lines a and b are parallel m<2 = ?°​

Answer:

D. y = 1/4x + 6​

Step-by-step explanation:

In the linear equation y = mx + b, m is the slope.

A graph will be steeper if it has a larger slope, and less steep if it has a smaller slope.

So, to find which equation has the least steep graph, find which one has the smallest slope.

Out of the 4 equations, the smallest slope is 1/4. Although -7 is the smallest number, it still has a steep slope. The negative sign just makes it go in the other direction.

So, the equation with the least steep graph is D. y = 1/4x + 6​

Answer:D

Y= 1/4x +6

Step-by-step explanation:

Answer:

5/3π or 5.2

Step-by-step explanation:

30 / 360 = x / 20π

then x = 5/3π or 5.2

Answer:

5/3 [tex]\pi[/tex]

Step-by-step explanation:

30/360 * 2 [tex]\pi 10[/tex]

1/12 * 2 [tex]\pi 10[/tex]

20/12 [tex]\pi[/tex]

5/3 [tex]\pi[/tex]

Answer:

sin θ = 22.62°

cos θ = 22.62°

tan θ = 22.62°

Step-by-step explanation:

From the diagram above

Opposite = 5

Adjacent = 12

Hypotenuse = 13

a) sin θ = Opp/Hypotenuse

sin θ = 5/13

sin θ = 0.3846153846

arc sin 0.3846153846

= 22.619864948°

Approximately = 22.62°

b) cos θ = Adjacent/ Hypotenuse

θ = 12/13

= arccos(0.9230769230769231)

22.619864948°

Approximately = 22.62°

c) tan θ = Opposite/Adjacent

θ = 5/12

= arctan(0.4166666666666667)

= 22.619864948°

= 22.62°

Answer:

Standing in front of your seat

Answer:

2ab

Step-by-step explanation:

6ba + 2ab = 2ab(3+1)

= 2ab (4)

so, the common factor = 2ab

Answer:

2ab

Step-by-step explanation:

Answer:

Step-by-step explanation:

The translation vector < 4, - 2 > means each point is being moved 4 units to the right and 2 units down.

X(0, 3) ------> X' ( 0 + 4, 3 - 2 ) = X'(4, 1)

Y( - 1, 1) ------> Y' ( - 1 + 4, 1 - 2 ) = Y'(3, - 1)

Z( - 3, 4) -----> Z' ( - 3 + 4, 4 - 2 ) = Z'(1, 2)

Answer:

Step-by-step explanation:

Graph given for the function has three segments therefore, its a piecewise function.

For a segment lying between (2, ∞)

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

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

                            = 2

y-intercept of the line = -2

Therefore, equation of the line will be,

y = 2x - 2

Second segment is a straight line,

Equation of the line will be,

y = 4

Third segment is a straight line.

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                            = [tex]\frac{1}{1}[/tex]

                            = 1

Equation of the line will be,

y = x + b

Since, this line passes through a point (6, 7)

7 = 6 + b

b = 1

Therefore, equation of the third segment will be,

y = x + 1

So the piecewise function will be,

f(x) = 2x - 2   For x < 2

        4     For 2≤ x ≤ 5

        x + 1   For x > 5

Answer:

2 6 10

Step-by-step explanation:

have :

a + b +c  = 18

a*b*c = 120

a+c = 2*b => 3*b = 18 => b = 6

then a = 2, c = 10

Step-by-step explanation:

Hey there!

Given;

Distance (d) = 450 km = 450*1000 = 450000 m

Time(t) = 5 hours = 5*60*60 = 18000s

Now;

Speed (s) = Distance (d) /Time(t)

Or, s = 450000/18000

Or, s = 25m/s.

Therefore, the speed is 25m/s.

Hope it helps!

Answer:

The car has a velocity of 25 m/s.

Step-by-step explanation:

There are two ways to solve this problem.

First way :

450km = 450.000m

5h = 5x 3.600s =18.000s

v = s/t = 450.000 / 18.000 = 25m/s

Second way :

Velocity = speed/time = 450 / 5 = 90 km/h

90/3.6 = 25 m/s

Either way, the car has a velocity of 25 m/s.

Answer:

239

Step-by-step explanation:

SP is the diameter so Arc RP is supplementary to Arc SR

[tex]31 + x = 180[/tex]

[tex]x = 149[/tex]

Arc PQ is supplementary to Arc SQ so

[tex]90 + x = 180[/tex]

[tex]x = 90[/tex]

Arc Addition:

[tex]149 + 90 = 239[/tex]

Answer:

3.75

Step-by-step explanation:

Answer:

there would be a 2 out of 6 chance i think

Step-by-step explanation:

Answer:

(x - 5)² + (y - 5)² = 18

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (5, 5) , then

(x - 5)² + (y - 5)² = r²

r is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (5, 5) and (x₂, y₂ ) = (8, 8)

r = [tex]\sqrt{(8-5)^2+(8-5)^2}[/tex]

  = [tex]\sqrt{3^2+3^2}[/tex]

   = [tex]\sqrt{9+9}[/tex]

   = [tex]\sqrt{18}[/tex] ⇒ r² = ([tex]\sqrt{18}[/tex] )² = 18

Then

(x - 5)² + (y - 5)² = 18 ← equation of circle

Answer:

is this supposed to say 7.7 x [tex]10^{2}[/tex] ? if so then it's 770 (you move the decimal over 2 places to the right)

Step-by-step explanation:

7.7 × 10^2

is 770

hope it helps

Answer:

9 pounds

that's the answer

Answer:

-16

Step-by-step explanation:

Given that the first term is -10 .

=> a1 = -10 .

General formula:-

=> a_n = a_n -1 + 3 .

Therefore , the common difference :-

=> 2nd term - 1 term

=> a_n-1 - a_n = -3

nth term of the AP is ,

=> T_n = a + (n-1)d

=> T_3 = -10 + (3-1) × -3

=> T_3 = -10 + -6

=> T_3 = -16 .

Answer:

9 even numbers are between 11 and 30.

Step-by-step explanation:

12, 14, 16, 18, 20, 22, 24, 26, 28

Answer:

12 in the first blank

20 in the second one

Step-by-step explanation:

12 because it is 8+4

20 because it is 60/3

Answer:

43

Step-by-step explanation:

43 is a prime number

Answer: 56 m

Step-by-step explanation:

Given

The dimension of the garden is [tex]16\ m\times 12\ m[/tex]

So, the wire needed to fence around it is equal to the perimeter of the garden

[tex]\Rightarrow P=2(16+12)\\\Rightarrow P=2\times 28\\\Rightarrow P=56\ m[/tex]

Answer:

156000 [tex](1.12)^{t}[/tex]

156000 [tex](1+.12)^{t}[/tex]

those are both the same

Step-by-step explanation:

All the correct expressions that could be used to calculate the value of the house, in dollars, after t years is,

⇒ [tex]156,000 (1.12)^t[/tex]

Or, ⇒ [tex]156,000 (1 + 0.12)^t[/tex]

Mathematical expression is defined as the collection of the numbers and variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.

We have to given that;

An investor paid $156,000 for a condominium in Texas in 2008.

And, The value of the homes in the neighborhood have been appreciating by about 12% annually.

Now,

We can formulate;

The value of the house, in dollars, after t years is,

⇒ Amount of house = P (1 + r%)ⁿ

⇒ Amount of house =  [tex]156,000 (1 + 0.12)^t[/tex]

⇒ Amount of house =  [tex]156,000 (1.12)^t[/tex]

Therefore, We get;

All the correct expressions that could be used to calculate the value of the house, in dollars, after t years is,

⇒ [tex]156,000 (1.12)^t[/tex]

⇒ [tex]156,000 (1 + 0.12)^t[/tex]

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

Because this fraction is where its value is at

Step-by-step explanation:

0.44 54. 5/6 0.86

Step-by-step explanation:

.44

.54

5/6 = 0.8333 which is smaller than

0.86

Answer:

The answer is 100.5 [tex]in^{3}[/tex].

Step-by-step explanation:

To solve for the volume of the cylinder, use the cylinder volume formula, which is V = [tex]\pi r^{2} h[/tex].

Next, plug in the information given from the problem, and the formula will look like V = [tex](\pi) (2 in^{2}) (8 in)[/tex].

Then, solve the equation, and the answer will be 100.5 [tex]in^{3}[/tex].  

Answer:

96 Square inches

Step-by-step explanation:

because the formula of the surface of the cube is l x l x 6 so 4 x 4 x 6

excuse me for my bad English but I am italian

Answer:

Step-by-step explanation:

Remember that the mean is average

Ex. Set A

Add then divide by the 8

Answer:

[tex]838.67mm {}^{2} [/tex]

Step-by-step explanation:

Note