What is the equation of the line in slope-intercept form?

Answer:

1:4.5 or 2:9 if you want it a whole number.

Step-by-step explanation:

81/18 = 4.5If your trying to get it to a whole number the answer would be 2:9 because 18/9 = 2 and 81/9 = 9 so 1:4.5 or 2:9.

Answer:

35x^8 y^8

Step-by-step explanation:

Answer:

[tex]125y {}^{5}(7x {}^{5}y)[/tex]

Answer:

-22

Step-by-step explanation:

type it in google

Answer: £78

Step-by-step explanation

It decreased by 1/3 and after the reduction it was £26 so you have to get the other 2/3 so you multiply £26 by 3 to get the 3/3 that you need that will give you £78.

26 × 3 = £78

Answer:

1. -32

2. -46

Step-by-step explanation:

1. When muliplying a number with a postive number and a negative number the answer will be a negative number

2. When you have a negative number and when  you have a postive number and you are subtracting your answer has to be a negative answer

Answer:

cvgbnm,m

Step-by-step explanation:

bxxcvn vn

Answer:

Yes

8 ft

Step-by-step explanation:

The equation of the arch is

[tex]y=-0.0625x^2+1.25x+5.75[/tex]

Differentiating with respect to [tex]x[/tex] we get

[tex]\dfrac{dy}{dx}=-2\times 0.0625x+1.25=-0.125x+1.25[/tex]

Equating with zero

[tex]0=-0.125x+1.25\\\Rightarrow x=\dfrac{-1.25}{-0.125}\\\Rightarrow x=10[/tex]

Double derivative of the equation

[tex]\dfrac{d^2y}{dx^2}=-0.125<0[/tex]

So, the function is maximum at [tex]x=10[/tex]

[tex]y=-0.0625x^2+1.25x+5.75=-0.0625\times 10^2+1.25\times 10+5.75\\\Rightarrow y=12[/tex]

The function is maximum at [tex](10,12)[/tex]

So, the truck's center should be below the point [tex](10,12)[/tex] for maximum width to pass through.

Now truck is 11 feet tall so [tex]y=11[/tex]

[tex]11=-0.0625x^2+1.25x+5.75\\\Rightarrow -0.0625x^2+1.25x-5.25=0\\\Rightarrow x=\frac{-1.25\pm \sqrt{1.25^2-4\left(-0.0625\right)\left(-5.25\right)}}{2\left(-0.0625\right)}\\\Rightarrow x=6,14[/tex]

The maximum width of the truck can be [tex]14-6=8\ \text{ft}[/tex] if it is 11 feet tall.

So, the truck which has a width of 7 feet can fit under the arch.

Answer:

105.8

Step-by-step explanation:

All you have to do is add them up :)

Answer:

95.80

Step-by-step explanation:

Btw this is very easy Hope this Helps tho (✿◡‿◡)

E is the midpoint of DA, and F is the midpoint of DB. This means EF is a midsegment of the triangle. It is half as long as AB, and EF is also parallel to AB.

When we extend EF to form segment EC, it is now twice as long compared to EF. So that shows EC is the same length as AB, in other words, EC = AB. Also, EC is parallel to AB. This works due to points E, F, and C being on the same line.

Since EC || AB, we know that angle EBA = angle BEC. These are alternate interior angles.

From the reflective property, we can say EB = EB

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

Using these three facts

to prove that triangle EBA is congruent to triangle BEC. The next step is to use CPCTC (corresponding parts of congruent triangles are congruent) to lead to

angle BEA = angle EBC

we can use the alternate interior angle theorem converse to conclude that EA is parallel to BC.

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

In summary, we have proven:

By the definition of what it means to be a parallelogram, we have proven quadrilateral EABC is a parallelogram. In short, we've shown that the opposite sides are parallel.

Answer:

Y=6/5x+5

Step-by-step explanation:

Answer:

it's B

Step-by-step explanation:

lol how do you not know this

Answer:

B

Step-by-step explanation:

Answer:

It would be 90.284.

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

(2x+3)^2=121

2x+3=square root of 121

2x+3=11

2x=11-3

2x=8

x=4

(in a square all sides are equal therefore area =length ×width where length and width=2x+3)

Answer:

48

Step-by-step explanation:

I solved the problem step by step on paper and got it right

Answer:

-3

Step-by-step explanation:

4-7/1-0

1-4/2-1

-2-1/3-2

Answer:

A

Step-by-step explanation:

because 1/2 = 4/8

and 5/8 is greater than 4/8  

The number line is the representation of numbers in real order.

5/8 = 0.625

1/2 = 0.50

5/8 is greater than 1/2.

Option A is the correct answer.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

Example: Number line from -4 to 4.

-4__-3__-2__1__0__1__2__3__4

We have,

5/8 > 1/2

5/8 = 1/2

5/8 < 1/2

5/8 = 0.625

1/2 = 0.50

We see that,

0.625 > 0.50

So,

5/8 must be greater than 1/2

i.e

5/8 > 1/2

We can also find the relation between 5/8 and 1/2 in this way.

5/8 = 1/2

Cross multiply.

5 x 2 = 8

10 = 8

10 is greater than 8

So,

5/8 is greater than 1/2

5/8 > 1/2

Thus,

5/8 = 0.625

1/2 = 0.50

5/8 is greater than 1/2.

Option A is the correct answer.

Learn more about number line here:

https://brainly.com/question/13425491

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Answer:

The final sales tax price is $6.30.

Step-by-step explanation:

We know that the item has a listed price of $70, and it also has a 9% sales tax rate. In order to calculate this amount we need to do some multiplying.

$70 is the full amount of money, or 100%, plus 9% is 109%. To calculate the sales tax, we need to multiply the listed price by the sales tax rate.

70 x 1.09 = 76.3

Now, we must subtract the listed price (or $70), by the sales tax price (or $76.30)

76.3 - 70 = $6.30

Therefore, the final price of the sales tax is $6.30.

Hope this helps! :)

Answer:

61 boys

Step-by-step explanation:

x=girls

2x+5+x=89

3x+5=89

3x=84

x=28

28 x 2 = 56

56+5=61

The number of boys in the band will be 61.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that there are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls.

The equation can be formed as below,

2x+5+x=89

3x+5=89

3x=84

x=28

The number of boys will be,

B = 2x + 5

B = 28 x 2 + 5

B = 56+5=61

To know more about an expression follow

https://brainly.com/question/15059152

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Answer:

7x - 2y - 4 = 0

Step-by-step explanation:

from the perpendicular equation formula,

y/a + x/b = 1

x1 = 4

y1 = 12

a = -2

b= ?

Inserting the values into the above formula,

12/-2 + 4/b = 1

-6 + 4/b = 1

4/b = 7

b = 4/7

putting a and b into the original formula,

y/-2 + x/(4/7) = 1

-y/2 + 7x/4 = 1 (×4)

-2y + 7x = 4

7x - 2y - 4 = 0

Therefore, the equation of the line is;

7x - 2y - 4 = 0

Answer:

The answer is below!

Step-by-step explanation:

I hope this helps!

Answer:

For the first one,"3x+2y=0". i got 5=0.

For the second one,"x-5y=17". I got 3x

Step-by-step explanation:

Answer:

Approximately 15 tea hees

Step-by-step explanation:

Given that:

Number of teachers needed to Mark 500 exam papers in 30 hours =

Hence, marking rate of each teachers ;

500 / (30 * 10) = 500 / 300 = 1.667 papers per hour

If teachers mark at this rate, the number of teachers which will be required to mark 600 exam papers in 25 hours ;

Let number of teachers = t

(Rate * number of hours * number of teachers) = number of exam papers to be marked

(1.6667 * 25 * t) = 600

41.666665t = 600

t = 600 / 41.666665

t = 14.40000

Number of teachers needed = about 15 teachers

Answer:

Least possible value of x is 3

Step-by-step explanation:

Given:

x² + 21 = 30

Find:

Value of x

Computation:

x² + 21 = 30

x² = 30 - 21

x² = 9

x = √9

x = 3

Least possible value of x is 3

Answer:

12. Hope this helps!!!

Step-by-step explanation:

Answer: Option D

Step-by-step explanation: edge

Answer: P=55

Step-by-step explanation:

52=p-3

52+3= p+3

55=p (-3+3=0)

Answer:

less than or equal to 24

Step-by-step explanation:

this symbol ≤

Answer:

4

Step-by-step explanation:

ΔABC is congruent with ΔDEF.  That means the corresponding sides are congruent.

Look at the order of the letters.  EF are the last two letters of ΔDEF.  So this corresponds with the last two letters of ΔABC.  Therefore, EF ≅ BC.

EF ≅ BC

x² + 8x = 48

x² + 8x − 48 = 0

(x + 12) (x − 4) = 0

x = -12 or 4

Since x can't be negative, x = 4.

Answer:

1

Step-by-step explanation:

12-6x=-8x+7+7x

-6x+8x-7x=7-12

-5x=-5

X=5/5

X=1

So the value of X is 1