Bailey writes the expression g2 + 14g + 40 to represent the area of a planned school garden in square feet. What factors can be used to find the dimensions of her garden?


(g−4)(g−10)


(g+4)(g+10)

(g+4)(g−10)

(g−4)(g+10)

Cramer's rule is an explicit formula for the solution of a system of linear equations. That has many equations as unknowns and valid whenever the system has a unique solution. 

Answer:

Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.

Answer:

x - 10

Step-by-step explanation:

The original volume is x, and 10 is removed.

In mathematical terms, this is expressed as x - 10.

Answer: 100.5

Step-by-step explanation:

multiply 3.14 by 2 to the 2nd power by 8. so first 2 to the second power is 4. Then 4x8 is 32. Final step is to multiply 3.14 by 32 to get 100.48. Then you gotta round to get 100.5.

Answer:

[tex]6ft^2[/tex]

Step-by-step explanation:

The formula to find the area of a triangle:  [tex]A=\frac{1}{2} bh[/tex]

The base is 4 because 2 + 2 = 4

[tex]A=\frac{1}{2}( 4)(3)[/tex]

[tex]A=\frac{1}{2} (12)[/tex]

[tex]A=6[/tex]

Hope this helps

Answer:

A) The first one for whole triangle = 6ft^2

or

B) The second one for blue  = 3ft^2

Step-by-step explanation:

T1 Area = 1/2 x 3 x 4 = 6ft^2

T2 Area = 1/2 x 3 x 2 = 3ft^2

T3 Blue Area = 6-3 = 3ft^2

6576 cm2

See the image encrypted above.

Answer:

Answer:

16p^2 - 9

Step-by-step explanation:

Use FOIL method of multiplication

Answer:

LN and NK

Step-by-step explanation:

line LK was bisected (cut in half) by JM

the segment created by the bisector will be congruent

Answer:

sorry only doing the ones im sure of

a)

FBC is half the circle, so the angle would = 180.

180 - 135 = 45, so thats the angle between BC

its a vertical angle, so it would be the same on the other side, between FE

the only angle left is betweeen DC, so add them all up and minus by 360

360 - 306 = 54

b)

a triangle's angles add up to 180, so

49 + 70 = 119

180 - 119 = 61

since this is an inscribed angle that isnt connected to the center, the arc will be double the angle

so ? = 122

d)

5(8) = 40

40/4 = 10

x = 10

f)

the rest of the circle is 243 bc 360-117=243

243 - 177 = 126

126/2 = 63

Step-by-step explanation:

given pi value= 3

radius=7

we know,

area of a circle(A)= πr²

= 3×7²

=147cm²

Answer:

A = 147 cm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Circle Formula: A = πr²

Step-by-step explanation:

Step 1: Define

Identify

r = 7 cm

Step 2: Find Area

Answer:

4 < k < 12

Step-by-step explanation:

The given function is y = 2·x² + k·x + 2·k - 6

Where the curve lies above the x-axis for all values of x, the function does not have a root and the discriminant, Δ, is negative, to give complex roots

∴ The discriminant Δ = k² - 4·2·(2·k - 6) < 0

k² - 4·2·(2·k - 6) = k² - 16·k + 48 < 0

(k - 12)·(k - 4) < 0

∴ k < 12 or k > 4 given that by substitution, we have;

When k = 3  < 4

k² - 16·k + 48 =  3² - 16×3 + 48 = 9 > 0

Also the product of two negative numbers is larger than 0

Therefore, the set of values of k for which the curve lies above the x-axis for all values of x is 4 < k < 12

Answer:

10 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

let h be hypotenuse, then

h² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )

h = [tex]\sqrt{100}[/tex] = 10

The hypotenuse is 10 ft

Answer:

the answer is 10 but you can ask your friends too

Step-by-step explanation:

h=p2+b2

root under 8 square +6 sqaure

root under 64±36

root Under 100

equals 10

i uses to learn like this but I'm not sure

Answer:

sin60°+cos30/tan30*tan60

1/2+√3/2/1

1+√3/2

Answer:

10x^2 - 3x -18

Step-by-step explanation:

if you meant (2x-3)(5x+6), you just multiply out

Answer:

Step-by-step explanation:

Use FOIL method

(2x - 3)(5x + 6) = 2x*5x + 2x*6 + (-3)*5x  + (-3) *6

                        = 10x² + 12x - 15x  - 18 {Combine like terms}

                        = 10x² - 3x - 18

Like terms are terms that have same variable with same power.

Answer:

Z = {-1, 0, 1}

"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."

Step-by-step explanation:

I guess that here we have:

Z = {x : x ∈ integers /  -2 < x < 2}

From this we know that:

Z contains only integer numbers.

Z contains only integer numbers that are larger than -2, and smaller than 2

Let's find these integers:

-1 is larger than -2 and smaller than 2

0 is larger than -2 and smaller than 2

1 is larger than -2 and smaller than 2

So our set is:

Z = {-1, 0, 1}

And in description method (just using words)

"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."

Answer:

8, 10, 12

Step-by-step explanation:

3 consecutive even integers are 8, 10, 12

8 + 10 + 12 = 30.

Answer:

8, 10 ,12

Step-by-step explanation:

Let x be the first integer

x+2 is the second

x+4 is the third

The sum is 30

x+ x+2 + x+4 = 30

Combine like terms

3x+6 = 30

Subtract 6 from each side

3x+6 -6 =30-6

3x = 24

Divide by 6

3x/6 = 24/6

x = 8

x, x+2, x+4  is 8, 8+2, 8+4,

8, 10 ,12

Answer:

[tex]18cm[/tex]

Step-by-step explanation:

A of triangle =

[tex] \frac{1}{2} bh[/tex]

[tex] \frac{1}{2} \times 9 \times 8[/tex]

[tex] = 36cm2[/tex]

A of square=

[tex]s2[/tex]

[tex]36 = s2[/tex]

[tex] \sqrt{36cm2} = \sqrt{s2} [/tex]

[tex]18cm = s[/tex]

Answer: A. Sea otter (5 meters below sea level) Fish(1 meter below sea level) and Bird (4 meters above sea level)

B. Fish is closest to sea level by only 1 meter, Bird is 4 meters above sea level, so it would be second, and Sea Otter is the farthest from Sea level because it is 5 meters under sea level

Step-by-step explanation: that is my explanation, and to explain what i said, 0 is sea-level

Answer:

It would take 312 bottles to make one dozen suits.

Step-by-step explanation:

One dozen suits = 12 suits.

As each suit costs 26 plastic soda bottles to make, we simply multiply 26 bottles by 12 suits to get 312 bottles.

Answer:

24 brushes

Step-by-step explanation:

Given data

cost per brush= $19.90

Amount made =$477.60

hence the number of brushes sold is given as

Number of brushes= 477.60/19.90

Number of brushes= 477.60/19.90

Number of brushes= 24 brushes

Answer:

20

Step-by-step explanation:

lol

Answer:

20

Step-by-step explanation:

Answer:

1/12 of the area of the circle

Step-by-step explanation:

Since the total angle measure of a circle is 360 degrees, a 30 degree sector is 30/360=1/12

Answer:

[tex]1) y=\frac{1}{2} x+1[/tex]

[tex]2)y=-x-1[/tex]

[tex]3)y=-\frac{1}{2} -3[/tex]

Step-by-step explanation:

Hope this helps

Answer:

The LCM of 3a and 2b = 6P

Step-by-step explanation:

LCM of  3 a  and  2 b  will be  6 p

Since  a  is odd, which means it's not divisible by 2. Therefore a can be number 1, 3, 5, 7, 9, 11, .......

b  is not divisible by  3, which means b can be number 1, 2, 4, 5, 7, 8, 10, 11, .....

LCM of a and b is P

Factors of 2b can be 2 multiplied by (1, 2, 4, 5, 7, 8, 10, 11, ..... )  

Factors of 3a can be 3 multiplied by (1, 3, 5, 7, 9, 11, .......)

So, to get the LCM of 3a and 2b, since we already show the factors of a and b, Then, 3 X 2 X P (remember P is the LCM of a and b)

The LCM of 3a and 2b = 6P

Answer:

$625.6

Step-by-step explanation:

Information about the holiday:

7 night holiday

$340 per person

8% discount if you book before 31 March

Number of people Naseem booked the holiday for = 2

Date of booking of the holiday = 15 February

Total cost of the holiday per person = cost per person - discount before March 31

= $340 - 8% of $340

= 340 - 8/100 * 340

= 340 - 0.08 * 340

= 340 - 27.2

= $312.8

Total cost of the holiday for 2 persons = 2 × Total cost of the holiday per person

= 2 * $312.8

= $625.6

Answer:

The 8th graph.

Step-by-step explanation:

It has a horizontal line over two which indicates that the y axis is known and over 2.

The required graph of the given inequality y > 2 is shown in the attached file, which is the correct answer that would be an option (H).

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been the given  inequality y > 2

Plot the "y=" line (a solid line for y or y, and a dashed line for y or y>). The shade above the line for a "greater than" (y> or y), or below the line for a "less than" (y or y).

It has a horizontal line over two which represents that the y-axis is known and over 2 in the attached graph.

Therefore, the required graph of the given inequality y > 2 is shown in the attached file.

Hence, the correct answer would be option (H).

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

Answer:

(12,0)

Step-by-step explanation:

So whenever you are asked for an "intercept" it is the point where a line crosses the axis. The x intercept is where the line crosses at the x axis (horizontal line on the graph) and the y intercept is where the y axis crosses (vertical axis).

So this question is really asking where is the point when y = 0

The x values in the chart are 5 apart-- 22 +5 = 27, 27+ 5 = 32

The y values are 18 apart --> 36 + 18 = 54, 54+ 18 = 72

Make a little chart where y = 0 (this is where the x crosses) and you can see

there is a point at (17, 18) and then (12, 0) and that point is the x intercept.

Answer:

(12, 0)

Step-by-step explanation:

the x-intercept is the point, where y=0.

so, the second coordinate is therefore 0, no matter what.

now, at what x is that ?

let's find the line function.

a line is

y = a×x + b

let's use the first point (22, 36)

36 = a×22 + b

a = (36 - b)/22

let's use the second point (27, 54)

54 = a×27 + b

now we use the first expression describing a in terms of b and insert that into the second expression.

54 = 27×(36 - b)/22 + b

54×22 = 27×(36 - b) + 22b = 972 - 27b + 22b

1188 = 972 - 5b

216 = -5b

b = -43.2

=>

a = (36 - -43.2)/22 = (36 + 43.2)/22 =79.2/22 = 3.6

our line is

y = 3.6x - 43.2

so, now back to the question, at what x is y=0 ?

0 = 3.6x - 43.2

3.6x = 43.2

x = 12

Answer:

i)

Odd numbers:

P(odd and odd) = 3/6*3/6 = 1/4

ii)

Total outcomes:

Sum of 8:

Sum of 12:

P(8 or 12) = 5/36 + 1/36 = 6/36 = 1/6

iii)

Prime numbers:

Odd numbers:

P(prime or odd) = 3/6*3/6 + 3/6*3/6 = 1/4 + 1/4 = 1/2

Answer:

25+40x=195

Step-by-step explanation:

If he already has $25, you need to add that to 40x (40 times the amount of weeks it takes to get to 195, added with 25).