factorize the following
2mh+3mk-2nh-3nk​

Answer:

Answer is LOG 10 and 1

Step-by-step explanation:

The equivalent expressions to [tex]lne[/tex] are, B. 1 and C.log 10

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

Given, A logarithmic equation [tex]ln_ee[/tex], This in exponential form is, [tex]e^? = e[/tex].

We know, [tex]e^? = e[/tex], e to the what power should be e it should be 1.

Therefore, [tex]ln_ee = 1[/tex].

Similarly, [tex]log_{10}10[/tex] is 10 to the what power is 10 we know 10 to the power 1 is 10.

Therefore, [tex]log10[/tex] is 1.

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Answer: The final answer is 10. 10 is the distance between the 2 points given.

Step-by-step explanation:

Answer:

hold

Step-by-step explanation:

Answer:

P=length of each of the 4 pieces

(8' - 0.25')/4=P

Step-by-step explanation:

P=length of each of the 4 pieces

(8' - 0.25')/4=P

6/4 is the length of the each ribbon piece.

Two or more expressions with an Equal sign is called as Equation.

Given that Elena has a 8 foot piece of ribbon.

Elena cuts off a piece that is 1/4 of a foot long.

The ribbon cutt off by Elena is 1/4×8=2

The remaining ribbon is given by 8-2=6

cuts the remaining piece into four pieces of equal lengths.

6/4.

Hence, 6/4 is the length of the each ribbon piece.

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Answer:

14 units

Step-by-step explanation:

In the diagram, the length of segment QV is 15 units. What is the length of segment TQ?

Solution:

A triangle is a shape with three sides and three angles. Types of triangles are isosceles triangle, equilateral triangle, scalene triangle, right angled triangle.

Two triangles are said to be congruent if all the corresponding three sides and three angles of one triangle is equal to the corresponding three sides and three angles of the other triangle.

Triangle SRV and triangle RQV are congruent triangles by side angle side congruency (i.e. SR = RQ, RV ≅ RV and ∠SRV = ∠QRV = 90°). Therefore:

SV = QV

4x - 1 = 15

4x = 16

x = 4 units

Triangle SRT and triangle RQT are congruent triangles by side angle side congruency (i.e. SR = RQ, TR ≅ TR and ∠SRT = ∠QRT = 90°). Therefore:

TQ = TS

3x + 2 = TS

TS = 3(4) + 2 = 12 + 2

TS = 14 units

Answer:

[tex]x^2[/tex] = [tex]8^2[/tex] = 64

[tex]15^2[/tex] = 225

[tex]17^2[/tex] = 289

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side. The Pythagorean theorem states;

[tex]a^{2} + b^{2} = c^{2}[/tex]

Where "a" and "b" are the legs, and "c" is the hypotenuse.

It is given that;

b = 15.

c = 17

a = x

[tex]x^2[/tex] + [tex]15^2[/tex] = [tex]17^2[/tex]

[tex]x^2[/tex] + 225 = 289

[tex]x^2[/tex] = 64

x = 8

To find the area of a square, one has to raise one of the sides to the power of two.

[tex]x^2[/tex] = [tex]8^2[/tex] = 64

[tex]15^2[/tex] = 225

[tex]17^2[/tex] = 289

Answer:

y=4

Step-by-step explanation:

first you have y=mx+b

then b=4

and m=0

so it is

y=0x+4

or y=4

[tex]a = - 14 \\ c = - 12 \\ b = - 9[/tex]

The solution is, the values of a = -14, b= -9, c = -12.

Rows and columns of numbers are arranged in a matrix. A rectangular matrix is a grouping of numbers into rows and columns. The matrix A, for instance, has two rows and three columns.

here, we have,

A matrix is a rectangular arrangement of a collection of numbers into a fixed number of rows and columns.

We have a matrix of order 4 x 4 where the number of rows are 4 and number of column are 4.

and, the resultant matrix is also of order 4 x 4 where the number of rows are 4 and number of column are 4.

we get,

the addition of the two given matrices is,

[tex]\left[\begin{array}{ccc}-4 &1&1\\-14&7&12\\18&-9&3\\-8&-12&17\end{array}\right][/tex]

Then, the values of a = -14, b= -9, c = -12.

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Answer: 5x^2 + 8x - 1 = 0

Step-by-step explanation:

-5x^2 - 6x + 1 - 2x = 0

5x^2 + 6x + 2x - 1 = 0

5x^2 + 8x - 1 = 0

a > 0

Answer:

Step-by-step explanation:

Given the functions

f(x) = 3x² + x and g(x) = 2x

We are to find g(f(x))(-4)

First get g(f(x))

g(f(x)) = g(3x²+x)

Substitute x in g(x) with 3x²+x to have:

g(3x²+x) = 2((3x²+x))

g(3x²+x) = 6x² + 2x

Substitute  = -4 into the result

g(f(x) (-4)) = 6(-4)² + 2(-4)

g(f(x) (-4)) = 6(16)-8

g(f(x) (-4)) = 96 - 8

g(f(x) (-4)) = 88

Hence the required answer is 88

Answer:

B -15

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

she has -15

Answer:

5:20

12:48

11:44

Step-by-step explanation:

I just multiplied them by 4

Answer:

2 now mqrk MEEEE

Step-by-step explanation:

Answer:

ABC is isosceles

Step-by-step explanation:

Answer:

The second one. it's the only one that has a pattern for both sides. for every x value that goes up, the y-values goes down one. that function has a slope of -1

Step-by-step explanation:

I hope this helps :)

Answer:

The value of exponential function: y = 0.2(0.5)ˣ

Step-by-step explanation:

We know that the exponential function is of the form

y = abˣ

From the table, it is clear that

when x = 0, y = 0.2

so substitute x = 0, y = 0.2

[tex]0.2\:=\:ab^{0}[/tex]

0.2 = a × 1        ∵ b⁰ = 1

0.2 = a

so, we have a = 0.2

now substitute x = 1 and y = 0.1

y = abˣ

0.1 = 0.2×b¹

0.1 = 0.2×b

b = 0.1/0.2

b = 0.5

now substituting a = 0.2 and b = 0.5

y = abˣ

y = 0.2(0.5)ˣ

Therefore, the value of exponential function: y = 0.2(0.5)ˣ

Answer:

Rule 3

Step-by-step explanation:

The values correspond to the equation y=3^x

Given:

A certain function h(x) contains the point (8,-2).

To find:

The value of [tex]h^{-1}(-2)[/tex].

Solution:

If a function is defined as

[tex]f(x)=\{(a,b):a\in R,b\in R\}[/tex]

Then, its inverse is defined as

[tex]f^{-1}(x)=\{(b,a):a\in R,b\in R\}[/tex]

It is given that, a certain function h(x) contains the point (8,-2). It means, its inverse [tex]h^{-1}(x)[/tex] contains the point (-2,8). So, the value of inverse function is 8 at x=-2, i.e.,

[tex]h^{-1}(-2)=8[/tex]

Therefore, the value of [tex]h^{-1}(-2)[/tex] is 8.

the answer should be 8..

Answer:

a. or [tex]\frac{3}{-2}[/tex]

Step-by-step explanation:

Slope is equal to y1-y2 over x1-x2.

So the equation would be:

[tex]\frac{2-(-1)}{-3-(-1)}[/tex]

2-(-1)=2+1=3

-3-(-1)=-3+1=-2

So the answer is:

[tex]\frac{3}{-2}[/tex]

Answer:

do you have a picture of it for reference?

Answer:

339.3 cm

Step-by-step explanation:

12 • 12 = 144

Find 144π

Find 3/4 of it

Answer:

339.3 to nearest tenth of cm^2.

Step-by-step explanation:

This is 3/4 of a circle so the area is:

3/4 * pi r^2

= 3/4 * 12^2 pi

=  108 pi

= 339.292

Options :

Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.

Answer:

Determine whether the equation has the form x = a

Step-by-step explanation:

Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3

-3(x + 1) + 3x = - 3(x - 1) + 3

If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'

Expanding :

-3x - 3 + 3x = - 3x + 3 + 3

-3x + 3x -3 = - 3x + 6

-3 = - 3x + 6

-3 - 6 = - 3x

-9 = - 3x

x = 9/3

x = 3

Answer:

Using the slope-intercept form, the slope is −35 . The equation of a perpendicular line to y=−3x5+3 y = - 3 x 5 + 3 must have a slope that is the negative reciprocal of the original slope.

Answer:

[tex]p + ( - q)[/tex]

Step-by-step explanation:

These properties might benefit you.

[tex]x - y = x + ( - y) \\ x + y = x - ( - y) [/tex]

Negative Multiply Negative must equal Positive.

Positive Multiply Negative equal Negative.

Therefore p-q is equivalent to

[tex]p - q = p + ( - q)[/tex]