UKMT Q8??? I have inserted the photo of the question

UKMT Q8??? I Have Inserted The Photo Of The Question

Answers

Answer 1

Answer: The distance is 15 units.

Step-by-step explanation:

Let's define the bottom left corner of the left rectangle as the point (0, 0).

we know that the rectangles are of 10 by 14, then the point O will be exactly on the middle of these two quantities (because the long side is on the horizontal axis, the point O could be written as):

O (7, 5)

Point M is on the top of the rectangle, then we know that the y component will be equal to 14.

And the x component is on the middle of the rectangle (this side is the one that measures 10 units)

the middle is 5.

And we also need to add the 14 units of the other rectangle that is lying down, then the x-component of this rectangle is 14+ 5 = 19

The point M is (19, 14)

We want to find the distance between the points (7, 5) and (19, 14)

We know that the distance between points (a, b) and (c, d) is:

Distance = √( (a - c)^2 + (b - d)^2)

In this case, the distance between points O and M will be:

distance = √( (7 - 19)^2 + (5 - 14)^2) = 15

Distance between points O and M is 15 units.


Related Questions

Write an exponential function to model the following situation.
A population of 130,000 grows 3% per year for 16 years.
How much will the popluation be after 16 years?
Write an exponential function in terms of x.
y=10

Answers

Answer:

y = 130,000(1.03)ˣ

Step-by-step explanation:

The general form of an exponetial function is y = abˣ, where a is the initial value (when x = 0), and b is the multiplier (the growth or decay factor). Here, we start with a population of 130,000, so our initial value a = 130,000. A growth of 3% each year represents a growth factor of 1.03, so after x years, the population y should be y = 130,000(1.03)ˣ.

The exponential function in terms of x and y is y = 130,000(1.03)ˣ

What is an exponential function ?

The exponential function is a mathematical function denoted by

y = abˣ

where a is the initial value (when x = 0)

and b is the multiplier (the growth or decay factor).

population starts from 130,000, so

Initial value a = 130,000.

A growth of 3% each year represents a growth factor of 1.03,

so after x years, the population y should be

y = 130,000(1.03)ˣ

Therefore , The exponential function in terms of x and y is y = 130,000(1.03)ˣ

To know more about exponential function

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Can anyone help me with this question please :( .

Answers

Answer:

I think it's non linear because the 1 to 1 wouldn't work

Hello Guys will ya'll pls help me with these
quiestions...?

Answers

Answer:

I'll help you with this so reflections is not hard.

For reflect over x-axis you need to switch the sign on Y. formula for points like this is (x,y). An example is reflect (2,4) over the x-axis. you just change the sign of y making the answer (2,-4).

For reflect over y-axis you change the sign of X.For example reflect over the y-axis (3,7) all you have to do is change the sign of X which leaves you with the answer of (-3,7).

sign is basically + or - if need to know.

I hope this helps you in the long run.

Select the correct answer.

Factor the given expression.

x2 + 16x + 64


A.
(x + 16)(x + 4)
B.
(x + 4)2
C.
(x + 8)(x − 8)
D.
(x + 8)2

Pls help will give brainliest if the answer it right

Answers

Answer: Factors are the numbers and/or variables between your transactions (division, multiplication, addition, and subtraction signs). So the answer would be x2, 16x, and 64.

Step-by-step explanation:

You welcome

Can I get brainliest when sun else answers?

Next year, the company expects to have a production represented by the equation y = 4x.

Which of the following describes how the graph of the line would change if the company meets its goal?
A.
The line will be shifted up four units.
B.
The line will be shifted up two units.
C.
The slope of the line will be half as steep.
D.
The slope of the line will be twice as steep.

Answers

D. The slope of the line will be twice as steep

— 3х – 4y = 2
—5 = 5x +5y
Systems of equations with substitution

Answers

Answer:Rewrite  

(

3

x

4

y

)

2

as  

(

3

x

4

y

)

(

3

x

4

y

)

.

(

3

x

4

y

)

(

3

x

4

y

)

Expand  

(

3

x

4

y

)

(

3

x

4

y

)

using the FOIL Method.

Tap for fewer steps...

Apply the distributive property.

3

x

(

3

x

4

y

)

4

y

(

3

x

4

y

)

Apply the distributive property.

3

x

(

3

x

)

+

3

x

(

4

y

)

4

y

(

3

x

4

y

)

Apply the distributive property.

3

x

(

3

x

)

+

3

x

(

4

y

)

4

y

(

3

x

)

4

y

(

4

y

)

Simplify and combine like terms

Simplify each term.

9

x

2

12

x

y

12

y

x

+

16

y

2

Subtract  

12

y

x

from  

12

x

y

.  

9

x

2

24

x

y

+

16

y

2

Step-by-step explanation:

Use the Distributive Property to simplify the expression: 2(4a+6b)

Answers

8a+12b because you multiply 2 by each number. For example 4a times 2 is 8a and 6b times 2 is 12b

Hope that helped :)

Answer:

[tex]\huge\boxed{\sf{8a+12b}}[/tex]

Step-by-step explanation:

Hello.

Use the Distributive property to simplify the expression.

The Distributive property states that

a(b+c)=ab+ac

Simplify:

2(4a+6b)

8a+12b (Answer)

I hope it helps.

Have an awesome day.

[tex]\boxed{imperturbability}[/tex]

write the multiplier or divisor for each pair of equivalent fractions 1/4 = 7/28​

Answers

I’m not sure but 4 good in 28 7 times... if that helps at all

Which of the points are solutions to the inequality check all that apply identifying solutions to any quality

Answers

Answer:

(0, -4)

Step-by-step explanation:

WILL MARK YOU BRAINLIEST

Answers

Answer:

Hey i think its C

Step-by-step explanation:

Joe's cell phone cost him $21 per month plus $3 for every 1GB downloaded. What is the limit to the number of GBs he can download to stay within his monthly budget of $30?

Answers

Answer:

3GB’s you just add 21 to 3 and keep adding 3 until you reach 30

21+3=24 24+3=27 27+3=30

Step-by-step explanation:

joe can only use 3gb of data . bill is 21

21+9+30

1gb=3

3*9=9

3(3)+21=30

3×3=$9

$21+9= $30

he can download up to 3 gbs anymore and he'll go over budget.

Evaluate the following expression.
1/8^2 I NEED HELPPPP!!!!!!!!

Answers

Answer:

1/64

Step-by-step explanation:

A parent purchased a dictionary for $13.50 and a pack of printer paper for $4.50. The sales tax rate was 4%. What was the total bill, including the sales tax?

Answers

Answer:

$18.72

Hope this helps :)


What’s the answer! Need help with this ASAP please

Answers

Answer:

4 41 students study both chemistry and physics at random

Rewrite this expression using the distributive property.
(3x2 + 4x-7)(x-2)

Answers

Answer:

D

Step-by-step explanation:

Each factor on the right has to be multiplied by the equation on the left and then you add them.

The expression (3x² + 4x - 7) ( x- 2) can be rewritten as 3x³- 2x²- 15x + 14.

To rewrite the expression (3x² + 4x - 7) ( x- 2) using the distributive property, we need to distribute each term in the first polynomial to each term in the alternate polynomial.

(3x² + 4x - 7) ( x- 2)

= 3x²( x- 2) + 4x( x- 2)- 7( x- 2)

Now, distribute each term

= 3x³- 6x²+ 4x²- 8x- 7x + 14

Combine like terms

= 3x³- 2x²- 15x + 14

Thus, using the distributive property, the expression (3x² + 4x - 7) ( x- 2) can be rewritten as 3x³- 2x²- 15x + 14.

Learn more about Distributive Property here:

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Evaluate the expression when b=-2 and y=4.
-y+5b

Answers

you’d input the values into your equation

giving you the equation

-4+5(-2)

when you solve that you’d get

-14

Answer:

-14

Step-by-step explanation:

-y+5b

insert the values

-4+5(-2)

multiply

-4-10

subtract

-14

HAAAAAAALLLLLLLP

7th Grade IXL

Answers

Answer: This is middle school math?! Man I feel bad for you...

First one: ZZXY

Middle one: ZYXZ

Last one: ZXZY

Answer:

mark the other guy brainliest I answer so he can get it

Step-by-step explanation:

(12.3x10^5)/(3x10^2) PLEASE HELP ME

Answers

when i put it in my calculator it said 4,100

a sequence is given by the rule 4n -5.
what is the tenth term in the sequence?

Answers

Answer: 35

because the sequence is given by the rule 4n -5 => a(n) = 4n - 5

the tenth term in the sequence is a(10) = 4.10 - 5 = 35

Step-by-step explanation:

plz show how you got the answer​

Answers

D. Would be correct. Turn 2 1/4 to a mixed fraction. 2 1/4 would be 9/4. 1 1/4 into mixed fraction form would be 5/4. 9/4+ 5/4 = 14/4. 14/4 equals 3 2/4 which equals 3 1/2.

Hi there! I'm here to help. :)

Okay, so here you are solving for x. To solve for x, you must get it alone on one side of the equal sign. As we can see, it is not alone, and it is with 1 1/4 on the left side of the equal sign.

To get it alone, we need to subtract 1 1/4 from both sides. However, to subtract fractions, we need to make sure they have the same denominator. Looking at the fractions, we can see that they have two different denominators.

Begin by converting both fractions into improper fractions:

1 1/4 = 5/4

3 1/2 = 7/2

So now our equation looks like this: x + 5/4 = 7/2

Now we need to make it to where we our fractions have the same denominator.

Our current denominators are 4 and 2. The LCM (lowest common multiple) of 4 and 2 is 4, so you leave 5/4 as it is (because it's denominator is already 4) and you change 7/2.

Multiply 2 * 2 to make the denominator 4 in 7/2, but whatever you do to the denominator, you MUST do to the numerator. So multiply 7 * 2 = 14. Now your fraction looks like this: 14/4

Now we have:

1 1/4 = 5/4

3 1/2 = 14/4

Our denominators are the same now! Now here comes the easy part: We subtract! Do 3 1/2 - 1 1/4, or, 14/4 - 5/4. To subtract fractions, simply subtract the numerators and leave the denominators as is. 14 - 5 = 9, so 14/4 - 5/4 = 9/4.

Now our equation looks like this:

x = 9/4

LASTLY: All of your options are mixed numbers, so convert this improper fraction back into a mixed number. 9/4 = 2 1/4.

So, x = 2 1/4. :)

PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG

Answers

Answer:

40 degrees

Step-by-step explanation:

6.Kelly has been training to run across the country. On the first day, she ran 4 miles, the
second day, she ran 12 miles, and the third day, she ran 36 miles.
a) Write an equation that models Kelly's situation?

Answers

Answer:

D= d₁ + d₂ + d₃   : where D is total distance covered in the training.

Step-by-step explanation:

Let this equation model the total distance covered in the training.

Let the total distance covered in the training to be: -------D

Let the distance covered in 1st day be ----------d₁ = 4 miles

Let the distance covered in 2nd day be ----------d₂= 12 miles

Let the distance covered in 3rd day be ----------d₃ = 36 miles

D= d₁ + d₂ + d₃

D= 4 + 12 + 36

D= 52 miles

draw a line representing the rise and a line representing the run of the line. State the slope of the line in simplest form

Answers

Answer:

m = -1

Step-by-step explanation:

The slope of a line is calculated as ;

Given : (-2,3) and (2,-1)

m = Δy/Δx

m= -1-3 /2--2

m = -4 /4 = -1

The slope is -1

What do I do? I’m totally lost.

Answers

Answer:

I'm guessing keep the first image the same, have the purple bar in the second or third slot in the second image.

Step-by-step explanation:

PLEASE HELP! (Image of question is attached)

Answers

Answer:

a the answer is a

Step-by-step explanation:

what is meant by even symmetry? and odd symmetry? for polynomial functions

Answers

Answer:

1. the quality of being made up of exactly similar parts facing each other or around an axis.

2. For something to be an odd function, it has to have symmetry to the origin, not the x-axis. This means that if it has a point like (a, b), it also has the point (-a, -b). For example, y = x is an odd function because it does this.

Sharon needs 64 credits to graduate from her community college. So far she has earnedc56 credits. What percent of the required credits does she​ have?

Answers

Answer:

87.5

Step-by-step explanation:

56/64*100

Please help!!!!! I've been stuck for a while

Answers

Answer:y=2x

(Slope=2)

Step-by-step explanation:

The ratio is 1 to 2y is to times x y=2x

Valerie is 30 inches tall and casts a shadow that is 12
inches long. At the same time, ber teddy bear casts a
shadow that is eight inches long. How tall is the teddy
bear?

Answers

Answer:

20

Step-by-step explanation:

30:12 is the original ratio. So if you divide both sides by the numbers' GCF of 6 you'll get a simplified ratio of 5:2. Then multiply both sides by 4 to keep the ratio constant, then you'd get 20:8. So when the teddy bear casts a shadow of 8 inches long the actual teddy bear is 20 inches tall. Hope this helps!

The value of x is ___
°, and the value of y is

Answers

Answer:

y=50

x=60

Step-by-step explanation:

x= 180-(50+70)

x=60

y=50

Y= 50
X= 60 I’m pretty sure that’s the answer
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