16. Sandra is choosing an Internet service provider.
• Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used.
• Communication Plus costs $2.50 for every hour of Internet used.
a. Create an equation to represent the cost of using the internet with each company. (2 marks) Let C represent the cost of using internet in any month.
Let t represent the number of hours used.

Answer:

y ≤ (-2)x+2

y < (1/3)x + 2

Step-by-step explanation:

First, we'll want to figure out the lines that are intersecting.

To find the equation of a line given two points (of form y=mx+b), we can first find the slope (m). This is equal to (y₂-y₁)/(x₂-x₁) for points (x₁,y₁) and (x₂,y₂). Then, we can plug a point in and solve for b.

For the line that has points at (1,0) and (2, -2), our slope is

(y₂-y₁)/(x₂-x₁) = (-2-0)/(2-1)

= (-2)/1

= -2

Our equation is therefore y= (-3/2)x+b. Plugging a point like (2,-2) in, we get

-2 = (-2)(2) + b

-2 = -4 + b

add 4 to both sides to isolate b

b =2

Our equation is thus y = (-2)x+2

For the other line, with points at (-3,1) and (0,2), our slope is (2-1)/(0-(-3)) = 1/3

Then, our equation is y=(1/3)x+b

plug (-3,1) in

1 = (1/3)(-3) + b

1 = -1 + b

add 1 to both sides to isolate the b

b =2

Our equation is thus y=(1/3)x + 2

Our equations are y=(1/3)x + 2 and y = (-2)x+2. In the graph shown, the shaded area is under both the lines (it is also to the left of them, not to the right or on top). Therefore, we can say that the shaded area is less than the line.

For y = (-2)x+2, the line is not dotted, so the line is included in the region. This means that our inequality is y ≤ (-2)x+2 (note the ≤ rather than simply the < sign)

For y=(1/3)x + 2, the line is dotted, so it is not included in the region. This means that our inequality is y < (1/3)x + 2

Answer:

C

Step-by-step explanation:

The angles are congruent by CPCTC as they correspond with one another.

Answer:

The final answer, D

Step-by-step explanation:

Source: Done this question before

note: you may need to leave off the pi term if your teacher just wants to know what goes in the green box

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

Work Shown:

C = 2*pi*r

C = 2*r*pi

C = 2*5*pi

C = 10pi

Answer:

false

Step-by-step explanation:

there is no graph...

Step-by-step explanation:

here's the answer to your question

Answer:

x = -4.7

Step-by-step explanation:

√4x+9 = 1-√2

2x + 9 = 1 - √2

2x = -8 - √2

2x / 2 =  -8 - √2 / 2

x = -4.7

Answer:

x^2+3x-5

Step-by-step explanation:

f(x) = 3x + 1

g(x) = x^2 - 6,

(f + g)(x)= 3x + 1 +x^2 - 6,

Combine like terms

        = x^2+3x-5

Answer:

[tex] {x}^{2} + 3x - 5[/tex]

Step-by-step explanation:

[tex]f(x) = 3x + 1 \\ g(x) = {x}^{2} - 6 \\ (f + g)(x) = (3x + 1) + ( {x}^{2} - 6) \\ = 3x + 1 + {x}^{2} - 6 \\ = {x}^{2} + 3x - 5[/tex]

Answer:

x>_-1

10x + 3 - 5x_< 14x + 12

-9_<9x

Answer:

Step-by-step explanation:

10x +3-5x < (nhỏ hơn hoặc bằng) 14x=12

10-14x-5x< bằng 12 -3

-9x< bằng 9

x > bằng -1

Answer:

The surface area of the rectangular prism is 430[tex]cm^{2}[/tex]

Step-by-step explanation:

To find the surface area of a rectangular prism you need to follow the formula

A=2(wl+hl+hw)

Hope this helps!

[tex]\sf( - 4) - ( + 2) \\ = \sf - 4 - 2 \\ \sf \: = - 4 + - 2 \\ = \underline{\bf - 2}[/tex]

[tex]( - 4) - ( + 2)[/tex]

[tex] = - 4 - 2[/tex]

[tex] = - 4 + ( - 2)[/tex]

[tex] \boxed{ = - 2}[/tex]

Answer:

f(x) > 0 over the interval  (–∞, –4)

Step-by-step explanation:

We know that:

Our curve has a minimum at (-2.5, -12)

Our curve has a maximum at (0, - 3)  (I assume that is a local maximum).

We know that the curve crosses the x-axes at (-4, 0)

We know that the curve crosses the y-axis at (0, -3)

Notice that when our curve crosses the x-axis at (-4, 0), it goes from above the axis to below the axis.

How we know this?

Remember that "crossing" the x-axis means that the sign of f(x) changes.

At the value x = -2.5  (which is larger than x = -4) the function is negative.

f(-2.5) = -12

and:

f(-4) = 0

So we can see that after f(x) crosses the x-axis at x = -4, the function is negative.

This means that before that point, the function must be positive.

So for values of x smaller than -4, the function should be larger than zero.

f(x) > 0 if x < -4

From this, we can conclude that in the range (-∞, –4), the function is above the x-axis.

Then we would write this as:

f(x) > 0 over the interval  (–∞, –4)

The correct option is the last option.

Answer:

Its D

Step-by-step explanation:

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

According to Newton's Second Law, we know that

F = m*a

where F is the force applied, m is the mass and 'a' is the acceleration.

We see that this is a direct variation equation for F and a, such that m is the constant of variation. It's similar to how y = kx is also a direct variation equation.

Plug in F = 35 and a = 5 to find m

F = ma

35 = m*5

35/5 = m

7 = m

m = 7

The object has a mass of 7 kg

Our equation F = ma updates to F = 7a

Now plug in the force F = 21 to find 'a'

F = 7a

21 = 7a

21/7 = a

3 = a

a = 3

The acceleration will be 3 m/s^2

Notice how a smaller force applied means that the acceleration has also gone down as well.

Answer:

C

Step-by-step explanation:

Polygon 3 and 5 are congruent cause they have the same length of side

Answer:

Step-by-step explanation:

(1). Indirect measurement is a method of using proportions to find an unknown length or distance in similar figures.

"The "h" feet tall building with its shadow of 90 feet and 6 feet tall person with its shadow of 15 feet form similar right triangles. Find the height of the building."

Answer:

Step-by-step explanation:

a1=219

d=a2-a1=226-219=7

2018=219+7n-7

1806=7n

n=258

S258=[(219+2018)/2*258

S258=288573.

Answer:

2200, 0.053 and t=7

Step-by-step explanation:

Intrest will be 3158. 1

Answer:

5, 12, 13

Step-by-step explanation:

let x be the longer leg then x + 1 is the hypotenuse and x - 7 the shorter leg

Using Pythagoras' identity in the right triangle

x² + (x - 7)² = (x + 1)² ← expand using FOIL

x² + x² - 14x + 49 = x² + 2x + 1

2x² - 14x + 49 = x² + 2x + 1 ( subtract x² + 2x + 1 from both sides )

x² - 16x + 48 = 0 ← in standard form

(x - 4)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 12 = 0 ⇒ x = 12

x = 4 , then x - 7 = 4 - 7 = - 3 ← not possible

x = 12, then x - 7 = 12 - 7 = 5 and x + 1 = 12 + 1 = 13

The lengths of the 3 sides are

longer leg = 12 m , shorter leg = 5 m and hypotenuse = 13 m

Answer:

345.6 mi^2

Step-by-step explanation:

S.A = 2πrh+2πr^2

= 2π(5)(6) + 2π(5)^2

= 345.6 mi^2

Answered by G a u t h m a t h

Answer:

55 Gallons

Step-by-step explanation:

143 - (8)(11)

143 - 88

143 -  88

55 gallons

Step-by-step explanation:

People also ask

What is Heron's formula of area of triangle?

Then the semi-perimeter is, s = (a + b + c)/2 = (3 + 6 + 7)/2 = 8. We will find the area of the triangle using the Heron's formula. This formula was derived by a mathematician known as the Hero of Alexandria.

...

Area of Triangle With 3 Sides.

1. Area of Triangle with 3 Sides Formula

3. FAQs on Area of Triangle with 3 Sides

....

Answer:

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Step-by-step explanation:

Heron's formula allows us to find the area of any triangle when given the length of the three sides of the triangle. Let [tex]s[/tex] represent the semi-perimeter of the triangle and let the three sides be [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex].

The semi-perimeter is equal to half the perimeter and is calculated by:

[tex]s=\frac{a+b+c}{2}[/tex]

After you've found [tex]s[/tex], multiply it by the difference between it and each of the sides of the triangle. Then take the square root of that value to find the area of the triangle. Therefore, Heron's Formula is:

[tex]\boxed{A=\sqrt{s(s-a)(s-b)(s-c)}}[/tex]

Answer:

2

Step-by-step explanation:

18/14 = 1 remainder 4

18/7 = 2 remainder 4

Answer:

110

Step-by-step explanation:

we use the sum of 3 angles in a triangle is 180

and sum of 2 adjacent angles is 180 too

180= (180-d)+)+(180-85)+(180-165)

so d=110

Step-by-step explanation:

video do oo so do to go do go to

Answer:

5 corners : 108 degrees

6 corners : 120 degrees

Step-by-step explanation:

there are (at least) 2 different views to get the result :

officially (usually the teachers' preferred method) you consider a polygon as a combination of non-overlapping triangles. a polygon with n corners or edges we can split into n-2 such triangles.

each triangle has an angle sum of 180 degree.

so, the polygon angle sum is (n-2)×180 degrees.

and each (internal) angle is then (n-2)×180/n

n = 5 : (5-2)×180/5 = 3×36 = 108 degrees

n = 6 : (6-2)×180/6 = 4×30 = 120 degrees

the second approach (I prefer) goes after the external angles of the polygon.

the sum of all external angles in any polygon is 360 degrees (a full circle).

for n corners/edges each external angle is 360/n.

and the internal angle is then the complement to 180 degrees = 180 - 360/n

n = 5 : 180 - 360/5 = 180 - 72 = 108 degrees

n = 6 : 180 - 360/6 = 180 - 60 = 120 degrees

Answer:

i had the same question myself

Step-by-step explanation:

I need help also

Answer:

MZ = 10

ZO = 10

MO = 20

XZ = 9

YZ = 7

Step-by-step explanation:

Triangles are all the same, proportionally.

X is midpoint of 14, so 7

Y for 18, so 9

Triangle with 10 is 7, 9, 10

Full triangle is double at 14, 18, MO

Since angle N is same angle, MO is double 10, so 20

Z is midpoint, so both halves are 10

Because of midpoints, XZ and YZ with 10 form same triangle as half triangle at 9, 7, and 10 respectively.

82.053°??

(Tried going as fast as I can)

Answer:

1.

a rectangular prism is simply a block. it has length, width and height. and similar to the area of a rectangle (length×width) we get as volume length×width×height.

other than that we only need to consider that a volume always has cubic units (like cm³, m³, ft³, ...).

the volume of a cylinder is again ground area times height, when we imagine the cylinder to stand on it circular side.

and the states standard formula (hi, internet !) for the volume of a cylinder is pi×r²×height

so, we have 75×20×14 = 21,000 cm³

and pi×75²×120 = pi×5625×120 = 2,120,575 cm³

so, the cylinder has a much bigger volume.

3.a.

the standard formula for the volume of a pyramid (hi, internet !) is length×width×height/3

the diagram means that it is a square pyramid (the ground area is a square). therefore all sides of the ground area are of equal length. length = width

so, we have 64×64×40/3 = 54631.333... m³

3.b.

as the description says, 5000 people fit in, so, to find how much volume is there available per person, we need to divide the volume by 5000.

54631.333... / 5000 = 10.923 m³

Step-by-step explanation:

and again, you need only to search the formulas on the internet, and then calculate this with the given numbers yourself, and you will be much faster than paying things here and waiting for answers and copy/pasting things.

again, there is practically nothing to explain, just to use the standard formulas and the calculator. what's the problem ?

I will gladly explain to you concepts you have not understood (that is the point of Brainliest). but I and others here are not your personal slaves to do your work for you.

Answer:

y=113*(1+0.82)^x

x=7

y=113*(1.82)^7=7474.43