Find the slope of the line
(2,3) (13,8)

The midpoint of a line divides the line into equal segments.

The option that proves PQ = LO is (a)

The given parameters are:

[tex]\mathbf{L = (0,0)}[/tex]

[tex]\mathbf{M = (3,0)}[/tex]

[tex]\mathbf{N = (3,7)}[/tex]

[tex]\mathbf{O = (0,7)}[/tex]

P is the midpoint of LM.

So, we have:

[tex]\mathbf{P = \frac{LM}{2}}[/tex]

[tex]\mathbf{P = (\frac{(0 +3}{2},\frac{0+0}{2})}[/tex]

[tex]\mathbf{P = (\frac{3}{2},0)}[/tex]

Q is the midpoint of NO.

So, we have:

[tex]\mathbf{Q = \frac{NO}{2}}[/tex]

[tex]\mathbf{Q = (\frac{(3 +0}{2},\frac{7+7}{2})}[/tex]

[tex]\mathbf{Q = (\frac{3}{2},7)}[/tex]

Distance PQ is calculated as follows:

[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

This gives:

[tex]\mathbf{PQ = \sqrt{(3/2 - 3/2)^2 + (0 - 7)^2}}[/tex]

[tex]\mathbf{PQ = \sqrt{ 7^2}}[/tex]

[tex]\mathbf{PQ = 7}[/tex]

Distance LO is calculated as follows:

[tex]\mathbf{LO = \sqrt{(0 - 0)^2 + (0 - 7)^2}}[/tex]

[tex]\mathbf{LO = \sqrt{ 7^2}}[/tex]

[tex]\mathbf{LO=7}[/tex]

So, we have:

[tex]\mathbf{PQ = 7}[/tex]

[tex]\mathbf{LO=7}[/tex]

Thus:

[tex]\mathbf{PQ = LO}[/tex]

Hence, the correct option is (a)

Read more about distance and midpoints at:

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Answer:

m /CBA = 82 degree

Step-by-step explanation:

if you want explanation tell me

Answer:

b=-5

Step-by-step explanation:

<3

Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

Answer:

the answer is 36....

because...

12*3=36

and also 4*9 =36

Any multiple of 12 is also a multiple of 4 true because Multiples of 4 can be found by multiplying 4 by another number. For example, 4×3=12.

A multiple is a result of multiplying a number by a whole number (it should not be a fraction). Multiples of an integer are obtained by subtracting the product of the decreasing numbers and the product of the whole numbers. For example, to find multiples of 6, we multiply 6 by 1, 6 by 2, 6 by 3, etc. The coefficients are the result of this multiplication. A number can have an infinite number of repetitions because multiples of a number are obtained by multiplying it by natural numbers. So we can write an infinite number of times for a given number. The table below shows the first 10 multiples of some numbers.

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Answer:

y = 9/17 x - 28/17

Step-by-step explanation:

Answer:

The Greatest Common Factor of  

15

and

25

is  

5

.

The factors of  

15

are  

3

and

5

(the number itself and 1 do not count).

The factor(s) of  

25

is  

5

. After all, it is a square number.

The only factor that is in common is  

5

(again remember that 1 does not count here -although  

1

is common,  

5

is higher)

Hope I helped!

Step-by-step explanation:

Answer:

substitute the values given,

= (2a + b) - (a - 2b)

= (2(x + 2y) + x - 2y) - (x + 2y - 2(x - 2y))

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

= (3x+2y) - (-x+6y)

= 3x + 2y + x - 6y

= 4x - 4y

then,

(2a+b) - (a-2b) = 4x - 4y

Answer:

2 in A 0 in B

Step-by-step explanation:

Vertical and horizontal numbers add up to 8, going by this logic, it's 2 and 0.

Answer:

A) 5/10

B) 3/4

C) 1/4

D) 4/4

Step-by-step explanation:

Hope this helps

Answer:

m1=112

m3=68

m4=22

m5=90

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

SA of a cylinder formula:

A=2πrh+2πr^2

A=2π(3)(15)+2π(3)^2

A=339.29in^2

Hope that helps

Answer:

Step-by-step explanation:

Hi there!

From the given figure;

Radius(r) = 3 inch

Height (h) = 15 inch

Now;

Total surface area (TSA) = 2πr(r+h)

                              TSA = 2*([tex]\frac{22}{7}[/tex])*3(3+15)

                               TSA = [tex]\frac{132}{7}[/tex]*18

                               TSA = 339.42in².

Therefore,  the answer is option c (339.29in²).

Hope it helps!

The correct answer would be 3. f(x) = -1, so you got to find the -1 in the y row of the table and just say that x =3 if y =-1.

Answer:

x = 3

Step-by-step explanation:

The question is asking for which value of x gives -1

You don't have an equation, however you do have a table of values

Y is similar to f(x) in the sense that it is the output, while x is the input.

All you must do is see where y = -1, this is the same for when f(x) = -1

So, there is only one moment where y = -1, which is when x = 3

With this, we can conclude that for the value of x = 3, f(x) = -1

Answer:

x = -1

x = -5

Step-by-step explanation:

y= (x+3)^2 - 4

(x + 3)^2 = x^2+6x+9

y = x^2 + 6x + 9 - 4

y = x^2 + 6x + 5

x^2 + 6x = -5

x^2 + 6x + 9 = -5+9 (6/2=3, 3^2 = 9) (add 9 to both sides)

(x + 3)^2 = 4

x + 3 = sqrt 4

x + 3 = +- 2

x + 3= 2. x = 2-3. x = -1

x + 3 = -2. x = -3-2. x = -5

Answer:

yes

Step-by-step explanation:

could I get brainliest please

Answer:

Help with what?

Answer and explanation:

1. 2 × 3/10 = 6/10 = 3/5

2. 8 × 4/8 = 32/8 = 4

3. 9 × 3/9 = 27/9 = 3

4. 12 × 2/11 = 24/11 = 2 2/11

5. 3 × 5/7 = 15/7 = 2 1/7

6. 2 × 3/5 = 6/5 = 1 1/5

7. 11 × 4/8 = 44/8 = 5 4/8 = 5 1/2

8. 10 × 1/4 = 10/4 = 2 2/4 = 2 1/2

9. 5 × 1/4 = 5/4 = 1 1/4

10. 11 × 2/7 = 22/7 = 3 1/7

Hope this helps!

Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

Step-by-step explanation:

100% = $1100

1% = 100%/100 = 1100/100 = 11

how many % are $600 ?

that is how often does 1% fit into $600 ?

600 / 11 = 54.545454... %

rounded that means 55%.

so, the making down percentage is then the difference

100% - 55% = 45%

Answer:

(5,0),(6,0)

Step-by-step explanation:

The x-intercept occurs when h(x) = 0

∴ let                  0 = (x – 5)(x – 6)                [using the knowledge that for the  

                                                                      produc to be 0, one of terms  

                                                                      must be zero]

⇒                 x - 5 = 0       ;      x - 6 = 0       [solve for x in each case]

⇒                      x = 5        ;           x = 6

Check:

If we graph the line we can see whether the intercepts are truly (5, 0) and (6,0). As seen below in the Desmos graph, it is.

Answer:

1,000 + 200 + 50 + 6

Answer:

16 percent

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.40÷2.55=94%

Answer:

Hint: Use the Angle Addition Theorem and the fact that a line is made up of two opposite rays. Given: m∠1 = 62° and lines t and l intersect

Step-by-step explanation:

Step-by-step explanation:

Given: m∠1 = 62° and lines t and l intersect

Prove: m∠4 = 62°

Proof:

Statement                                        Reason

m∠1 = 62°                                         Given

m∠1 , m∠2 are supplementary       t is a straight line hence linear pair.

m∠4 , m∠2 are supplementary       r is a straight line hence linear pair.

Angle 2=180-62 = 118                      Definition of supplementary angles

Angle 4 = 180-118 =62                     -do-

Angle 1 = Angle 4                            Equality property

Hence proved

Answer:

I didn't know if you wanted to get the answer

Answer:

approx 16 hours

Step-by-step explanation:

rounded out this would be the answer, as 320 is not evenly divisible by 60

Answer:

8ha

Step-by-step explanation:

600*200 = 120000

120000* 1/3 = 40000

120000 - 40000 = 80000

10000m = 1ha

80000m = 8ha

The area of the remaining land is 8 hectares. The correct answer would be an option (B).

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

The total area of the rectangular farm is 600m × 200m = 120,000 square meters.

If 1/3 of it is used for planting rice, then the area used for planting rice is 1/3 × 120,000 = 40,000 square meters.

Therefore, the area of the remaining land is 120,000 - 40,000 = 80,000 square meters.

To convert this to hectares, divide by 10,000, so the area of the remaining land is 80,000 / 10,000 = 8 hectares. So the answer is 8 hectares.

Hence, the correct answer would be an option (B).

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860.55 mm

Explanation:

The surface area of an hexagonal prism, also known as an octahedron, is given by the following formula (since we have the apothem):

S= 6*b*(a+h)

where b = is the side of the base, a is the apothem length, and h = the height

S = 6 * 8 * (4√3 + 11) = 48 * 17.92812 = 860.55 sq mm

Could have also have used another formula without the apothem:

S =3 * √3 * b² + 6 * b * h

S = 3 * √3 * 8² + 6 * 8 * 11 = 3√3 * 64 + 528 = 332.55  + 528 = 860.55 sq mm

Answer:

x = 131

Step-by-step explanation:

the angle adjacent to x on line l corresponds to 49° and are congruent, then

49 and x are adjacent and sum to 180° , that is

x + 49 = 180 ( subtract 49 from both sides )

x = 131