Triangle DEF is a scale drawing of triangle ABC.
What is the scale factor?

Answer:

D.

Step-by-step explanation:

An excluded value often comes from a zero in the denominator.

Set each denominator equal to zero creating an equation in x. If there is a solution to the equation, then there are excluded values. If the equation has no solution, then there are no excluded values.

A.

2x^2 = 0

x = 0

excluded value

B.

3x + 3 = 0

3x = -3

x = -1

excluded value

C.

x² - 7 = 0

x² = 7

x = √7 or x = -√7

excluded values

D.

-x² - 5 = 0

x² = -5

x = √(-5) or x = -√(-5)

There is no real solution for x.

no excluded values

Answer: D

Step-by-step explanation:

Root of the function, where y = 0

f(x) = x² + 2x - 1

0 = x² + 2x - 1

x² + 2x - 1 = 0

x² + 2x = 1

x² + 2x + 1 = 1 + 1

(x + 1)² = 2

x + 1 = ±√2

x = -1 ± √2

Roots → x = -1 ± √2

Answer:

Step-by-step explanation:

I know it might not help but try searching demos scientific calculator and all you have to do is enter the formula

Answer:

the length of the magnet is 5cm

Step-by-step explanation:

first convert the feet into inches: 2ft 6in=30in, 1ft 9in=21in

then convert inches into centimeters (times by 2.5): 30*2.5=75cm 21*2.5=52.5

then divide 52.5 by 3.5 to get a proportion: 52.5/3.5=15

then divide 75 by 15: 75/15=5cm

Answer:

y - 6 = 1/4(x - 4).

Step-by-step explanation:

The slope m = (7-6)/(8-4) = 1/4

y - y1 = m(x - x1)

Using the point (4, 6)

y - 6 = 1/4(x - 4)  (answer)

The equation of line passes through the points (4, 6) and (8, 7) will be;

⇒ y = 1/4x + 5

What is Equation of line?

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, 6) and (8, 7).

Now,

Since, The equation of line passes through the points (4, 6) and (8, 7) .

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

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (7 - 6) / (8 - 4)

m = 1 / 4

m = 1/4

Thus, The equation of line with slope 1/4 is,

⇒ y - 6 = 1/4 (x - 4)

⇒ 4 (y - 6) = x - 4

⇒ 4y - 24 = x - 4

⇒ 4y = x - 4 + 24

⇒ 4y = x + 20

⇒ y = 1/4x + 5

Therefore, The equation of line passes through the points (4, 6) and

(8, 7) will be;

⇒ y = 1/4x + 5

Learn more about the equation of line visit:

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Answer:

a) 92 m

b) 74 cm

Step-by-step explanation:

a)

2(length) + 2(width) = perimeter

2(x) + 2(73) = 330 m

2x + 146 = 330

2x = 184

x = 92 m

b)

length * width = area

85 * x = 6290 cm²

85x = 6290

x = 74 cm

Answer:

x = 4

Step-by-step explanation:

Whenever it asks for the equation of a vertical line all you have to do is look at the x point given to you which is 4 and make x = 4, doing this means that this certain vertical line covers all possible y values which includes -9 as well which is why the answer is x=4

Answer:

0 < x < 1/3

Step-by-step explanation:

Hello! The answer I provided is correct, you know this because any value you can use for X that is in between 0 and 1/3 would make the inequality true.

Answer:

a = 21

Step-by-step explanation:

Based on the information given, we can calculate that

WZ x 3 = a

so...

7 x 3 = 21

Hope that helped!! :)

Answer:

I think it is 21 since the relationship between 4 and 12 4 * 3 is equal to 12 so I did the same for each side but angles don't change so 7*3=21

Incase you didn't get the notification on your other post.

Answer:

It's D)

C is incorrect because the constant is + 1, not - 8

A is incorrect because the f doesn't go up by 2 for every x value

B is incorrect because 2/3 * 2 would be 4/3 which is 1 1/3, which is wrong because g goes up by 2 every x.

D is correct because f goes up by 1/3, and the y-intercept is 1 (Where the line meets when the x-axis is 0) and 1/3 * 6x is 6x/3 which is 2x, then add the y-intercept to the equation, which should be 2x + 1

Step-by-step explanation:

you work with it like with regular equations :

-9 <= 5 + 2x <= -5

-14 <= 2x <= -10

-7 <= x <= -5

Answer:

Step-by-step explanation:

Find the area to be painted:

a) Paint needed:

b) Cost of paint:

Answer:

12.78

Step-by-step explanation:

because i said so

The type of sampling method in which a sample frame is divided into groups, which are highly similar to the other

According to the given question, we are asked to show the name which is given to the type of sampling method in which a sample frame is divided into groups, which are highly similar to the other.

As a result of  this, when a sample frame is divided into groups which are very similar to each other, then this is a simple random sampling.

In this method, we can see that there are different types of random sampling techniques which includes:

Therefore, the correct answer is Simple random sampling.

Read more here:

https://brainly.com/question/17019103

Answer:

690

Step-by-step explanation:

0.69 x 10^3=

0.69 x 1000=

690

Answer:

Step-by-step explanation:

0.69*1000= 690

Answer: 5=rl

Step-by-step explanation:

Answer:

U can download apps to help u hope you find your answer

Answer:

1,000

Step-by-step explanation:

Answer:

Blue costs 2.875 or 2.88 if rounded, Red costs 3.875 or 3.88 if rounded

Step-by-step explanation:

Answer/Explanation:

I agree with the statement because primary function of chemical nomenclature is to ensure that a spoken or written chemical name leaves no ambiguity concerning which chemical compound the name refers to: each chemical name should refer to a single substance.  The first separation of importance is to distinguish between inorganic and organic compounds.

Answer:

x = 17

Step-by-step explanation:

The two given angles are supplementary angles, but also all angles on a straight light must add up to 180°:

3x + 14 + 7x - 4 = 180

Add like terms

3x + 7x + 14 - 4 = 180

10x + 10 = 180

Subtract 10 from both sides to isolate 10x:

10x + 10 - 10 = 180 - 10

10x = 170

Divide both sides by 10:

10x ÷ 10 = 170 ÷ 10

x = 17

Hope this helps!

Answer:

The slope of the line is 1

Step-by-step explanation:

I picked two points on the line: (0,3) and (-3,0). Then, I used the formula for slope which is the change in y over the change in x and got the answer 1.

Answer:

Step-by-step explanation:

The easiest way to answer your question is to graph it. I've enclosed a graph for you. The answer to the  question as it is asked is y ≥ 2.

The answer to your question (which is a much more interesting question) is that there is no 0. A zero of a function must touch or intersect the x axis.

Answer:110

Step-by-step explanation:

24.2/x = 22/100

Where x is the number we are looking for

cross multiply

24.2*100 = 2420

22*x=22x

22x=2420

22x/22=2420/22

x= 110

so 24.2 is 22% of 110

Answer:

If 22% × 110 = 24.2 => Divide 24.2 by 110And see if we get as a result: 22% Note: Multiply a number by the fraction 100/100, and its value doesn't change.

Step-by-step explanation:

If 22% × 110 = 24.2 => Divide 24.2 by 110And see if we get as a result: 22% Note: Multiply a number by the fraction 100/100, and its value doesn't change Multiply a number by the fraction 100/100, and its value doesn't change.

answer :243

this should be helpful

let Length=l

therefore breadth=l-2

A/Q

P=24

2(l+b)=24

2(l+l-2)=24

2(2l-2)=24

4l-4=24

4l=28

l=28/4

=7

The number of trees calamansi have is 488 trees. The number of tree pomelo trees have in Jacintos farm is 305 trees

From the given information, we learnt that:

The ratio of the calamansi and  pomelo trees in Jacintos farm  = 8:5

If the total number of the ratio = 8 + 5 = 13

The proportion of the calamansi can be estimated as:

= (8/13) × 793

= 488 trees

The proportion of pomelo trees is:

= (5/13) × 793

= 305 trees

Therefore, we can conclude that the number of trees calamansi have is 488 trees and the number of tree pomelo trees have in Jacintos farm is 305 trees.

Learn more about ratio here:

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There are  488 calamansi trees

There are 305 jacintos trees

Let x represent the number of calamansi trees

Let y represent the number of Pomelo trees

8 +5= 13

793/13

= 61

8(61)= 488

5(61)= 305

Hence there are 488 calamansi trees and 305 jacintos trees

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Answer:

The dimensions can be 6 inches by 10 inches

Answer:

x = 20

Step-by-step explanation:

these 3 angles form a straight line, which is 180°

3x + 80 + 2x = 180

5x + 80 = 180

5x = 100

x = 20

1st ∡ = 3(20) or 60°

3rd ∡ = 2(20) or 40°

Answer:

20

step by step explanation:

this angle is an angle on a straight line; which means, it is 180 degrees.. so :-

2x + 3x + 80 = 180 ( sum of the angles on a straight line is 180 ) < this is the theorum that has to be written

5x + 80 = 180n it became 5x coz u have to add the like terms

5x = 180 - 80 u have to subject the 5x

5x ÷ 5 = 100 ÷5 u need to cancel the 5... so since 5 is multiplied to X , to cancel it we need to divide it

x = 20

2x = 40 (20 × 2)

3x = 60 (20×3)

hope this helps ☆☆☆

Answer:

(0,5)

Step-by-step explanation:

x + 4y = 20

4y = -x + 20

y = -1/4x + 5

The y - intercept of the line is 5

(0,5)

-Chetan K

Answer:

25

Step-by-step explanation:

124% = 31

1% = 0.25

100% = 25 biscuits

...YUMMY!

Answer:

24

Step-by-step explanation: