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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".

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

Answers:

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

Explanation:

Answer:

c

Step-by-step explanation:

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

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.

Answer:

triangle - 7

Step-by-step explanation:

Because Evan has 7 less pencils than isiah, the number of pencils evan has can be determined by subtracting 7 from the number of pencils isaish has

triangle - 7

If evan had 7 more pencils : triangle +  7

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:

34 units

Step-by-step explanation:

Perimeter of ∆ABC is,

2(6+4+7)

= 2×(17)

= 34

Answered by GAUTHMATH

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.

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

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:

Step-by-step explanation:

100 sq cm

Answer:

-2

Step-by-step explanation:

x = the number

difference refers to subtraction

(8*x) - 3 = -19

8x - 3 = -19

      + 3   + 3

8x = -16

/ 8    /8

x = -2

Hope that helps!

Answer:

- 2

Step-by-step explanation:

let the number be n , then

8n - 3 = - 19 ( add 3 to both sides )

8n = - 16 ( divide both sides by 8 )

n = - 2

The number is - 2

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.

Answer:

58.33%

Step-by-step explanation:

A's Contribution = 2700

B's Contribution= 1800

Ratio = 7:5

Profit = 900

Total Ratio = 7+5 = 12

First , Calculate both share of the profit.

A's Share= 7/12 ×900

525

B's share= 5/12 ×900

375

Now , express A's Share as a percentage

A's Share= 525/900 ×100

58.33%

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:

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:

a,

Step-by-step explanation:

Step-by-step explanation:

When X is - 5 then y is 3

When X is-1 then y is - 2

When X is 3 then y is -4

From the graph we get, when x is - 5 then y is 3, when x is -1 then y is - 2, and when x is 3 then y is -4.

A point is a dot in space used to indicate an exact location in space.

Consider the first line, which has constant y values. its x value ranges from -1 to negative infinity.

The second line is starts from (-1,-2) point and tend towards positive infinity but its y values and x values are varying.

Hence, when x = -5 y is 3 and at x = -1 the y values is -2. Similarly, when x = 3 then y = -4.

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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:

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:

i guess you'll get that answer

Step-by-step explanation:

if xy is 3cm then y is 3 divide by 2

where y=

then if xyz=30 to get z you divide 30 by 3

where z=

then x will surely be the same value as y

so u solve for yz=x

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