What is a transformation in math grade 7?

9514 1404 393

Answer:

  b = -5

  c = -2

Step-by-step explanation:

The explicit form of a sequence with common ratio r and first term a1 is ...

  an = a1(r^(n-1))

Matching the forms, we see that ...

  b is the first term of the sequence: -5.

  c is the common ratio: 10/-5 = -2.

In summary, ...

  b = -5, c = -2

Answer:

The proposition is true.

Step-by-step explanation:

Now we proceed to demostrate that expression given is true by algebraic means:

1) [tex]\frac{x^{-1}+y^{-1}}{x^{-1}}+\frac{x^{-1}-y^{-1} }{y^{-1}}[/tex] Given

2) [tex]\frac{y^{-1}\cdot (x^{-1}+y^{-1})+x^{-1}\cdot (x^{-1}-y^{-1})}{x^{-1}\cdot y^{-1}}[/tex]   [tex]\frac{a}{b} + \frac{c}{d} = \frac{a\cdot d+b\cdot c}{b\cdot d}[/tex]

3) [tex]\frac{x^{-1}\cdot y^{-1}+y^{-2}+x^{-2}-x^{-1}\cdot y^{-1}}{x^{-1}\cdot y^{-1}}[/tex] Distributive property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

4) [tex]\frac{x^{-2}+y^{-2}}{(x\cdot y)^{-1}}[/tex] Commutative, associative and modulative properties/Existence of additive inverse/[tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]

5) [tex][(x\cdot y)^{-1}]^{-1}\cdot (x^{-2}+y^{-2})[/tex] Commutative property/Definition of division

6) [tex](x\cdot y)\cdot (x^{-2}+y^{-2})[/tex]         [tex](x^{-1})^{-1}[/tex]

7) [tex]x^{-1}\cdot y + x\cdot y^{-1}[/tex] Distributive property/Associative property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

8) [tex](x^{-1}\cdot y^{-1})\cdot y^{2} + (x^{-1}\cdot y^{-1})\cdot x^{2}[/tex]  Modulative property/Existence of additive inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

9) [tex](x^{-1}\cdot y^{-1})\cdot (x^{2}+y^{2})[/tex] Distributive property

10) [tex](x\cdot y)^{-1}\cdot (x^{2}+y^{2})[/tex] [tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]

11) [tex]\frac{x^{2}+y^{2}}{x\cdot y}[/tex] Commutative property/Definition of division/Result

Answer:

8000 cubic feet

Step-by-step explanation:

Volume of the pool = Length * Width * height

Given

Length =16ft

Width = 25ft

Height = 20ft

Substituting into the formula

Volume = 16 * 25 * 20

Volume of the pool = 8000 cubic feet

Answer:

36 pi    or   113.04 cm squared

Step-by-step explanation:

Answer:

A≈113.1cm²

Step-by-step explanation:

Answer:

Number of onion rings in the combination = x = 6

Number of sliders in the combination = y = 2

Step-by-step explanation:

At a particular restaurant, each onion ring has 45 calories and each slider has 325 calories. A combination meal with onion rings and sliders is shown to have 920 total calories and 3 times as many onion rings as there are sliders. Write a system of equations that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.

Let

Number of onion rings in the combination = x

Number of sliders in the combination = y

45x + 325y = 920 (1)

3 times as many onion rings as there are sliders

x = 3y (2)

Substitute x = 3y into (1)

45x + 325y = 920

45(3y) + 325y = 920

135y + 325y = 920

460y = 920

y = 920/460

y = 2

Substitute y = 2 into (2)

x = 3y

x = 3(2)

x = 6

Number of onion rings in the combination = x = 6

Number of sliders in the combination = y = 2

Answer:

(-∞, -8) U [3, ∞)

Step-by-step explanation:

4x - 4 < -36   OR -2x -1 ≤ -7

4x < -32         OR  -2x ≤ -6

 x < -8            OR     x ≥ 3    *divide by a negative, switch inequality

      (-∞, -8) U [3, ∞)  

Answer:

suppose,

a=6

b=24

then we know that,

geometric mean (e)=_/ab

=_/6×24

=_/144

=_/(12)^2

=12 Ans

Answer:

12

Step-by-step explanation:

to find the altitude which is e,using geometric mean, you need to :

multiply the two values that are given, which is the value in between JM and the value in between mL

so 6*24 =144

then the square root of the result, which is 144, is the altitude which is e.

so √144 = 12

therefore e=12

Answer:

the slope would be rise over run

it is shown in the graph it rise 3units and run 2units therefore it's 3/2

Answer:

c. 52

Step-by-step explanation:

since that triangle QRE is a right angle triangle

therefore QE = root 5²_3² = 4 cm " pythagorean "

since triangle PQE is a right angle triangle

therefore PQ= root 4²+6²= 2 root 13 = root 52

The length of side PQ in the figure given in the task content is; 6.48.

We are required to determine the length of side PQ;

It follows from Pythagoras theorem that;

5² - 3² = (PQ)² - 6²

(PQ)² = 16 + 36

PQ = √42.

PQ = 6.48

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Answer:

46

Step-by-step explanation:

Answer:

I am sorry I would love to help but I can't fiqure it out without the side length.

Step-by-step explanation:

btw i know its not your fault i dont  see the width

Answer:

2

Step-by-step explanation:

Lisa paints 1/3 of the room in an hour

Therefore the number of rooms she will paint in 6 hours can be calculated as follows

1 hour= 1/3

6 hours= x

Cross multiply

x= 1/3 ×6

= 2

Hence 2 rooms can be painted in 6 hours

Answer:

(-12 , 2)

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Section Formula :-

Let AB  be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

[tex](x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )[/tex]

PROCEDURE :-

Let the co-ordinates of another endpoint be (x , y)

So ,

[tex](-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )[/tex]

First , lets solve for x.

[tex]=> \frac{x - 4}{2} = -8[/tex]

[tex]=> x - 4 = -8 \times 2 = -16[/tex]

[tex]=> x = -16 + 4 = -12[/tex]

Now , lets solve for y.

[tex]=> \frac{y - 10}{2} = -4[/tex]

[tex]=> y - 10 = -4 \times 2 = -8[/tex]

[tex]=> y = -8 + 10 = 2[/tex]

∴ The co-ordinates of another endpoint = (-12 , 2)

Using conditional probability, it is found that P(A|B) is read as "the probability that A occurs given that B has occurred", hence the statement is:

B. False.

It is the probability of an event B occurring, considering that event A has occurred, and it represented by P(A|B).

Hence, following the same standard, P(B|A) is read as "the probability that A occurs given that B has occurred", which means that the statement is false and option B is correct.

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Answer:

48cm

Step-by-step explanation:

Given data

Dimension

12cmx16cm

Before we can get the perimeter of the resulting triangles

let us find the length of the diagonal

Diagonal

D^2= 12^2+ 16^2

D^2= 144+256

D^2= 400

D=√400

D=20cm

Hence the diagonal is 20cm

Therefore the perimeter of each triangle is

=12+16+20

=48cm

Answer:

84

Step-by-step explanation:

140% of 60 = 60 times 140% = 60 × 1.4 = 84

Answer:

84

Step-by-step explanation:

We can use a proportion to answer this question.

On the left side of the equal we can put the percentages (at first place the given one and in the second place 100)

On the right side we can put the numbers. x is the 140 of 60, while 60 is the

100%

140: 100 = x : 60

For find the x we have to multiply 60 and 140 and divide the result for 100

x = (60*140)/ 100 = 84

Answer:

A

Step-by-step explanation:

find x.

1. subtract 7 from 23 to get 16. then you dived 16 by -2 which gets you -8 so x is less than -8 :))

Answer:

the answer is 14 that's what I got

Answer:

35 PC's baked used has then

Answer:

y=-4

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

edge 2020

p.s. pls mark brainliest, and have a good day! :)

Answer: zero real solutions

Step-by-step explanation: constants from equation are a= 2 , b= -4 and c= 7.

Discriminant D= b^2 -4ac = (-4)^2 -4x2x7= 16 - 56 = -40 <0 so there's no solution

For equation g(x)= 0

Answer:

i think 24

Step-by-step explanation:

1/2 H x B

6 x 8 =48 1/2 is 24

The area of the tile is 24 square in.

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

The tile is in the shape of right triangle.

The sides of triangle are 10 in, 8 in, 6 in.

Here, Base of the triangle,b = 6 in

Height of the triangle,h = 8 in

The formula of area of triangle is

[tex]Area = \frac{1}{2}(base) (height)[/tex]

⇒ [tex]A=\frac{1}{2}(6)(8)[/tex]

⇒ [tex]A=24[/tex]

Hence we can conclude that the area of the tile is 24 square in.

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Answer:

<

Step-by-step explanation:

Because 3 < 4

Answer:

its <

Step-by-step explanation:

60.3 is greater than 60.44

If you break it down kinda it would be 60.30 and 60.44 and 44 is greater than 30.

Answer:

2x+8=180° (being vertically opposite angles)

Step-by-step explanation:

2x+8=110°

or, 2x= 110-8

or, x=102°÷2

: x= 51 answer

The time it will take for Jane to completely fill the tank without overflowing would be 62.8 minutes.

Used the concept of the volume of the cylinder:

The volume of the cylinder can be determined using the formula,

[tex]V = \pi r^2h[/tex]

Given:

A cylindrical tank has a height of 10 feet.

The radius of the cylindrical tank is 4 feet.

Jane fills the tank with water at a rate of 8 cubic feet per minute.

Since, the volume of the cylinder:

[tex]V = \pi r^2h[/tex]

Substituting the values, we have;

[tex]V = 3.14 \times 4^2 \times 10[/tex]

[tex]V = 502.4 \tex{ feet^3 }[/tex]

Thus, the volume of the cylinder is 502.4 cubic feet.

Time taken:

The time taken can be determined using the formula,

[tex]\text{Time} = \dfrac{\text{Volume}}{\text{Rate of filling}}[/tex]

Substituting the values, we have;

[tex]\text{Time} = \dfrac{\text{502.4}}{\text{8}}[/tex]

[tex]\text{Time} = 62.8[/tex]

Thus, Jane takes 62.8 minutes to completely fill the tank without overflowing it.

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9514 1404 393

Answer:

  M = (0, 0), which IS the origin

Step-by-step explanation:

The midpoint is given by the formula ...

  M = (A + B)/2

  M = ((4, -6) +(-4, 6))/2 = (4-4, -6+6)/2 = (0, 0)/2

  M = (0, 0) . . . . . IS the origin

Answer:

6 meters

Step-by-step explanation:

This is a right triangle (indicated by the little square in the corner), so it's like half a square. Formula for a right triangle's area is [tex](base*height)[/tex] ÷ 2. So in this situation:

[tex](3*4)=12[/tex] ÷ [tex]2 = 6[/tex]

Step-by-step explanation:

0.5×base×height

Area =1/2×4×3=6