The lengths in cm, of the sides of a triangle are 3x - 5, 2x-1 and x+1
3x - 5
2x - 1
(a) Write down an expression, in terms of x, for the perimeter of the triangle
(2)
The perimeter of the triangle is 31 cm.
(b) Work out the value of x.

Answers

Answer 1

Answer:

a) p = 6x - 5

b) x = 6

Step-by-step explanation:

a) p = a + b + c

p = 3x - 5 + 2x - 1 + x + 1

p = 6x - 5

b) p = 6x - 5 =31

6x - 5 = 31

6x = 36

x = 6


Related Questions

Can someone give me the answer please

Answers

Answer:

<-.....-8 -7 -6 -5 -4 -3 -2 -1 0................->

The values of the number decreases

Step-by-step explanation:

PLS PLS PLS PLSSS HELPPPP

Answers

Answer:

Step-by-step explanation:

12-12(1-75/100)

12-12(25/100)

12-3

9oz

Amelia was showing off her basketball skills. She scored a total of 14 shots for a total of 32 points. How many 2 point and 3 point shots did she make?

Answers

Answer:

Step-by-step explanation:

x+y=14

y=14-x

2x+3y=32, using y=14-x we have

2x+3(14-x)=32

2x+42-3x=32

-x+42=32

-x=-10

x=10, and since y=14-x

y=14-10=4

So Amelia made 10 two-pointers and 4 three-pointers.

What is a number
between 1.63 and 1.64

Answers

Answer:

1.635

Step-by-step explanation:

allowing 20% discount on the Marked price of a watch value of the Watch will be rupees 2376 of vat of 10% is added find its marked price​

Answers

Answer:

brainly.in/question/15492399

Here your question has been answered.

Hope this helps you, Do mark me as brainliest.

Evaluate using the functions f(x) = 3x–8 and g(x) = -x2+ 4x–11.
1 . f(10+10
2. g(-9)+7
3. -2xg(4)
4. f(-4)-g(7)
5. Given f(x)= 9 –2x, if f(x)= 19, find the value of x.

Answers

The value of f(10)+10 for the given function is 32.

The given functions are  f(x) = 3x-8 and g(x) = -x²+ 4x-11.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

1) Put x=10 in the function f(x) = 3x-8, we get

f(10)=3(10)-8

= 22

So, f(10)+10

= 22+10=32

2) Put x=-9 in the function g(x) = -x²+ 4x-11, we get

g(-9)=-(-9)²+4(-9)-11

= -81-36-11

= -128

So, g(-9)+7

= -128+7

= -121

3) Put x=4 in the function g(x) = -x²+ 4x-11, we get

g(4) = -(4)²+4(4)-11

=-16+16-11

=-11

Now, -2xg(4) =-2x(-11)

=22x

4) Put x=-4 in the function f(x) = 3x-8, we get

(-4)=3(-4)-8

= -20

Put x=7 in the function g(x) = -x²+ 4x-11, we get

g(7)=-(7)²+4(7)-11

= -49+28-11

= -32

5. Given f(x)= 9 –2x, if f(x)= 19

Now, 9-2x=19

⇒ -2x=10

⇒ x=-5

Therefore, the value of f(10)+10 for the given function is 32.

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The ratio of blondes to brunettes in Ms. Sarni's class is 2:3. If there are a total of 25 students, how many of the have blonde hair? *

Answers

Answer:

the number of blonde hair is 10

Step-by-step explanation:

The computation of the number of blonde hair is shown below;

Given that

Ratio of blonde to brunetees is 2:3

And, there is total of 25 students

So, the number of blonde hair is

= 25 × 2 ÷ (2 + 3)

= 25 × 2 ÷ 5

= 10

Hence, the number of blonde hair is 10

Which steps will translate f(x) = 3* to g(x) = 3x + 1 + 4?
O Shift f(x) = 3* one unit up and four units to the right.
O Shift f(x) = 3* one unit up and four units to the left.
O Shift f(x) = 3one unit to the right and four units up.
Shift f(x) = 3* one unit to the left and four units up.
Mark this and return
Save and Exit
Nexi
Submit

Answers

Answer:

the first one of your answers

Step-by-step explanation:

4 by the power of 1 x 3

The correct step to translate f(x) = 3ˣ to g(x) = 3ˣ⁺¹ + 4 is:

Shift f(x) = 3ˣ one unit to the right and four units up. So option C is correct

What are functions?

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

This means that for every x value,

we add 4 to the y-value and move the y-value one unit to the right.

To see this graphically, imagine a graph of the equation f(x) = 3x.

This graph will be a line that passes through the origin (0,0) and has a slope of 3.

If we shift this line one unit to the right, then the x-intercept (the point where the line crosses the x-axis) will change from (0,0) to (1,0).

If we also add 4 to the y-value of every point on this line,

then the y-intercept (the point where the line crosses the y-axis) will change from (0,0) to (0,4).

The resulting graph will be the graph of the equation g(x) = 3ˣ⁺¹ + 4.

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PLEASE
Find the mean, median, mode, and range of the following data set.

4, 3, 2, 4, 6, 6, 4, 3, 3, 4, 5

Mean:

Median:

Mode:

Range:

Answers

Answer:

Mean: 4

Median: 4

Mode: 4

Range: 4

Hope this helps

mean: 4

median: 4

mode: 4

range: 4

2 3 3 3 4 4 4 4 5 6 6

2) Complete the table.
x
20
200
2000
15
20​

Answers

I think it’s 25 but I’m not too sure

You are taking a trip at the same time as another
family. Your family traveled 1.900 miles in 2 days,
their family traveled 2.700 miles in 3 days. Who is
traveling fastera

Answers

Answer:

My family is traveling faster, since it is traveling at the rate of 950 miles per day, while the other family travels at 900 miles per day.

Step-by-step explanation:

Since I am taking a trip at the same time as another family, and my family traveled 1,900 miles in 2 days, while their family traveled 2,700 miles in 3 days, to determine who is traveling faster the following calculation must be performed:

1,900 / 2 = 950

2,700 / 3 = 900

Thus, my family is traveling faster, since it is traveling at the rate of 950 miles per day, while the other family travels at 900 miles per day.

Find the areas of these parallelograms, drawn on a centimetre grid.
b)
a)

Answers

Answer:

a-16cm

b-12cm if not iwill look again

Step-by-step explanation:

Area of the parallelograms are :(a) = 16 cm² and (b) = 12 cm² which is drawn on a centimeter grid.

What is Parallelogram?

A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal. A parallelogram is a square and a rhombus is a square.

The formula to calculate the area of a parallelogram can thus be given as,

Area of parallelogram = b × h square units

where b is the length of the base and h is the height or altitude

For parallelogram (a),

length of the base = 4 cm

the height or altitude = 4 cm

Area of parallelogram (a) = b × h =  4 × 4

Area of parallelogram (a) = 16 cm²

For parallelogram (b),

length of the base = 2 cm

the height or altitude = 6 cm

Area of parallelogram (b) = b × h =  2 × 6

Area of parallelogram (b) = 12 cm²

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Help, I don’t understand this DeltaMath question

In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=52°, and JH = 4.2 feet. Find the length of IJ to the nearest tenth of a foot.

Answers

I can use the angle and the length of JH to find the length of IJ.

To do this, I look at the relationship IJ and JH have to the 52 degree angle. JH is opposite to angle I, and IJ is adjacent to angle I. Because the two side lengths are opposite and adjacent, I use the tangent function to solve this.

Tangent of an angle = the length of the opposite side / the length of the adjacent side. This is just another way to say tan(x)=opposite/adjacent

Now I can fill in what I know...
tan(52)=4.2/x
Now, I want to isolate x.
tan(52) = 4.2/x
x(tan(52))=4.2
x=4.2/tan(52)

Now I put 4.2/tan(52) into a calculator and get x = 3.3 ft

Hope this helps!

One week, Madeline earned $61.20 at her job when she worked for 4 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $214.20?

Answers

Answer:

Step-by-step explanation:

($61.2/4hr)t=$214.2

t=$214.2(4hr/$61.2)

t=14 hours

Who has the better biking rate? Josh bikes 24 miles in 20 minutes and Maddie bikes 39 miles in 30 min

Answers

Maddie just go with it

Factorise the following expression :​

Answers

Answer:

(i)(a - 2y) (3x - 4b)

(iii) (m - n)(m + 4)

Step-by-step explanation:

(i)

3ax - 6xy + 8by - 4ab

= 3x (a - 2y) - 4b (-2y + a)

= 3x (a - 2y) - 4b (a - 2y)

= (a - 2y) (3x - 4b)

(iii)

[tex] {m}^{2} - mn + 4m - 4n \\ \\ = m(m - n) + 4(m - n) \\ \\ = (m - n)(m + 4)[/tex]

Find ALL solutions:

x^4 + 8x = 0

Answers

Answer:

x = 0 or x = -2

Step-by-step explanation:

x^4+8x=0

Step 1: Factor left side of equation.

x(x+2)(x2−2x+4)=0

Step 2: Set factors equal to 0.

x=0 or x+2=0 or x2−2x+4=0

x=0 or x=−2

Answer:

x= 0, -2, 1+i[tex]\sqrt{3}[/tex], 1-i[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Hope it helps ;)

Adrian is walking along the edge of a circular pool. The distance from one end of the pool to the other and through its center is
24 feet
What distance, rounded to the nearest hundredth of a foot, did Adrian cover to complete one lap of the pool by walking along its
edge?
O A
452.39 feet
ов.
37.70 feet
Ос.
75.40 feet
OD
150.80 feet

Answers

Answer:

b

Step-by-step explanation:

What are m and bin the linear equation, using the common meanings of m and b?
1 + 4x + 6 - X= y

Answers

Answer:

[tex] \times = 18[/tex]

What is the measure of Angle A?
A
6x - 20
3x +4

Answers

Answer:

A=152°

Step-by-step explanation:

6x-20=3x+4

3x=24

x=8

6x-20=6(8)-20=48-20=28

A=180-28=152

the difference of d and 7 divided by 2

Answers

Answer:

(D- 7) ÷ 2    

Substitute D

(8 - 7) ÷ 2

1 ÷ 2

0.5

1. HEIGHT Eduardo is 6 feet tall and casts
a 12-foot shadow. At the same time,
Diane casts an 11-foot shadow. Ilow tall
is Diane?

Answers

Answer:

5.5

Step-by-step explanation:

6 feet =12

6 feet = 6x2

11 feet shadow 11/2

answer=5.5

The height of the diane when the height of euardo and diane cast should be given so it should be 5.5.

Calculation of the height:

Since

HEIGHT Eduardo is 6 feet tall and casts a 12-foot shadow. At the same time, Diane casts an 11-foot shadow.

So,

6 feet tall = 12

Now for 11 foot it should be half like 5.5

Hence, The height of the diane when the height of euardo and diane cast should be given so it should be 5.5.

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6) What would be the next three terms in the sequence 1, 3, 9, 27.....? *
2 points

Answers

81


explanation: you are multiplying by 3 each time. 27*3 is 81.
it’s 81!!!!!!!!!!!!!

is AB a tangent why or why not??​

Answers

Answer:

As angle B is a right triangle, the sides AB and CB are perpendicular to each other. From the property of all tangents to a circle given in the beginning it can be concluded that AB is a tangent of the circle

how to prove it's an identity
sin y + sin 3y + sin 5y + sin 7y = 4 cos y cos 2y sin 4y

Answers

Answer:

0.9777102203

Step-by-step explanation:

the identity is 0.9777102203


Line A is represented by the following equation: x + y = 2

What is most likely the equation for line B so the set of equations has no solution? (4 points)

Group of answer choices

x + 2y = 2

2x + 2y = 4

2x + y = 2

x + y = 4

Answers

Answer:

x+y=4

Step-by-step explanation:

No solution means that the lines will never intersect. We know that the slope of line A is -1, and it's y intercept is 2. If you look at the last option for the answer choices, it's slope is also -1, but it's y intercept is at 4. These lines have the same slope, also known as parallel, so they will never intersect, thus giving no solution

Answer:

x + y=4

Step-by-step explanation:

it just is

Evaluate the following expression (2.3)-3(1,1)

Answers

Answer:

2.3 - ( 3, 1)

Step-by-step explanation:

1) Simplify  3 × (1, 1) 3 × (1, 1)  to  3× 1, 13 × 1,1.

2.3 - ( 3 × 1, 1 )

2) Simplify 3 × 1 to 3.

2.3 - ( 3, 1)

Therefor, the answer is 2.3 - ( 3, 1).

The value of the expression is an illustration of equivalent equations

The value of 2.3 - 3(1.1) is -1

How to determine the value of the expression

The expression is given as:

2.3 - 3(1.1)

Open the bracket

2.3 - 3(1.1) = 2.3 - 3.3

Evaluate the difference

2.3 - 3(1.1) = -1

Hence. the value of 2.3 - 3(1.1) is -1

Read more about equations at:

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48 bilyenin 8de 1 i kaç tanedir ​

Answers

Answer:

Huh-

Step-by-step explanation:

I NEED HELP ASAP SO MUCH POINTS!!!!! PLEASE

Answers

Answer:

IT IS D TRUST ME

Step-by-step explanation:

Answer:

A.) A debt of $752 is evenly split among 4 family members

Step-by-step explanation:

It's asking what best represents -188, so in the problem it has to be negative (have keywords like decreasing, debt, minus, etc) which leaves answers A and D, D. has a decreasing of inches (4), however the hours aren't decreasing so the answer is A

Which number line represents the solution to

W - 2 < 8 ?

Answers

Answer:

w<10

number -  A

(<) means "open circle to the left."

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