-by-step explanation:

do 60 and multipy it by 5 then 5/12

and turn it into a proper fraction

Answer:

25

Step-by-step explanation:

60 × [tex]\frac{5}{12}[/tex] = [tex]\frac{300}{12}[/tex]= 25

Answer:

15

.......................

Answer:

D) 12

Step-by-step explanation:

7 + 4 + 1 = 12

Hope that helps!

-scsb17hm

Answer:7

Step-by-step explanation:

in the pledges table on 40-49 7 people recieved more that 39 pledes

Answer:

Your answer is

1.5<XZ<18.5

Hope that this is helpful. Tap the crown button, Like & Follow me

9514 1404 393

Answer:

  (d)  scale factor 1/2; center: the origin

Step-by-step explanation:

Consider point B(2, 6). That gets dilated to make point D(1, 3). These coordinates are different, so the center of dilation is not point B. The ratios of the coordinates of D to B are 1/2 and 3/6 = 1/2. This is the scale factor k. (The coordinates of other corresponding points also have the same ratio.)

  k = 1/2; dilation center: the origin

Answer:

40liters

Step-by-step explanation:

Given data

1/5 full holds 16 liters

1/2 full barrel will hold???

Let 1/2 full barrel hold x liters

1/5 holds 16 liters

1/2 will hold x

cross multtiply

1/2*16= x/5

8= x/5

x= 8*5

x= 40 liters

Hence 1/2 full will hold 40liters

Answer:

about 38.48 square feet

Answer:

[tex] \boxed{460 \: bacteria}[/tex]