reduce to lowest term. 2x^2- 18/x^2+4x-21​

Answer:

b=12

Step-by-step explanation:

Perimeter=2*(l+b)

64=2*(20+b)

b=12

Answer:

The width is 12 feet

Step-by-step explanation:

If the length is 20 feet, the other side must be 20 feet as well. The perimeter is the addition of all sides of a rectangle. Length: 20 on one side, 20 on other side. Subtract the length from total perimeter and you get 24 feet remaining. Divide 24 by 2. 12 feet for the width.

Answer:

sin²A-5 sinA+6

=sin²A-(3+2)sinA+6

=sin²A-3sinA-2sinA+6

=sinA(SinA-3)-2(sinA-3)

=(sinA-2) (sinA-3)

hope this help you

Answer:

sin²A-5 sinA+6

=sin²A-(3+2)sinA+6

=sin²A-3sinA-2sinA+6

=sinA(SinA-3)-2(sinA-3)

=(sinA-2) (sinA-3)

Answer:

126

Step-by-step explanation:

∠S : ∠T = 7:3

∠S = 7x  

∠T = 3x

∠S + ∠T = 180               {Supplementary angles}

7x + 3x = 180

10x = 180

Divide both sides by 10

x = 180/10

x = 18

∠S = 7x = 7*18 = 126°

[tex]\\ \sf\longmapsto 2(4x-1)+3(3-2x)=0[/tex]

[tex]\\ \sf\longmapsto 8x-2+9-6x=0[/tex]

[tex]\\ \sf\longmapsto 8x-6x-2+9=0[/tex]

[tex]\\ \sf\longmapsto 2x+7=0[/tex]

[tex]\\ \sf\longmapsto 2x=-7[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7}{2}[/tex]

Answer:

Jordans' age = 31 ; Anna's age = 19

Step-by-step explanation:

Given the 2 equations relating their ages

J + A = 50 → (1)

J = 12 + A → (2)

Substitute J = 12 + A into (1)

12 + A + A = 50

12 + 2A = 50 ( subtract 12 from both sides )

2A = 38 ( divide both sides by 2 )

A = 19

Substitute A = 19 into (2)

J = 12 + 19 = 31

Then Jordans' age = 31 ; Anna's age = 19

Answer:

Step-by-step explanation:

J = 12 + A equation 1

J + A = 50 equation 2

Solving equation 2

J + A = 50

A = 50 - J equation 3

Putting value of A in equation 1

J = 12 + A

J = 12 + 50 - J

Bringing like terms on one side

J + J = 12 + 50

2J = 62

J = 62/2 = 31

Putting value of J in equation 3

A = 50 - J

A = 50 - 31 = 19

Checking answer by putting values in equation 2

J + A = 50

31 + 19 = 50

50 = 50

So the age of Jordan is 31 and Anna is 19

Answer:

an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable is called polynomial. A polynomial with real coefficients is a product of irreducible polynomials of first and second degrees.

Answer:

Hello,

Step-by-step explanation:

Best fit: quadratic y=5.3x²-9.3+6.1

with an total error  of 0.4

here is your answer hope you will understand it

Answer x = 25°

In triangle ABC

Angle BAC = BCA

= 50

Because its isoceles triangle and base angles are equal.

x + x + 80 = 180

2x = 100

x = 50

Angle ACD is exterior angle so 80 + 50

= 130

Triangle ACD is also Isoceles Angle x = Angle CDA

130 + x + x = 180

2x = 50

x = 25

Answer:

expression is 20. +20...

Treat the matrices on the right side of each equation like you would a constant.

Let 2X + Y = A and 3X - 4Y = B.

Then you can eliminate Y by taking the sum

4A + B = 4 (2X + Y) + (3X - 4Y) = 11X

==>   X = (4A + B)/11

Similarly, you can eliminate X by using

-3A + 2B = -3 (2X + Y) + 2 (3X - 4Y) = -11Y

==>   Y = (3A - 2B)/11

It follows that

[tex]X=\dfrac4{11}\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\dfrac1{11}\begin{bmatrix}7&-10\\-7&11\end{bmatrix} \\\\ X=\dfrac1{11}\left(4\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\left(\begin{bmatrix}48&-12\\40&88\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\begin{bmatrix}55&-22\\33&99\end{bmatrix} \\\\ X=\begin{bmatrix}5&-2\\3&9\end{bmatrix}[/tex]

Similarly, you would find

[tex]Y=\begin{bmatrix}2&1\\4&4\end{bmatrix}[/tex]

You can solve the second system in the same fashion. You would end up with

[tex]P=\begin{bmatrix}2&-3\\0&1\end{bmatrix} \text{ and } Q=\begin{bmatrix}1&2\\3&-1\end{bmatrix}[/tex]

Step-by-step explanation:

hence it has been done . check the file .

hope this helped you

any problem then comment it .

Answer:

this is your test right pls study and answer

Step-by-step explanation:

which language is right

Sum means add.

Start at -6 and add 9

-6 + 9 = 3

Answer: 3

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{What is the sum of -6 \& 9?}[/tex]

[tex]\huge\textsf{The word \underline{sum} means to \bf add/addition }[/tex]

[tex]\huge\text{The EQUATION: -6 + 9 = [blank]}[/tex]

[tex]\huge\bullet\huge\textsf{To find out your result you have to start}\\\huge\textsf{at -6 \& go UP 9 spaces to the right}\\\huge\textsf{since you are ADDING \& NOT}\\\huge\textsf{SUBTRACTING.}\\\\\huge\bullet\huge\textsf{If you are subtracting you would do the}\\\huge\textsf{opposite \& go down to the left}[/tex]

[tex]\huge\boxed{\star}\huge\text{ Without further ado, we have reached}\\\huge\text{our result to your question is \boxed{\bf 3}}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: \bf 3}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

The height of the triangle is four meters.

Step-by-step explanation:

We are given that the area of a triangle is 12 square meters. The base is two meters longer than the height, and we want to determine the height of the triangle.

Recall that the area of a triangle is given by:

[tex]\displaystyle A = \frac{1}{2}bh[/tex]

Since the area is 12 square meters:

[tex]\displaystyle 12 = \frac{1}{2}bh[/tex]

The base is two meters longer than the height. In other words, we can write that:

[tex]b = h + 2[/tex]

Substitute:

[tex]\displaystyle 12=\frac{1}{2}(h+2)h[/tex]

Solve for h. Multiply both sides by two:

[tex]24 = (h+2)h[/tex]

Distribute:

[tex]h^2+2h=24[/tex]

Isolate:

[tex]h^2+2h-24=0[/tex]

Factor:

[tex](h+6)(h-4)=0[/tex]

Zero Product Property:

[tex]h + 6 = 0\text{ or } h -4 =0[/tex]

Solve for each case:

[tex]h = -6\text{ or } h = 4[/tex]

Since the height cannot be negative, we can ignore the first solution.

Thus, the height of the triangle is four meters.

Answer:  y = (-4/3)*sqrt(2/3)

This is the same as writing [tex]y = -\frac{4}{3}\sqrt{\frac{2}{3}}[/tex]

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

Explanation:

The phrasing "where the absolute value of the slope is minimized" is an interesting way of saying "the tangent slope is 0". This is because absolute values are never negative, so the smallest it can get is 0.

Your teacher has given you

y = x^3 - 2x

which differentiates into

dy/dx = 3x^2 - 2

after using the power rule

The derivative function lets us determine the slope of the tangent. The slope is the dy/dx value. Since we want a slope of 0, we'll set 3x^2-2 equal to zero and solve for x. So you have the correct idea, but you won't involve the second derivative.

dy/dx = 0

3x^2 - 2 = 0

3x^2 = 2

x^2 = 2/3

x = sqrt(2/3)

Notice how I'm ignoring the negative version of this root. This is due to the fact that [tex]x \ge 0[/tex]

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

Now plug this x value back into the original equation to find its corresponding y coordinate.

y = x^3 - 2x

y = x(x^2 - 2)

y = sqrt(2/3)*( 2/3 - 2 )

y = sqrt(2/3)*( -4/3 )

y = (-4/3)*sqrt(2/3)

Note that x = sqrt(2/3) leads to x^2 = 2/3 after squaring both sides.

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

Therefore, the equation of this tangent line is y = (-4/3)*sqrt(2/3)

All horizontal lines are of the form y = k, for some constant k. This constant value is basically what number you want the horizontal line to go through on the y axis. That number would be (-4/3)*sqrt(2/3).

Answer:

x = 54.6 m

Step-by-step explanation:

Δ MAB and Δ MNP are similar, then corresponding sides are in proportion, that is

[tex]\frac{MA}{MN}[/tex] = [tex]\frac{MB}{MP}[/tex] , substitute values

[tex]\frac{80.5-35}{80.5}[/tex] = [tex]\frac{x}{96.6}[/tex]

[tex]\frac{45.5}{80.5}[/tex] = [tex]\frac{x}{96.6}[/tex] ( cross- multiply )

80.5x = 4395.3 ( divide both sides by 80.5 )

x = 54.6

Answer:

Answer:

Answer:x = 25°

Answer:x = 25°Step-by-step explanation:

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )

Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )x = 25°

Hence the answer is 25.

Step-by-step explanation:

sinx = p/h = 7/25

so

p = 7

h = 25

now

h^2 = p^2 + b^2

25^2 = 7^2 + b^2

or, 625 = 49 + b^2

or, 625-49 = b^2

or, 576 = b^2

or,  b = [tex]\sqrt{576}[/tex]

so, b = 24

so

cosx = b/h = 24/25

tanx = p/b = 7/24

Answer:

21 1/6 ft

Step-by-step explanation:

Add the lengths together

12 1/2 + 8 2/3

Get a common denominator of 6

12 1/2 *3/3  + 8 2/3 *2/2

12 3/6 + 8 4/6

20 7/6

20 +6/6+1/6

21 1/6

Answer:

9i + 2

Step-by-step explanation:

3 + 4i - 1 + 5i

=> 3 - 1 + 4i + 5i

=> 2 + 9i

=> 9i + 2

Answer:

9i + 2

Brainliest, please!

Step-by-step explanation:

(3 + 4i) - (1 - 5i)

3 + 4i - 1 + 5i

9i + 2

Answer:

Inequality form:

x>1

Interval Notation:

( 1, infinity)

Answer: Option B 3!((6×5×4)-1)

Step-by-step explanation:

6! - 3!

= (1×2×3×4×5×6) - (1×2×3)

= 720 - 6

= 714

As you told you forgot to put options lemme answer it.

It will be option B

3!((6×5×4)-1)

It will be 6((6×5×4)-1)

= 6(120) -6

= 720 - 6

= 714

please click thanks and mark brainliest if you like :)

[tex]\\ \sf\longmapsto 6!-3![/tex]

[tex]\\ \sf\longmapsto (6\times 5\times 4\times 3\times 2\times 1)-(3\times 2\times 1)[/tex]

[tex]\\ \sf\longmapsto (720)-6[/tex]

[tex]\\ \sf\longmapsto 714[/tex]

Note:-

[tex]\boxed{\sf n!=n\times (n-1)(n-2)\dots}[/tex]

or

[tex]\\ \sf\longmapsto n!=n\times( n-1)![/tex]

Answer:

2nd option is the correct one

log|x|-f(x)+k

Answer:

if Q={1,3,5,7,9}Express it in description methods

Answer: With the condition that age is 30 or under, the sample space is restricted to the first column. This simplifies the problem to:

P(uses mass transit |age is 30 or under) = 125/575=0.217

Step-by-step explanation:

edmentum

Answer:

y=-4x-6

Step-by-step explanation:

y=-4x+5  m1=-4

m1=m2=-4 (the number near x is equal for the line and the searched line)

y=m2x+b

6=-4(-3)+b

b=-6

y=-4x-6

Answer:

3:25 pm

Step-by-step explanation:

How much time do they need for tours

Empire State Building : 1 hour 10 minutes

Central Park                   2 hour 50 minutes

Times Square                1 hour

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

                                      4 hours 60 minutes

but 60 minutes = 1 hour  so subtract 60 minutes and add 1 hour

4 hours 60 minutes

+1        -60

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

5 hours

They need 5 hours for the tours

We have to be at dinner at 8:25 so we need to start 5 hours earlier

8:25

- 5

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

3:25

We can start no later than 3:25 pm

Answer:

3.25

Step-by-step explanation:

First convert into minutes

1 hour = 60 minutes

Empire state building:

60 + 10 = 70

Central park:

60 + 60 + 50 = 170

Times square:

60

Now add all minutes together.

70 + 170 + 60 = 300 minutes.

Convert into hours:

300 / 60 = 5 hours.

8 - 5 = 3

So, Gabby's family can start their tour at 3:25 at most to get to dinner on time.

Hope this helped.

Answer:

M = sin ^-1 (5/11)

M = 27 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin M = 5/11

Taking the inverse sin of each side

sin ^-1 sin M = sin ^-1 (5/11)

M = sin ^-1 (5/11)

M=27.03569

To the nearest degree

M = 27

Answer:

here ,

question no. L the question is incomplete.

rest all are solved hope this helped u ☺️