Check if (1,6) is the solution to the system shown below.

Answer:

the dimension of the rectangle is 4 cm and 6 cm respectively

Step-by-step explanation:

The computation of the dimension of the rectangle is shown below:

Given that

The perimeter of the rectangle is 20 cm

The width be x

So, the length would be 2 1 ÷ 4 x - 3 i.e.  9 ÷ 4x - 3

Now as we know that

Perimeter of the rectangle = 2 (length + width)

20 = 2 (9 ÷ 4x - 3 + x)

20 = 9 ÷ 2x - 6 + 2x

20 = 4.5x - 6 + 2x

26 = 6.5x

x = 4 cm

Now the length would be

= 9 × 4  ÷ 4  - 3

= 6 cm

Hence, the dimension of the rectangle is 4 cm and 6 cm respectively

Answer:

60%

Step-by-step explanation:

8-5=3

3/5=0.6 and 0.6 = 60%

so 3 is 60% or 5

so 5+3 is a 60% increase

Answer:

Step-by-step explanation:

Answer:

y = 36

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y = [tex]\frac{kz}{x}[/tex] ← k is the constant of variation

To find k use the condition y = - 18, z = 3 when x = 6 , then

- 18 = [tex]\frac{3k}{6}[/tex] ( multiply both sides by 6 )

- 108 = 3k ( divide both sides by 3 )

- 36 = k

y = [tex]\frac{-36z}{x}[/tex] ← equation of variation

When x = 5 and z = - 5, then

y = [tex]\frac{-36(-5)}{5}[/tex] = [tex]\frac{180}{5}[/tex] = 36

Answer:

936cm^2

Step-by-step explanation:

18×24

+

30×7

+

18×7

+

24×7

Answer:

363cm squared

Step-by-step explanation:

Honestly, I have trouble with this stuff as well.

*keep in mind you need to use PEMDAS

Parenthessees

Exponents

Multiplication

Division

Addition

Subtraction

(24*18+7*18+24*7)/2

without the divisible of 2, this is what the triangular prism would be as a rectangular prism. all you have to do to seperate the two is divide the rectangular prism's value by 2.

Answer:

Radius

Step-by-step explanation:

The name of the segment AB is radius

Answer:

The answer would be D , 28 .

Step-by-step explanation:

Hope this helps ^^

Answer: in statistics deviation is the difference between the value of one number in a series of numbers and the average value of all numbers in the series (  i hope this helped)

Step-by-step explanation:

Answer:

hbjh

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

have a great day ;b

Answer:

x > 3

Step-by-step explanation:

Open circle and going to the right inequality: >

Since it starts at 3, the inequality is:

x > 3

The required inequality will be 3<x<7.

It is a type of equation having less than and greater than signs.

If we see the line it is started from 3 and ends on 7 and circle on 3 is not filled it means it does not contains 3 So the required inequality is

3<x<7

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Answer:

[tex]\huge\boxed{\sf \frac{y-5}{y-3} }[/tex]

Step-by-step explanation:

Solving it by mid-term break method:

[tex]\displaystyle =\frac{y^2-3y-40}{y^2-11y+24} \\\\= \frac{y^2 -8y+5y-40}{y^2-3y-8y+24} \\\\= \frac{y(y-8)+5(y-8)}{y(y-3)-8(y-3)} \\\\Take \ (y-8) \ and \ (y-3)\ common\\\\= \frac{(y-8)(y-5)}{(y-8)(y-3)} \\\\= \frac{y-5}{y-3} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

[tex]\frac{y+5}{y-3} \textrm{ where } y \ne 8[/tex]

Step-by-step explanation:

We'll first factorize the quadratic equations by finding their zero-points:

[tex]y^2 - 3y - 40 = 0\\\Delta = (-3)^2 - 4\cdot 1 \cdot -40 = 9 + 160 = 169\\\sqrt{\Delta} = 13\\y = \frac{3 \pm 13}{2}\\y_1 = 8\\y_2 = -5\\y^2 - 3y - 40 = (y - 8)(y + 5)\\~\\y^2 - 11y + 24 = 0\\\Delta = (-11)^2 - 4\cdot 1\cdot 24 = 121 - 96 = 25\\\sqrt{\Delta}} = 5\\y = \frac{11 \pm 5}{2}\\y_1 = 8\\y_2 = 3\\y^2 - 11y + 24 = (y - 8)(y - 3)[/tex]

Now we can use this to simplify the whole division:

[tex]\frac{y^2-3y-40}{y^2-11y+24} = \frac{(y-8)(y+5)}{(y-8)(y-3)} = \frac{y+5}{y-3} \textrm{ where } y \ne 8[/tex]

Answer:

$82.5

Step-by-step explanation:

75x 0.1 = 7.5

75 + 7.5 =

$82.5

Answer:

(

)

=

0

.

7

5

+

2

Step-by-step explanation:

Answer:

picture po mero po ba kayong pic nyan

Answer:

enlarge by scale factor -1/2, centre 6,5

Answer:

the third one

Step-by-step explanation:

Answer:

the polygon is the third one so C

Step-by-step explanation:

Edge 2022

Answer:

D trust me look

Step-by-step explanation:

Hope This Helped

Answer:

The answer is D

Step-by-step explanation:

8x6 is 48

-3x6=18-

-4x6=24-

-7x6=42-

Answer:

m∠1 = 108°

m∠2 = 72°

Step-by-step explanation:

By applying triangle sum theorem in the given triangle,

Sum of all interior angles = 180°

38° + 70° + m∠2 = 180°

m∠2 = 180° - 108°

        = 72°

Since, angles 1 and 2 are the linear angles,

Therefore, m∠1 + m∠2 = 180°

m∠1 + 72° = 180°

m∠1 = 180° - 72°

m∠1 = 108°

Answer:$ 10.01 would be the difference

Step-by-step explanation:

99.99

- 89.98

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

10.01

Answer:

-17+144i

Step-by-step explanation:

The vertex of the function f(x) = |x + 8| - 3 is (-8, -3).

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given is an absolute value function,

f(x) = |x + 8| – 3

For a function of the form,

f(X) = a |x - h| + k, the vertex of the function is the point (h, k).

Comparing the equation with the given one,

f(x) = |x + 8| – 3

f(x) = |x - (-8)| + (-3)

So we get, h = -8 and k = -3.

So vertex is (-8, -3).

Hence the vertex is (-8, -3).

Learn more about Absolute Value functions here :

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Answer:No

Step-by-step explanation:

Answer: B

Step-by-step explanation:

2/9 = 2(5)/9(5) = 10/45

You can multiply the numerator and the denominator by the same and the fraction will always be equivalent.

2 to 9 is equivalent to 10 to 45