Find the length of YZ

Find The Length Of YZ

Answers

Answer 1

Answer:

[tex]YZ = 19cm[/tex]

Step-by-step explanation:

To figure out what line YZ equals, we must first find x. And to do this, let's set up an equation.

Firstly, we know that XY is 8cm, and XZ is 4x+3. So, we know that XY + YZ will equal XZ. Let's set that up:

[tex]8 + 2x+7=4x+3[/tex]

Combine like terms.

[tex]2x+15=4x+3[/tex]

Subtract 2x from both sides.

[tex]15=2x+3[/tex]

Subtract 3 from both sides.

[tex]12=2x[/tex]

Divide both sides by 2.

[tex]6=x[/tex]

Now, we just need to plug 6 into the equation of YZ.

[tex]2(6)+7[/tex]

[tex]12+7[/tex]

[tex]YZ = 19[/tex]


Related Questions

− 9/ 5 v = 10 plz hurrryryryryryryryryry

Answers

Answer: v=559

Step-by-step explanation:Solve for V

by simplifying both sides of the equation, then isolating the variable.

Exact Form:

V=−509

Decimal Form:

V=−5.¯5

Mixed Number Form:

V=−559

Hope this helps!!!!!!

18x + x = 8x - 20x
What kind of problem is this? (one solution, no solution, infinitely/many)

Answers

Answer:

no solution

Step-by-step explanation:

Answer:

its an infinitely/many

Step-by-step explanation:

this is hardddddddddd i think

Answers

-14x + 7x^2 is the answer

Answer:  7x²  - 14x

Steps: 7(-2x + x²)

Apply the distributive law [ a(b + c) = ab + ac ]:   7(-2x) + 7x²

Apply negative/positive rules:  -7 × 2x + 7x²

Simplify: 7x²  - 14x

State whether the function is a polynomial function. Give the zeros of each function, if they exist.

1. f(x) = 17 - 3x

-I already know that the answer is 17/3, but I just need someone to show me the work out so I can understand how to do the basics of Pre-Calc since I'm a month late in the class. Thank you!-

Answers

You answer is correct

what can you erase with a eraser and your finger answer this correctly and you get 25 points and brainly

Answers

My     will     to     live.                                  

..................................................

which expressions are equal to 3/5 × 6

a. 3 × ( 6 ÷ 5 )

b. 3 ÷ (5 × 6 )

c. ( 3 × 6 ) ÷ 5

d. 3 × 6/5

Answers

Answer:

A & C & D

Step-by-step explanation:

A & C & D both show the commutative property of multiplication and therefore is the correct answer because 3/5(6) = 18/5 and 3(6/5) is also 18/5.

3 x (6÷5) is also 18/5

(3×6)÷5 is also 18/5

A timber company in northern Georgia is harvesting pine trees to sell by the cord. A typical acre produces 13.85 cords of wood, and the company sells each cord for $19.20. How much money can the timber company expect to make from each acre of pine trees?

Answers

$265.92 per acre I think


A farmer has 48 feet of fence with which to make a corral. If he arranges it into a rectangle that is twice as
long as it is wide, what are the dimensions?
The shorter side is ?
feet while the longer side is ?
feet.

Answers

Answer:

The shorter side is 8 feet

the longer side is 16 feet

Step-by-step explanation:

lets call the shorter side x.

let's call the longer side 2x (because it's twice as long as the shorter side)

you know that the perimeter is 48 feet.

the perimeter would be 2(short side) + 2(long side)

using this, you can make the following equation:

2(x) + 2(2x) = 48

open the parenthesis.

2x + 4x = 48

6x = 48

x = 8

2x = 16


If y varies inversely as x and y = 8 when x = 3, find the value of x when y = 12

Answers

Answer:

x = 7

Step-by-step explanation:

................Hi.....................

A car dealer paid $21,000 for a car and marked it up by 1/3 of the price he paid.How much did he sell the car for?

Answers

Answer:

$28000

Step-by-step explanation:

Cost of the car = $21000

Mark up = 1/3*21000 = $7000

Sale price = 21000 + 7000 = $28000

What is 3 3/8+ 5/12=_____.Plz tell me!

Answers

Answer:

3 19/24

Step-by-step explanation:

Paul was going to sell all of his stamp collection (s) to buy a video game. After selling half of them he changed his mind. He then bought ten more. How many did he start with if he now has 22?

Answers

Answer:

Paul had 24

Step-by-step explanation:

He has 22 now. Subtract the 10 he just bought for 12, which was half of his original collection.

22-10=12

12×2=24

how do i add 3=5 jejekfewnfkwnwewkjfnw

Answers

Answer:

You can't it is a false statement.

Step-by-step explanation:

You probably made an error.

3 + 5 is 8 unless you wanted this 3 + 2 = 5

Given the following two points write the equation in slope intercept form: (0, -5) and (4, 3)

Answers

Answer:

[tex]y=2x-5[/tex]

Step-by-step explanation:

Let's start by finding the slope using the two points given. Use the formula for slope below:

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

Identify your values:

[tex]x_1=0\\x_2=4\\y_1=-5\\y_2=3[/tex]

Substitute:

[tex]m=\frac{3-(-5)}{4-0}[/tex]

Combine terms:

[tex]m=\frac{8}{4}[/tex]

Simplify:

[tex]m=2[/tex]

_

Let's graph these two points. As seen on the graph attached, we can see that [tex]-5[/tex] is the y-intercept. With our slope and y-intercept, we have the information needed to formulate an equation in slope-intercept form:

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

Identify your values:

[tex]m=2[/tex]

[tex]b=-5[/tex]

Substitute:

[tex]y=2x-5[/tex]


HELP PLEASE PLEASE 10 PONITS PLEASE ASAP

Answers

Answer:

S = { }

Step-by-step explanation:

The set S has no members

Help please! I was absent the day we talked about this and im super confused.

Answers

Answer: It may be 25 or 101

Step-by-step explanation:

2/3 divided by 5 please help me I'm bad at math (it needs to be a fraction)

Answers

Answer:

The answer is 4

Step-by-step explanation: I did the work and it works out like that I hope this helps

Pleaseee helppp mmeeee!

Answers

Answer:

They are both 45 degrees

Step-by-step explanation:

The square in the middle means a right angle (90) and 5 and 6 are equal too so they both equal 45

Which of the following equations have no solution? Check all that apply.
6x + 1 = 3(2x – 4)
2 – 5x = 7x – 12
4(3 – x) = 2(6 – 2x)
5(x + 2) = 2(x – 4)
–4(x + 3) = 4(–x – 1)

Answers

Answer:

–4(x + 3) = 4(–x – 1) and 6x + 1 = 3(2x – 4)

Step-by-step explanation:

Answer:

1 ans 5

Step-by-step explanation:

no solution              –––

6x + 1 = 3(2x - 4)

6x + 1 = 6x - 4

6x - 6x + 1 = 6x - 6x - 4

1 ≠ -4

one solution

2 - 5x = 7x - 12

2 -5x + 5x = 7x + 5x - 12

2 = 12x - 12

2 + 12 = 12x - 12 + 12

14 = 12x

x = 14/12

infinite solutions

4(3 - x) = 2(6 - 2x)

12 - 4x = 12 - 4x

12 - 12 - 4x + 4x = 12 - 12 - 4x + 4x

0 + 0 = 0 + 0

0 = 0

one solution

5(x + 2) = 2(x - 4)

5x + 10 = 2x - 8

5x - 5x + 10 + 8 = 2x - 5x - 8 + 8

18 = -3x

x = -6

no solution                            –––

-4(x + 3) = 4(-x - 1)

-4x + 4x - 12 = -4x + 4x - 4

-12 ≠ -4

n/n-5 = 4/6

please help

Answers

Answer:

4/11

Step-by-step explanation:

Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be placed in the corner of a city park the garden to be placed in the corner of a city park. The garden is a right triangle with base 10m and height 15m. Draw the garden such that 1 unit on the grid below represents 2 m

Answers

Given:

The garden is a right triangle with base 10m and height 15m.

To draw:

The garden such that 1 unit on the grid below represents 2 m.

Solution:

We have,

1 unit = 2 m

So,

1 m = 0.5 units

Using this conversion, we get

10 m = 5 units

15 m = 7.5 units

Therefore, the base garden on the grid is 5 units and height is 7.5 units as shown below.

Solve for x. −4≤11−3x

Answers

Answer: x ≤ 5

Explanation: −4 ≤ 11 − 3x = x  ≤ 5

Answer:

The answer is x ≤ 5.

Step-by-step explanation:

Translate the sentence into an equation.

Twice the difference of a number and 5 equals 3.

Use the variable x for the unknown number.

Answers

Answer:

I believe it's 2(x-5)=3

(f + h)(x)
given f(x)= 3x-2x+4, g(x)= 8x-2, h(x)= 3x +2

Answers

Answer:

To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.

(f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f  × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(  

g

f

​  

)(x)=  

g(x)

f(x)

​  

 

= \small{\dfrac{3x+2}{4-5x}}=  

4−5x

3x+2

​  

 

My answer is the neat listing of each of my results, clearly labelled as to which is which.

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(  

g

f

​  

)(x)=  

4−5x

3x+2

Step-by-step explanation:

A bird leaves its nest and travels 15 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours.

a. What is the distance of the entire trip?

miles

b. How long does the entire trip take?

_hours
_minutes and
_seconds

Answers

Answer:

A)

10 miles.

B)

0 hours, 40 minutes, and 0 seconds.  

Step-by-step explanation:

Remember that distance is given by the formula:

[tex]d=st[/tex]

Where d is the distance, s is the speed, and t is the time.

We know that the bird leaves its nest and travels 15 miles per hour for x hours. So, let's substitute 15 for s and x for t:

[tex]d=15x[/tex]

On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours.

Since this is the return trip, the distance d remains the same. We know that the bird travels 3 miles per hour slower, so it's speed is 15-3 or 12 miles per hour.

However, after x hours, it still has 2 miles left until reaching the destination. So, we will subtract 2 from d. This gives us the equation:

[tex]d-2=12x[/tex]

We can solve this using substitution. Since we already know that d is 15x. Substitute:

[tex]15x-2=12x[/tex]

Solve for x. Subtract 12x from both sides:

[tex]3x-2=0[/tex]

Add 2 to both sides:

[tex]3x=2[/tex]

Divide both sides by 3:

[tex]x=2/3[/tex]

Therefore, the bird traveled for a total of 2/3 hours or 40 minutes.

And the distance the bird traveled is:

[tex]d=15x[/tex]

Substitute 2/3 for x to get:

[tex]d=15(2/3)=30/3=10\text{ miles}[/tex]

And we're done!

Please help I will mark brainliest

Solve the equation. x - 4 = -5x - 28 x =

Answers

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/4-(28/1)=0

Step by step solution :

STEP

1

:

28

Simplify ——

1

Equation at the end of step

1

:

x

— - 28 = 0

4

STEP

2

:

x

Simplify —

4

Equation at the end of step

2

:

x

— - 28 = 0

4

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

28 28 • 4

28 = —— = ——————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (28 • 4) x - 112

———————————— = ———————

4 4

Equation at the end of step

3

:

x - 112

——————— = 0

4

STEP

4

:

When a fraction equals zero

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x-112

————— • 4 = 0 • 4

4

Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-112 = 0

Solving a Single Variable Equation:

4.2 Solve : x-112 = 0

Add 112 to both sides of the equation :

x = 112

One solution was found :

x = 112

Step-by-step explanation:

make me as brain liest

Given the equation 9x - 3y - 27 in standard form. Show how you would
convert the equation into slope-intercept form - y = mx + b. You must
show your work to receive full credit. (3 points)

Answers

A standard form equation is when it is set up

Ax + By = C.

6x + 2y = 4

A slope-intercept form equation is when it is set up y=mx+b.

Y = - 3x + 2

In order to go from one form to another, all you have to do is change the order of the given numbers.  First you want to move the Ax to the opposite side of the equation, by either adding or subtracting it.  At this point your equation will be set up By = -Ax + C.  Then you want to divide the B from the By and the rest of the equation.  Therefore you will have y = - Ax/B + C/B.  This is the same thing as the slope-intercept form, just a few of the letters are different.

Example 1:        

Change from standard to slope form

8x + 4y = 16

8x + 4y = 16  first subtract  8x

4y = -8x + 16   then divide all by 4

y = -2x + 4   slope form

Example 2:

 6x + 3y = 21

6x + 3y = 21  subtract  6x

3y = -6x + 21  then divide all by 3

y = -2x + 7   slope form

pls mark brainest

The sum of the first three terms of a sequence is 6 and the fourth term is 16

Answers

Answer:

              a₁ = -5, d = 7,  a₂ = 2, a₃ = 9, a₄ = 16

equation of sequence:    [tex]\boxed{\bold{a_n=7n-12}}[/tex]

Step-by-step explanation:

a₁ + a₂ + a₃ = 6    

a₁ + a₁ + d + a₁ + 2d = 6

3a₁ + 3d = 6

a₁ + d= 2     ⇒ a₁ = 2 - d

a₄ = 16

a₁ + 3d = 16

2 - r + 3d = 16

2d = 14

d = 7

a₁ = 2-7 = -5

a₁ = -5, d = 7   ⇒  a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16

equation of arithmetic sequence:

[tex]a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}[/tex]

А
А
w
B
B
B.
Pair 1
Pair 2
Pair 3
1. Which transformation takes Figure A to Figure B in Pair 1: a translation, rotation, on
reflection? [Select)
2. Which transformation takes Figure A to Figure B in Pair 2: a translation, rotation, on
reflection? (Select ]
3. Which transformation takes Figure A to Figure B in Pair 3: a translation, rotation, on
reflection? Select ]

Answers

Answer:

see below

Step-by-step explanation:

Pair 1 is a rotation since we turn figure A into figure B

Pair 2 is a reflection since we flip figure A into figure B over a horizontal line

Pair 3 is a translation since we slide figure A into figure B by moving it down

I need help plz
I am back at my times so could you helpp
3 x 7
9 x 8
12 x 9
Thank you UwU

Answers

Answer:

1731996

Step-by-step explanation:

i think thats the answer if not sorry hopefully i helped <3

Answer:

I can help you!

Step-by-step explanation:

3x7 you should add #7 3 times. That would be 21

9x8 you should add #8 9 times. That would be 72

12x9 you should add #9 12 times. That would be 108

Hope it helped

Other Questions
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