Use the visual shown as a starting point. Describe how you can use diagrams to show that a² — b² = (a + b)(a — b).

Answer:

Step-by-step explanation:

A possible third length of the copper pipe that will make a triangle is 17 centimeters long.

This can be determined by using the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

For example, if the 4 cm pipe represents one side and the 13 cm pipe represents another side of the triangle, in order to make a triangle, the third side must be less than the sum of the other two sides (4 cm + 13 cm) and greater than the difference of the other two sides (13 cm - 4 cm). Therefore, the third side must be between 9 cm and 17 cm.

17 cm is the only length within this range that can make a triangle with 4 cm and 13 cm.

Answer: The possible length of the third triangle is 17

Step By Step Explanation: When you add 4 + 13 = 17 and 4 and 13 were the lengths of the other copper pipes.

Answer:

Step-by-step explanation:

-142/15

Answer: I think its 30

Step-by-step explanation:

Answer:

Step-by-step explanation:

(25) [tex]x^2 + 24x + c[/tex]

24÷2 = 12

∴ [tex]x^2 + 12x + 12x + c[/tex]

Now, 12 x 12 = 144

∴ [tex]x^2 + 12x +12x + 144[/tex]

--> [tex]x^2 + 24x + 144[/tex]

Hope you understood 25!

Answer:

301.6

Step-by-step explanation:

area of circle is pi*r^2

pi*14^2

196pi

pi*10^2

100pi

196pi-100pi=96pi

= around 301.6

Answer:

B- 44%

Step-by-step explanation:

original - new / original

50-22/50

28/50

0.44

0.44 as a percent is 44

Answer:

= 44%

Step-by-step explanation:

50 - 28 = 22

22/50 = 0.44%

0.44 * 100 = 44%

Answer:

Step-by-step explanation:

y=0.1x+10,

slope can be made into a fraction 1/10

slope :1/10

y intercept :=10

draw  the graph with the y intercept (0,10)

slope is defines as y movements/ x movements

move one up from (0,10)

and 10 to the right since it is positive making the next point you can plot (10,11)

you can check if this is correct by plugging x and y in

11=0.1(10)+10,

.1x10=1

11=1+10,

1+10 =11

11=11

do the same to the other side

move down 1 from (0,10) and move 10 to the left

next plot will be (-10,9)

you can check by pluging in x and y

9=0.1(-10)+10,

-10x.1=-1

9=-1+10,

-1+10=9

9=9

Now that you have the points you can draw the line and connect them

Hope this helps

Answer:

Step-by-step explanation:

4/12

First off, this can be reduced since both the

numerator and denominator are divisible by 4

4/12 = (4(1))/(4(3)) = 1/3

Any fraction equivalent to 1/3 will be equivalent to 4/12

... And, of course, 1/3 is equivalent to 4/12 ...

Any number or fraction does not change in value if

multiplied by 1.  This means you can take your 1/3

or 4/12 and multiply it by any fraction equivalent to

1 and have an equivalent fraction..

Also note that any number divided by itself equals 1

so  a/a = 1 for any given value a except a≠0

(1/3)(2/2) = 2/6

(1/3)(3/3) = 3/9

(1/3)(-2/-2) = -2/-6 = 2/6

(1/3)(4/4) = 4/12   as we know since this is the original fraction

(1/3)(5/5) = 5/15

....

....

1/3, 2/6 , 3/9, 5/15, 6/18, 7/21, ....

There are infinite equivalent fractions to 4/12.

Answer:

95 * 5

Step-by-step explanation:

we know, a² - b² = (a + b) (a - b)
So, we can rewrite 50² - 45² using the above equation
as (50 + 45)(50-45)
which is, 95 * 5 [Your product]
= 475

Answer: 475

Step-by-step explanation:

Using identity: [tex]a^2 - b^2[/tex] = (a+b)(a-b)

--> (50+45)(50-45)

= 95 x 5

= 475

Answer: Negative numbers

Step-by-step explanation:

Answer:

Negative numbers

Step-by-step explanation:

[tex]\cos(\theta+60^{\circ})=\cos \theta \cos 60^{\circ}-\sin \theta \sin 60^{\circ} \\ \\ =\frac{1}{2}\cos \theta-\frac{\sqrt{3}}{2}\sin \theta \\ \\ \therefore a=-\frac{\sqrt{3}}{2}, b=\frac{1}{2}[/tex]

Answer: 3.6

Step-by-step explanation: the answer is 3.6 because when you do 5.845 to the nearest one you get 6 and when you round 0.56 to the nearest tenth you get 0.6 so in all, that's how I got my answer.

(Pls mark me brainliest tysm!)

Answer:

4 and 5. Step-by-step explanation: between hours 4 and 5 there is 2 inches of rain which is the highest rain

Translating the figure involves chaging the position of the figure

The coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)

The coordinates of the new figure

The coordinates are given as:

(−3, 2), (−4, 1), and (−1, −5)

The rule of translation 3 units right and 5 units up is:

(x + 3, y + 5)

So, we have:

(−3 + 3, 2 + 5), (−4 + 3 , 1 + 5), and (−1 + 3, −5 + 5)

Evaluate the sum

(0, 7), (-1 , 6), and (2, 0)

Hence, the coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)

Answer: D 1,004.5

Multiply all the numbers together

The decimal form of 8 1/5 is 8.2 so if you are not entirely sure of  the decimals forms you can search or just find out

Answer:

259.2 Inches.

Step-by-step explanation:

30*12/5 for one side(length), Multiply by two for the perimeter.

24*12/5 for the width, Multiply by two for the perimeter

144+115.2 = 259.2

Coolish

Answer:

18in

Step-by-step explanation:

Answer: (2,-6)

Step-by-step explanation:

Answer: hope this helps ♡

The coordinates of S' are (2,-6).

Step-by-step explanation:

S = (6,2)

S rotated 90° = (-2,6)

S rotated 90° = (-6,-2)

S rotated 90° = (2,-6)

Answer:

A

Step-by-step explanation:

If you look, its the only one thats near the -5

Answer:

Point S (Sorry if I'm wrong!)

Answer:

see attached

Step-by-step explanation:

Answer:

see graph below

Step-by-step explanation:

y = 3x

We can plot two points on the graph and then make the line.

Let x = 0

y = 3

(0,0)

Let x = 1

y = 3*1 = 3

(1,3)

Answer:

60+4.5pi

Step-by-step explanation:

First find the area of the rectangle alone which is l*w

so 6*10 is 60,

then, you find the area of the semicircle which is 1/2pir^2

so 1/2(pi)(3^2) = 4.5pi

the radius is 3 because its 6/2

then you add it together which is 60+4.5pi

Answer:

Step-by-step explanation:

A of rect. + A of semicircle = Area of the figure

lb + [tex]\frac{\pi r^2}{2}[/tex]

Length of rectangle = 6

Breadth of rectangle = 10

Diameter of semicircle = 6

Radius of semicircle = 3

∴ (6x10) + [tex](\frac{22}{7}[/tex]x[tex]3^2[/tex] x[tex]\frac{1}{2}[/tex])

= 60 + [tex]\frac{99}{7}[/tex]

= 74.14 cm sq

Round off to nearest tenths place = 70 cm sq

Hope this helps. Pls mark the BRAINLIEST!

Move up one and right one and one-half.

Move up one and one-half and right three.

Move up two and right three.

Move up one and right two


It would be the 4th one

It would be D, Move up one, and right two. *

Answer:

D option

Step-by-step explanation:

Move up and right two

Because according to the pattern before, (2, 1) is one up and two right to (1, 0.5)

Similarly, for equivalent ratio, we'll apply the same pattern.

Hope it helps. Pls mark it the BRAINLIEST!

Answer:

16w + 40

Step-by-step explanation:

4(w + 4) + 6(4 + 2w) -> given

4w + 16 + 24 + 12w -> distributive property

16w + 40 -> combine like terms

answer choice a: 16w + 40 = 16w + 40

Answer:

Fraces 40.2

Step-by-step explanation:

The person between 39.6 and 42.4 cannot make the team.

So, as 40.2 is coming in between 39.6 and 42.4, Frances cannot make the team.

Hope this helps. Pls mark it as the BRAINLIEST!

Answer:

469.1

Step-by-step explanation:

first find parallelogram area and then 1/2 circle area

parallelogram area=lh

area=12*26

area=312

area of circle=pi*r^2

r=20/2=10

pi*10^2

100pi for full circle

100pi/2=50pi=half circle

50pi=157.1

157.1+312=469.1

Note that [tex]\cos a=\frac{4}{5}[/tex]. Since [tex]-\pi<a<0[/tex], [tex)\sin \alpha<0[/tex]. So, by the Pythagorean theorem, [tex]\sin \alpha=-\frac{3}{5}[/tex].

[tex]c=\cos \left(a+\frac{\pi}{6} \right) \\ \\ c=\cos a \cos \frac{\pi}{6}-\sin a \sin \frac{\pi}{6} \\ \\ c=\frac{4}{5} \cdot \frac{\sqrt{3}}{2}+\frac{3}{5} \cdot \frac{1}{2} \\ \\ c=\frac{4\sqrt{3}+3}{10} \\ \\ \therefore 10c=4\sqrt{3}+3[/tex]

Note that [tex]\cos b=\frac{4}{5}[/tex] and that [tex]0<b<\pi[/tex], meaning [tex]\sin b>0[/tex]. So, by the Pythagorean identity, [tex]\sin b=\frac{3}{5}[/tex].

[tex]d=\cos \left(b+\frac{\pi}{6} \right) \\ \\ d=\cos b \cos \frac{\pi}{6}-\sin b \sin \frac{\pi}{6} \\ \\ d=\frac{4}{5} \cdot \frac{\sqrt{3}}{2}-\frac{3}{5} \cdot \frac{1}{2} \\ \\ d=\frac{4\sqrt{3}-3}{10} \\ \\ \therefore 10d=4\sqrt{3}-3[/tex]

Answer:

The surface area of a cylinder with radius "r" and height "h" is given by: 2πrh + 2πr^2.

So, for the given cylinder, the surface area can be calculated as:

surface area = 2 * π * 3^2 * 7 + 2 * π * 3 * 7

= 2 * π * 9 * 7 + 2 * π * 3 * 7

= 126π + 42π

= 168π

Rounding the answer to the nearest tenth, the surface area of the cylinder is approximately 527.1 square feet.

Answer:

it is 11x+25x=180

Step-by-step explanation:

the sum of the angles  of a triangle is 180

so, 11x+25x+9x=180

.11x+34x=180 true

34x=25x+9x

.36x+9x=180 true

36x=11x+25x

.11x+25x+9x=180 true

.11x+25x=180 false because the angle at F hasn't been added to the equation.

Answer:

Step-by-step explanation:bbbb

Answer: undetermined

Step-by-step explanation: in order to find volume you need 3 dimensions the x y and z, you only have x and y no z so it’s a 2d object. If the width is also 13ft then 13x13x4.5= 760.5ft^3

Answer:

In order to find the volume you need 3 dimensions the x y and z, you only have x and y no z so it’s a 2d object. If the width is also 13ft then 13x13x4.5= 760.5ft^3

Step-by-step explanation: