What is an equation of the line that passes through the points (-4,4) and (4,6)

Answer:

Total students = 460+320+165=945

Key stage 3 ... asafraction = 460 divide by 945

the number in a sample of 100 = 460 divide by 945 x 100= 48.67

So 48 or 49 (are both, acceptable answers).

144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.

answer,,

18

27

36

45

54

63

72

81

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Answer:

x = -2

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

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

2x - 1 = 5x + 5

-2x -2x

- 1 = 3x + 5

-5 -5

-6 = 3x

-6/3= 3x/3

-2= x

Answer:

50 percent

Step-by-step explanation:

Answer: 45$

Step-by-step explanation:

Given

Principal [tex]P=\$500[/tex]

Rate [tex]R=6\%[/tex]

time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]

Simple interest is given by

[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]

In the question, time is taken in months which is incorrect

Putting values

[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]

Answer:

28.9

Step-by-step explanation:

2782 divied by 96 gives you 28.9.

Answer:

D  (x,5y)

Step-by-step explanation:

Answer:

420 x .1 = 42

420 + 42 = 462

400 x .2 = 80

400 + 80 = 480

The first one is cheaper

Answer: 6.4

Step-by-step explanation:

d = sqrt ((x2 - x1)^2 + (y2 - y1)^2)

d = sqrt (41)

d = 6.4

Answer:

c

Step-by-step explanation:

Answer:

I think A or C

Step-by-step explanation: hope this was helpful

3

4

×  

4

5

=  

3

5

Result in decimals: 0.6

Calculation steps:

3

4

×  

4

5

=  

3 × 4

4 × 5

=  

12

20

=  

12 ÷ 4

20 ÷ 4

=  

3

5

Answer:

21 pieces

Step-by-step explanation:

Given that,

Length of wood needed = 233 feet

The wood comes in lengths of 11 feet.

We need to find the number of pieces samuel need to buy. It can be done as follows :

Let he needed x peices. So

[tex]x=\dfrac{233}{11}\\\\x=21.18\\\\or\\\\x=21[/tex]

So, he will need approx 21 peices.

Answer:

$408.75

Step-by-step explanation:

25%=0.25

545*0.25=136.25

$545-$136.25=$408.75

Answer:

I think it's A

...........................

Answer:

5^0

Step-by-step explanation:

(5^3)^9 = 3 + 9 = 12

= 5^12

5^12/5^12 = 12 - 12 =0

5^0

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Answer:

two times the sum of a number and 5

Step-by-step explanation:

Answer:

B. (6,2) and (3,0)

Step-by-step explanation:

To find the slope the equation is [tex]\frac{y_{2-y_{1} } }{x_{2} -x_{1} }[/tex] so for (6,2) and (3,0) the equation would look like this [tex]\frac{0-2}{3-6}[/tex] which simplies down to [tex]\frac{-2}{-3}[/tex] and a negative divided by a negative is a positive so you're slope is [tex]\frac{2}{3}[/tex] and it matches the question.

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

eqn of line : y = mx+ c

m = slope or gradient

c = y-intercept.

Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)

[tex]m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3[/tex]

Substitute x = 1 and y = 6 into equation,

[tex]6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9[/tex]

Therefore substituting m and c value, equation of line is

[tex]y = - 3x + 9[/tex]

Answer:

[tex]Total = 32.4in^2[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

The surface area of the pyramid

To do this, we calculate the surface area of each of the pyramid faces.

For the equilateral triangle.

[tex]Base = 4.5in[/tex]

[tex]Height = 3.9in[/tex]

The area is:

[tex]A_1 = 0.5 * Base * Height[/tex]

[tex]A_1 = 0.5 * 4.5in * 3.9in[/tex]

[tex]A_1 = 8.775in^2[/tex]

There are 3 isosceles triangles of equal dimension.

[tex]Base = 4.5in[/tex]

[tex]Height = 3.5in[/tex]

The area of one of them is:

[tex]A_2 = 0.5 * 4.5in * 3.5in[/tex]

[tex]A_2 = 7.875in^2[/tex]

For the 3, the surface area is:

[tex]3A_2 = 7.875in^2 * 3[/tex]

[tex]3A_2 = 23.625in^2\\[/tex]

The total surface area is:

[tex]Total = 8.775in^2 + 23.625in^2[/tex]

[tex]Total = 32.4in^2[/tex]

Answer:

false, should be left instead

Step-by-step explanation:

negative numbers on the left of zero, positive on the right

Answer:

False

Step-by-step explanation:

Negative numbers are to the left of zero (0) on a number line.

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|

|     type that in the box below

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Answer:

[tex]y = -3+ rx[/tex]

Step-by-step explanation:

Given

[tex]Base = -3C[/tex]

[tex]Time = x[/tex]

Required

Determine the equation (y)

Let the steady rate be represented with r.

So, the equation (y) can be determined using:

[tex]y = Base + Rate * Time[/tex]

[tex]y = -3+ r* x[/tex]

[tex]y = -3+ rx[/tex]

Answer:

I think the area is 38

Step-by-step explanation:

area =38

The answer is 35.1 cm².

Hope this helps; have a great day!

Question:-

Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.

_______________________________________________

Solution:-

In an equilateral triangle all sides are equal.

Let s = side length = 9 cm

Then, area of equilateral triangle is given as:

A = (√3/4)s²

Putting the value of s here,

A = (√3/4) * (9 cm)²

=> A = (√3/4) * 81 cm²

=> A = √3 * 20.25 cm²

We know that, √3 = 1.732

=> A = 1.732 * 20.25 cm²

=> A = 35.073 cm²

Rounding to one decimal place,

=> A = 35.1 cm²

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