A garden is in the shape of a square of length 35 2/5 m. find its (i) perimeter and (ii) area.​

Answer:

One solution

Step-by-step explanation:

Set the equations equal to each other and solve for x:

[tex]y=2x+2,y=6x+2\\\\2x+2=6x+2\\2=4x+2\\0=4x\\x=0[/tex]

Therefore, there is only one solution

Answer:

Only one solution

Step-by-step explanation:

y = 2x + 2 -------------(I)

y = 6x + 2 --------------(II)

Substitute y =6x + 2 in equation (I)

6x + 2 = 2x +2

       6x = 2x + 2 - 2

       6x = 2x

6x - 2x = 0

       4x = 0

x = 0

Plugin x = 0 in equation (I)

y = 2*0 +2

y = 2

Solution: (0,2)

In statistics, the standard deviation (SD, also represented by the Greek letter sigma σ or the Latin letter s) is a measure that is used to quantify the amount of variation or dispersion of a set of data values.

Answer:

x ≈ 4.4

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{13}[/tex] ( multiply both sides by 13 )

13 × cos70° = x , then

x ≈ 4.4 ( to the nearest tenth )

Answer:

= 40

Step-by-step explanation:

so if you mean x = -8

[tex](x - 2)(x + 4) \times (x + 9) \\ [/tex]

[tex]( - 8 - 2)( - 8 + 4) \times ( - 8 + 9)[/tex]

[tex]( - 10)( - 4) \times 1[/tex]

[tex]40 \times 1[/tex]

[tex]40[/tex]

Answer:

Very low, as it means that 97% of people scored the same or higher than you.

Answer:

Step-by-step explanation:

2x - 3y = 14

x   + 3y = -11     Add the functions

3x  + 0y = 3    ----> x=1

2(1) - 3y = 14

2 - 3y = 14

-3y = 12

y = -4

Answer:

X= 1 Y= -4

(1, -4)

Answer:

16 square inches

Step-by-step explanation:

First, find the area of the square.

Area of a square = width x length = 2 x 2 = 4 in²

All the triangles are the same, so we need to find the area of one of the triangles and multiply it by 4.

Area of a triangle = 1/2 x base x height = 1/2 x 2 x 3 = 3 in²

So the total area of all 4 triangles = 4 x 3 = 12 in²

Therefore the total surface area = 4 + 12 = 16 in²

Focus at(7,-11)

Equation of directrix y=-3

So what can be told?

Equation of parabola

Answer:

The parabola is negative, with a vertex at (7, -7) and a line of symmetry at x = 7

Step-by-step explanation:

A parabola is set of all points in a plane which are an equal distance away from a given point (focus) and given line (directrix).

Let [tex](x_0,y_0)[/tex] be any point on the parabola.

Find an equation for the distance between [tex](x_0,y_0)[/tex] and the focus.  

Find an equation for the distance between [tex](x_0,y_0)[/tex] and directrix. Equate these two distance equations, simplify, and the simplified equation in [tex]x_0[/tex] and [tex]y_0[/tex] is equation of the parabola.

Distance between [tex](x_0,y_0)[/tex] and the focus (7, -11):

[tex]\sqrt{(x_0-7)^2+(y_0+11)^2}[/tex]

Distance between [tex](x_0,y_0)[/tex] and the directrix, y = -3:

[tex]|y_0+3|[/tex]

Equate the two distance expressions and simplify, making [tex]y_0[/tex] the subject:

[tex]\sqrt{(x_0-7)^2+(y_0+11)^2}=|y_0+3|[/tex]

[tex](x_0-7)^2+(y_0+11)^2=(y_0+3)^2[/tex]

[tex]{x_0}^2-14x_0+49+{y_0}^2+22y_0+121={y_0}^2+6y_0+9[/tex]

[tex]{x_0}^2-14x_0+16y_0+161=0[/tex]

[tex]y_0=-\frac{1}{16} {x_0}^2+\frac{7}{8} x_0-\frac{161}{16}[/tex]

This equation in [tex](x_0,y_0)[/tex] is true for all other values on the parabola so we can rewrite with [tex](x, y)[/tex]

Therefore, the equation of the parabola with focus (7, -11) and directrix is y = -3 is:

[tex]y=-\frac{1}{16} {x}^2+\frac{7}{8} x-\frac{161}{16}[/tex]

⇒ [tex]y=-\frac{1}{16} (x-7)^2-7[/tex]  (in vertex form)

So the parabola is negative, with a vertex at (7, -7) and a vertical line of symmetry at x = 7

Answer:

decimal 0.42

percent 42%

Answer:

Step-by-step explanation:

The slope formula is used to calculate the slope if you are given two points. Remember that slope is defined as rise/run. Which translates to the rise divided by the run. The slope formula will allow us to take the change in the rise and divide by the change in the run.

Answer:

A. Four floors above the ground floor.

Step-by-step explanation:

An elevator goes up and down. If you are at 0 and go up four floors, you would be at +4.

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

Kimtoya is riding according to the equation y = 12.5x, which is in slope-intercept form where the slope is 12.5, so her rate is 12.5.

now, Sidney's rate... hmmm we don't know, but we have her table ahaa!, well, let's use that to get the slope or rate for Sydney  let's pick two points from it hmmm say (2 , 25) and hmmm (5 , 62.5)

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{25})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{62.5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{62.5}-\stackrel{y1}{25}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{2}}}\implies \cfrac{37.5}{3}\implies 12.5[/tex]

holy molly!, whaddaya know, they're both riding at the same rate, 12.5 km/hr

60% of a number is 6 times 10% of that number.

10% of 82 = 8.2

(just move the decimal point one position to the left)

Then

60% of 82 = 6 × (10% of 82) = 6 × 8.2 = 49.2

since

6 × 8.2 = 6 × (8 + 0.2)

… = 6 × 8 + 6 × 0.2

… = 48 + 1.2

… = 49.2

Here we would be using the midpoint formula to find the co-ordinates of the line segment joining the two given points.

Given points,

★ We have :

★ Midpoint of two points:-

Now, refer to the attachment.

Additional Information :

★ Centroid of a triangle :-

★ Distance Formula :-

Visit more related questions—

Answer:

twelve

Step-by-step explanation:

The greatest common factor of all the coefficients is of 8.

The greatest common factor between multiple terms is the largest value for which all terms are divisible.

In this problem, the equation is:

[tex]h(x) = -16x^2 + 56x + 96[/tex]

The terms are 16, 56 and 96. Hence, to find the gcf, we have to keep factoring them by prime factors while all can be factored by the same value, hence:

16 - 56 - 96|2

8 - 28 - 48|2

4 - 14 - 24|2

1 - 7 - 12

There are no terms by which both 7 and 12 are divisible, hence the procedure is stopped and:

gcf(16, 56, 96) = 2³ = 8.

You can learn more about the greatest common factor at https://brainly.com/question/26140769

Answer:

90° is the smallest amount you need to rotate the image for it to look the same.

The smallest no. of degrees we need to rotate this image to look the same is 45°.

Rotational symmetry is a property of a given figure is when it is rotated about some degrees it looks the same as before we can rotate it by 0°≤Ф<360°.

According to the given question

The image has rotational symmetry.

We can think of this image as a circle

∴ A complete circle has 360°

The figure has 8 wings.

So, the smallest no. degrees that can be rotated that makes this figure satisfying rotational symmetry is

360/8

=45°

Learn more about rotational symmetry here :

https://brainly.com/question/1531736

#SPJ2

Answer:

b c d e

Step-by-step explanation:

Answer:

bcde

Step-by-step explanation:

Answer:

88%

Step-by-step explanation:

A total of 40 questions.

35 divided by 40 = .88 or 88%

Answer:

A) i 346.5

ii 346.5

B) I 115 tickets

ii $430

iii 4.88%

C) 129

Step-by-step explanation:

your friend is closer to the school (b)

it's graph covers less area..

Answer: A. is the correct answer. Because 2.5% of $175,000.

Answer:

First clear your question please.

Step-by-step explanation:

°Answer:

Angle XZY is an inscribed angle, so it's equal to the sum of arcs VW and XY, divided by two. These measures are given. So XZY= (63+59)/2

                                                                                     XZY = 61°

Arc BA is an arc involved with an exterior angle. Its measure is equal a number minus 36, divided by two. That number is 144. Arc AB= 144°

The correct option is B which is the GFC is [tex]\rm 3m^2n[/tex].

The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers.

To find the GCF of the two terms, the continuous division must be done.

Therefore,

The GFC is;

[tex]\rm= \dfrac{81m^5 n }{48 m^2} \times n^2 \\\\= \dfrac{27}{16 }\dfrac{ m^3}{n}[/tex]

Here 3 is the common factor for the coefficient.

So, the common factor is;

[tex]\rm \dfrac{81}{27}=3\\\\\dfrac{m^5}{m^3}=m^2\\\\\dfrac{n^2}{n}=n[/tex]

Hence, The correct option is B which is the GFC is [tex]\rm 3m^2n[/tex].

To know more about GFC click the link given below.

https://brainly.com/question/521142

Answer:

b

Step-by-step explanation:

Answer:

67.64

Step-by-step explanation:

Answer:

1)5873 x 4=23492

2)5000 x 4=20000

3)800 x 4=3200

4)70 x 4=280

5)3 x 4=12

Step-by-step explanation: