A 450m long field is drawn to a scale 1cm to 90cm.find the lenth of drawing

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Answer:

1.33,3.667

Step-by-step explanation:

Use y=mx+b for second system

which is y=5/2x+7

Now use substitution,graph, or elimination method.

[tex]-4(8+y)=90\implies8+y=-22.5\implies y=-30.5[/tex].

Hope this helps.

Answer:

-30.5.

Step-by-step explanation:

-4(8 + Y) = 90

-32 - 4Y = 90

-4Y = 122

Y = -30.5.

Hope this helps!

Answer:

[tex]y = 2g - 2[/tex]

[tex]y + g = 16[/tex]

Step-by-step explanation:

Given

Let g represent the green marbles

Let y represent the y marbles

Required

Determine the relationship between both marbles

The question says that y is 2 less than twice of g

This implies that: [tex]y = 2g - 2[/tex]

The question further states that, Sarah has a total of 16 marbles;

This implies that [tex]y + g = 16[/tex]

So, the system of equation that defines the relationship between y and g are:

y = 2g - 2

y + g = 16

Answer:

edge 2021

Step-by-step explanation:

If you let g be the variable for the green marbles and y be the variable for the yellow marbles, which equation represents the relationship between yellow and green marbles?

✔ y = 2g - 2

Sarah has a total of 16 marbles. Which equation represents the total number of marbles she has?

✔ y + g = 16

Answer:

x = -8

Step-by-step explanation:

1. Divide both sides of the equation by -9 to get (x+6) = -2

2. Now that are left with x+6 you can subtract (inverse operation) the 6 from both sides of the equation to get x = -8

Hope this helps

Answer:

B is a trinomial.

Step-by-step explanation: A trinomial is a math equation with 3 terms connected by plus or minus notations. In these 4 answer choices, choice B is the only one with 3 terms.

Answer

13x^3 i think its the right answer but am not sure :(

Answer:

The sum of two negative integers is always negative.

Step-by-step explanation:

For example, add -1+-1 which =-2, which are the smallest neggative numbers possible.-100+-100=-200, and -4+-4=-8, so you see that the sum of two negative integers should always be negative.

Answer:

r = -0.83

strong negative correlation

r = -0.08

weak negative correlation

r = 0.96

strong positive correlation

r = 0.06

weak positive correlation

Step-by-step explanation:

In this question, what we are expected to do is to match the values of the correlation given with the type of correlation in which the values are.

When we talk of correlation, we are simply referring to the extent of agreement between the values in the data field.

Correlation has a value between -1 and +1, meaning it could be negative or positive.

Values closer to the extremes i.e (-1 or +1) indicates strong correlation while values farther away, i.e closer to zero indicates a weak relationship.

Let’s answer the questions specifically now:

r = -0.83

This is closer to -1 and it indicates a strong negative correlation

r = -0.08

This indicates a weak negative correlation as it is closer to zero and farther away form -1

r = 0.96

This indicates a strong positive correlation

r = 0.06

This indicates a weak positive correlation

Answer:

y= 0.15x - 1, y = x, y = x + 100, y = 15x + 5.

Step-by-step explanation:

When the slope of a line is less than 1 (if the slope is a decimal), the slope will not be steep. But when the slope is more than 1, the slope will be steeper than the average.

According to that rule, the steepest will be y = 15x + 5.

The next steepest equations will be y = x and y = x + 100 (they are both at the same degree of steepness; the intercept does not impact the steepness of the line).

The least steepest will bey = 0.15x - 1.

So, the order, from least steep to most steep, will be y= 0.15x - 1, y = x, y = x + 100, y = 15x + 5.

Hope this helps!

Answer:900

Step-by-step explanation:

Answer:

960 cm.

Step-by-step explanation:

For the first day:

Subtract the primary level of water by the 20% of it. 20% of 1500 is:

[tex]0.2*1500=300[/tex] (Convert the percent to decimal)

Then subtract 1500 to 300. That would become 1200cm for the first day.

For the second day:

Subtract the level of water from the first day by 20% of it. 20% of 1200 is:

[tex]0.2*1200= 240[/tex]

Then subtract 1200 to 240. That would become 960 for the second day.

The level of the water after 2 days is 960 cm.

Answer:

Step-by-step explanation:

Hello,

First of all, we know that the solution of the following equation

   [tex]ax^2+bx+c=0[/tex]

are

   [tex]\dfrac{-b\pm\sqrt{b^2-4ac}}{2a} \ \text{ when } \Delta=b^2-4ac \geq 0[/tex]

I would suggest that you try to apply this formula first and check the solution only after you try.

Let's apply it in this case, we have:

[tex]a=4\sqrt{5} \\ \\ b=-24 \\ \\ c= -9\sqrt{5}[/tex]

[tex]\Delta=b^2-4ac=24^2+4*9*5=1296 \\ \\ \sqrt{\Delta}=36 \ \text{ and the solutions are } \\ \\ \\ x_1=\dfrac{24-36}{8\sqrt{5}}=\dfrac{-12}{8\sqrt{5}}=\boxed{\dfrac{-3}{2\sqrt{5}}} \\ \\x_2=\dfrac{24+36}{8\sqrt{5}}=\dfrac{60}{8\sqrt{5}}=\boxed{\dfrac{15}{2\sqrt{5}}}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

x=46 degrees

Step-by-step explanation:

first find the size of the other angles(let call z and y)

the sum of a straight angle is 180:

180=130+z

z=180-130=50

y=180-96=84

sum of angles of triangle =180

x+y+z=180

50+84+x=180

x=180-134=46 degrees

Answer:

46°

Step-by-step explanation:

Angle of a line = 180°

To find the other side of 130°

The other side = 180° - 130° = 50°

To find the other side of 96°

The other side = 180° - 96° = 84°

To find x°

Total angle of a triangle = 180°

180° = x° + 50° + 84°

x° = 180° - 134°

x° = 46°

Answer:

work is shown and pictured

C, infinitely many solutions.

B, one solution.

C, infinitely many solution.

A system of linear equations is a collection of one or more linear equations involving the same variables.

A system of linear equation has

According to the given questions

the given system of equations

(1). 2x+2y=3 and 4x+4y=6

if we see the graph of the above system of linear equations, the graphs are the" exact at same line".

Hence, they have infinitely many solution.

(2). 7x+5y=8 and 7x+7y =8

if we see the graph of the above system of linear equations, the graphs are intersecting at a single point.

Hence, there is only one solution.

(3). -2x+3y=7 and 2x-3y=-7

if we see the graph of the above system of linear equations, the graphs are exact at same line.

Hence, there is infinitely many solutions.

Learn more about the system of linear equations here:https://brainly.in/question/5130012

#SPJ2

Answer:

The domain is all values but x=4 and x=2

Step-by-step explanation:

f(x) = (x+1) / ( x^2-6x+8)

Factor the function

f(x) = (x+1) / ( (x-4) ( x-2))

The domain of the function is all values of x except where the function does not exist

This is where the denominator goes to zero

(x-4) ( x-2) =0

Using the zero product property

x-4 =0   x-2 =0

x=4   x=2

The domain is all values but x=4 and x=2

Answer:

Hey there!

This, is the graph of your function:

Thus the domain, or all the possible x values would be all real numbers except 2 and 4, because the lines will only reach 2 and 4 when y is infinity.

Hope this helps :)

Answer: rotate 180 degrees and reflection across the line y=2

Step-by-step explan

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Faktor (x-a) means a is x-intercept

x-10  ⇒  10 is x-intercept

22-x  ⇒  22 is x-intercept

x+10  ⇒  -10 is x-intercept

20+x  ⇒  -22 is x-intercept

so in the graph have to be at least two intercepts <0 and at least two intercepts >0

TV = VX.

3x-24 = 2x + 1

Add 24 to both sides:

3x = 2x + 25

Subtract 2x from both sides:

X = 24

VX = 2(25) + 1 = 50 + 1 = 51

The answer is 51

Answer:

51

Step-by-step explanation:

Since it is an isosceles triangle the two sides are equal  

3x - 24 = 2x + 1

x = 25

2(25) + 1 = 51

Answer:

The flight speed should be 84.79 miles per hour at angle of 22.92° Northeast

Step-by-step explanation:

The given information are;

The distance from Parrot Point Airport to Ivy Cliffs = 291 miles

The direction from Parrot Point Airport to Ivy Cliffs = 9.1° Northeast

The speed of the wind = 25 miles per hour

The direction of the wind = Southeast

The time for the journey = 3 hours

The component of the wind velocity are;

For Southeast direction which is an inclination of 45°

Speed of the wind = -25 × sin(45) + 25 × cos(45)

Without the wind, the velocity of flight will be V = Displacement/time, which gives;

V = 291/3 = 97 miles/hour = 97 mph

Let the required velocity of flying = X, we have;

X×sin(θ) + X×cos (θ)  -25× sin(45) + 25 × cos(45) = 97×sin(9.1) + 97×cos(9.1)

X×sin(θ) -25× sin(45) = 97×sin(9.1)

X×sin(θ) =  97×sin(9.1 )+25× sin(45 ) = 33.02

X×sin(θ) =  33.02

X×cos (θ) +  25 × cos(45) =  97×cos(9.1)

X×cos (θ) =  97×cos(9.1)-  25 × cos(45) = 78.1

X×cos (θ) =   78.1

∴X×sin(θ)/(X×cos (θ)) = tan(θ) = 33.02/78.1 = 0.423

tan⁻¹(0.423) = 22.918≈ 22.92°

X×sin(θ) =  33.02

X = 33.02/(sin(θ)) = 33.02/(sin(22.92°)) = 84.79 miles per hour

Therefore, the flight speed should be 84.79 miles per hour at angle of 22.92° Northeast.

Answer:

the number is -6  (assuming "3 lots of" means 3 times)

Step-by-step explanation:

Let the number be x

1 less than a doubled number

2x-1

5 more than 3 lots of (times???) the number

3x+5

Solve for x

2x-1 = 3x + 5

-x = 5+1

x = -6

Answer:

B. y= -x^2+50x-300

Step-by-step explanation:

A. y^2=4x^2-100

B. y= -x^2+50x-300

C. x=-y^2-400

D. x^2=-6y^2+200

we are to find profits (y) when the company sells x items

Option A can be used to calculate the profit (y) squared

Option B can be used to calculate profits (y)

Option C can be used to calculate items sold(x)

Option D can be used to calculate items sold squared(x^2)

We are asked to find the weekly profit (y) function which eliminate options A, C and D leaving us with option B

Therefore, the weekly profits (y) function in thousands of dollars when the company sells x items is

B. y= -x^2+50x-300

Answer:

∠AOB and ∠COD are vertical angles

∠DOE and ∠COD are complementary, adjacent

∠AOB and ∠AOD are supplementary, adjacent.

Step-by-step explanation:

Let's start with ∠AOB and ∠COD.

Looking at this, we can see they are the same angles formed by two lines that intersected. These are vertical angles as they are opposite each other.

∠DOE and ∠COD together form the angle ∠EOC, which is a right angle. Complementary angles are any of two that add up to 90°, so these two angles are complementary. They are also adjacent because they are right next to each other.

∠AOB and ∠AOD together form the angle ∠BOD, which has a measure of 180°. Supplementary angles are any of two that add up to 180°, so ∠AOB and ∠AOD are supplementary. They are also adjacent as they are touching/right next to each other.

I hope this helped!

Answer:

0.872665

Step-by-step explanation:

Answer:

your welcome and hope this helps

Answer:

[tex] y = x^2 -5x +6[/tex]

And for this case we want to find the zeros or x interceps r and s so we want to rewrite the function on this way:

[tex] y = (x-r) (x-s)[/tex]

The reason why we have two zeros is because the degree of the polynomial is 2. If we find two numbers that adding we got -5 and multiplied 6 we solve the problem. For this case the solution is r =3, s =2

[tex] y=(x -2)) (x-3)[/tex]

Step-by-step explanation:

For this problem we have the following polynomial given:

[tex] y = x^2 -5x +6[/tex]

And for this case we want to find the zeros or x interceps r and s so we want to rewrite the function on this way:

[tex] y = (x-r) (x-s)[/tex]

The reason why we have two zeros is because the degree of the polynomial is 2. If we find two numbers that adding we got -5 and multiplied 6 we solve the problem. For this case the solution is r =3, s =2

[tex] y=(x -2)) (x-3)[/tex]

Answer:

  88

Step-by-step explanation:

2.75 ft = (2.75 ft)(12 in/ft) = 33 in

At 0.375 inches per plate, there will be ...

  (33 in)/(0.375 in/plate) = 88 plates

There are 88 steel plates in the pile.

Answer:

g = (h+a) - l

None of them

Step-by-step explanation:

Suppose your car has h liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more oil, or both. The oil level in the evening is g liters. Which of the following expressions always represents how far away the new oil level is from the previous oil level? H+G lGl none of them

Let

h = liters of oil in the morning

l= liters that has leaked

a= liters that were added during the day

g= amount of liters at the end of the evening

Total liters of oil in the evening= (litres of oil in the morning + litres of oil added during the day) - litres of oil that leaked

Substituting each variable into the formula, we have

g = (h+a) - l

Answer:

A. 3

Step-by-step explanation:

ΔDEC is bigger than ΔABC by 5. For the hypotenuse, 25 is 5 times bigger than 5.

So, side DE on ΔDEC has to be 5 times bigger than side AB on ΔABC.

If side AB equals 3, side DE equals 18 - 3, which is 15.

15 is five times bigger than 3, so the answer is A. 3.

Hope that helps.

Answer:

B

Step-by-step explanation:

You can not take a square root of a negative number, because than it will become imaginary. So X has to be equal to or greater than 10.

Answer:

x ∈ R, x ≠ 9

Step-by-step explanation:

Given

f(x) = [tex]\frac{1}{x-9}[/tex]

The denominator of f(x) cannot be zero as this would make f(x) undefined.

To find the value that x cannot be, equate the denominator to zero and solve for x

x - 9 = 0 ⇒ x = 9 ← excluded value

Thus the domain is x ∈ R, x ≠ 9