A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will
need. The garden is in the shape of a rectangle with vertices at (3,9) (5, 9) (3, 3) (5,3). Find the total length of border
needed.

Answer:

Step-by-step explanation:

there is no soltion because it is not intersects

Answer:

No solution as it will not intersect.

Answer:

a) 2 -2 -4 -4 -2 2 8

b) graph B

c) x = -2.55 or x=1.55

Step-by-step explanation:

a) just fill in the x values

b) look at x=0, you'll find y=-4. Only graph B goes through (0, -4)

c) estimate where graph B passes through the x axis.

Answer:

Read below.

Step-by-step explanation:

x will represent the number

[tex]\frac{1}{2} x-7=1\frac{5}{10} \\\\\frac{1}{2} x-7=1\frac{1}{2}\\\\x-14=3\\\\x=17[/tex]

I don't know you answer choices because they don't really make sense but change them and I'll edit this. Or it could already be one in my working.

Answer: 50%

Step-by-step explanation:

I'm converting 7kg to grams to make it easier. So £10 = 7000g

£1 = 7000÷10 = 700g

700g÷2 = 350g and if you follow the ratios on top, she payed 50p per 350g

She sells a bag of 350g for 75p.

Percentage profit=[tex]\frac{Change in cost}{original cost}[/tex] × 100

75p - 50p = 25p = change in cost

Percentage profit= [tex]\frac{25}{50}[/tex] × 100

= 50%

Answer:

Step-by-step explanation:

A) These are the squares of another number or we can say the prime numbers

B) THE NEXT NUMBER IN THE SEQUENCE IS 9 BECAUSE ALL THESE ARE SQUARES OF 8 7 6 5 4 AND THE LAST ONE WILL BE 9

Answer:

a = 94

b = -66√3

Step-by-step explanation:

Given  z = [tex]-1-i\sqrt{3}[/tex]

[tex]z^{6}=(z^{3})^{2}[/tex]

[tex](-1-i\sqrt{3})^6=[(-1-i\sqrt{3})^3]^2[/tex]

                   [tex]=[-(1+i\sqrt{3})^3]^{2}[/tex]

                   [tex]=[(1+i\sqrt{3})^3]^2[/tex]

                   [tex]=[(1)^3+(i\sqrt{3})^3+3(1)^2(i\sqrt{3})+3(1)(i\sqrt{3})^2]^2[/tex] [(a + b)³ = a³ + b³ + 3a²b + 3ab²]

                   = [1 + 3i² + 3i√3 + 9i²]²

                   = [1 - 3 + 3i√3 - 9]²

                   = [-11 + 3i√3]²

                   = (11)² -2(3i√3)(11) + (3i√3)²

                   = 121 - 66i√3 + 27i²

                   = 121 - 66i√3 - 27

                   = (94 - 66i√3)

Comparing it with (a + bi),

a = 94 and  b = -66√3

Answer:

Step-by-step explanation:

Not liking rock mostly doesn't effect not liking just rap, since half like both rock and rap.

Though, there are 2 more people that like just rock compared to just rap, so you are more likely to like just rock.

Additionally, if you don't like rock, there is a 31.4 % that you don't like rap as well, since 17 people like neither.

Answer:B

Step-by-step explanation:

Answer:

The real correct answer is C

Step-by-step explanation:

Step-by-step explanation:

Graphing Linear Inequalities

This is a graph of a linear inequality:

linear inequality y <= x +2

The inequality y ≤ x + 2

You can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2

Linear Inequality

A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...

... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.

How to Graph a Linear Inequality

First, graph the "equals" line, then shade in the correct area.

There are three steps:

Rearrange the equation so "y" is on the left and everything else on the right.

Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

Shade above the line for a "greater than" (y> or y≥)

or below the line for a "less than" (y< or y≤).

Let us try some examples:

Example: y≤2x-1

1. The inequality already has "y" on the left and everything else on the right, so no need to rearrange

2. Plot y=2x-1 (as a solid line because y≤ includes equal to)

They are Parallel, Intersecting, and perpendicular, if it's helpful let me know

Answer:

they are 2 lines that look ;like this =

Step-by-step explanation: the 2 lines of the equal sign are parallel

Answer:

m∠1 = 90°

m∠2 = 55°

Step-by-step explanation:

1. m∠1 = 90° because by definition, the diagonals of a rhombus are perpendicular, or intersect at 90°.

2. Because of vertical angles, the angle opposite of ∠1 is also 90°. A triangle has a total of 180°.

m∠2 + 90 + 35 = 180

90 + 35 = 125

m∠2 + 125 = 180

subtract 125 from both sides to solve for m∠2

m∠2 = 55°

Answer:

= 12.56 m

Step-by-step explanation:

The circumference is found by

C = 2* pi *r

C = 2 * 3.14 * (2)

   = 12.56 m

Answer:

12.56 meters

Step-by-step explanation:

The circumference of a circle can be found using the following formula.

c= d* pi

We are given the radius. First, we must find the diameter. The diameter is twice the radius.

d=2*r

We know the radius is 2 meters. Therefore, we can substitute 2 in for r.

d=2*2

Multiply 2 and 2

d=4

The diameter is 4 meters.

Now we know the diameter, and can substitute 4 in for d in the circumference formula.

c= d* pi

d= 4 m

c= 4 m* pi

We also know we are using 3.14 for pi, so we can plug 3.14 in for pi.

c= 4 m * 3.14

c=12.56 m

The circumference of the circle is 12.56 meters.

Answer:

Sorry your mouse is blocking the fx equation. Is it x squared? I can't help you if I can't see what the equation is I'm sorry

Step-by-step explanation:

Answer:

45 people prefered coffee, 81 people prefered tea. A total of 126 people were surveyed.

Step-by-step explanation:

Let t be the people who prefer tea, and let c be the people who prefer coffee.

The ratio between tea and coffee is 9:5, thus we have t/c=9/5. Cross products  give us 5t=9c.

Also, we have 36 more people prefer tea than coffee, so we have c+36=t

Thus we have: 5(c+36)=9c

5c+180=9c

180=4c

c=45

c+36=t

45+36=81

Answer:

There are 640 pigs after 5 years.

Step-by-step explanation:

if it doubles each year the first year it doubles it is 40 then the second 80 third 160 fourth 320 and fifth 640.

graph it by having the X axis the years and the Y axis do it by 40s

Answer:

2/3

Step-by-step explanation:

f(x)=g(x)

-3x+4=2

Add 3x

3x+2=4

subtract 2

3x=2

divide by 3

x=2/3

Answer:

x= 2/3

Step-by-step explanation:

The value where f(x) = g(x) is where the two functions intersect

That would be at

f(x) = g(x)

-3x +4 = 2

Subtract 2 from each side

-3x = -2

x = 2/3

We know the y value.  Substitute x into the equation

g(2/3) = 2

y = 2

The point is (2/3,2)

Answer:

Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

7-24-25

7² + 24² = 25²

49 + 576 = 625

625 = 625

9-40-41

9² + 40² = 41²

81 + 1600 = 1681

1681 = 1681

Answer: See Explanation

Step-by-step explanation:

Pythagoras' theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex].

So [tex]7^{2}[/tex] (49) + [tex]24^{2}[/tex] (576) = [tex]25^{2}[/tex] (625)

Same goes for the other one. It is always the smallest number squared (smallest side of triangle) + the middle number squared (middle length side of triangle, = the biggest side/number squared.

Answer:

Area is 113.097

Step-by-step explanation:

Answer:

113.10 ft²

Step-by-step explanation:

Area of the circle is equal to πr².

Where r is the radius. The radius of the circle is 6 feet.

π(6)²

36π = 113.097336

The area of the circle is 113.10 ft² approximately.

Answer: B) increasing for x < -4/3 and x > 4/3

                   decreasing for -4/3 < x < 4/3

Step-by-step explanation:

Graph the equation and follow the curve from left to right. If you are going up, it is increasing. If you are going down, it is decreasing.

Refer to the image below. Red is increasing. Blue is decreasing.

The vertices are at: x = -4/3 and x = 4/3

Answer:  C

Step-by-step explanation:

Translating  A'B'C' to A''B''C'' doesn't change the position of the vertices  and to make it smaller you have dilate the figure because that is the only way to change the size of a shape.  

.Reflecting the figure  changes the position of the vertices so A and D can't be an answer choice.

Answer:

B (10, 5)

Step-by-step explanation:

We simply set the midpoint equal to each of its respective variable equation in [tex]m = (\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]

Step 1: Solve x

4 = (-2 + x)/2

8 = -2 + x

x = 10

Step 2: Solve y

3 = (1 + y)/2

6 = 1 + y

y = 5

Put it in coordinates and we have our final answer!

Answer:

B(10,5)

Step-by-step explanation:

You already have A and M so you just find the difference and add it to M.  That is my way of getting the answer.  I am taking the Honors Geometry class in 6th grade.  

Answer:

27°

Step-by-step explanation:

Angle ABC is 90°

ACB is 63 because it is vertically opposite angle GCJ

Angle CAB is 27° (90-63)

angle x is 27° (vertically opposite CAB)

Answer:

14

Step-by-step explanation:

From the question we are given the first term 8,second term 11 and we are to find the third term.

Using the formula:Tn=a+(n-1)d

Where a=first term=8

n=number of terms =3

d= difference between terms( second term -first term)=11-8=3

T3=8+(3-1)3

=8+2(3)

=8+6

The next term =14

Answer:

The smaller exterior angle is the exterior angle in the vertex P, and it measures 90°

Step-by-step explanation:

The sum of the internal angles of a triangle needs to be 180 degrees, so we have two equations:

[tex]mP = mQ + mR[/tex]

[tex]mP + mQ + mR = 180\°[/tex]

Substituting [tex]mQ + mR[/tex] by [tex]mP[/tex] in the second equation, we have:

[tex]mP + mP = 180\°[/tex]

[tex]mP = 90\°[/tex]

The other two angles need to be lesser than mP, and the exterior angle is the supplement of the internal angle, so the bigger the internal angle, the smaller the exterior angle.

So if the bigger internal angle in this triangle is mP, the smaller exterior angle is also the angle in the vertex P:

[tex]exteriorP = 180\° - mP[/tex]

[tex]exteriorP = 90\°[/tex]

Hey there! :)

Answer:

(2, -2)

Step-by-step explanation:

-2x + y = -6

4x + 3y = 2

We can begin by setting the first equation equal to y:

-2x + y = -6

Add 2x to both sides:

y = 2x - 6

Plug this equation for y into the second equation:

4x + 3(2x - 6) = 2

Distribute:

4x + 6x - 18 = 2

Combine like terms:

10x = 20

x = 2

Plug the value of 'x' into an equation to solve for 'y':

-2(2) + y = -6

-4 + y = -6

y = -2

Therefore, the solution is (2, -2)

Answer:

32

Step-by-step explanation:

k

Answer:

hope this helps, take care, stay safe, keep smiling

Step-by-step explanation:

i see 40 squares

Answer:

Area of ΔXYZ = 35.499 cm²

Step-by-step explanation:

From the figure attached,

In triangle XOY,

Sin38° = [tex]\frac{\text{OX}}{\text{XY}}[/tex]

OX = (XY)Sin38°

OX = (9.3)Sin38°

      = 5.7257 cm

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                             = [tex]\frac{1}{2}(\text{YZ})(\text{OX})[/tex]

                             = [tex]\frac{1}{2}(12.4)(5.7257)[/tex]

                             = 35.499 square cm

Therefore, area of the given triangle XYZ = 35.499 cm².

Answer:

A.

Step-by-step explanation:

Diameter = 4.4 cm

Radius = 2.2 cm

Now

Area of the circle = πr²

= (3.14)(2.2)²

= (3.14)(4.84)

= 15.1976 cm²

Answer:

A.

Step-by-step explanation:

D=4.4, therefore, the Radius is equal to 2.2, half of the diameter.

The formula for Area:

A=pir^2.

A=(3.14)(2.2)^2

A=(3.14)(4.84)

A=15.1976

A=15.1976, which is identical to option A.