If (a+b)(a-b)=21,a+b=7 and a-b=3 what Is the value of a

Answers

Answer 1

9514 1404 393

Answer:

  5

Step-by-step explanation:

Add the latter two equations and you get ...

  (a +b) +(a -b) = (7) +(3)

  2a = 10 . . . . . . . . . . . . . . . simplify

  a = 5 . . . . . . . divide by 2


Related Questions

Which expression conatins like terms?
a
4c + 6y - 15

b
7d - 5 + 3g

c
66 - 32v + 21 - 14t

d
5y + 6y - 45
PLEASE HELP

Answers

D...................

Help!!! It’s due tomorrow

Answers

Answer:

A and B

Step-by-step explanation:

Because they have a combined total of 30 years old so that eliminates C and D.

And for the ones that ask how old they are you could put their both 15.

yoooo!!! please help!!

Answers

im bout to leave so i cant answer rn BUT.. u should try by taking 150 by how many days can take 25 and see wat u get

What is the value of x in the triangle shown

A. 116
B. 57
C. 19
D. 123

Answers

Answer:

C. 19

Step-by-step explanation:

90+26=116

180-116=64

3x+7=64

3x=57

x=19

SOMEONE PLS HELP I DONT WANT TO FAIL THIS TEST

AB is parallel to DE in the map below.
A
15 feet
6 feet
D
C с
x feet
B В
9 feet
m

Which proportion solves for the distance between D and E?

Answers

A proportion which solves for the distance between D and E is: 9/6 = 15/x.

The properties of similar triangles.

In Geometry, two (2) triangles are said to be similar when the ratio of their corresponding sides are equal and their corresponding angles are in congruence.

By applying the properties of similar triangles, we have this expression:

AB/DE = BC/CD

Substituting the given parameters into the expression, we have;

9/6 = 15/x.

Read more on similar triangles here: https://brainly.com/question/7411945

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I suck at math please help!

Answers

Answer:

62

Step-by-step explanation:

the triangles angles always add up to 180 degrees

66+52=118

180-118=62

hope this helps :) have a nice day !!

The lines represented by the equations y=\frac{4}{5}x+8y= 5 4 ​ x+8 and 20y+25x=18020y+25x=180 are

Answers

Given:

The equations of lines are

[tex]y=\dfrac{4}{5}x+8[/tex]

[tex]20y+25x=180[/tex]

To find:

The relation between two of lines.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

We have,

[tex]y=\dfrac{4}{5}x+8[/tex]        ...(i)

[tex]20y+25x=180[/tex]          ...(ii)

Equation (i) can be written as

[tex]20y=-25x+180[/tex]

[tex]y=\dfrac{-25x+180}{20}[/tex]

[tex]y=\dfrac{-25x}{20}+\dfrac{180}{20}[/tex]

[tex]y=\dfrac{-5x}{4}+9[/tex]             ...(iii)

On comparing (i) with slope intercept form, we get

[tex]m_1=\dfrac{4}{5}[/tex]

On comparing (iii) with slope intercept form, we get

[tex]m_2=-\dfrac{5}{4}[/tex]

Now,

[tex]m_1\times m_2=\dfrac{4}{5}\times (-\dfrac{5}{4})[/tex]

[tex]m_1\times m_2=-1[/tex]

The product of slopes of both lines is -1. We know that the product of slopes of two perpendicular lines is -1.

Therefore, the given lines are perpendicular.

Rewrite using distributive property and GCF. 45 + 125
pls help

Answers

Answer:

5(9+25)

Step-by-step explanation:

The GCF is 5 so you just divide each by 5

Someone please help!

Answers

Answer:

its B

Step-by-step explanation:

They are all direct variations

Find the slope and y-intercept.
slope
y-intercept
y = 3x – 4

Answers

Answer:

Slope= 3x

y intercept= -4

Step-by-step explanation:

Mr. Doyle washed
2
5
of his laundry. His son washed
1
3
of it. Who washed most of the laundry?
How much of the laundry still needs to be washed?

Answers

Answer:

Mr Doyle washed the most.

4/15 still need to be washed.

Step-by-step explanation:

2/5=6/15  Mr Doyle

1/3=5/15   Son

so Mr Doyle washed the most.

Together they washed 11/15 of the laundry so 4/15 is left to wash.

Value of x? I need this very quickly.ASAP.

Answers

Answer:

x = 5

Step-by-step explanation:

The sum of the angles of a triangle is 180°.

(180 - 18x + 5) + (-1 + 8x) + 46 = 180

⇒ 180 - 18x + 5 - 1 + 8x + 46 = 180

⇒ -10x + 230 = 180

⇒ -10x = -50

x = 5

Which of the following is an equivalent fraction for 2/3? *

1. 6/9
2. 2/8
3. 12/20
4. 10/30

Answers

1. 6/9
Reason is 2x3=6 and 3x3=9, giving u 6/9

Answer:

6/9 because if you multiply 2/3times 3 its 6/9 which when simplified is 2/3

HELP ME! im not sure !

Answers

Answer:

193.2

Step-by-step explanation:

The way you would find the volume to a rectangular prism, is multiplying your length x width x height.

THE ANSWER IS D I THKNK

help meeeeeeeeeeeeeeeeedee

Answers

The answer is the last one

what is needed in order to write the equation of a line in slope intercept form

Answers

Answer:

Step-by-step explanation:

you only need the rate of change and the y intercept.

hello can someone help me with this?

Answers

Answer:

11/21/52100-1-1/2-1/5-2-10

At the zoo the ratio of monkeys to gorillas is 5:1 if there were 20 monkeys how many gorillas would there be?

Answers

Answer:

4

Step-by-step explanation:

To get to 20 you have to multiply 5 by 4 so do the same with the 1 and multiply by 4 to make it proportional. 1 x 4= 4. There would be 4 gorillas

Allison has an account balance of -$50.15. Does Allison owe the bank more or less than $50?

Answers

Answer: Allison owes the bank more then $50

Answer:

Allison will need more than $50.

Step-by-step explanation:

If you add 50 to -50.15, there is still -.15 cence left. So Allison will need more than $50 to have a positive balance.

Simplify:
3(n-2)

whats the answer?

Answers

Answer: 3n-6

Step-by-step explanation: You have to use the distributive property. 3 times n is 3n and 3 times -2 is -6.

The budget for a school dance is $390.00. Decorations and refreshments cost $150.00. The band charges a fee of $100.00 plus an additional $35.00 per hours. What is the maximum number of hours the school can have the band play at the dance?

Answers

Answer:

The maximum number of hours the school can have the band play at the dance is 4.

Step-by-step explanation:

150 + 100 + 35x ≤ 390

250 + 35x ≤ 390

subtract 250 from both sides

35x ≤ 140

divide by 35 on both sides

x ≤ 4

3. Enter the x coordinate of the solution to this system of equations. Enter only
the number,
- 3x + y = 4
- 2x + y = 6

Answers

Answer:

I NEED BRAINLIST URGENTLY

Your answer is x=2

Hope that this is helpful. Tap the crown button, Mark my answer as............. BRAINLIST......... Like & Follow me to get more answer.

Translate the figure 7 units left and 3 units down.
Plot all of the points of the translated figure.
You may click a plotted point to delete it.

Answers

Answer: The coordinates should be... (2,0) (-6,3) (-6,-2)

Step-by-step explanation:

The translation is (-6, -2), (-6, 3) and (0, 2).

What is translation?

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

we have to translate 7 units left and 3 units down.

So, 7 units left shifting to the negative x-axis and 3 units down to negative y axis.

So, the coordinates will be (-6, -2), (-6, 3) and (0, 2)

Learn more about translation here:

https://brainly.com/question/28240374

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PLSS HELP ME IN MATH!!!

Answers

..........the answer is 48 × 10^-8

6²•8² = [?]
Enter the value that goes in the box​

Answers

Answer:

36 * 64

= 2304

Hope it help

help with hw plz also I already found x ​

Answers

Step-by-step explanation:

If you found x already just look for the triangle that equals 180 or whatever the total angle is for problem.

1. Acute 2. Obtuse 3. Right
4. Obtuse 5. Right 6. Acute
7. Acute 8. Obtuse 9. Right

What is m∠1?....................

Answers

answer is 147

hope that helped

Answer:

m∠1 = 147°

Step-by-step explanation:

triangle = 180°

117 + 30 = 147

180 - 147 = 33

line = 180°

180 - 33 = 147

m∠1 = 147°

Becky invests £5000 for 2 years in a bank account.
She gets simple interest at a rate of 3% per year.

Work out the total amount of interest Becky gets by the end of 2 years.

Answers

Answer:

£5300

Step-by-step explanation:

-first you find 3% of 5000, which is £150

-£150 only represents the intreset for one year, but becky invests for 2 years, so:

150*2= 300

-add them together:

300+5000=5300

Find the slope that passes through the line (9, 3) and (2, 7)

Answers

Answer:

-4 / 7

Step-by-step explanation:

m = (y2 - y1) / (x2 - x1)

m = (7 - 3) / (2 - 9)

m = 4 / -7

m = -4 / 7

OR

m = (y2 - y1) / (x2 - x1)

m = (3 - 7) / (9 - 2)

m = -4 / 7

PLEASE HELP QUICK!! THANKS IN ADVANCE!!

Answers

Answer:

d

Step-by-step explanation:

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