A rectangle has length (x + 5)cm and width (x –2)cm. Its area is 60 cm 2

Answer:

Step-by-step explanation:

Answer:

245°

Step-by-step explanation:

the bearing is 180° + 65° = 245°

HOPE THIS HELPS

Answer:

-2

Step-by-step explanation:

the slope-intercept form

Answer:

xy = - 27

Step-by-step explanation:

Note that

(x - y)² = x² - 2xy + y² ← substitute given values, that is

9² = 27 - 2xy

81 = 27 - 2xy ( subtract 27 from both sides )

54 = - 2xy (divide both sides by - 2 )

- 27 = xy

Answer:

The function B has greater constant

Step-by-step explanation:

[tex]m(b) = \frac{20 - 15}{1 - 2} = - 5 \\ y = - 5x + c \\ when \: y = 20 \: \: \: \: \: and \: x = 1 \\ 20 = - 5 \times 1 = c \\ c = 25[/tex]

Answer:

x = 4 + √ 6 , 4 − √ 6 hope this is correct-

Answer:

b^4

Step-by-step explanation:

have a good day

Step-by-step explanation:

[tex] \frac{ ({b}^{8}) (b)}{(b)^{5} } \\ = \frac{ {b}^{8 + 1} }{ {b}^{5} } \\ = \frac{ {b}^{9} }{ {b}^{5} } \\ = {b}^{9 - 5} \\ = {b}^{4} [/tex]

Hope it will help :)

Answer:

y=-2x-1

Step-by-step explanation:

1st step is to find the slope

which is....

-2

2nd step would be find y-intercept

which is....

-1

soooo your equation would be....

y=-2x-1

Answer:

just do pythagorean theorem  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

This is a Pythagorean Problem

Formula

a^2 + b^2 = c^2

a = 5

b = ?

c = 9

Solution

5^2 + b^2 = 9^2             Expand the givens

25 + b^2 = 81                  Subtract 25 from both sides

25-25+b^2 = 81- 25

b^2 = 56

√b^2 = √56

b = √8*7

b = √2*2*2*7

b = 2 √2*7

b = 2 √14

For every 2 prime factor under the square root sign, 1 of them can be taken out from under the root and the other is thrown away.

Answer:

x < 11

Step-by-step explanation:

Taking the problem piece by piece;

five is greater than

5 >

the result of taking six away from x

x - 6

Solve for x;

5 > x - 6

5 + 6 > x

11 > x

x < 11

Answer:

2 2/5

Step-by-step explanation:

2/5 x 6 = 12/5 = 2 2/5

Hope that helps!

Answer:

180

Step-by-step explanation:

Answer:

7/4

Step-by-step explanation:

Answer:

The Answer would be 7/4 as an Improper fraction

Step-by-step explanation:

Answer:

roughly 12.56 units

Step-by-step explanation:

Since the perimeter of a circle is 2*pi*r, we can divide it by two or multiply by half in order to find the perimeter of a semicircle

half of the diameter is the radius, so 8/2 =4, r=4

Plug in what we know...

C=2*pi*4

Solve

2*3.14*4

25.12

divide by 2

25.12/2=12.56

12.56 units is the perimeter

Answer:

Approx. 20.566 units

Step-by-step explanation:

Find the circumference of the whole circle first by doing:

C = 2πr

r = 4 (8 divided by 2)

C ≈ 25.133

Then divide that by two because a semi-circle is half a circle:

12.566

Then add 8 (diameter) to that number for the open side.

Hope this helps :)

i would say c maybe?

Answer: B - 402

Edge 2020

Answer:

g= -2

Step-by-step explanation:

Answer:

g=−2

Step-by-step explanation:

regroup: 2(3+g)−g=−4(g+1)

expand: 6+2g−g=−4g−4

simplify: 6+g=−4g−4

add 4 to both sides: 6+g+4g=−4

simplify again: 6+5g=−4

5g=−10

divide 5

g=-2

Answer:

Yes she is correct

Step-by-step explanation:

Step-by-step explanation:

The top answer is x and the bottom answer is 14.

Answer: 85

Yupyupyupypu

Step-by-step explanation:

step 1. (13x + 8) + (2x + 7) = 180 (definition of same side interior angles)

step 2. 15x + 15 = 180 (like terms)

step 3. 15x = 165 (subtract 15 from each side)

step 4. x = 11. (divide both sides by 15)

Answer:

88....................

Answer:

88 people

Hope it helps!!!!

Answer: x and y coordinate

Step-by-step explanation:

Answer:

Step-by-step explanation:

D is a rough estimate because the actual output would be

9.8(1.098)(1.051)

Answer:

9[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify the radicals

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]

= 2[tex]\sqrt{5}[/tex]

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex]

Then

3[tex]\sqrt{20}[/tex] + [tex]\sqrt{45}[/tex]

= 3(2[tex]\sqrt{5}[/tex] ) + 3[tex]\sqrt{5}[/tex]

= 6[tex]\sqrt{5}[/tex] + 3[tex]\sqrt{5}[/tex]

= 9[tex]\sqrt{5}[/tex]

Answer:

3/4

Step-by-step explanation:

4(3n-7)=-19

3n-7=-19/4

3n=-19/4+7

3n=-19/4+28/4

3n=9/4

n=(9/4)/3

n=(9/4)(1/3)

n=9/12

simplify

n=3/4

Answer:

3/4

You would have to divide both sides by 4

Step-by-step explanation:

[tex]\frac{4(3n-7)}{4} =\frac{-19}{4}[/tex] ( divide both sides by 4 )

[tex]3n-7= -\frac{19}{4}[/tex]  ( simplify )

[tex]3n-7+7=-\frac{19}{4} +7[/tex] ( add 7 to both sides )

[tex]3n=\frac{9}{4}[/tex]  ( simplify )

[tex]\frac{3n}{3} =\frac{\frac{9}{4} }{3}[/tex]  ( divide both sides by 3 )

[tex]n=\frac{3}{4}[/tex]

Part (a)

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

Work Shown:

Let's say we have

To find the volume of the block, we multiply the length width and height.

So,

volume = (length)*(width)*(height)

V = L*W*H

V = LW*(x+3) .... replace H with (x+3)

V = LW*x + LW*3 .... distribute

V = Lx*(W) + 3L*(W)

V = Lx(x+4) + 3L(x+4) .... replace W with x+4

V = Lx^2 + 4Lx + 3Lx + 12L .... distribute

V = Lx^2 + 7Lx + 12L

V = x^2*(L) + 7x*(L) + 12*(L)

V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5

V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute

V = x^3 + 12x^2 + 47x + 60

x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.

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

Part (b)

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

Work Shown:

We can plug x = 3 into the polynomial we found

V = x^3 + 12x^2 + 47x + 60

V = (3)^3 + 12(3)^2 + 47(3) + 60

V = 27 + 12(9) + 47(3) + 60

V = 27 + 108 + 141 + 60

V = 336

Or we could find the volume like this

V = L*W*H

V = (x+5)*(x+4)*(x+3)

V = (3+5)*(3+4)*(3+3)

V = (8)*(7)*(6)

V = 336

Either way, we get the same volume of 336 cubic feet.

Answer:

[tex]4\sqrt{2}[/tex]

Step-by-step explanation:

distance formula:[tex]\sqrt{\left(x_2-x_1\right)^{2}+\left(y_2-y_1\right)^{2}}[/tex]

set square to be centered on the origin and find the distance between 2 of the connected points

[tex]\sqrt{\left(3-2\right)^{2}+\left(2-1\right)^{2}}[/tex]

= [tex]\sqrt{\left(1\right)^{2}+\left(1\right)^{2}}[/tex]

= [tex]\sqrt{2}[/tex]

multiply by 4 as it is a square and all of its sides are equal

[tex]4\sqrt{2}[/tex]

insert units

[tex]4\sqrt{2}\ \ meters[/tex]

The perimeter of the square is √32.

Given to us

As we can see in the figure AB is the diagonal of the square and diameter of the circle. therefore,

AB = Diagonal of the square = Diameter of circle = 2 x Radius = 2 meter

We know the diagonal of a square is equal to the product of √2 and the side of the square.

[tex]Diagonal = side \times {\sqrt2}[/tex]

Substitute the value,

[tex]2 = side \times {\sqrt2}\\\\side = \dfrac{2}{\sqrt2}\\\\side ={\sqrt2}[/tex]

The perimeter of the square is four times the side of the square.

[tex]Perimeter = 4\times (side)[/tex]

Substitute the value,

[tex]Perimeter = 4\times (\sqrt2)\\\\Perimeter = 4\sqrt2 = \sqrt{2\times 16} = \sqrt{32}[/tex]

Hence, the perimeter of the square is √32.

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