MATHEMATICS MIDDLE SCHOOL

Help with this math problem

Answers

Answer 1

Answer:

see explanations

Step-by-step explanation:

Formula for mid-point is;

$midpoint=((x_1+x_2)/2,(y_1+y_2)/2)$

1.Given S(-3,4), U(-3,0) and T(5,0) then finding the mid-points

SU = [(-3+-3)/2,(4+0)/2] =(-3,2)

TU= [(-3+5)/2,(0+0)/2] =(1,0)

ST=[(-3+5)/2,(4+0)/2]=(1,2)

2.Mid-point formula for this case given W(-5,1) and Z(3,3) will be;

Midpoint = [ (x₁+x₂)/2,(y₁+y₂)/2]

Midpoint= [(-5+3)/2 ,(1+3)/2]

Midpoint=(1,2)

3. Finding the length of segments and the midpoint of the segments

Formula for length of segment, d, is given as;

For C(-1,5) and D(5,1)

$d=√((y_2-y_1)^2+(x_2-x_1)^2) \n\nd=√((1-5)^2+(5--1)^2) </p><p>=√(-4^2+6^2) =√(16+36) =√(52) =7.21$

Midpoint of the segment CD will be

[(-1+5)/2,(5+1)/2] = (2,3)

For E (-3,-6) and F(5,0)

$d=√((0--6)^2+(5--3)^2) =√(6^2+8^2) =√(36+64) =√(100) =10$

The midpoint for segment EF will be;

[(-3+5)/2 ,(-6+0)/2] =(1,-3)

For L(-4,4) and M(-1,-5)

$d=√((-5--4)^2+(-1-4)^2) \nd=√(-1^2+-5^2) \n\nd=√(1+25)=√(26) =5.1$

Learn More

Midpoint of a segment :brainly.com/question/10424143

Distance of a segment :brainly.com/question/11591660

Keywords :midpoint, midpoint formula, segment length, line segment

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Horatio hornswoggle was born: 57 B.C Horatio hornswoggle died: 16 A.D
How old was Horatio when he died?

Answers

Horatio Hornswoggle was 73 years old when he died.

If calculated accurately the answer is 57+16 makes it 73

Sometimes you might see years written in the form of 2000 AD or 550 BC. AD is after the birth of Jesus Christ and BC is before Jesus Christ was born.

Some historians put the actual birth of Jesus 4 years earlier (4 BC), but it WAS thought to be exactly at 1 AD.

Hello

The answer is 73 years old because since B.C and A.D are two different time periods, 57+16=73, so Horatio died at 73 years old.

I just want to see if my answer is correct, I haven't done volume in a long time!

Answers

You did it right because 12 x 2 = 24 x 8 = 192

yes your answer is correct

Need help!! i will give you brainliest. no plagiarism please.. Nick has designed a diamond-shaped kite as shown below. The measures of some sides of the kite are marked in the figure. Find the value of x. (JUSTIFY)

show your work.

Answers

Answer:

The value of x is approximately 3.5 inches.

Step-by-step explanation:

Given:

Side OC = 5 in

Side DC = 7 in

side OP = x

We need to find the value of x.

Solution:

Now In Δ COD;

m∠COD = 90°⇒(Given in the figure)

So by using Pythagoras theorem we get;

$OD^2+OC^2 = DC^2\n\nOD^2 = DC^2-OC^2$

Substituting the values we get;

$OD^2= 7^2-5^2\n\nOD^2=49-25\n\nOD^2= 24$

Now Squaring on both sides we get;

$√(OD^2) =√(24) \n\nOD\approx 4.90\ in.$

Now $Sin\theta= \frac{\textrm{Opposite side}}{\textrm{Hypotenuse}}$

Sin D = $(Side\ OC)/(Side\ DC)$

So, Sin D = $(5)/(7)$ ⇒ equation 1

Now In Δ DPO;

m∠DPO = 90°⇒(Given in the figure)

Also Now $Sin\theta= \frac{\textrm{Opposite side}}{\textrm{Hypotenuse}}$

Sin D = $(Side\ DP)/(Side\ OD)$

So, Sin D = $(x)/(4.9)$ ⇒ equation 2

Hence we can Left hand side of equation 1 and equation 2 are same;

So we can say that Right hand side will be equal too.

Hence equation can be framed as;

$(x)/(4.9) = (5)/(7)\n\nx = (5)/(7) * 4.9\n\nx\approx 3.5\ in$

Hence, The value of x is approximately 3.5 inches.

jack and kevin play in a basketball game if thr ratio of point scsred by jack to points scored by kevin is 4 to 3 which of the following could npt be the total number of points scored by the two boys

Answers

Answer:

3, kevin scored 2 two pointers, jack scored a three pointer

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

Every possible combination of scores is a multiple of 7, since the two terms of the ratio have a sum of 7.

16 is not a multiple of 7, so it cannot be a combination of the boys' scores.

Hope this helps.

How to set up 701 km -523 km 445 m

Answers

answer: 177.555km
convert 445m into 0.445km
and so it's 701-523.445=177.555km

Convert - 445m into 0.445km
So it's 701-523.445 = 177.555km

Hope I Helped!!! :-)

Have A Good Day!!!

What is the distance from (23. 5) 0 (23. -12)?

Answers

The distance between (23,5) and (23,-12) is 17 units.

Because the x values are equal then this makes this problem much easier. Since y value 5 and y value -12 are in different quadrants then you would add them together (because one value is positive and one is negative). You need to add 5 and the absolute value of -12 which is 12. Adding 5 and 12 and you would get 17.

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