Solve each equation. Be sure to check for extraneous solution -7= |a-3|/-2

Answers

Answer 1

Answer:

a = -11, 17.

Step-by-step explanation:

-7 =  |a-3| / -2

Multiply both sides by -2:

|a - 3| = 14

So a - 3 = 14

Giving a = 17

or

a - 3 =- -14

giving a = -11.

Checking these values:

-7 = |17-3| / -2 = 14/-2 = -7  

- so a = 17 is a solution.

-7 = |-11-3| / -2 = 14/-2 = -7

so a = -11 is also a solution.


Related Questions

some please help!!!
i need it for now!!!!
PLEASE

Answers

Answer:

r =√[3V/(π h)]

Step-by-step explanation:

V = ⅓ × π r²h

=> multiplied by 3

3V = π r² h

=> find r²

r² = 3V/(π h)

=> find r

r =[3V/(π h)]

Answer:

[tex]r=\sqrt{\dfrac{3V}{\pi h}}[/tex]

Step-by-step explanation:

Given equation:

[tex]V=\dfrac{1}{3} \times \pi r^2 h[/tex]

To isolate [tex]r[/tex], multiply both sides by 3:

[tex]\implies V \times 3=\dfrac{1}{3} \times \pi r^2 h \times 3[/tex]

[tex]\implies 3V= \pi r^2 h[/tex]

Divide both sides by [tex]\pi h[/tex]:

[tex]\implies \dfrac{3V}{\pi h}= \dfrac{\pi r^2 h}{\pi h}[/tex]

[tex]\implies \dfrac{3V}{\pi h}=r^2[/tex]

Square root both sides:

[tex]\implies \sqrt{r^2}=\sqrt{\dfrac{3V}{\pi h}}[/tex]

As the radius is positive only:

[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0[/tex]

[tex]\implies r=\sqrt{\dfrac{3V}{\pi h}}[/tex]

the number of people left to play if ten of fifteen have played

Answers

Answer:

5

Step-by-step explanation:

15-10=5


By rounding to 1 significant figure, estimate
6.4 x 7.35

Answers

Answer:

6.4 x 7.4 =47.36

Step-by-step explanation:

7.35 rounded will be 7.4

The answer is 47.6 I think

‼️I wnt to know, how to slove this

Answers

t= 86degree 86+86+30+Qdegre= 360 degree add Q×2 that's all

Help please it would be nice

Answers

Answer:

Let the number be x

half the number can be written as

x/2

then 5 less than half of the number can be written as

(x/2) - 5

Good afternoon guys...
plz give the answer...
i will mark you brainliest...
class- 8
subject- maths ​
genius give the answer fast...

Answers

Step-by-step explanation:

Blue brackets denote answers

All the best

hope it helps

The reciprocal of 0 is 1/0

We know that it's impossible to divide by 0.

The numbers 2/2 and 1/1 .. are their own reciprocals.

The reciprocal of -5 is 1/5.

2. Rational numbers:

2/4, 3/5, 3/7, 4/2, 4/3

-3/3, -3/4, 1/2, 1/4, 1/7.

A rational number is a fraction. Something my Acellus Algebra I teacher told me:

Rational numbers are fractional.

32^2=32*32=1,024

46^2=46*46=2,116

Square root:

[tex]\sqrt{2304}[/tex]

48

[tex]\sqrt{529}[/tex]

23

Hope it helps!

Heh, no comment at all

Answers

Answer:

A. B and F

Step-by-step explanation:

.................

The answer could be B and  ∠F

A, B & C form a triangle where Z BAC = 90°.
AB = 7.3 mm and CA = 4.6 mm.
Find the length of BC, giving your answer rounded to 1 DP.

Answers

Answer:

BC ≈ 8.6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle , that is

BC² = AB² + AC² = 7.3² + 4.6² = 53.29 + 21.16 = 74.45 ( square root both sides )

BC = [tex]\sqrt{74.45}[/tex] ≈ 8.6 ( to 1 dec. place )

Write a inequality for the graph shown below. Use x for your variable

Answers

Answer:

[tex]x > 4[/tex]

Step-by-step explanation:

X is greater than 4

Which of the following is the correct graph of the linear equation below?
y+2 =3(x+1)

Answers

Answer:

D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

gm everyone plz help with this question down below :) Who was Sherlock Holmes?
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(cough cough) free, ,points

Answers

Sherlock Holmes is an fictional detective

can somebody help me with this? thanks and brainliest giving!

Answers

Answer:

It D hope this is right

Step-by-step explanation:

I'm learning this in class right now and I'm pretty good at it so hope you get it right

Answer:

D. a reflection over the y-axis

Step-by-step explanation:

We can see that ΔQRS has been directly translated across the y-axis to form ΔQ'R'S'. (It mirrors across)


What is the probability that the teacher chooses a girl to answer the question?

Answers

What? Is this even a real question you need help with ?

30. -3a^2= -3-6^2 is this correct? And I have to evaluate o I am not good at that so if u can help THANK YOU so much!

a=-6

Answers

Answer:

-3a^2= -3*(-6)^2

Step-by-step explanation:

-3a^2 = -3*a^2 = -3*(-6)^2

100 points , I need to know the answers to this

Answers

Answer: number 3 is 10 and number 4 is 3.16

Step-by-step explanation:

its just finding the square roots and doing the operation that follows

Find the measure of the missing angle of each

Answers

Answer:

? = 120, ? = 145, respectively

Step-by-step explanation:

? + 60 = 180

? (+ 60 - 60) = 180 - 60

? = 120

35 + ? = 180

(35 - 35) + ? = 180 - 35

? = 145

WILL GIVE BRAINLIEST

Answers

Answer:

Page 3 - the y-intercept would remain at 5 and the slope would be 3 times the upward slope.

Page 5 - the y-intercept would remain at -2 and the slope would be 1/4 instead of 5

Step-by-step explanation:

In point slope form the slope and y-intercept can be read directly from the equation.

y = mx + b where m is the slope and b is the y-intercept.

8 less than the product of a number and 4 is 20

Answers

the answer to your question is 13

Answer:

This word phrase into a equation is

4x -8 = 20

3(x-8)-2(10-x)>5(x-1)

Answers

Answer:

x - 44 > 5x - 5 is the simplified version. hope this helps

Step-by-step explanation:

- Zombie


-16 + the quotient of a
number and -4 is -3

Answers

Answer:

76

Step-by-step explanation:

let the number be x

Then 16 + x/-4 = -3, so

x/-4 = -16-3 = -19 (add -16 on both sides)

x = -4*-19 = 76 (multiply by -4 on both sides)

PLEASE HELP I NEED THIS

Answers

Answer:

Answer is 18 degrees.

Step-by-step explanation:

The area A of a triangle with base b and height h is given by A = żbh. Find the area when b= 15 m (meters) and h = 22 m.

Answers

Answer:

165

Step-by-step explanation:

use formula

22*15/2=165

A restaurant chef wants to install a new floor In her kitchen the kitchen measures 8 yards wide and 12 yards long, and the flooring costs $3.00 per square yard. How much will the chefs new floor cost?

Answers

$228 is your correct answer

What numbers are a distance of 2/3 unit from 1/2 on a number line? Select the locations on the number line to plot the points.What numbers are a distance of 2/3 unit from 1/2 on a number line? Select the locations on the number line to plot the points.

Answers

Answer:

Step-by-step explanation:

1/2 + 2/3 = 7/6

1/2 - 2/3 = - 1/6

There are 36 students playing tag at recess. This is 6 times more the hopscotch.
Which model shows the comparation?

Answers

Where’s the model? If it says choose a model, there should be a model

the Devision model comparation

Find the H.C.F of x² - 3x ,x² - 9​

Answers

x^2-3x = x(x-3)
x^2-9 = x^2 - 3^2 = (x-3)(x+3)
HCF = x-3
x²-3x=x(x-3)
x²-9=x²-3²=(x-3)(x+3)
∴the highest common factor of x²-3x and x²-9 is x-3

Hope my answer helped u :)

400 is one tenths of

Answers

Answer:

4000

Step-by-step explanation:

The quotient of 9 more than the radius, r, and 6

Answers

Answer:

(9 + r)/6

Step-by-step explanation:

anyone know the answer??

Answers

Answer:

X (2, 1)

Y (2, 3)

W (5, 5)

Step-by-step explanation:

The current points are:

X (-2, -1)

Y (-2, -3)

W (-5, -5)

Now, after rotating 180 degrees around the origin, here is what points Y, Y, and W would look like:

X (2, 1)

Y (2, 3)

W (5, 5)

Plot these new points on the graph, and you'll have a new figure which will be rotated to 180 degrees.

I have also provided you with a graph, showing both, the original and the rotated version, below.

Evaluate the function f(x) = 5x2 - 7x + 3 a. f(-4) = ___________________ b. f(4) =_____________________ c. f(0)= ______________________ d. f(12)= _____________________ e. f(-12)= ___________________ f. f(-5) =____________________ g. f(-3) = ____________________ h. f(6) = _____________________ i. f(-6) = ___________________ j. f(-3) = __________________

Answers

Answer:

say what

Step-by-step explanation:you + your = answer ( ask your teacher )

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