Inductive reasoning is based on
definitions.
facts.
patterns.
rules.

Answer:

D = 8

Step-by-step explanation:

[tex]d= \sqrt{(5-(-3))^2+(-1-(-1))^2} \\d= \sqrt{(8)^2+(0)^2} \\d= \sqrt{64+0} \\d= \sqrt{64} \\d= 8[/tex]

(6g^4h^5)^2. We have to square each term individually. Remember, squaring an exponent is just multiplying the exponents together.

6^2 = 36

(g^4)^2 = g^8

(h^5)^2= h^10

The final answer: 36g^8h^10

Answer: 7

Step-by-step explanation: First you subtract 5 from both sides to single out the -3x. Then you will have -3x = -21. You will then divide both sides by negative three because you want to single out the x. After that, you will have the answer of x = 7

Answer:

x = 7

Step-by-step explanation:

-3x+5=-16

    -5  -5

-3x=-21

-3x/3 = -21/-3

x=7

Answer:

Step-by-step explanation:

x + 9 = -16

Subtract 9 form both sides

x + 9 - 9 = - 16 - 9

x = -25

Answer:

X= -25

Step-by-step explanation:

Subtract 9 from both sides.

The domain is the x-axis and the range is the y-axis.

To find the domain, you measure or count the widest part of this oval horizontally. So that is 3 units to the right of 0 and 3 units to the left of 0. I counted it exactly on the axis because that is the widest part of the oval.

To find the range, you again count or measure the widest part of the oval vertically. So that is 4 units above 0 and 4 units below 0.

Final Answer

D: -3 ≤ x ≤ 3

R: -4 ≤ x ≤4

Step-by-step explanation:

By Pythagoras' Theorem, z^2 + (2.7)^2 = (4.2)^2.

This means that z^2 = (4.2)^2 - (2.7)^2 = 10.35.

So z = 3.2 (1 d.p.)

Step-by-step explanation:

x=4.2

y=2.7

z=x

(×+y=×

(4.2+2.7=×)

×=6.9

Answer:

[tex]\sqrt{35}[/tex]

Step-by-step explanation:

h =-19

j =16

[tex]\sqrt{j-h} = ?[/tex]

Substitute values into the given equation

[tex]\sqrt{16-(-19)} \\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=\sqrt{16+19}\\\\\mathrm{Add\:the\:numbers:}\:16+19=35\\\\=\sqrt{35}[/tex]

Answer:

y = 28 - b

Step-by-step explanation:

you can find the number of yellow butterflies, y, by subtracting the number of blue butterflies, b, from the total number of butterflies which is 28.

Answer:

Step-by-step explanation:

-3x + y = 22     ⇒  y = 3x + 22

-12x - 10y = -10  and  y = 3x + 22

-12x - 10(3x + 22) = -10

-12x - 30x - 220 = -10

               +220       +220

 - 42x  = 210  

 ÷(-42)     ÷(-42)

    x = -5

y = 3(-5) + 22 = -15 + 22 = 7

Answer:

Domain is All Real x.

Range is f(x) ≥ 2.

Step-by-step explanation:

The vertical lines about the x - 1 means the Absolute value ( always positive).

|x - 1| will always be positive or 0 and it's graph is  shaped like a V with the vertex at (1, 0)

The + 2 will move the graph up 2 units so the vertex becomes (1, 2).

Answer:

B) (4,11)

Step-by-step explanation:

Plot the points and count how far point A is to the midpoint.The rise is 7 and run is 3 so count 3 right and 7 up from point AB to get B.

Answer:

∠B = 82°

Step-by-step explanation:

(see attached for reference)

recall the property that an exterior angle of a triangle is equal to the sum of its two remote interior angles.

in our case, the exterior angle is obtuse ∠A = 143°

the two remote interior angles are ∠C and ∠B

hence according to our definition above:

143° = ∠C + ∠B  (we are given that ∠C =61°)

hence

143° = 61° + ∠B

143° - 61° =  ∠B

∠B = 82°

Answer:

x=7

Step-by-step explanation:

16x-8x-12= 24+20

(16x-8x)-12= 24 +20

8x - 12= 24 +20

8x = 24+ 20 + 12

8x = 54

x = 54/8

x= 7

Answer:

x=7

Step-by-step explanation:

1. combine like terms

2. isolate x

3. divide by 8 to get x

Answer:

-3(4a+3)+4(6x+1)

12a+(-9)+24x+5

12a-4+24x

Step-by-step explanation:

Because you can't add 12a & 24x bc they're different variables ( a & x ) & -9+5 you always minus it and it's going to be a negative because -9 is bigger than 5

Step-by-step explanation:

if if you put x equals to -5

it becomes -(-5)^2 which is equal to -25

Answer:

-25

Step-by-step explanation:

1) The equation is -(-5)^2

2) When you square a negative number, it will be a positive

3) So in this equation it would be -(25)

4) However, there's another negative sign in front.

5) So the answer therefore is -25

Hope this helps!

Answer:

2

Step-by-step explanation:

1+3(x-1)-2x

Substitute the value of x into the equation:

1 + 3(4-1) -2 (4)

1 + 3(3)- 8

1 + 9 - 8

2

Answer:

N=7

Step-by-step explanation:

1. Distribute the 6 into the parentheses

6+30n-6n=174

2.combine like terms

6+24n=174

3. Subtract 6 on both sides

24n=168

4.now divide

24/24 cancels out 24/168 is what 7 soooo

n=7

Answer:

a) FC ←→ and BD ←→ are distinct lines that intersect.

b) B , C and D are distinct points that are collinear.

c) Another name for plane [tex]X[/tex] is plane AEF.

d) E , A , F and C are distinct points that are coplanar.  

Step-by-step explanation:

The first step to solve this question is to look carefully at the picture.

For a) :

We can see that the line FC and the line BD intersect at the point C.

We can write :

a) FC ←→ and BD ←→ are distinct lines that intersect (we can see more lines that intersect with FC ←→ in the picture such as AC ←→  or AE ←→).

For b) :

We can see that the line BD ←→ passes through the points B , C and D (B , C and D are collinear points).  

We can write :

b) B , C and D are distinct points that are collinear.

For c) :

We can name any plane using three points which are contain in the plane but this three points must not be collinear points.

We can name the plane [tex]X[/tex] using the points A , E and F (this is a possible solution).

We can write :

c) Another name for plane [tex]X[/tex] is plane AEF.

Finally, for d) :

Two or more points are coplanar wherever they belong to the same plane.

In the picture, the points A , E , F and C belong to the plane [tex]X[/tex].

We can write :

d) E , A , F and C are distinct points that are coplanar.

Answer:

u+xy=18+(-10)8

=18-80

= -62

f(1)= 5(1)-1

f(1)= 5-1

f(1)= 4

Answer: 4

The equivalent fractions for 2/3 are 6/9, 10/15, and 12/18 because multiplicative identity is a feature of multiplication that is used to determine equivalent fractions.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

2/3 by multiplying by 3/3, 5/5, and 6/6.

= (2/3)(3/3)

= 6/9

= (2/3)(5/5)

= 10/15

= (2/3)(6/6)

= 12/18

The multiplicative identity is a feature of multiplication that is used to determine equivalent fractions.

The numerator and denominator of a fraction are multiplied by the same number for determining equivalent fractions.

Thus, the equivalent fractions for 2/3 are 6/9, 10/15, and 12/18 because multiplicative identity is a feature of multiplication that is used to determine equivalent fractions.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:

2x - 5 - x²

Step-by-step explanation:

note (f - g)(x) = f(x) - g(x), thus

f(x) - g(x)

= 2x - 5 - x²

Answer: 10 I think

Step-by-step explanation: Jill sold half and you dont know how much it is you know that now she has 36, but before she bought 16 so 36 - 16 = 20 but she sold half

Answer:10 magazines

Step-by-step explanation:

36-16/2=m

20/2=m

10=m. m=magazine

Answer:

m = [tex]\frac{k}{q^2}[/tex]

Step-by-step explanation:

Given m varies inversely as q² then the equation relating them is

m = [tex]\frac{k}{q^2}[/tex] ← k is the constant of variation

Since A is the midpoint of BC, we can assume BA and AC are equal to each other.

We also know that BC = BA + AC = 23 + 23 = 46

Answer:

True.

Step-by-step explanation: If you substitute the solution into the original equation, it is the only number that will make the equation balanced or have an equal value on both sides of the equals sign.