17) The measures of two sides of a triangle are (2x + 3y) and (5x – 2y). If the perimeter
of the triangle is (12x + 5y), what is the measure of the third side?

Answer:

last choice

Step-by-step explanation:

be the best option because the x+8 cross each other out which leaves you with x+3 x-3 over x²+4 unless you cross the x out but no option on there haves that

Answer:

8 sq units

Step-by-step explanation:

hope it helps you

Hi There!

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex] (Slope formula)

Where

y2 is the y-coordinate of the second point

y1 is the y-coordinate of the 1st point

x2 is the x-coordinate of the second point

x1 is the x-coordinate of the 1st point

In this case:

y2=3

y1=-2

x2-5

x1=0

Plug in the values and solve:

[tex]\displaystyle\frac{3-(-2)}{5-0}[/tex]

[tex]\displaystyle\frac{3+2}{5}[/tex]

[tex]\displaystyle\frac{5}{5}[/tex]

[tex]1[/tex]

The slope is: 1

Hope it helps!

Have an awesome day!

[tex]\huge\text{TheStarryNights :D}[/tex]

Answer:

Hi There! (Slope formula)Wherey2 is the y-coordinate of the second pointy1 is the y-coordinate of the 1st pointx2 is the x-coordinate of the second pointx1 is the x-coordinate of the 1st pointIn this case:y2=3y1=-2x2-5x1=0Plug in the values and solve:The slope is: 1Hope it helps!Have an awesome day!

Step-by-step explanation: hope this helps☁️

Answer:

The rule for a reflection over the y -axis is (x,y)→(−x,y).

Step-by-step explanation:

Answer:

Down Here

Step-by-step explanation:

Step 2:

Statement: m∠AEB ≅ m∠ CED

Reason: Vertical Angles

Step 3:

Statement: BE = DE

Reason: Def. of bisect

Step 4:

Statement: AE = CE

Reason: Def. of bisect

Step 5:

Statement: ΔAEB ≅ ΔCED

Reason: SAS

Step 6:

Statement: AB = DC

Reason: CPCTC (congruent parts of congruent traingles are congruent)

-Chetan K

213_5 = 2*5^2 + 1*5 + 3 = 58 base 10

1111_5 = 5^3 + 5^2 + 5 + 1 = 156 base 10

Answer:

a) 235.62 cm³ (nearest hundredth)

b) 2. tripling the height to 9 cm, while the radius remains 5 cm, gives the most volume

Step-by-step explanation:

volume of a cylinder = [tex]2\pi r^2h[/tex]  (where r is the radius and h is the height)

Given:

a) ⇒ volume = [tex]\pi \times 5^2 \times 3=75\pi =235.62[/tex] cm³ (nearest hundredth)

b)  Given:

⇒ volume = [tex]\pi \times 10^2 \times 3=300\pi =942.48[/tex] cm³ (nearest hundredth)

Given:

⇒ volume = [tex]\pi \times 5^2 \times 9=225\pi =706.86[/tex] cm³ (nearest hundredth)

Therefore, 2) tripling the height to 9 cm, while the radius remains 5 cm, gives the most volume

Hello!

2(c-4+1)

= 2c -8 +2

= 2c -6

Answer:

y=3/4x+2

Step-by-step explanation:

2 is the y intercept.

Go up 3 right 4 to reach a even point.

The pairs of integer factors of the given integer 7 are; -1, 1 and -7, 7.

The integer number given in the task content, whose pair of integer factors are to be determined is; 7.

By observation, it follows that the given integer, 7 is a prime number. On this note, only 1 and 7 are actual factors.

Ultimately, the required pair of integer factors are; -1, 1 and -7,7.

Read more on factors;

https://brainly.com/question/1258294

Answer:

2000

Step-by-step explanation:

First, we have to find how many votes there were.

Since the losing candidate had 40% of the votes, that means the winning candidate had 60% of the votes.

Let x = amount of votes for losing candidate

x/40 = 900/60

Cross multiply

60x = 36,000

Divide both sides by 60

x = 600

The losing candidate had 600 votes

Add that number to 900 and we find the total amount of votes, which is 1500.

This number is the people who voted.

Now we have to find how many did not vote.

Since 25% of people did not vote, that makes people who did vote 75%

Let y = amount of voters who did not vote

y/25 = 1500/75

75y = 37,500

Divide both sides by 75

75y/75 = 37,500/75

y = 500

This means that 500 voters did not cast a vote.

Add that number to 1500 and we get that the total amount of voters is 2000

Answer: y + 4 = (x - 3)2, y = (x - 1)(x - 5

Step-by-step explanatin

In this lesson, you will see some advantages of a third form called factored form. Below are graphs of three equations

Answer:

The value of x is 2 and y is (-5)

Step-by-step explanation:

First name the equation

Now, Multiply equation (1) by 3 we get,

3 × (-7x + y = – 19)

-21x + 3y = – 57

Now, Eliminate

-21x + 3y = – 57

-2x + 3y = – 19

+ – +

-19x = -38

x = -38/-19

x = 2

Now, Put the value of x in equation (2) we get the value of y.

-7x + y = – 19

-7(2) + y = – 19

-14 + y = -19

-14 + 14 + y = -19 + 14

y = -5

Thus, The value of x is (-5) and the value of y is 2.

-7x + y = – 19

-7(2) + (-5) = – 19

-14 – 5 = – 19

-19 = -19

-2x + 3y = – 19

-2(2) + 3(-5) = – 19

-4 – 15 = – 19

-19 = -19

Here, L.H.S = R.H.S

Hence Verified!

-TheUnknownScientist 72

Step-by-step explanation:

p=n+ 2/d

Multiply both sides of the equation by d.

pd=dn+2

Swap sides so that all variable terms are on the left hand side.

dn+2=pd

Subtract 2 from both sides.

dn=pd−2

The equation is in standard form.

dn=dp−2

Divide both sides by d.

dn = dp−2/d

Dividing by d undoes the multiplication by d.

n= dp−2/d

Divide pd−2 by d.

n=(p−2)/d

Answer:

12C

Step-by-step explanation:

4 hours from 12-8= 4 hours

4x2=8

8+5=13

13-1 C because its 30 mins difference

12C

Answer:

C

Step-by-step explanation:

A is incorrect because -3.1 is rational.

B is incorrect because 1.14 repeating is rational.

C correct because everything that can be expressed as a fraction is on the left and everything that can't is on the right.

D is incorrect because pi is irrational.

Answer:

(answer below)

Step-by-step explanation:

[tex]-2\geq x\leq 7[/tex] and -8 < x> -1

Answer:

A ans - 50/6 process I an sending

Answer: Only Statement 1 is True.

Step-by-step explanation:

A box is essentially a rectangular prism, which has 8 corners. Tubes, pipes, and cans are cylinders because the corss-section of them are circular and the connection between the bases are parallel.

By finding the line and evaluating, we will see that x = 41/11

First, we need to get the line, for a line that passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

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

So here we use the points (-5, -6) and (1, 5), the slope will be:

a = (5 - (-6))/(1 - (-5) = 11/6

So the line is something like:

y = (11/6)*x + b

To get the value of b, we use one of the given points, for example if we use the second point we must have:

5 = (11/6)*1 + b

5 - 11/6 = b

30/6 - 11/6 = b

19/6 = b

So the line is:

y = (11/6)*x + 19/6

Now, to find the value of x, we replace y by 10:

10 = (11/6)*x + 19/6

60/6 - 19/6 = (11/6)*x

41/6*(6/11) = x = 41/11

So the person in the image got it correct, but with other method.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/4074386

Lines are colinear so slopes must be equal

Answer:

Step-by-step explanation:

We can find the slope by using two points on the line itself.

Lets use the points (0, -3) and (6, 0)

The slope's equation is [tex]\frac{y2 - y1}{x2-x1}[/tex]

Thus we get [tex]\frac{0 - - 3}{6-0} = \frac{1}{2}[/tex]

So the slope is 1/2

Hope that helps!

Answer:

slope = 1/2

Step-by-step explanation:

Use the formula:
[tex]\frac{dy}{dx}[/tex] OR  change in y/change in x

If we take an x value of -6 and y value of -3 we get 1/2 as the answer.

Answer:

$3125 dollars

Step-by-step explanation:

Given the following question:

25% of 2500

In order to find the answer, we first will have to use the formula to calculate percentages to find 25% of 2500, then we add that answer onto the initial amount to have our answer.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{25\times 2500}{100} =25\times2500=62500\div100=625[/tex]
[tex]=625[/tex]

Now add:
[tex]2500+625=3125[/tex]
[tex]=3125[/tex]

Which means after a 25% increase the diamond will cost "$3125 dollars."

Hope this helps.

The cost of one orange is 76 p.

Division is a mathematical operation that is used to determine the quotient of a set of numbers. The sign used to denote division is ÷.

The first step is to know how many pence makes a pound.

100 pence = 1 pound

The second step is to convert £1 52 p to pence

1 x 100 + 52 = 152p

The third step is to divide, 152 by 2

152/2 = 74p

To learn how to convert units, please check: https://brainly.com/question/25993533

Answer:

The area is 25.5

Step-by-step explanation

just because

Answer:

W and T are midpoints of the legs

Step-by-step explanation:

Answer:

5.84$

Step-by-step explanation:

dividing 17.52$ by 3 will get you 5.84 inverted 5.84$+5.84$+5.84$=17.52$

Answers:

[tex]\sin(30^{\circ}) = \frac{1}{2}\\\\\\\cos(30^{\circ}) = \frac{\sqrt{3}}{2}\\\\\\\tan(60^{\circ}) = \sqrt{3}\\\\[/tex]

=======================================================

Work Shown:

Problem 1

[tex]\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(30^{\circ}) = \frac{7}{14}\\\\\sin(30^{\circ}) = \frac{1}{2}\\\\[/tex]

-------------------------

Problem 2

[tex]\cos(\text{angle}) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(30^{\circ}) = \frac{7\sqrt{3}}{14}\\\\\cos(30^{\circ}) = \frac{\sqrt{3}}{2}\\\\[/tex]

------------------------

Problem 3

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(60^{\circ}) = \frac{7\sqrt{3}}{7}\\\\\tan(60^{\circ}) = \sqrt{3}\\\\[/tex]

6350×90÷10

=6350×9

=57,150

Original Price=57,150