The length of a rectangle is twice its width, The perimeter of the rectangle is 36ft. what are the length and width of the rectangle?​

Answer:

Step-by-step explanation:

Given equation,

⇒ 5x - 6 = 3x - 8

Subtracting 3x from both sides :

⇒ 5x – 6 – 3x = 3x – 8 – 3x

⇒ 2x – 6 = – 8

Adding 6 to both sides we get :

⇒ 2x – 6 + 6 = – 8 + 6

⇒ 2x = – 2

Dividing both sides by 2 we get :

⇒ 2x/2 = – 2/2

⇒ x = – 1

Therefore,

Answer:

[tex]\sf \boxed{\bold{x=-1}}[/tex]

Solving Stepwise:

[tex]\dashrightarrow \sf 5x-6=3x-8[/tex]

add 6 on both sides

[tex]\dashrightarrow \sf 5x-6+6=3x-8+6[/tex]

simplify

[tex]\dashrightarrow \sf 5x=3x-2[/tex]

subtract both sides by 3x

[tex]\dashrightarrow \sf 5x-3x=3x-2-3x[/tex]

simplify

[tex]\dashrightarrow \sf 2x=-2[/tex]

divide both sides by 2

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

simplify

[tex]\dashrightarrow \sf x =-1[/tex]

Check for the answer:

insert x = -1

[tex]\hookrightarrow \sf 5(-1)-6=3(-1)-8[/tex]

[tex]\hookrightarrow \sf -5-6=-3-8[/tex]

[tex]\hookrightarrow \sf -11=-11[/tex]

Answer:

67°

Step-by-step explanation:

Ignore the 2500m for now.

To find angle x, we know that the sum of the degrees in a triangle is 180. We see that under the 2500m there is a square, indicating that the angle is 90 degrees.
So we can do 180-23-90 = 67.

Therefore, the angle measure of ∠x is 67°

Answer:

-5

Step-by-step explanation:

formula of slope is

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

y2 is the second y value

y1 is the first y value so you get

[tex] \frac{6 - 11}{14 - 13} [/tex]

that leaves you with -5 /1 which can be written as -5

-5

The slope is rise over run. In other words, it is the change in y divided by the change in x.

Slope Formula

The formula for slope is [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]. This will give the the difference in y-values divided by the difference in x-values. To find the slope, plug in the values.

Final Slope

The y-value decreases by 5 as the x-value increases by 1. This means that the slope must be -5/1. This can be rewritten as -5.

Answer:

Male

Step-by-step explanation:

There are 28 males and 26 professors so you are more likely to choose a male rather than professor of any other gender!

Answer:

x = 28

Step-by-step explanation:

4x-16 = 2(x+20)

4x-16 = 2x+40

Divide 2x from each side:

2x-16 = 40

Add 16 to each side:

2x = 56

Divide each side by 2:

x = 28

Answer:

76 in^2

Step-by-step explanation:

2 rectangles on the sides: 64 in^2

8x4 = 32

32x2 = 64

rectangle in the middle: 12 in^2

4x3 = 12

altogether area: 76 in^2

64+12 = 76

Answer:

Step-by-step explanation:

Answer A represents an exponential equation; see below for a demo.

In Answer A we have (1, 3), (2, 3²), (3,3³)

A- a+b-c²

=2+(-1-1)^2

=1-1

=0

B-a³-b+c

2^3-(-1+1)

=8+1+1

= 10

C-a-b-c

2-(-1-1)

=2+1-1

=2

Step-by-step explanation:

plot the points

0,0

1,3

2,6

3,9

if anything else is needed inform me.

[tex]1000000000 \times 43000000 = 43000000000000000[/tex]

For the given function g(x)=xpower of 2-6x-16, the statement which is true, is the zeros are -2 and 8 because the factor of g are (x+2) and (x-8).

A quadratic function is the function in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic function is,

[tex]f(x)=ax^2+bx+c[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable.

The quadratic function given in the problem is,

[tex]g(x)=x^2-6x+16[/tex]

Factorized it with split the middle term method,

[tex]g(x)=x^2-6x-16\\g(x)=x^2-8x+2x-16\\g(x)=x(x-8)+2(x-8)\\g(x)=(x-8)(x+2)[/tex]

Equate the factors of the function, to find the zeros,

[tex]x-8=0;x=8\\x+2=0;x=-2[/tex]

Hence, for the given function g(x)=xpower of 2-6x-16, the statement which is true, is the zeros are -2 and 8 because the factor of g are (x+2) and (x-8).

Learn more about the quadratic equation here;

https://brainly.com/question/1214333

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Since it's a Trapezoid with its non - parallel sides equal to one another,

[tex]\qquad \sf  \dashrightarrow \:\angle A + \angle P = 180[/tex]

[ By forming co - interior angle pair ]

[tex]\qquad \sf  \dashrightarrow \:\angle A +100 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:\angle A = 180 - 100[/tex]

[tex]\qquad \sf  \dashrightarrow \:\angle A = 80 [/tex]

Now, similarly,

[tex]\qquad \sf  \dashrightarrow \:\angle A + \angle R = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \: \angle R + 80 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \: \angle R = 100[/tex]

Similarly,

[tex]\qquad \sf  \dashrightarrow \angle K + \angle R = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \angle K + 100 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \angle K = 80[/tex]

Consecutive angles are supplementary

Opposite angles are equal

Opposite angles are equal again

Zeros are

Write in factor form and solve

Points given (-2,16)

Solve for n

On solving we get

So the function is

Answer:

-4x³ - 28x²- 48x

Explanation:

→ so equation: a(x+4)(x+3)(x+0)

→ substitute these points to find a

so the graphed cubic equation:

The volume of 3 of shipping containers 267.75 cubic yards.

We need to find the volume of one shipping container and then multiply it by 3 to find the volume of three shipping containers.
Find the volume of one shipping container.
Volume = Base Area × Height
Volume = 25.5 square yards × 3.5 yards
Calculate the volume.
Volume = 89.25 cubic yards
Find the volume of three shipping containers.
Total Volume = Volume × Number of Containers
Total Volume = 89.25 cubic yards × 3
Calculate the total volume.
Total Volume = 267.75 cubic yards.

For similar question on volume.

https://brainly.com/question/12410983

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Answer:

x=4/5

Step-by-step explanation:

Add 18 to both sides and simplify

Answer: [tex]cot(x)[/tex]

Step-by-step explanation:

Secant is defined as the inverse of sine. Mathematically:

[tex]secant=\frac{1}{sine}[/tex]

Therefore, rewriting the intial equation, you get:

[tex]sec(x)cos(x)=\frac{cos(x)}{sin(x)}[/tex]

This might seem random, but you should know that tangent is defined as:

[tex]tangent=\frac{sine}{cosine}[/tex]

Our answer is the inverse of tangent. The inverse of tangent is the definition of cotangent:

[tex]\frac{cos(x)}{sin(x)}=cot(x)[/tex]

Answer:

C. Equally likely

Step-by-step explanation:

1/2=0.5=50% probability

Using the relation between velocity, distance and time, it is found that:

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

In opposite directions, the relative velocity is [tex]v = v_1 + v_2[/tex], and the 64 km are run in 4 hours, hence:

[tex]v_1 + v_2 = \frac{64}{4}[/tex]

[tex]v_1 + v_2 = 16[/tex]

[tex]v_1 = 16 - v_2[/tex]

In the same direction, the relative velocity is [tex]v = v_1 - v_2[/tex], and the 64 km are run in 16 hours, hence:

[tex]v_1 - v_2 = \frac{64}{16}[/tex]

[tex]v_1 - v_2 = 4[/tex]

Since [tex]v_1 = 16 - v_2[/tex]:

[tex]16 - v_2 - v_2 = 4[/tex]

2v2 = 12.

v2 = 6.

v1 = 16 - 6 = 10 km/h.

Hence:

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

is there any answer choices

Answer:

They are not equivalent.

Step-by-step explanation:

5(3a+2)=15a+10

15a+10≠15a+2

Answer:

not equivalent.

Step-by-step explanation:

5(3a+2). multiply the 5 into the parenthesis, so multiply it by both numbers.

15a+10≠15a+2

if you wanted to go further, since 15a is equivalent, just take it out.

10≠2

Answer:

A

Step-by-step explanation:

Find Θ from the problem by using arcos. Find that Θ=64.158....

plug this into cos(Θ) and find that cos(Θ)= [tex]\frac{\sqrt{19} }{10}[/tex] or 0.43589. A is the only answer choice with this so it must be correct.

Answer:

Attached image

Step-by-step explanation:

Convert 3/4 to 6/8, then count out the points on the line for each number to plot it.

Answer:

There are 8 tick marks, so......

2.75 would go on the 6th tick mark between 2 and 3

1.625 would go on the fifth mark between 1 and 2

For clarification, I have graphed it out below!

Hope this helps!

Answer:

McKinley, Logan, Pico de Orizaba

Step-by-step explanation:

Answer:

B. 8.75

Step-by-step explanation:

Answer:

y=51, z and x= 129

Step-by-step explanation:

its complicated, but try to think of it as 51 and x/z are complementary angles, meaining they are on the same line, which means they equal 180, which makes this easier to solve meaning all you have to do is subtract 180-51=129.

from Chicago to Atlanta is 700 miles, so in plain-vanilla shipping costs for that will be $240 per every 100 lbs.

if we're shipping 2,000 lbs, hmmm that's 2000/100 = 20, so 100 lbs 20 times, so our plain-vanillla cost will be 20 * 240 = 4800 bucks.

Now, we're Da Bomb, and hell, why not, let's ship it on a 3-5 day, but that has a Premium of an extra 20%, hmmm that means our cost using 3-5 days service is 4800 + 20%.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 4800}}{\left( \cfrac{20}{100} \right)4800}\implies 960~\hfill \underset{final~cost}{\stackrel{4800~~ + ~~960}{5760}}[/tex]

Answer:

Larger number = 25

Smaller number = 14

Step 1. Establish variables and system of equations

Larger number = x

Smaller number = y

&

x + y = 39

y + 11 = x

Step 2. Isolate a variable in ONE equation

x + y = 39

y = 39 - x

Step 3. Substitute that into the OTHER equation to find x

y + 11 = x

(39 - x) + 11 = x

50 - x = x

50 = 2x

25 = x

Step 4. Substitute that into the OTHER equation to find y

x + y = 39

(25) + y = 39

y = 14

Answer:

x=1 it is not inverse