Similar triangles assignment

Answer:

Q7) ( 2,-2)

Q8) (- 0.5 , -2)

Step-by-step explanation:

As we have to find the mid-points of the line segments, the line segments will be divided in same ratio i.e. 1:1 (∵ A Mid-point divides a line segment into equal parts )

According to Section formula ,

[tex]( x' , y') = (\frac{mx^2 + nx^1}{m+n} , \frac{my^2+ny^1}{m+n} )[/tex]

where (m,n) are the ratios in which a line segment is divided & ( x¹ , y¹ ) ( x², y²) are the co-ordinates of a line segment.

In Q7 ,

x¹ = 3 , y¹ = -9 , x² = 1 , y² = 5 & m = n = 1

So putting the section formula here gives :-

[tex]( x' , y') = (\frac{1*1 + 1*3}{1+1} , \frac{1*5+1*(-9)}{1+1} ) = ( 2 , -2)[/tex]

In Q8 ,

x¹ = 5 , y¹ = -1 , x² = -6 , y² = -3

So putting the section formula here gives :-

[tex](x' , y') = (\frac{1*(-6) + 1*5}{1+1} , \frac{1*(-3) + 1*(-1)}{1+1}) = ( -0.5 , -2)[/tex]

Answer:

Substitute (x+4)2−16 ( x + 4 ) 2 - 16 for x2+8x x 2 + 8 x in the equation x2+y2+8x−6y=24 x 2 + y 2 + 8 x - 6 y = 24 . (x+4)2−16+y2−6y=24 ( x + 4 ) 2 - 16 + y 2 ...

Step-by-step explanation:

Answer:

your answer would be C

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

0.6 repeating as a fraction is 2/3

Answer:

The answer is 2/3 or

Step-by-step explanation:

[tex]\frac{2}{3}[/tex]

Answer:

(0,-1)

Step-by-step explanation:

Answer:

8.33333333333%

Step-by-step explanation:

50/6

Answer:

12%

Step-by-step explanation:

Answer:

3 and 6       5and 4

Step-by-step explanation:

Answer:

10.8

Step-by-step explanation:

6% of 180 is 10.8

Answer:15

I know Bc I got it wrong that was the answer

Answer:

Distance=Speed×Time

When speed is 40 kmph

Distance traveled by car =40×9

=360 km

When speed is 60 kmph

Time taken to complete the journey =

60

360

=6 hours

Answer:

-24x²

Step-by-step explanation:

remove the parentheses, multiply the numbers, apply exponent rule and add the numbers

Answer:

3.75jgfbvuekdfb

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

By order of PEMDAS, perform math within parentheses first.

[tex](28 - 19) \div 3[/tex]

Continue with PEMDAS

[tex](9) \div 3[/tex]

Now, simply divide

[tex]9 \div 3 = 3[/tex]

Answer:

Standard form:

3x − 24 = 0

Factorization:

3(x − 8) = 0

Solutions:

x = 24

3

= 8

Step-by-step explanation:

Hope this helps? :))

[tex]\large\tt Step-by-step~explanation:[/tex]

To solve for x, we have to isolate the variable.

[tex]\tt Step~1:[/tex]

First, we distribute 3 to (x - 2) because when there are parentheses with terms inside it next to another term, then we have to multiply them together.

[tex]\tt 3*x=3x\\3*-2=-6\\3x-6=18[/tex]

[tex]\tt Step~2:[/tex]

Next, we add six on the left side of the equation to cancel out - 6. We also add 6 to the right, because we have to do whatever we do on both sides of the equation.

[tex]\tt 3x-6(+6)=18(+6)\\3x=24[/tex]

[tex]\tt Step~3:[/tex]

Finally, we divide both sides by 3 to isolate x and get our answer.

[tex]\tt \frac{3x}{3}=x\\\frac{24}{3}=8\\x=8[/tex]

[tex]\large\boxed{\tt Our~final~answer: ~x=8}[/tex]

Step-by-step explanation:

Q3

(a) If 0 < |x − 1| < δ, then |f(x) − 2| < 2

What this means is, how far can x stray from the x=1 line such that f(x) stays within 2 units of the y=2 line (0 < f(x) < 4).

If we move 2 units left of x=1, we get f(x) = 4.

If we move about 3.5 units right of x=1, we get f(x) = 4.

Therefore, δ can't be more than 2.

(b) If 0 < |x| < δ, then |f(x) − 3| < 1

What this means is, how far can x stray from the x=0 line such that f(x) stays within 1 unit of the y=3 line (2 < f(x) < 4).

If we move 1 unit left of x=0, we get f(x) = 4.

If we move 1 unts right of x=0, we get f(x) = 2.

Therefore, δ can't be more than 1.

Since f(x) isn't continuous within this domain, we can't conclude that the limit exists.

Q4

(a) Yes.  If δ = 0.25, then 0.75 < x < 1.25, and f(x) > 200.

(b) No.  f(1) = 300, so even if δ = 0, f(x) will be less than 400.

(c) Yes.  If δ ≈ 0.1, then 0.9 < x < 1, and f(x) > 450.

Answer: 8, 24, and 24 is greater

Step-by-step explanation:

(-4)(-2) = 8

(-8)(-3) = 24

8 < 24

Step-by-step explanation:

He grew 65cm a year??? Omg

I think it is

65cm x 4(years)= 260cm

150.25 + 260= 410.25cm

So, when he was 15 years old he was 410.25cm tall

h=A 6/b or 6 divided b = h

Answer:

x=7

Step-by-step explanation:

because u add the like terms so

3x+2x

which would be

5× so now its

5x+5=12+4x

-4. -4

x+5=12

-5. -5

x=7

Answer:

7/8 - 5/8 = 2/8. Therefore the answer is 1 2/8.

Step-by-step explanation:

Answer: 1 2/8

Step-by-step explanation:

you take away 5 from seven so it becomes 2 then you put the 8 under and you still keep the one there

Answer:

100

Step-by-step explanation:

cause they its 100

Answer:

14 feet

Step-by-step explanation:

Use the square area formula, A = s², where s is the side length

Plug in the area and solve for s:

A = s²

200 = s²

14 = s

So, each side of the patio is 14 feet

Answer:

Step-by-step explanation:

x = 4

3x^2

3(4)^2

3(16)= 48

Answer:

true

Step-by-step explanation:

The given statement AB+BC=AC, then AB=BC​ is false for the line segment.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

If AC is the line segment and B is in between AC  somewhere then the given statement AB+BC=AC, then AB=BC​ is not necessarily true.

As the two diagrams below;

Diagram 01) →

Here B is the midpoint of  AC so AB = BC

Diagram 02) →

Here B is not the midpoint of AC so AB ≠ BC

Hence "The given statement AB+BC=AC, then AB=BC​ is false for the line segment".

For more about line segment,

https://brainly.com/question/25727583

#SPJ2

Answer:

YOU will be 38 yrs old, but I will be 29 years older than my 29 year-younger self

Step-by-step explanation:

Answer:

you would be 38

Step-by-step explanation:

29 plus 9 equals 38

Answer:

x1+x2/2

7+11/2

18/2=9

Step-by-step explanation:

The midpoint of segment DE is 9 units.

It is required to find the midpoint of segment DE.

The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Given:

By mid point formula we get,

The midpoint formula is applied when one is required to find the exact center point between two defined points.

The coordinate of point D is 7 units.

The coordinate of point E is  11 units.

According to given question we have,

The midpoint of segment DE

[tex]=\frac{x_{1} +x_{2} }{2} \\=(7+11)/2\\\\=18/2\\\\=9[/tex]

Therefore , the midpoint of segment DE is 9 units.

Learn more details about midpoint here:

https://brainly.com/question/28224145

#SPJ2

Answer:

[tex]8\frac{-2x}{-2}=\frac{0}{-2}[/tex]

Step-by-step explanation:

[tex]\left(2a^3b^4c^0\right)^3[/tex]

Cube each portion:

[tex]2^3\left(a^3\right)^3\left(b^4\right)^3\left(c^0\right)^3[/tex]

[tex]8\left(a^3\right)^3\left(b^4\right)^3\left(c^0\right)^3[/tex]

[tex]8a^9\left(b^4\right)^3\left(c^0\right)^3[/tex]

[tex]8a^9b^{12}\left(c^0\right)^3[/tex]

[tex]8a^9b^{12}\times1[/tex]

[tex]8a^9b^{12}[/tex]

Answer: The answer is D 2,6000.00

Answer:

D

Step-by-step explanation: