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D. A dashed line is used when the inequality is strict ​( < or > ​)

A linear inequality in two variables is obtained by taking a linear equation in two variables, and replacing the equality sign with any one of the four inequality signs: <,>,=<,>=.

The graphed region of points satisfying the inequality is always half of the plane bounded by the corresponding line.

When the inequality is [tex]\leq[/tex] or [tex]\geq[/tex], the line is included. Otherwise, the line is excluded.

So, A dashed line is used when the inequality is strict ​( < or > ​) is not true about the boundary line in the graph of a linear inequality in two​ variables

Therefore, the correct option is D.

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Answer:

Step-by-step explanation:

Parallel lines have same slope.

y= mx + b

Slope = m  & b = y-intercept

y = 3/4 x - 1

m = 3/4 ;   (-4 , -1)

y - y1 = m(x - x1)

[tex]y - [-1]=\frac{3}{4}(x -[-4])\\\\y + 1 = \frac{3}{4}(x+4)\\\\y +1 = \frac{3}{4}*x + 4*\frac{3}{4}\\\\y + 1 = \frac{3}{4}x+3\\\\y =\frac{3}{4}x+3-1\\\\y =\frac{3}{4}x+2[/tex]

Answer:

[tex]6\sqrt{3[/tex]

Step-by-step explanation:

Answer:

[tex]the \: area \: of \: the \: logo \: is \: {91cm}^{2} [/tex]

Step-by-step explanation:

To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.

Area of the square.

To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

[tex]a = {a}^{2} [/tex]

Where "a" is the length of one of its side.

The side length of the square is a=7cm, so its area will be:

[tex]asquare = {7}^{2} \\ asquare = {49cm}^{2} [/tex]

Area of the triangles.

The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.

To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

[tex]a = \frac{b.h}{2} \\ a = \frac{7.4}{2} \\ a = \frac{28}{2} \\ a = {14cm}^{2} [/tex]

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

[tex]atriangles = 3a \\ atriangles = {42cm}^{2} [/tex]

Now that the area of all shape are calculated, you have to add them to determine the area of the logo:

[tex]alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo = {91cm}^{2} [/tex]

Answer:

x<3

Step-by-step explanation:

5x+12+3x<36

First subtract 12 from both sides.

5x+3x<24

Next combine like terms on the left side (5x and 3x)

8x<24

Next divide 8 from both sides

x<3

Answer:

224cm squared

Step-by-step explanation:

The area of the parallelogram is 32 cm².

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

The area of a parallelogram is base x height.

We have,

Area of a parallelogram.

= base x height _____(A)

Now,

Base = 8 cm ____(1)

Height = 4 cm ____(2

Now,

Substitute (1) and (2) in (A).

Area = 8 x 4

Area = 32 cm²

Thus,

The area of the parallelogram is 32 cm².

Learn more about parallelograms here:

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#SPJ2

Answer:

r [tex]\leq[/tex] -0.9

Step-by-step explanation:

hope this helped

Answer:

y=[tex]\frac{3}{-4}[/tex]x+2

Step-by-step explanation:

Use equation M= [tex]\frac{y2-y1}{x2-x1}[/tex]

this will give you the slope of the line.

to get b which is the y intercept take the y intercept which is 2

Answer:

Jayden: 9t+3s=420

Carson: 1t+6s=296

Step-by-step explanation:

I hope that helps =)

Answer:

free d ddddddd

yes fast

????

Answer:

2/11

Step-by-step explanation:

reciprocal is just the fraction flipped.

Answer:

C=65t+55

Step-by-step explanation:

I just took the quiz

The equation for cost, C, after t months of service is C= 55t + 65.

Your internet service provider (ISP) charges a $55 installation fee and a fixed charge per month for its service. The total cost for monthly service after 6 months is $455.

Here c means the cost, t means the number of months

So,

C = 55t + 65

Learn more about the equation here: https://brainly.com/question/3914382

Answer:

542.5

Step-by-step explanation:

Calculate the volume of a rectangular object by multiplying the length, width and height together. For example, if the length is 80 cm, the width is 7.75 cm, and the height is 7.5 cm, the volume is 80 x 2 x 7.5, or 7.75 cm^542.5

Answer:

3 x 7 x 7 x 7 x 7

= 3 x [tex]7^{4}[/tex]

Answer:

1:2

Step-by-step explanation:

The ratio is 2:4, or 1:2

Hope I helped!

Answer:No answer

Step-by-step explanation: There is nothing shown below sooooooooooooooo... u set urself upfor FAILURE

Answer:

there is no square

Step-by-step explanation:

Answer:

The solution is (>)

Step-by-step explanation:

It can be said this is bigger because the number 7 is bigger than 6. The language is simple like this, for example we ignore the 2, the number 75 and 60 is clearly bigger than 75. It's the same as 2.75 with 2.6. So the number is 2.75 bigger than 2.6

Answer:

Step-by-step explanation:

The diameter of the circle is the length of a line going through the middle from one side to the other.

The radius is the length of a line going from the middle of a cricle to the side.

So, the radius is half of the diameter.

62.8÷2=31.4

The radius is 31.4 cm.

Answer:

x = 3.57

Step-by-step explanation:

5.94 - 2.37 = 3.57

Hope this helped

Answer:

3.57

Step-by-step explanation:

Subtract 2.37 from both sides.

5.94 - 2.37 = 3.57

Answer:

9.7 cm

Step-by-step explanation:

[tex] \frac{ \sin(82) }{c} = \frac{ \sin( 55)}{8} \\ c = \frac{8 \times \sin(82) }{ \sin(55) } = \\ c = \frac{7.922}{0.819} = 9.67 = 9.7[/tex]

Answer:

B

Step-by-step explanation:

The speed each day is faster than 3.5. Otherwise known as the mileage covered each day.

Answer:

7^4 x 3

Step-by-step explanation:

3 (4a - 2) + 5 = 12a – 1

is true

it would be D y=2x +2

Answer:

The answer is below

Step-by-step explanation:

A circle is the locus of a points such that its distance from a fixed point is always constant.

Since the drone moves in a circular path, therefore the path of the drone forms a circle. The equation of a circle is given by:

(x - h)² + (y - k)² = r²;  where (h, k) is the center of the circle and r is the radius of the circle.

Danny is located at the origin. Since the drone flies in a circular path around an object that is 210 feet west and 220 feet south of his position. Hence the center of the circular path is (-210, -220).

Also, the drone's path takes it over a point that is 160 feet east and 160 feet south of him i.e. (160, -160). Therefore the radius of the circle is the distance between point (-210, -220) and point  (160, -160)

[tex]radius=\sqrt{(160-(-210))^2+(-160-(-220))^2}=\sqrt{140500}[/tex]

Using (x - h)² + (y - k)² = r²:

[x - (-210)]² + [y - (-220)]² = (√140500)²

(x + 210)² + (y + 220)² = 140500

x² + 420x + 44100 + y² + 440y + 48400 = 140500

x² + y² + 420x + 440y - 48000 = 0

Answer:

24

Step-by-step explanation:

3+2=5

5u-> 60

1u->12

2u-> 24