Solve the perimeter formula for an isosceles triangle, P = 2a + b for a.


a = P + 2b



a = P – 2b

Answers

Answer 1

Answer:

The solution for a is a =  [tex]\frac{P-b}{2}[/tex]

Step-by-step explanation:

To solve an equation for one of its variables, do that

Separate the term of this variable on one side and the other terms on the other sidesMake the coefficient of the variable equals1 (if it is not 1)

Let us solve the question

∵ The perimeter formula for an isosceles triangle is P = 2a + b

∵ We need to solve it for a

→ By using the first step above, subtract the two sides by b to move it

    from the right side to the left side

∵ P - b = 2a + b - b

P - b = 2a

→ By using the second step above, divide both sides by 2

∵ [tex]\frac{P-b}{2}[/tex] = [tex]\frac{2a}{2}[/tex]

∴  [tex]\frac{P-b}{2}[/tex] = a

→ Switch the two sides

∴ a =  [tex]\frac{P-b}{2}[/tex]

The solution for a is a =  [tex]\frac{P-b}{2}[/tex]


Related Questions

Can someone tell me the answers? Like for example point A is 5,3) please help

Answers

Sure! Please give brainly if I'm correct, and thank you!

A= 5,3

B= 0,0

C= -9,-4

D= -10,4

E= 4,-8

F= 10,10

G= -4,0

H= 0,7

I= -6,-8

J= 9,-2

Mary rounds these numbers to the nearest hundred. Which number does she round to 400? Choose all that apply. A) 351. B) 369 C). 401. D) 413. E) 448

Answers

Answer:

401

Step-by-step explanation:

HELP ME ILL MARK YOU BRAINLIEST .....
EXPLAIN YOUR ANSWER PLEASE AND HOW YOU GOT IT..THE STEPS

Answers

Answer:

1. m<rsv is 42 degrees

2.

Step-by-step explanation:

1.

2. Since abc is 95, the two angles you have to solve are going to equal 95 when added because they make up the angle ABC so solving it would be like

(2x+23)+(9x-5)=95 you then solve this which would be

2x+23+9x-5 = 95 - Combine like terms

11x+18=95 Subtract 18 both sides

11x=77 divide by 11

x=7

After this you just put 7 in the equations instead of X and solve it

making angles

Mhanifa please answer this question about lines

Answers

I think the answer is TR

One newspaper reported that the mayor received a salary increase of 5%.Another paper reported that the mayor’s salary went up $2000. What was the mayor’s salary before the increase?

Answers

Answer:

$1900

Step-by-step explanation:

5% increase is $100 dollar

Answer:

Let

x= Mayor’s previous salary

y=his increased salary

5% increase means

(105/100)*x=y——-(1)

From the other reporter

The Mayor’s salary went up $2000

:. y-x=2000———-(2)

Put y= (105/100)*x into equation 2

105x/100 -x =2000

Multiply through by 100

105x-100x=200000

5x=200000

Divide both sides by 5

x=40000

Hence his previous salary was $40,000 and current one is

y=2000 +40000

y=$42000

Step-by-step explanation: from your question, you didn’t state whether it went up by 2000 or went to 2000. I chose went by 2000. If it were to be went to 2000 , the equation will be different. It would been 2000-x=y

what is -23 = -11n + 10 + -3 + 9b = -48 i nEeEd HalPPP

Answers

meh not good at this

Answer:

WHAT IS HE SAYING?!

SOMEONE TELL ME WHAT HE'S SAYING, I DON'T SPEAK TACO BELL.

Explanation:

978/33

Parlings vary directly with mots. If 7.5 mots are worth 37.5 parlings, how many parlings will get you 13 mots?​

Answers

Answer:

65 parlings

Step-by-step explanation:

Use ratios:

7.5 mots / 37.5 parlings = 13 mots / x parlingsx = 13*37.5/7.5x = 65

4
Drag each value and expression to the correct location on the equation. Not all values and expressions will be used.
A patch of farmland is currently worth $78,125. The expected increase in its market value can be modeled by the function below, where tis the
time in years.
P(t) = 78,125 0.025:
How many years will it take for the farmland's market value to reach $125,000?
6.4
In(1.6)
0.025
18.8
13.6
years
years
Reset
Next

Answers

Answer: t = 18.8 years

Step-by-step explanation: The modeled function is an exponential function:

[tex]P(t)=78,125e^{0.025t}[/tex]

which is farmland worth along time.

To determine when the farmland will be worth $125,000:

[tex]125,000=78,125e^{0.025t}[/tex]

[tex]e^{0.025t}=\frac{125,000}{78,125}[/tex]

[tex]e^{0.025t}=1.6[/tex]

Apply natural logarithm:

[tex]ln(e^{0.025t})=ln(1.6)[/tex]

And then, power rule:

[tex]0.025t=ln(1.6)[/tex]

[tex]t=\frac{ln(1.6)}{0.025}[/tex]

t ≈ [tex]\frac{0.47}{0.025}[/tex]

t ≈ 18.8

After 18.8 years, the farmland will reach market value of $125,000.

Answer:

Step-by-step explanation:

For all Plato users.

is the relationship between the side length of a square and the area of a square proportional?

Answers

Answer:

Students make in-out tables to assist them in noticing patterns and generalizing the mathematical relationships. Expect students to discover that area increases proportionally to the square of how much the side length increases.)

Guys i posted this question 100times plz answer i beg, thank you so much, plz show all the working

Answers

Answer:

x = 45.6

Step-by-step explanation:

NOTE: Please double-check my answer.

To find x, I used Sine Law.

[tex]\frac{x + 5}{sin65}[/tex] = [tex]\frac{x}{sin40}[/tex]

(x+5)sin40 = xsin65

xsin40+ 5sin40 = xsin65

xsin40 - xsin65 = -5sin40

x(sin40 - sin65) = -5sin40    (I factored out the "x")

x = [tex]\frac{-5sin40}{sin40 - sin65}[/tex]

x = [tex]\frac{-3.725565802}{0.74511316 - 0.826828679}[/tex]

x = 45.6

Which pairs are like terms in the expression below? Select all that apply.
Žy + } x-0.25 – 6 +(-2)
Ay and { x
and 1
B. žy and
y and -0.2,
C.
1/3 x
and-0.27
D. -0.2y and 2
E. -6 and -2

Answers

Send a picture I don’t really understand

I NEED HELP ASAP!!!

Answers

Answer:

The first and second

Step-by-step explanation:

The first one is right 12/3=4

The second one is right 12*5=60

The third one is wrong 100-184=-84 not 84

HELP I NEED HELP ASAP

Answers

Answer:

Step-by-step explanation:

1). Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

   m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   Therefore, slope of the line passing through two points (2, -10) and (-2, 18) will be,

   m = [tex]\frac{-10-18}{2+2}[/tex]

  m = -7

2). From the table attached,

    Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

    Slope of line passing through (4, -6) and (0, -2) will be,

    Slope = [tex]\frac{-6+2}{4-0}[/tex]

    Slope = -1

If x = 3 and y = 8 , evaluate the following expression: y − x

Answers

Answer:

5

Step-by-step explanation:

y-x

8-5 = 5

The value of the expression y - x is 5.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

y - x

The value of y - x when x = 3 and y = 8.

= y - x

= 8 - 3

= 5

Thus,

The value of the expression is 5.

Learn more about expressions here:

https://brainly.com/question/3118662

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please help me with this! Thank youu​

Answers

Answer:

y=-3x+2

y = [tex]\frac{1}{5}[/tex]x - 5

Step-by-step explanation:

Question 1

It is given that;

- one of the lines has an equation of; y = -3x-7

- the given line's y-int is (0, 2) ~(The y-int is when the line crosses the y axis, hence x is zero)

- these two lines are parallel

When two lines are parallel, their slope is the same, hence  the equations of the given line would look like this;

y = -3x + 2

In the slope-intercept format (which is; y = mx + b, where "m" is the slope, and "b" is the y-intercept).

Questions 2

It is given that;

- one of the lines has an equation of y = -5x + 1

- the given line's y-int is (0, -5) ~(The y-int is when the line crosses the y axis, hence x is zero)

- these two lines are perpendicular

When two lines are perpendicular, their slopes are the negatives reciprocal of each other, hence the equations of the given line would look like this;

y = [tex]\frac{1}{5}[/tex]x - 5

In the slope-intercept format (which is; y = mx + b, where "m" is the slope, and "b" is the y-intercept).

Im solving variables 31 = 3 (y+7) - 8y

Answers

combine like terms
subtract 21 from both sides of the equation
simplify
divide both sides
y=-2

Answer:

y = -2

Step-by-step explanation:

31 = 3 (y+7) - 8y

31 = 3y +21 - 8y

31 = -5y +21

10 = -5y

-2 = y


The temperature in one northern city was -12°F and in a southern city was 57°F. How much warmer
was the southern city than the northern city?

Answers

Answer

69°F

Because

12+57=69

help mee plzz will give brainliest

Answers

Answer: X=12
Explanation: 180-72= 108. 108 divided by 9 is 12

Answer:

Answer: X=12

Explanation: 180-72= 108. 108/9 = 12

Step-by-step explanation:

Simplify: (3+√5)(4-√5)

Answers

Answer:

7+√5

Step-by-step explanation:

Answer:

7+[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Manuel incorrectly claimed that the surface area of the cylinder shown is about 190.0 in.2. Use a formula to find the surface area of the cylinder. Use 3.14 for π. What was his likely​ error?

Answers

The likely error in Manuel's claim is 552.61 in².

We have,

Height = 16 in

Diameter = 11 in

radius = 5.5 in

The surface area of a cylinder.

= 2πrh + 2πr²

= 2 x 3.14 x 5.5 x 16 + 2 x 3.14 x 5.5²

= 552.64 + 189.97

= 742.61 in²

Now,

Manuel incorrectly claimed that the surface area of the cylinder is

190.0 in²

Error = Correct surface area - Claimed surface area

Error = 742.61 in² - 190.0 in²

Error ≈ 552.61 in²

Thus,

The likely error in Manuel's claim is 552.61 in².

Learn more about cylinder here:

https://brainly.com/question/15891031

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Given the statement "r varies jointly as s and t". if r =16 when s = 4 and t =6, what is the constant of the variation?​

Answers

Arrangements for weddings would have been with the local church. Weddings were always a religious ceremony, conducted by a minister. The religions varied but the legal process prior to the wedding was always the same. There were no Registry Office marriages or marriages conducted by a Justice of the Peace. The first stage was Crying the Bann

Someone pls help me solve this I’m having really bad anxiety!

Answers

I'm having anxiety for you too man

Kieran, Jermaine and Chris play football.
Kieran has scored 8 more goals than Chris.
Jermaine has scored 5 more goals than Kieran.
Altogether they have scored 72 goals.
How many goals did they each score?

Answers

Step-by-step explanation:

Find an equation that explains the problem. We can see how many goals the players have scored in comparison to each other. The person with the fewest goals is Chris. Let us say he score x goals. Then we can see that Kieran has scored 8 more than Chris, i.e. x + 8. Jermaine scored 5 more goals than Kieran, therefore x + 8 + 5 = x + 13. Now we have the amount of goals each person scored relative to each other. The total number of goals scored was 72, thus all of these amounts must equal 72.  

x + (x + 8) + (x + 13) = 72

Now we can rearrange and solve for x.

3x + 21 = 72

3x = 51

x = 17

A plot of land is in the shape of a triangle. Two of the angles measure 48 degrees and 74 degrees. The length of the side between them is 90 m.


a) calculate the perimeter of the plot, to the nearest meter.

b) calculate the area of the plot, to the nearest square meter.

Answers

Answer:

Perimeter = 271 meters

Step-by-step explanation:

third angle measure would have to be 180 - 122 = 58 degrees

you can use the law of sines:

sin 58° = sin 74°

   90           b

.85 = .96

 90       b

cross-multiply:  .85b = 86.4

                          b = 102

now do again to find third side:

sin 58° = sin 48°

   90           c

.85 = .74

 90       c

.85c = 67

c = 79

now you know all 3 sides so add them to get perimeter (79+102+90) = 271

I’ll give brainlest if you get it right if wrong no brainlest

Answers

Answer:

2. Isosceles triangle

3. Isosceles triangle

4. Isosceles triangle

5. Equilateral triangle

6. Scalene triangle or Isosceles triangle

Step-by-step explanation:

Answer:

2) Isosceles triangle

3) Scalene Triangle

4) Scalene Triangle

5)  Equilateral Triangle

6) Isosceles triangle

Step-by-step explanation:

the image should help you

can someone help me with 26 and 27?

Answers

Answer:

B

Step-by-step explanation:

Select two ratios that are equivalent to 2:92:92, colon, 9.

Answers

Answer:

The only options equivalent to 2:9 are B and C. A ratio is a comparison between two or more numbers

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

What shortcut could you use to prove the triangles congruent?
O HL
O SAS
O ASA
SSS
OSSA
CNBD
O AAS

Answers

Answer:

AAS

Step-by-step explanation:

You can see that two angles and one side are congruent.

The last one is y-2=-(x-4) sorry I couldn’t fit it all in

Answers

Answer:

y + 2 = (x - 2)

Step-by-step explanation:

From the graph, you can see that when y = 0, x = 2, and vise versa. Taking this into consideration, if y = 4, x = 2, so, the answer is y + 2 = (x - 2)

Which description corresponds to the relationship shown in the table

Answers

Answer:

A

Step-by-step explanation:

earning $10 an hour because it increases by 40

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