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3 years ago

A. Write the equation ax + b = c in terms of x.

Mathematics

2 answers:

Oksanka [162]3 years ago

5 0

Answer:

x=c/a-b/a

Step-by-step explanation:

ax+b=c

1) Subtract b from both sides:

ax=c-b

2) Divide both sides by a:

x=c/a-b/a

Likurg_2 [28]3 years ago

4 0

Ax + b = c
ax = c - b (subtraction property of equality)
x = (c-b)/a (división property of equality)

P.S. I would really appreciate it if you gave me brainliest :)

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A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

6 0

3 years ago

An overhead projector enlarges the image on its glass by a scale factor of 4. A rectangle that is 3 inches wide and 7 inches lon

qwelly [4]

Just multiply the with and the length by four (considering the scale factor is 4)
3x4=12 and 7x4=28

6 0

3 years ago

This problem I can’t seem to figure out

allochka39001 [22]

Answer:

39 touchdowns and 13 fieldgoals

Step-by-step explanation:

Let t= touchdowns

f = fieldgoals

They scored 35 times

t+f = 35

Touchdown is 7 pts and fieldgoal is 3 pt

7t+3f = 193

Multiply the first equation by-7

-7t -7f =-245

Add this to the second equation

-7t -7f =-245

7t+3f = 193

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

-4f =-52

Divide by -4

-4f/-4 = -52/-4

f = 13

Now we can find t

t+f = 35

t+13 = 52

Subtract 13 from each side

t+13-13 =52-13

t =39

6 0

3 years ago

True or False?<br> If false provide an example <br><br> For all integers<br> n, n3 is positive.

Maksim231197 [3]

Answer:

False

Step-by-step explanation:

Explanation is given below.

7 0

3 years ago

Is x = 3 a solution to the equation x + 7 = 11?

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

3+7 is 10, not 11. Therefore, x cannot be 3.

3 0

2 years ago

Read 2 more answers