A radio station sends out radio waves in all directions from a tower at the center of the circle of broadcast range. If the circle has a diameter of ​98 mi, how large an area is​ reached? Use 3.14.

Step 1: Find the Slope

Slope Formula: (y2 - y1) / (x2 - x1)

Point 1 = (4, -3)

Point 2 = (2, 1)

Slope = (1 - - 3) / (2 - 4) = (4) / (-2) = -2

Step 2: Find the Y-Intercept

Plug in the slope and one of the points into slope-intercept form and solve for b.

Slope-Intercept Form: y = mx + b

1 = -2(2) + b

1 = -4 + b

b = 5

Step 3: Put it all together

Plug in the slope and y-intercept into slope-intercept form.

Slope-Intercept Form: y = mx + b

y = -2x + 5

Hope this helps!! :)

Answer:

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Answer:

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Step-by-step explanation:

Answer:

15, 16, 17

Step-by-step explanation:

let the consecutive numbers be n , n + 1 , n+ 2 , then

n + n + 2 = 32 ( sum of first and third )

2n + 2 = 32 ( subtract 2 from both sides )

2n = 30 ( divide both sides by 2 )

n = 15

n + 1 = 15 + 1 = 16

n + 2 = 15 + 2 = 17

The 3 numbers are 15, 16, 17

Step-by-step explanation:

let the 1st and 2nd consecutive number be

x , x + 1 , x + 2

their sum = 32

so, x + x + 2 = 32

→ 2x + 2 = 32

→ 2x = 32 - 2 = 30

→ x = 30/2 = 15

so,

1st and 3rd consecutive number is

x = 15

x + 2 = 15 + 2 = 17

as they are consecutive number so 2nd number is 16

and a/q sum of 1st and 3rd number is 32

15 + 17 = 32

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

The graph of y = a·f(x) will compress (or shrink) vertically when |a| < 1.

Step-by-step explanation:

A compression is a transformation that decreases the distance between corresponding points of a graph and a line.

A vertical compression (or shrink) by a factor of a , such that y = a·f(x), where 0 < a < 1. This means that when a is between 0 and 1, the parent graph tends to widen.

In the given problem where y = 0.1x², the a = 0.1, which made the graph wider. This represents the vertical shrink (toward the x-axis) by a factor of 0.1.

Answer:

Mass of the object (m)= 10kg

Acceleration of the object (a)= 2m/s^2

Force acting on the object (F)= ?

Solution

F = m × a

F = 10 × 2

F= 20N

The force acting on the object is 20N.

Step-by-step explanation:

8N of force is needed to push a 10kg ball to an acceleration of 0.8 m/s²

Force is an influence that can change the motion of an object.

Given,

Mass of the object (m)= 10kg

Acceleration of the object (a)= 0.8m/s²

We need to find Force acting on the object (F)= ?

Force=Mass ×Acceleration

F = m × a

Plug in the values of mass and acceleration

F =10 × 0.8

F= 8N

Hence, The force acting on the object is 8N.

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Answer:

the lines are perpendicular they cross each other in a 90* angel

Step-by-step explanation:

The correct reason for each step in the solution of the equation would be as follows:

12 − 5x + 6x = 4 - Given

12 + x = 4 - Combine Like Terms

x= −8 - Subtraction Property of Equality

Hope this answers the question. Have a nice day.

Comment has been deleted

Answer:

- 125

Step-by-step explanation:

[tex](-5)^{3}[/tex]

= - 5 × - 5 × - 5

= 25 × - 5

= - 125

Answer:

-125

Step-by-step explanation:

-5^3= -5x-5x-5

-5^2=-5x-5= 25

25x-5=-125

Answer:

f = t/m

Step-by-step explanation:

Answer:

edge lines

Step-by-step explanation:

Answer:

Step-by-step explanation:

you can go to (math) it usually helps me a lot with stuff and maths x hope u find ur answer(way).

check the things in brackets that how the site its called.

Answer:

5 : 6

Step-by-step explanation:

The ratio of apples to oranges is 5 : 2 = 5x : 2x ( x is a multiplier )

There are 18 more apples than oranges , that is

5x = 2x + 18 ( subtract 2x from both sides )

3x = 18 ( divide both sides by 3 )

x = 6

There are 5 × 6 = 30 apples and 2 × 6 = 12 oranges

The number of oranges is increased by 24, to 12 + 24 = 36 , then

30 apples : 36 oranges ( divide both parts by 6 )

= 5 : 6

Answer: y is a false statement

Step-by-step explanation: put all the y terms on one side and all the constants on the other. i'm going to move all the y terms to the right and the constants to the left. on the left we have a -5 leftover and on the right it would be 7y-y-6y. if you add those terms together, you're left with -5=0 which is not possible. y is a false statement

Answer:

3.1567 * 10^-4 miles

Step-by-step explanation:

1 ft = 1.894 * 10^-4 miles , so

1 inch = 1.894 * 10^-4 / 12  miles

= 0.15783 * 10^-4

= 1.5783* 10^-5 miles  ( in scientific form).

Multiplying this by 20 we get

31.567 * 10^-5

= 3.1567 * 10^-4 miles.

Answer:

Step-by-step explanation:

Base on the question where as asking to state the translation vectors could have been used for the pair of figures, base on my research, I would say  that the answer would be arrow pointing to the right.

Answer:

A

Step-by-step explanation:

y=4x+7

Answer:

- 1/3

Step-by-step explanation:

Answer:

bbc

Step-by-step explanation:

Answer:

24

Step-by-step explanation

The length of line JL which has endpoints J(8,10) and L(20,5) is; JL = 13.

According to the question, we are required to determine the length of line JL.

However, the coordinates of the end points of line JL are given as;

The length of line JL is given by Pythagoras theorem as;

JL = 13.

Therefore, the length of line JL which has endpoints J(8,10) and L(20,5) is; JL = 13.

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Answer:

Step-by-step explanation:

For number 8, to start,:

[tex]\frac{x}{4}[/tex] - 1 = 1

the first step is to add 1 to both sides of the equation; then, simplify.

[tex]\frac{x}{4}[/tex] - 1 = 1

   +1    +1

----------------

next, the -1 and +1 will cancel.

[tex]\frac{x}{4}[/tex] = 2

the last step is to multiply both sides of the equation by 4.

4 · [tex]\frac{x}{4}[/tex] = 2 · 4

simplify; the 4s cancel out on the left side.

x = 8

**************************************************

For number 9, :

9 = 6 + [tex]\frac{x}{7}[/tex]

like in number 8, the first step is to subtract 6 from both sides of the equation; also, a helpful tip you can use is move the 9 to the right side; speaking personally, it often helps make things visually easier to work out. you would then rewrite the equation like: 6 + [tex]\frac{x}{7}[/tex] = 9

6 + [tex]\frac{x}{7}[/tex] = 9

now, we'd subtract 6 from both sides.

6 + [tex]\frac{x}{7}[/tex] = 9

-6         -6

-----------------

next, the 6 and -6 will cancel.

[tex]\frac{x}{7}[/tex] = 3

the last step is to multiply both sides of the equation by 7.

7 · [tex]\frac{x}{7}[/tex] = 3 · 7

simplify; the 7s cancel out on the left side.

x = 21

Answer:

1

Step-by-step explanation:

first, solve in the parentheses then solve from there:

1 + 4 = 5

50 - 5^2 / 25

50 - (5 x 5 ) /25

50 - 25 / 25

25 / 25

1

[tex]\\ \tt\longmapsto \dfrac{50-(1+4)^2}{25}[/tex]

[tex]\\ \tt\longmapsto \dfrac{50-5^2}{25}[/tex]

[tex]\\ \tt\longmapsto \dfrac{50-25}{25}[/tex]

[tex]\\ \tt\longmapsto \dfrac{25}{25}=1[/tex]

Answer:

1,511$

Step-by-step explanation:

Answer:   (P.s its very hard to write special characters here, i hope this helped though)

((−6d0)(g−3))(h2)

d−5m3g−2h5

=

−6d5g2h2

g3h5m3

=

−6d5

gh3m3

Answer:

-7/6

Step-by-step explanation:

I have plotted 8,10 and 2,17 on a grid and connected them with a line to help visualize the slope of the line we are trying to find.

The answer can also be written as a decimal as shown below, but it is neater to use the fraction.

Correct answer: [tex]b = \frac{2A}{h}[/tex], first option.

[tex]A=\frac{bh}{2}[/tex]

[tex]2*A=\frac{bh}{2}*2[/tex]  | multiply both sides by 2, 2's cancel out on the right.

[tex]2A=bh[/tex]

[tex]\frac{2A}{h} =\frac{bh}{h}[/tex]  | divide h on both sides, h's cancel out on the right

[tex]b = \frac{2A}{h}[/tex]