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Answer:

12x^3y^5

Step-by-step explanation:

4x^2y^3 × 3xy^2 = 12x^3y^5

The slope of line PO and MN is 0.5. And the slope of the line ON and MP is negative 2. Then each length of the quadrilateral is 4.47 units.

It is a quadrilateral with four sides. The total interior angle is 360 degrees.

The points M(−7,2), N(−3,4), O(−5,8), and P(−9,6) form a quadrilateral.

Then the slope of each line of the quadrilateral will be

The slope of the line PO will be

PO = (8-6)/(-5+9)

PO = 2/4

PO = 0.5

The slope of the line ON will be

ON = (8-4)/(-5+3)

ON = 4/(-2)

ON = -2

The slope of the line MN will be

MN = (4-2)/(-3+7)

MN = 2/4

MN = 0.5

The slope of the line MP will be

MP = (6-2)/(-9+7)

MP = 4/(-2)

MP  = -2

Then each length of the quadrilateral will be

The length of PO will be

PO = √[(-9+5)² + (6-8)²]

PO = 4.47

The length of ON will be

ON = √[(-5+3)² + (8-4)²]

ON = 4.47

The length of MN will be

MN = √[(-3+7)² + (4-2)²]

MN = 4.47

The length of MP will be

MP = √[(-9+7)² + (6-2)²]

MP = 4.47

More about the quadrilateral link is given below.

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Answer:

1.7 meters

Step-by-step explanation:

because an equilateral triangle has 3 sides and they are all the same you can just divide 5.1 by 3

5.1 / 3 = 1.7

it is 1.7 m

Answer:

x are sides of the traingle

5.1 = 51upon10 51/10

51 upon 10 =3x

3x = 51 upon 10

x= 3/51 upon 10 =

x= 3*10upon 51

=10upon 17

side of the traingle is 10/17

Step-by-step explanation:

Answer: 1.8 or 180%

Step-by-step explanation:

Step-by-step explanation:

2 things to remember :

1. the sum of all angles in a triangle is always 180°.

2. the sum of all angles around a single point on one side of a line is also 180° (because the line can be seen as the diameter of a circle, the point as its center, and so every side of the line is a half-circle = 180°).

so, the third, unnamed angle in the triangle is the supplementary angle to 142° (that means they complete each other to full 180°).

it is therefore

180 - 142 = 38°

and then, inside the triangle

180 = 66 + x + 38 = 104 + x

x = 76°

Answer:

it would be six square yards or add all the numbers and your total will be it

Step-by-step explanation:

Answer:

2 3/4 miles more

Step-by-step explanation:

5 - 2 1/4 = 2 3/4

Answer:

the top two are correct and the third one is the yogurt

Answer:

85% of 200 = 170

Step-by-step explanation:

Method

Let the number = x

60/100 * x = 120

0.6 x = 120                  Divide by 0.6

0.6x/0.6 = 120/0.6    

x = 200

25% x = 50                  Convert 25% to a fraction

25/100 x = 50

0.25x = 50                  Divide by 0.25

0.25x/0.25 = 50/0.25

x = 200

85% 200 = x               Change 85% to a fraction

85/100 * 200 = x        Multiply 85 and 200 together

17000 /100 = x          Divide by 100

170 = x

Answer

85% of 200 = 170

Answer:

58,187.5 m²

Step-by-step explanation:

1 cm : 25 m

7 cm = 25 × 7 m

7 × 25 = 175 m

13.3 × 25 = 332.5 m

area = 332.5 m × 175 m

Answer:

2 is fuction

3 fuction

4 is not a fuction

5 not a fuction

6 is fuction

7 fuction

8 not a fuction

9 fuction

10 fuction

Step-by-step explanation:

the x's should not be repeated

Answer:

$1,210

Step-by-step explanation:

$28,000 - $2,100 = $25,900

$25,900 - $5,000 = $20,900

1.5% × $1,000 = $15

3% × $2,000 = $60

4.5% × $2,000 = $90

5% × $20,900 = $1,045

$15 + $60 + $90 + $1,045 = $1,210

Answers:

===================================================

Explanation:

The figure is a polygon because it's composed of straight lines only, and we have a closed loop (or enclosed area).

This is a pentagon since it has 5 sides

The pentagon is concave because of the angle kicked in up top that caves in, so to speak. This interior angle exceeds 180 degrees and is known as a reflex angle.

Here's another way to determine the figure is concave: It's possible to pick two points inside the polygon such that the segment formed between them crosses outside the boundaries. See the diagram below.

Answer:

Step-by-step explanation:

Step 1:

Step 2:

Pull out like factors:

Solution to this question:

Answer:

2x-3y

Step-by-step explanation:

-1/4×-8x= 8/4x = 2x

-1/4×12y= - 12y/4 = -3y

2x-3y

Hello!

[tex]\sf 3x^2-5x-7=0\\\\x = \dfrac{-b\±\sqrt{b^{2}-4ac } }{2a} \\\\\\x = \dfrac{-(-5)\±\sqrt{(-5)^{2}-4 ~\times~3~\times~ (-7) } }{2~\times~ (-5)} \\\\\\\boxed{\sf x = \dfrac{5\±\sqrt{109} }{-10}}[/tex]

Using scientific notation, the power of 10 that should be put on the label is of [tex]10^7[/tex], hence x = 7.

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

In this problem, we don't want to increase the base values much. Panama's population can be represented as:

[tex]4 \times 10^6 = 0.4 \times 10^7[/tex]

Hence, the power of 10 that should be put on the label is of [tex]10^7[/tex], hence x = 7.

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The Z score is -2 if the standardized exam, the scores are normally distributed with a mean of 21 and a standard deviation of 4.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have:

u = 21

SD = 4

X = 13

[tex]\rm Z = \dfrac{13-21}{4}[/tex]

Z = -2

Thus, the Z score is -2 if the standardized exam, the scores are normally distributed with a mean of 21 and a standard deviation of 4.

Learn more about the normal distribution here:

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Answer:

16820.16 dollar.

Step-by-step explanation:

future =present value *(1+i)^n

n=1 year.

Step-by-step explanation:

the slope-intercept form is

y = ax + b

"a" is the slope (the slope is in all forms the factor of x). and "b" is the y-intercept (the y value when x = 0).

so the first equation is

y = -5x + b

b we get by using the point coordinates :

-22 = -5×5 + b = -25 + b

b = 3

so, the full equation is

y = -5x + 3

for the second equation we need to calculate the slope first. remember, it is the ratio "y coordinate change / x coordinate change" :

x changes by +1 (from -4 to -3).

y changes by +7 (from -2 to 5).

the slope is +7/+1 = 7/1 = 7.

the equation looks like

y = 7x + b

again, we use the coordinates of a point to get b. I picked (-4, -2) :

-2 = 7×-4 + b = -28 + b

b = 26

and the full equation is

y = 7x + 26

Answer:

-3.75

-0.55

-0.5

-0.3

-0.2

Step-by-step explanation:

-3% = -0.3

-1/2 = -0.5

-1/5 = -0.2

-3.75

-0.55

Answer:

See below ~

Step-by-step explanation:

Formula to find shaded area :

Kindly check and refer this working to find a satisfactory expression.

Area

Answer:

3. [tex]384\ square\ inches[/tex]

Step-by-step explanation:

To solve this, find the areas of the smaller geometric shapes and add them together.

1. Rectangle (top)

[tex]A_1 = lw = 20 * 5 = 100[/tex]

2. Rectangle (middle)

[tex]A_2 = lw = 20 * 8 = 160[/tex]

3. Rectangle (bottom)

[tex]A_3 = lw = 20 * 5 = 100[/tex]

4. Triangle (left)

[tex]A_4 = \frac{bh}{2} = \frac{8*3}{2} = \frac{24}{2} = 12[/tex]

4. Triangle (right)

[tex]A_5 = \frac{bh}{2} = \frac{8*3}{2} = \frac{24}{2} = 12[/tex]

Add the areas together for the total surface area.

[tex]A_t = 100 + 160 + 100 + 12 + 12 = 384[/tex]

Answer:

2

Step-by-step explanation:

To find the amplitude, find the distance between the the highest and lowest y value and divide it by 2.

[tex] | \frac{2 - ( - 2)}{2} | = 2[/tex]

The amplitude of the function is 2.

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