Determine the equation of the line that passes through A(2,-5) and B(6,-3).

Answer:

TN = 13 units

MP = 22 units

TQ = 6.93 units

PT = 13 units

Step-by-step explanation:

If T is a circumcenter of the given triangle MNP,

Measure of TN = Measure of TM = Measure of TN

By applying Pythagoras theorem in ΔMRT,

MT² = TR² + MR²

MT² = (12)² + 5²

MT = [tex]\sqrt{169}[/tex]

MT = 13

Measure of TN = 13 units

Since, TQ, TS and RT are the perpendicular bisectors of the sides MP, NP and MN respectively,

Measure of MP = 2(PQ)

                         = 2(11)

                         = 22 units

By applying Pythagoras theorem in ΔTQM,

MT² = TQ² + MQ²

(13)² = TQ² + (11)²

TQ = [tex]\sqrt{169-121}[/tex]

TQ = [tex]\sqrt{48}[/tex]

TQ = 6.93

Measure of PT = Measure of TN = 13 units

The expression to represent the volume of the cube in exponential form is 15^3

The length is given as:

Length = 15 feet

The volume of the cube is calculated as:

Volume = Length^3

So, we have:

Volume = 15^3

Hence, the expression to represent the volume of the cube in exponential form is 15^3

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Answer:

[tex]8\sqrt{5}+3\sqrt{30}[/tex]

Step-by-step explanation:

When we have any quantity being multiplied to an expression, we can use the distributive property.  The distributive property says that [tex]a(b+c)=ab+ac[/tex].  In other words, we can distribute the outer number inside the parentheses.  

Using the distributive property, we can then simplify the given equation as follows:

[tex]\sqrt{5}(8+3\sqrt{6})=8\sqrt{5}+3\sqrt{6}\sqrt{5}[/tex]

Finally, you should recall that when multiplying square roots, you can simply bring all the numbers inside of one root.  For instance, [tex]\sqrt{2}*\sqrt{3}=\sqrt{2*3}=\sqrt{6}[/tex] (note, this does not work for addition or subtraction, only multiplication or division).  Therefore, we can simplify [tex]\sqrt{6}\sqrt{5}=\sqrt{6*5}=\sqrt{30}[/tex].  

Finally, we can combine our answer into [tex]\sqrt{5}(8+3\sqrt{6})=8\sqrt{5}+3\sqrt{6}\sqrt{5}=8\sqrt{5}+3\sqrt{30}[/tex]

Answer: The value of x is 5.970.

Step-by-step explanation:

Given: The square has sides length of X cm.

Let r be the radius of the circle.

The square fits exactly inside a circle with each of the vertices being on the circumference of the circle.

Then diagonal of square = diameter of circle

i.e. [tex]\sqrt{2}x= 2r[/tex]    [Diagonal of square = [tex]\sqrt{2}[/tex](side)]

i.e. [tex]r=\dfrac{x}{\sqrt{2}}[/tex]

area of circle =[tex]\pi r^2[/tex]

i.e. [tex]56=\frac{22}{7}(\frac{x}{\sqrt{2}})^2[/tex]

[tex]56=\frac{22}{7}\times\frac{x^2}{2}\\\\\Rightarrow\ x^2= \dfrac{7}{11}\times56\\\\\Rightarrow\ x^2=35.636\\\\\Rightarrow\ x=\sqrt{35.636}\approx5.970[/tex]

Hence, the value of x is 5.970.

For the price per acre do 237,000 / 15 = $15800 per acre

Answer:

A

Step-by-step explanation:

Total eggs in lay in one week = 48 * 7 = 336

total eggs sold = 336 - 12 = 324

Total dozen = 324 : 12 = 27

Total profit = 27 * 4 = $108

Profit without chicken feed = 108 - 9.75 = $98.25

Answer:

c

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

336cm2

Step-by-step explanation:

The diagram is divided ninto 5 parts that is rectangles ABCD, CHGD, GFEH and  triangles CIH and DGJ.

Area of rectangle ABCD= lxb

=12x6=72cm2

Area rectangle CDHG=lxb

12x8=96cm2

Area rectangle HGFE= lxb

=10x12=120cm2

Area of triangles CIH and DIG= 2x1/2xbxh

=6x8=48cm2

Surface area of the triangular prism=Area of rectangle ABCD+Area rectangle CDHG+Area rectangle HGFE+Area of triangles CIH and DIG

72+96+120+48=336cm2

Answer:

Step-by-step explanation:

2(9a - 6) = 2*9a - 2*6 = 18a - 12    

Yes, it is equivalent.

6*(3a-2) = 6*3a - 6*2 = 18a - 12

Yes, it is equivalent.

-3(6a+4)= -3*6a + 4*(-3) = -18a - 12

No, not equivalent

3(6a+4) = 3*6a + 3*4 = 18a + 12

No, not equivalent

-3(4-6a) = -3*4  - 6a*(-3 )  = -12 + 18a = 18a - 12

Yes, it is equivalent.

Answer:

Step-by-step explanation:

2(9a - 6) = 2 × 9a + 2 × (-6)

= 18a - 12

6(3a - 2) = 6 × 3a + 6 × (-2)

= 18a - 12

- 3( 4 - 6a ) = - 3 × 4 + (-3) × (- 6a)

= - 12 + 18a = 18a - 12

Step-by-step explanation:

Recall the identity

[tex]\tan \frac{A}{2}= \dfrac{1 - \cos A}{\sin A}[/tex]

We can see that

[tex]\dfrac{\sin 8A}{1 - \cos 8A} = \dfrac{1}{\tan 4A}= \cot 4A[/tex]

Answer:

34 units

Step-by-step explanation:

Perimeter of ∆ABC is,

2(6+4+7)

= 2×(17)

= 34

Answered by GAUTHMATH

Answer:

The answer is no.d b= 2a + 1

Explanation:

Each time b goes up by 4, 'a' goes up by 2. The rate of change or slope is 4/2 = 2. This lets us see that the answer must be choice D, as no other answer choice has 2 as a slope.

Answer:

x~11

Step-by-step explanation:

22:17=14:x

22/17=14/x

22x=17*14

22x=238

22x/22=238/22

x=238/22

x=10.818181818181818

x~11

Step-by-step explanation:

sorry can't help u because I can't see any picture

Answer:

The axis of symmetry is (0,0)

Step-by-step explanation:

This is the picture

Answer:

C.35⁰

Step-by-step explanation:

C= 180⁰-145⁰= 35⁰

Answers:

Letters 'a', b, and h are never used.

Letters c and f show up twice each; e shows up 3 times.

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

Explanations:

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

None of the angle pairs mentioned are consecutive interior angles. These types of angles are on the same side of the transversal, and inside the parallel lines. So we never use option 'a'. We cross off option h as well for pretty much identical reasoning. Options 'a' and h are the same thing, just slightly different wording.

We cross off option b as well because none of the angles add up to 90 degrees.

The value of x is 13 in the rhombus ABCD

A quadrilateral is a four-sided polygon, having four edges and four corners

In figure ABCD is a rhombus

Given as Angle ∠ A = (5x + 25)

Angle ∠ D = (7x - 1)

Since adjacent angles of a rhombus add up to 180°

(5x + 25) + (7x - 1) = 180 and both equal

So, 5x + 25 = 7x - 1

Rearrange the terms in the equation,

7x - 5x = 1 +25

2x = 26

x = 13

Hence, the value of x is 13 in given figure.

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Answer:

Following are the response to the given question:

Step-by-step explanation:

Move b a bit further if the angle between cd and ab changes when you move b if you want to make a perpendicular point to cd The angle BEC is 90 ° for making the AB line perpendicular to the line CD to transfer point B to the angle between the two lines.

Answer:

The answer would be B

Answer:

-2

Step-by-step explanation:

We know that the object is at 12 on a horizontal line.

The horizontal line of a graph is the x axis, so lets think of 12 as 12x

On a graph, left is negative, and right is postive.

In this case we need to move 14x to the right, or -14x.

We start at 12x, so its going to be:

12x-14x=-2x

So -2 is the postition of the object on the x axis.

This is answer B.

Hope this helps!

Answer:

k = ±4

Step-by-step explanation:

Equation of the circle is:

x² + y² = 5​

This means from the general form of equation of a circle;

Centre coordinates is (0, 0) and radius is; √5.

The line 2x - y + k = 0 touches the circle. Thus, perpendicular distance from centre of the circle to this line is equal to the circle radius;

Thus;

|((2 - 0) - (1 × 0) + k)|/(√(2² + 1²)) = √5

|(1 + k)|/√5 = √5

Multiply both sides by √5 to get;

|1 + k| = 5

|k| = 5 - 1

k = ±4

Answer:

Between 32 and 37

Step-by-step explanation:

Here, we simply want to get the data portion represented by the box alone

we can see that the box starts from 32

It ends at the number 37

Note;

between each individual number on the plot, we have 5 small lines indicating an extra point

Answer:

(4, 0)

Step-by-step explanation:

D is clearly (1, 2).

so, for D' we have (1+3, 2-2) = (4, 0).

that's it. there is nothing more to it.

If you meant to write [tex]\log_{b}(y) = x[/tex] then the statement is true.

As a more concrete example, something like [tex]\log_3(81) = 4[/tex] would be read out as "log base 3 of 81 is equal to 4".

Step-by-step explanation:

Assume length of side 2 = L

Area of parallelogram is Height x L

So, 72 = 8 x L

L = 9

Answer:

50 crates

Step-by-step explanation:

First we need to convert 2 tons into pounds; 2 short tons = 4000 pounds, so the greatest number of crates that can be loaded onto the elevator is 4000 Hope this helps >:D