Mathematics College

The perimeter of a
triangle is 42cm.
The sidelengths
are x,x+2 and
x+4, what is the
length of the longest
side ?

Answers

Answer 1

Answer:

The longest side is 16 cm

Step-by-step explanation:

[tex]x + (x + 2) + (x + 4) = 42cm \\ x + x + 2 + x + 4 = 42cm \\ 3x + 6 = 42cm \\ 3x = 36cm \\ x = 12[/tex]

check and finish

[tex]12 + (12 + 2) + (12 + 4) = 42cm \\ 12 + 12 + 12 + 6 = 42 cm\\ 36 + 6 = 42cm \\ 42cm = 42cm[/tex]

lengths of sides

[tex]12 + 4 = 16cm \\ 12 + 2 = 14cm \\ 12cm[/tex]

Related Questions

PLS HELP!!! Which of the following function graphs have a range of (-∞, ∞)?

Answers

Answer:

b

Step-by-step explanation:

What is the distance from City B to City D?




A. 12 km
B. 17 km
C. 35 km
D. 47 km

Answers

Answer:

35km please follow me broo

Answer:

it answer C!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

i got it right.

Use Cramer's Rule to solve the system of equations:
Look at the image
Dₓ=
Dᵧ=
D=

Answers

Answer:

watch these video

5:51

solving systems of equations with cramer's rule (KristaKingMath)

Step-by-step explanation:

72 tokens/12 games, tokens/10 games

Answers

72/12=T/10
12T=720
T=60
So ten games cost 60 tokens

the quadratic x2-4x-21 can be witten in the form (x+a)2 +b find the values of a and b

Answers

(x-2)^2-25

How?

[tex]\\ \sf\longmapsto (x-2)^2-25[/tex]

[tex]\\ \sf\longmapsto x^2-4x+4-25[/tex]

[tex]\\ \sf\longmapsto x^2-4x-21[/tex]

Answer:

a = - 2, b = -25

Step-by-step explanation:

Given quadratic expression:

x² - 4x - 21

Convert this into vertex form:

x² - 4x + 4 - 25 = (x - 2)² - 25

Compare this with the vertex form to determine the values of a and b:

a = - 2b = -25

What is greater-3/5 or -0.35

Answers

Answer:

??????

Step-by-step explanation:

Answer: Neither.

Step-by-step explanation:

Both of these mean the same thing, -0.35

Which equation matches the graph of the greatest integer function given
below?

Answers

Answer:  

D. y = [x] - 2

Explanation:  

The Greatest Integer Function is denoted by y = [x].

     For all real numbers, x, the greatest integer function returns the largest integer less than or equal to x. In essence, it rounds down a real number to the nearest lowest integer.

         In the plot of y = [x], the plot starts from origin because y = [0] = 0.

                      But, in the question, all the lines are shifted 2 units downward, as it starts from (0, -2).

i.e for every values of x, y moves two units down

                               So our answer is y = [x] - 2.

(Information reworded from "InesWalston" who is another user on Brainly when they responded to the same question!)

                             Hope this helps, good luck! :D

[ SIDE NOTE: Someone else said that it is y=[x]-4, so I am not 100% sure! ]

Amanda recorded the temperatures at which two oils freeze:


Oil Temperature
Olive oil −6.1 °C
Peanut oil 3.1 °C


Which statement about the temperatures at which these oils freeze is true?
A Peanut oil freezes at a lower temperature than olive oil because 3.1 °C < −6.1 °C.
B Peanut oil freezes at a higher temperature than olive oil because 3.1 °C < −6.1 °C.
C Peanut oil freezes at a lower temperature than olive oil because 3.1 °C > −6.1 °C.
D Peanut oil freezes at a higher temperature than olive oil because 3.1 °C > −6.1 °C.

Answers

Answer:

It's C, Peanut oil freezes at a lower temperature than olive oil because 3.1 > -6.1

School started at 9:15am. After two period lasting 50min each, children had a break. At what time was the break?

Answers

Answer:

10:55

Step-by-step explanation:

9:15/10:05/10:55

Answer:

10:55 AM

Step-by-step explanation:

50 minutes + 50 minutes = 100 minutes

9:15 am + 100 minutes = 10:55 AM

Evaluate the expression when a = 2 and b = 5.
(4a−b)^2+3a
a.12
b.15
c.24
d.80

Answers

Answer:

this is b aka 15 and dont get mad at me for useing aka

Step-by-step explanation:

free brainly if you answer this right 2+2x3x4

Answers

48 or 26? Ima go with 26 since multiplication comes first.

Please help!!!!!!!!??????????!!!!

Answers

A. They began the Trail of Tears

A jar has 4 red marbles 7 blue marbles and 8 yellow marbles what is the probability of randomly selecting a marble and getting a blue marble?

Please help!!!!

Answers

Answer:  7/19

Explanation:

There are 7 blue marbles out of 4+7+8 = 11+8 = 19 total

The probability of selecting blue is therefore 7/19

We cannot reduce 7/19 any further because 7 and 19 have no common factors other than 1.

5. Geometry A rectangular vegetable garden has a length of 8 ft and a width of 5 ft. The width is increased by 2 ft. By how many square feet does the area increase?​

Answers

A rectangular garden has a length of 5ft and a width of 8 ft. The length is increased by 2 feet. By how many square feet does the area increase?

Step 1. Area of a rectangle is given as A=length * width

Step 2. Then, A1=5*8=40 square feet of original area of rectangular garden.

Step 3. Then, A2=(5+2)*8=56 square feet since the length is increased by 2. feet.

Step 4. Difference = A2 - A1 = 56 - 40 = 16 square feet.

Step 5. ANSWER: The area increased by 16 square feet.

Here is a better picture​

Answers

Answer:

Step-by-step explanation:

162:384 in simplest form ratio

Answers

Answer:

27:64

Step-by-step explanation:

162:384 = 81:192 = 27:64

Answer:

27:64 is the answer because it can't be broken down anymore

Step-by-step explanation:

27:64

heyy what is 1756542230 divided by 5
first to answer gets braliest
no links please

Answers

Answer:

351308446................

Answer:

351308446

Step-by-step explanation:

PLEASE HELP!!!!!
will mark brainliest!!!!!

Answers

Answer:

9,7,5,3,1 is the correct fx in the table

Answer: (I trust you can graph the points)

{(6,9), (7, 7), (8, 5), (9, 3), (10, 1)}

Step-by-step explanation:

-2x+21

x=6 -12+21 = 9

x=7 -14+21 =7

x=8 -16+21 = 5

x=9 -18+21=3

x=10 -20+21=1

All four cities have the same digit in one place.what is the place? Write the value of the digit

Answers

good luck

you can do it

i believe

help asap plsssssssssssssssssssssssssss. Find the missing parts of each number line. Assume that the lines have been split into equal parts.

Answers

Answer:

16 for the first one. each segment is 4

40 for the second. each segment is 8

Answer:

0, 4, 8, 12, 16

8, 16, 24, 32, 40, 48

Step-by-step explanation:

The first number line has 6 parts. 24÷6=4. Each vertical line will increase by 4.

So starting at 0, the parts of the number line are:

0, 4, 8, 12, 16, 20, 24

The specific part being asked for is 0, 4, 8, 12, 16

The second number line has 8 parts. 64÷8=8. Each vertical line will increase by 8.

Starting at 0, the parts of the number line are:

0, 8, 16, 24, 32, 40, 48, 56, 64

The specific part being asked for is 8, 16, 24, 32, 40, 48

Use the distributive property to expand
+6+3x)
Which is an equivalent expression?
09.12
03-12
o

Answers

Answer:

(D) 8/5 - 12x

Step-by-step explanation:

-4*(-2/5 + 3x) = -4*(-2/5) - 4*(3x) = 8/5 - 12x

Correct choice is D

Answer:

D. 8/5-12x

Step-by-step explanation:

-4(-2/5+3x)(-4 × -2/5) + (-4 × 3x)( 8/5 )+ (-12x)8/5 - 12x

Option D is the correct answer.

Please help ASAP thank you

Answers

Answer:

A) a = 25

B) b = 14

Step-by-step explanation:

hopefully this helps :)

Question:-

Solve the following:

[tex] \\ \sf \: a) \: \: \frac{a}{5} + 3 = 8[/tex]

[tex] \\ \sf \: b) \: \: \frac{3b}{7} - 1 = 5[/tex]

Solution:-

Solving question a) :

[tex] \\ \sf \frac{a}{5 } + 3 = 8[/tex]

[tex] \\ \sf \mapsto \frac{a + 15}{5} = 8[/tex]

[tex] \\ \sf \mapsto \: a + 15 = 8 \times 5[/tex]

[tex] \\ \sf \mapsto \: a = 40 - 15[/tex]

[tex] \\ \sf \mapsto \: a = 25[/tex]

[tex] \\ \sf \therefore \: a = 25[/tex]

Solving question b) :

[tex] \\ \sf \frac{3b}{7} - 1 = 5[/tex]

[tex] \\ \sf \mapsto \: \frac{3b - 7}{7} = 5 [/tex]

[tex] \\ \sf \mapsto3b - 7 = 5 \times 7[/tex]

[tex] \\ \sf \mapsto3b = 35 + 7[/tex]

[tex] \\ \sf \mapsto \: b = \frac{42}{3} [/tex]

[tex] \\ \sf \mapsto \: b = 14[/tex]

[tex] \\ \sf \therefore \: b = 14[/tex]

Answer:-

a = 25

b = 14

convert 40in to feet

Answers

Answer:

3.33333

Step-by-step explanation:

divide the length value by 12

I honsetly don't even know.

Answers

Step-by-step explanation:

the correct answer is B. [-5, -3]

for x = -5 => f(-5) = 2(-5)²-5

= 50-5

= 45

for x = -3 => f(-3) = 2(-3)² -5

= 18-5

= 13

the change = 45-13 = 32

(this is the greatest)

[-5,-3]

Let's verify

f(-5)

2(-5)²-52(25)-545

f(-3)

2(-3)²-52(9)-518-513

Rate of change

f(-5)-f(-3)/-5-345-13/-8-4

Can you y’all help me with this. i need to know what is the domain and range from this graph. i’m kinda confused for this

Answers

Answer:

The answer is below:

Step-by-step explanation:

The range is everything under and including 6 as we see that it will forever go to numbers under or equal to 6.

The range is all real because the lines will keep on going to infinity and negative infinity

Domain: All Real

Range: y is greater than or equal to 6

Consider marking this as brainliest! It helps a lot!

PLEASE HELP
will mark brainliest

Answers

Answer:

5 is the answerrrrrr

Step-by-step explanation:

Hope this help's

also looking for friend's help me out!!

In writing an equation of a line, keep in mind that you ALWAYS need the following information in order to establish the linear equation:
1. 2 ordered pairs (x,y) on the line
2. Slope (m)

Once you have these two pieces of information, you plug the x and y values from your point and the slope (m) value into the slope-intercept form, y = mx + b.

Select 2 ordered pairs from your table, and substitute those into the slope formula.

Let (x1, y1) = (2, 10)
(x2, y2) = (3, 15)

m = (y2 - y1)/(x2 - x1)
m = (15 — 10)/(3 — 2)
m = 5/1 = 5

Therefore, the slope (m) = 1.

Next, we need to find the value of the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

To solve for the y-intercept, we could use one of the given ordered pairs from the table and the slope. We’ll substitute these values into the slope-intercept form:

We’ll use (2, 10) as values for x and y.

y = mx + b
10 = 5(2) + b
10 = 10 + b
Subtract 10 from both sides to solve for b:

10 - 10 = 10 - 10 + b
0 = b

Therefore, the y-intercept is 0.

Now that we have our slope (m = 5), and y-intercept (b = 0), the linear equation is:

y = 5x + 0 or y = 5x

Please mark my answers as the Brainliest if you find my explanations helpful :)

Can anyone please help me solve this?

Answers

Answer:

y = 9, x = -2

Step-by-step explanation:

1. (9y+4) and (11y-14) are the same size angle, so you can set them equal to each other:

9y+4=11y-14

2. Solve for y:

4=2y-14

18=2y

9=y

3. (3x+28) and 63 together are opposite to (9y+4) so you can set them equal to each other:

(3x+28)+63=(9y+4)

4. You know that y=9, so plug in 9 for y and solve for x:

3x+28+63=9(9)+4

3x+91=85

3x=-6

x=-2

A 2-gallon bucket of paint costs $62.08. What is the price per cup?

Answers

The answer is 1.94 per cup :)

The value of y is directly proportional to the value of x. Given y = 12 when x = 36.
What is the value of y when x = 60?
Enter your answer in the box.
y =

Answers

y=20 since it is 1/3 the value of x

Find the slope of the line containing the pair of points. ​(​7,​4) and ​(6​,-9​)

Answers

Answer:

13

Step-by-step explanation:

We can use the slope formula to find the slope

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

   = ( -9-4)/(6-7)

   = -13/-1

  = 13

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