Similar figures review 2

The equation of line shown in figure is,

⇒ y = x - 4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (4, 0) and (0, -4).

Now,

Since, The equation of line passes through the points (4, 0) and (0, -4).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 4 - 0) / (0 - 4)

m = - 4 / -4

m = 1

Thus, The equation of line with slope 1 is,

⇒ y - 0 = 1 (x - 4)

⇒ y = x - 4

Therefore, The equation of line is,

⇒ y = x - 4

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Answer: D) √116 units

Step-by-step explanation:

√(4^2 + 10^2) = 10.770
√116 = 10.770

Answer:

Step-by-step explanation:

Wilson-70%, artholdi-90%, jonhson-70%, Garcia-60%, o'malley-90%

round each of them to the nearest whole percentage (nearest whole number).

Answer:

(n-2)2 is in the formula (a-b)2 = a2- 2ab + b2

correct it by writing (n-2)2 = (n2 - 2(n)(2) + 2 raise 2)

Answer:

-2 * -2 = 4, but Maryam put -4 instead.

Answer:

(A) 4.6 + (–5.9)

-1.3

(B) –4.4 + 6.2

1.8

(C) 2.1 + 0.5

2.6

(D) –3.8 + (–1.3)

-5.1

Answer: (1, 2)

which means

x = 1

y = 2

Step-by-step explanation:

y = -x + 3

y = 2x

Because both equations are set equal to y, they can be set equal to each other. The equations are ready to go to use Substitution method.

Substitute.

-x + 3 = 2x

Add x to both sides.

3 = 3x

Divide by 3.

3/3 = x

1 = x

We can put the 1 in for x in either equation.

y = 2x

y = 2(1)

y = 2

Putting x for 1 into the other equation is a good check.

y = -x + 3

y = -1 + 3

y = 2

So the x and y that work in both of these equations is:

x = 1 and y = 2

The form that was asked for was ( , ).

So the answer is

(1, 2).

Answer: 1, 2

Step-by-step explanation:

Answer : 1+1=2

Step-by-step explanation

1inch snow in am plus 1in snow in pm equals a total of 2in snow for that day.

Answer:

6ft

Step-by-step explanation:

First you figure out 7/3 which is 2.3333333...

then do 14/2.33333333...

Answer:

Step-by-step explanation:

then you find the lcm of 7, multiple by 6^999 and divide by 4. Take your remainder and multiply by 3/4, then take your product and take it to the 6th power.

So if theres 45 students in total, thats 100% of students, nine of those would be 20%

Answer:

Step-by-step explanation:

105, 275, 315, 420, 945, 760

Hope this works

Answer:Part a) 3.5 weeks

Part b) 185 tickets

Step-by-step explanation:

Answer:

Proportional

Step-by-step explanation:

The relationship is proportional because starting at (0,0) there's a constant rate between the number of plants and the number of roses. We can represent this proportional relationship as y=5x where k=5, the constant of proportionality.

The answer is 15

12 + 3 = 15

Answer:No matter what, the wind doesn't go to the volcanic areas.

Step-by-step explanation: notice that no matter what time, the wind never goes near the volcanoes. thats because the heat is pushing it away.

Answer:The mean goes up from approximately 80.4 to 82.

Step-by-step explanation:

Before adding 101°, the mean i2:

(58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57)/12 = 80.4

After adding the value 101°, the mean is:

(58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57 + 101)/13 = 82

The mean goes up from approximately 80.4 to 82.

Answer:

2:3

Step-by-step explanation:

Hallie's Donation : Mattie's Donation = 4:6

simplified, it is 2:3

Answer:

To use mental math and the inverse property of addition to find the sum [5.5+(-2.3)] +(-5.5 + 2.3), you can use the following steps:

Rewrite the expression as [5.5+(-2.3)] +(-5.5) + 2.3.

Use the inverse property of addition to rewrite (-5.5) as 5.5, so the expression becomes [5.5+(-2.3)] +(5.5) + 2.3.

Use the inverse property of addition again to rewrite (-2.3) as 2.3, so the expression becomes [5.5+2.3] +(5.5) + 2.3.

Use the associative property of addition to rearrange the terms in the expression, so it becomes 5.5 + 2.3 + 5.5 + 2.3.

Use mental math to add the terms, which gives you a result of 15.8.

Therefore, the sum of [5.5+(-2.3)] +(-5.5 + 2.3) is 15.8.

Step-by-step explanation:

Answer:

Maybe C because 0 is equal to 0 and 2 is equal to 8 so they are multiplying each number by 4

Answer: d

Step-by-step explanation:

it’s common sense add the 1 take ur cat to dinner and lake house horse shoe

Answer:

A. {y|−1≤ y ≤ 3}

Step-by-step explanation:

because

Answer:

Step-by-step explanation:344

Answer:344

Step-by-step explanation:

Answer: The correct answer would be

D. an = 4.2n-1

Step-by-step explanation: First, calculate the ratios between each term and the one that precedes it.

8/4=2 ....16/8=2...32/16= 2...

Upon comparing the ratios we see the ratio between each term and the one that precedes it is 2 for all the terms, the sequence is geometric, and the common ratio is r = 2.

Now, we simply need to find the other unknown values in the equation, a1= the first term of the sequence which is 4, Therefore a1=4

Looking at the options provided we see that no further missing quantity can further be found so we put this in the equation provided for a geometric sequence.

We get 4. 2n-1, which is our answer.

The number of solution the equation 4x - 5 (2x + 1) = 6x + 1 have is one.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

4x - 5 (2x + 1) = 6x + 1

4x - 10x - 5 = 6x + 1

-6x - 5 = 6x + 1

-5 - 1 = 6x + 6x

-6 = 12x

x = -6/12

x = -1/2

This means,

The equation has one solution.

Thus,

The equation has one solution.

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Answer:

Step-by-step explanation:

area of a circle - formula is πr²

using 3.14 for pi and the problem states the radius is 1.5.

3.14 × 1.5²

3.14  ×  2.25 =

7.065 sq ft.

Answer: Y = 3/8

Step-by-step explanation:

You can either use the rise/run method or subtract 2 points from the line to get the slope. You can do the rise/run method by starting at a point that is on the corner of the square and keep counting how many spaces you have to go until you get to the next even point. This number will be on the bottom, then count up until you get to that even point,this amount of spaces this takes will be on top. Since there are only 2 visible points on this graph,I will use the other method. You can use either the y1-y2/x1-x2 formula or do this

8,3

0,0

8,3  
Remember,the y goes on top! Our slope is 3/8,also since the y intercept is the orgin/0,0 we don't need to add it at the end. I hope this helps and wasn't too complicated!

y =  3/8(x) is the equation that represents the proportional relationship in this graph, for y in terms of x.

In mathematics, two sequences of numbers, frequently experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, known as the coefficient of proportionality or proportionality constant.

If corresponding elements in two sequences have a constant product—also known as the coefficient of proportionality—then the two sequences are inversely proportional.

This definition is frequently broadened to include associated varying amounts, also known as variables.

We can see that when y = 1.5, then x = 4

And when y = 3, x = 8

Putting the value in slope form

y - y1 = m(x - x1)

3 - 1.5 = m(8 - 4)

1.5 = m(4)

m = 1.5/4

m = 3/8

Now simply we put the value in y-intercept form

y - 3 = 3/8(x - 8)

y = 3/8(x) - 3 + 3

y =  3/8(x)

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