need to find the solution to this system .

Answer:

Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel

Step-by-step explanation:

The given function required to be plot is y = x² - 2·x - 8

Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;

h = -(-2)/(2×1) = 1

k = 1² - 2×1 - 8 = -9

The coordinates of the vertex = (1, -9)

The roots of the equation is given when y = 0, as follows;

At the roots, we have;

x² - 2·x - 8 = 0

By factorizing, we get

x² - 2·x - 8 = (x - 4)·(x + 2) = 0

Therefore. the roots of the equation are;

x = 4, and x = -2

The coordinates of the roots are;

(4, 0), and (-2, 0)

Two other points can be found at when x = 3 and when x = 0 as follows;

When x = 3, we have;

y = 3² - 2×3 - 8 = -5

(3, -5)

When x  = 0, we have;

y = 0² - 2×0 - 8 = -8

(0, -8)

The five points are;

(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)

The graph of the equation created using MS Excel showing the five points is attached.

Answer:

x=12

Step-by-step explanation:

60°+60°+5x=180°

5x=60°

x=12

Answer:

x = 12

Step-by-step explanation:

60 + 60 + 5x = 180

120 + 5x = 180

5x = 60

x = 12

Step-by-step explanation:

let's make T= the number if trees...

If we're placing one tree every 12 feet for two miles, then:

T×(space between trees) = (number of miles)×(1mi.)

T×12ft. = 2×1mi. = 2×5280ft.

Dividing by 12ft. to isolate T gives us:

T=(2×5280)/12 = 880

So that'll be 880 trees for 2 miles of street.

The number of trees that they plant on 2 miles of streets will be 880 trees.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The city is planting new trees in its downtown to make the streets more comfortable for visitors.

They are planting each tree 12 feet apart.

Then the number of trees that they plant on 2 miles of streets will be  

We know the conversion of miles into feet.

  1 mile = 5280 feet

2 miles = 10560 feet

Then the number of trees will be

Number of trees = 10560 / 12

Number of trees = 880

More about the division link is given below.

https://brainly.com/question/369266

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Answer:

Option 3  (lower left)

Step-by-step explanation:

20

Is the answer because it is going up 3,4,5,6,7

Answer:

20

Step-by-step explanation:

The number being added is increased by 1.

2+3 = 5

5+4 = 9

9+5 = 14

14+6 = 20

20+7 = 27

Answer:

y = 4x + 57

Step-by-step explanation:

y = 4x + b

9 = 4(-12) + b

9 = -48 + b

57 = b

y = 4x + 57

Answer:

20

Step-by-step explanation:

Answer:

x = y = [tex]\sqrt{7\\}[/tex]

Step-by-step explanation:

[tex]\sqrt{7} ^{2} + \sqrt{7} ^{2} = \sqrt{14}^{2}\\7 + 7 = 14[/tex]

Answer:

A

Step-by-step explanation:

Answer:

w + 1.3 = 2.7

Answer:

200% of 4 = 8.

Of is a keyword for multiply.

200% x 4 = 8.

8 is less than 10.

Step-by-step explanation:

I hope that this answer had helped you to understand your question. If you have any further questions, please put them below.

Have a great rest of your day/night!

Answer:

m<UKJ = 80

Step-by-step explanation:

These angles are equal to each other because they're corresponding angles:

12x - 4 = 10x + 10

12x - 10x = 10 + 4

2x = 14

x = 7

m<UKJ:

12x - 4

12(7) - 4

84 - 4

80

Answer:

42,000

Step-by-step explanation:

1 gram = 1000 milligram

So, multiply.

42 × 1000 = 42,000

Have a great day!

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

42000 mg

1 gram = 1000

42 grams = 42 × 1000

42000mg.

Step-by-step explanation:

area of triangle=1/2 base×height

Answer:

7%

Step-by-step explanation:

Out of the 75 people who ordered a hot drink, only 5 ordered a small.

5/75 = 0.066 or 7%

Answer:

105°

cause You can measure an arc in degrees just like you measure an angle

Answer:

$1050

Step-by-step explanation:

$1000 + $50 = $1050

Answer:its D 8 -4 = 4

Step-by-step explanation:

Answer

1 [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

Answer:

1 3/8

Step-by-step explanation:

First, we have to make the fractions have the same denominator. 3/4= 6/8.

So, in all, they ate 13/8, or 1 5/8 of the pie. 3- 1 5/8= 1 3/8

Answer:

Measure of segment JL is 20 cm.

Step-by-step explanation:

By applying geometric mean theorem in the given right triangle,

[tex]\frac{JM}{KM}=\frac{KM}{ML}[/tex]

[tex](KM)^2=(LM)(ML)[/tex]

[tex]8^2=(JM)(4)[/tex]

[tex]JM=\frac{64}{4}[/tex]

[tex]JM=16[/tex]

Since, [tex]JL=JM+ML[/tex] [By segment addition postulate]

[tex]JL=16+4[/tex]

[tex]JL=20[/tex] cm

Therefore, measure of segment JL is 20 cm.

Answer:

volume = 684π m³ or 2148.85 m³

Step-by-step explanation:

volume = (π6² x 11) + (4/3π6³) = 396π + 288π = 684π m³ or 2148.85 m³

Answer:

b

Step-by-step explanation:

hope this helped

:))))))

The Interquartile range for the given data is 4.

The interquartile range is a measure of where the “middle fifty” is in a data set. Where a range is a measure of where the beginning and end are in a set, an interquartile range is a measure of where the bulk of the values lie.

Here,

Given data: 23, 24, 25, 27, 27, 28, 29, 30, 30, 31, 32, 37

First Quartile Q₁ = (n-1)/4 th term

                      Q₁ = (12-1)/4 th term

                      Q₁ = 11/4 th term

                      Q₁ = 2.75 th term

                      Q₁ = 26

Third Quartile Q₃ = 3(n-1)/4 th term

                        Q₃ = 3 X 11 / 4

                        Q₃ = 8.25th term

                        Q₃ = 8th term + 0.25 (9th term - 8th term)

                        Q₃ = 30 + 0.25 (30 -30 )

                        Q₃ = 30 + 0

                         Q₃ = 30

Interquartile range = (Q₃ - Q₁ ) = (30 - 26)

                                 = 4

Thus, the interquartile range = 4.

Learn more about Interquartile Range from:

https://brainly.com/question/4135956

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Answer:

x = 9.7    y = 11.4

Step-by-step explanation:

tan 45 = x/6

x = tan 45 (6)

= 9.7

c² = a² + b²

c² = 9.7² + 6²

= 94.09 + 36

= 130.09

= 11.4

Answer:

the first one

Step-by-step explanation:

the two lines intersect exactly at 5, -3

Answer:

Octagonal pyramid

Step-by-step explanation:

Answer:

It has 8 sides

Octagon has 8 sides

So Octagonal Pyramid

Answer:

step-by-step-explaination:

y=2.2

Answer:

15

Hope that this helps!