A line passes through the point (0,-5). The gradient of this line is 3.
Write down the equation of this line

In other words, y-2 goes in the first box and 5 goes in the second box.

=================================================

Work Shown:

y^2 - 4y - x + 9 = 0

y^2 - 4y + 9  = x

x = y^2 - 4y + 9

x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5

x = (y^2-4y+4) + 5

x = (y-2)^2 + 5  .... apply the perfect square factoring rule

So we'll have y-2 go in the first box and 5 goes in the second box

note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.

Answer:

32.484

Step-by-step explanation:

Answer:

The length has increased by a factor of 4/3 or 1 1/3

Step-by-step explanation:

To find the initial length.: root 36.

Root 36 = 6

Then to find the increased version, first find the area: 36 + 28 = 64

Now, the length.

Root 64 = 8

To find the factor it increased by:

6x = 8

x = 8/6 = 4/3

The length has increased by a factor of 4/3 or 1 1/3

Answer:

449 sq ft

Step-by-step explanation:

Answer:

should be either b or c

Step-by-step explanation:

Answer:

Mean: 4.6666666

Mode: 5.5

Range: 6

75%

Step-by-step explanation:

Answer:

3:4

Step-by-step explanation:

divide into simplest form would be 3:4

Answer:

:)

Step-by-step explanation:

9 :8 18 :16 27: 24 36:32 45:40 54:48 63:56 72:64 81:72 90:80 99:88

Answer: 54 square feet

Step-by-step explanation:

To find perimeter of a rectangle we must use the formula l+l+w+w=p where l and w represent width and length

Since we know length and width is x=12 just substitute so

15+15+12+12=54 so 54 is the perimeter

Answer:

A 180° angle is called a straight angle. Angles such as 270 degrees which are more than 180 but less than 360 degrees are called reflex angles. A 360° angle is called a complete angle.

Answer:

A. 4

B. 2

C. 3

D. 2

Step-by-step explanation:

Multiplication!!! Always remember that a right angle is 90 degrees, also a straight angle is 180 degrees..

Remember like this:

90 x 1 =90

90 x 2 =180

90 x 3 = 270

90 x 4 = 360

Answer:

D. 25

25 percent * 80 =

(25:100)* 80 =

(25* 80):100 =

2000:100 = 20

Answer:1 (CIE 2012, s, paper 11, question 7)

The table shows values of variables

x

and

y

.

x

1

3

6

10

14

y

2.5

4.5

0

–

20

–

56

(i) By plotting a suitable straight line graph, show that

y

and

x

are related by the equation

y

=

A

x

+

B

x

2

,

where

A

and

B

are constants. [4]

(ii) Use your graph to find the value of

A

and of

B

.

[4]

2 (CIE 2012, s, paper 22, question 7)

The table shows experimental values of variables

x

and

y

.

x

5

30

150

400

y

8.9

21.9

48.9

80.6

(i) By plotting a suitable straight line graph, show that

y

and

x

are related by the equation

y

=

a

x

b

,

where

a

and

b

are constants. [4]

(ii) Use your graph to estimate the value of

a

and of

b

.

[4]

3 (CIE 2012, w, paper 11, question 10)

The table shows values of the variables

x

and

y

.

x

∘

10

30

45

60

80

y

11.2

16

19.5

22.4

24.7

(i) Using the graph paper below, plot a suitable straight line graph to show that, for 10°

≤

x

≤

80°,

√

y

=

A

sin

x

+

B

,

where

A

and

B

are positive constants. [4]

(ii) Use your graph to find the value of

A

and of

B

.

[3]

(iii) Estimate the value of

y

when

x

=

50.

[2]

(iv) Estimate the value of

x

when

y

=

12.

[2]

4 (CIE 2012, w, paper 22, question 8)

Step-by-step explanation:

Answer:

3052.08

Step-by-step explanation:

since there is nothing next to the hundredths place its 3052.08, unless your taking about the hundreds place then it would be 3100.00.

Answer:

Try B

Step-by-step explanation:

That's what I would choose. Sorry if it's wrong.

Answer:

your answer will be option C

Step-by-step explanation:

hope it helps

have a great day

Answer:

Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers. This is opposed to rational numbers, like 2, 7, one-fifth and -13/9, which can be, and are, expressed as the ratio of two whole numbers.

Answer:

d we cannot compare it volume to bh cubic inches

1.88*10^10 miles

Step-by-step explanation:

(430,000m/h)*(24 hours/ 1 day)*(365 days/ 1 year)*(5years)

Everything but miles cancels out,

430,000*(24*365*5) = 18,834,000,000miles

Or, 18.8 billion miles

Or, 1.88*10^(10) miles

Answer:

9w+54

Step-by-step explanation:

9(w + 6

distribute

9w+54

Answer:

7.09 meters allpppppppp

Answer: it’s a I have the same question but I have to solve and they already gave me the answer

Step-by-step explanation:

Answer:

880 cm²

Step-by-step explanation:

Given that :

Curved surface area of a cone : πrl

r = base Radius = 14 cm

l = slant height = 20 cm

Hence,

Curved surface area = π * 14 * 20

Curvwd surface are = π * 14 * 20

Curved surface area = 879.64594 cm²

Curved surface area = 880 cm²

Answer:

71.78? (not sure)

Step-by-step explanation:

To find 3% of 74, 74*.03 = 2.22

Subtract 3%, 74-2.22 = 71.78

Answer:

.10 + 11u or 11u + 10

Step-by-step explanation:

combine like terms:

. 5u + 6u = 11u

. 9 + 1 = 10

Answer:

10+11u

Step-by-step explanation:

9+5u+6u+1

1. add the numbers that are the same. 9+1= 10

2.do the same thing to the other number(s) 5u+6u= 11u

3. add both you're answers together 10+11u

Answer:

-42-2i

Step-by-step explanation:

Option b. 0.496

we know that

f(x)=0.01(2^{x})

The average rate of change is equal to

\frac{f(b)-f(a)}{b-a}

where

a=3

b=8

f(a)=f(3)=0.01(2^{3})=0.08

f(b)=f(8)=0.01(2^{8})=2.56

Substitute

\frac{2.56-0.08}{8-3}

\frac{2.48}{5}

0.496

Answer:

412

Step-by-step explanation:

i need more letters snsnsnsnsjjs

Answer:

Answer is B

Step-by-step explanation:

SohCahToa

[tex]tan = \frac{o}{a} [/tex]

Hypotenuse : Opposite the right angle. : 13

Opposite : Opposite the B angle : 5

Adjacent : The only side left : 12

we need opposite and adjacent, hypotenuse is irrelevant in this question.

Substitute the numbers

[tex]tan( \frac{5}{12} )[/tex]