YEAR 9 MATHS- PLEASE HELP
The shape A has been reflected on the line drawn to give shape B.
State the equation of the line.

6. C.

7. B.

8. B.

9. B.

10. C

Answer:

40.9 mi

Step-by-step explanation:

The four points will make the rectangle, and each pair of points in sequence will create a side of the rectangle. So, to find the length of each side, we need to find the distances between each pair of points in sequence:

distance between (0,0) and (0, 7.65) -> |7.65 - 0| = 7.65 mi

distance between (0,7.65) and (12.8, 7.65) -> |12.8 - 0| = 12.8 mi

distance between (12.8, 7.65) and (12.8, 0) -> |0 - 7.65| = 7.65 mi

distance between (12.8, 0) and (0, 0) -> |0 - 12.8| = 12.8 mi

So the perimeter is 7.65 + 12.8 + 7.65 + 12.8 = 40.9 mi

Answer:

40.9 mi

Step-by-step explanation:

will make it simple and short

in a surveying measurements with coordinates, we always take it from the Zero. So each coordinates must be subtracted from Zero to get the length of each point.

therefore the perimeter = 0 + 7.65 + 12.8 + 7.65 + 12.8 + 0 = 40.9 mi

Answer: She worked as a carpenter for 12 hours and a blacksmith for 18 hours.

Step-by-step explanation:

18*25 = 450

12*20 = 240

240 + 450 = 690

12 + 18 = 30.

Answer:

The product of these slopes is [(d-b)/(c-a)] × [(c-a)/(-d+b)] = -1

Proved: This product shows that the slopes are negative reciprocals

Question:

The complete question as seen on brainly ( question ID = 13270010):

Determine the missing information in the paragraph proof.

Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).

Prove: The slopes of perpendicular lines are negative reciprocals.

The slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction

The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.

Step-by-step explanation:

Line PQ contains the points (a, b) and (c, d)

Line P’Q’ contains the points (–b, a) and (–d, c)

The two lines are said to be perpendicular.

For two lines are said to be perpendicular, the product of the slope of the two lines must be equal to -1.

Let's determine if it's true for this two lines.

Find attached the the diagram and explanations.

The product of these slopes is [(d-b)/(c-a)] × [(c-a)/(-d+b)] = -1

This product shows that the slopes are negative reciprocals

Answer:5

Step-by-step explanation:

Answer:To work out the multiplier, first add or subtract the percentage from 100, then convert to a decimal. Example: we want to add 20% to £110. To work out the multiplier, add 20 to 100, to get 120, and then change it to a decimal (divide by 100) to get 1.2.

Step-by-step explanation:

The decimal multiplier of a number to increase by 99% will be 1.99.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

Let's consider the number x.

To increase it by 20% we need to find 20% of it so 0.20x

Now, add this 20% to x so that it will increase by 20% as,

0.20x + x = 1.20x

Thus,to increase the number by 20% we need to multiply 1.20

Similarly to increase a number by 99% we need to multiply with 1.99.

Hence "The decimal multiplier of a number to increase by 99% will be 1.99".

For more about the percentage,

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Answer:

76.3 cm²

Step-by-step explanation:

step 1

step 2

step 3

step 4

Answer:

2/7

Step-by-step explanation:

7/8 ÷ 3 1/16

Change to an improper fraction

3 /16 = (16*3+1)/ 16 =49/16

7/8 ÷49/16

Copy dot flip

7/8 * 16/49

Rewrite

7/49 * 16/8

Simplify

1/7 * 2/1

2/7

Answer:

Step-by-step explanation: you can use a protractor if you have 1 or seeing as the bottom left is 65, the bottom right will be the same, mostly a guess but half 65 and try that.

Answer:32.09

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

To Find Out What are the four Positive Integers, Let's Prime Factorize 110:

110 = 1 × 2 × 5× 11

This means these are the four positive integers by multiplying which results in 110.

Now, The sum of these integers:

=> 1+2+5+11

=> 19

if i understand correctly what you mean by this question the answer could be

14/24

28/48

you can just keep multiplying the top and the bottom by the same number to get an equivalent fraction

im sorry if i understood the question wrong, i hope this helped a little bit

Disclaimer: The options are missing. The options to the question are:

A.7x1/12; B.7/7x12/12; C.1/7x7/12; D.12x1/7

The expression equivalent to 7/12 is 7x1/12. So, option A. is the right choice.

Two fractions are said to be equivalent fractions when they both give the same value in their reduced or simplest form.

We are asked to find the expression equivalent to 7/12 from the given options.

To solve the question, we reduce all the options to their simplest form. The option = 7/12 will be our answer.

As we can see only option A. 7 * 1/12 = 7/12 in its simplest form, so it is the right option.

Learn more about equivalent fractions at

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Answer: 0.6 liters per kilometer

Step-by-step explanation:

(A) 475L - 50km

(B) 375L - 200km

Subtract liters.

475-375=100L

Subtract km

200-50=150km

Divide liters per km

100/150=0.6L/km

Answer:

144 inches.

Step-by-step explanation:

One foot = 12 inches

One square foot = 144 inches.

Answer:

144

Step-by-step explanation:

Foot=12 inch

Square foot= foot times foot

Square foot= 12 inch times 12 inch

Square foot= 144 square inch.

Answer:B

Step-by-step explanation:

-36 – 8=-44

36+8=44

-36 + (-8)=-44

8 – 36=-28

-8+36=28

As you can see only B equals -44 just like the expression given,

Hope my explanation helps

Answer:

41 degrees

Step-by-step explanation:

Since the sum of the interior angles of a triangle will always be 180 degrees:

42+56+2x=180

2x=82

x=41

Hope this helps!

Answer:

[tex]solution \\ 42 + 56 + 2x = 180(sum \: of \: angle \: in \: triangle) \\ or \: 98 + 2x = 180 \\ or \: 2x = 180 - 98 \\ or \: 2x = 82 \\ or \: x = \frac{82}{2} \\ x = 41[/tex]

hope this helps...

Good luck on your assignment...

Answer:

(a)Cat

(b)8 animals

(c)6 people

Step-by-step explanation:

From the attached diagram:

Let the [tex]\square[/tex] be x.

Half of [tex]\square[/tex] =x/2

From the pictogram, we then have:

[tex]Cat = x+\frac{x}{4} \\Dog=x+\frac{3x}{4}\\Giraffe=2x+\frac{x}{2}\\Monkey =x+\frac{x}{2}\\Dolphin=3x[/tex]

Therefore:

[tex]x+\frac{x}{4} +x+\frac{3x}{4}+2x+\frac{x}{2}+x+\frac{x}{2}+3x=80\\8x+\frac{x}{4}+\frac{3x}{4}+\frac{x}{2}+\frac{x}{2}=80\\10x=80\\x=8[/tex]

So we have the following numbers

[tex]Cat = x+\frac{x}{4} =8+\frac{8}{4}=10\\Dog=x+\frac{3x}{4}=8+\frac{3*8}{4}=14\\Giraffe=2x+\frac{x}{2}=2*8+\frac{8}{2}=20\\Monkey =x+\frac{x}{2}=8+\frac{8}{2}=12\\Dolphin=3x=3*8=24[/tex]

(a)Cat was the least popular

(b) [tex]\square[/tex] represents 8 animals

(c)

Number of People who preferred giraffe=20

Number of People who preferred dogs=14

Difference=20-14=6

Therefore, 6 more people preferred  giraffes than dogs.

A pictogram is a simple drawing that represents something

(a). Cat is least popular animal

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

Let us consider that a large complete square represented by variable y .

Since, peoples whose favourite animal is cat is represented by a complete square and one fourth of square.

It means, Peoples who like cat = [tex]y+\frac{y}{4}[/tex]

Similarly,

People who like dog = [tex]y+\frac{3}{4}y[/tex]

Peoples who like Giraffe = [tex]2y+\frac{y}{2}[/tex]

Peoples who like monkey = [tex]y+\frac{y}{2}[/tex]

Peoples who like Dolphin = [tex]3y[/tex]

Since, total people = 80

Therefore,

       [tex]y+\frac{y}{4}+y+\frac{3}{4}y+2y+\frac{y}{2}+y+\frac{y}{2} +3y=80\\\\10y=80\\\\y=\frac{80}{10}=8[/tex]

So, a complete large square is equivalent to 8 peoples.

Peoples who like giraffes = [tex]2y+\frac{y}{2}=2(8)+\frac{8}{2}=20[/tex]

Peoples who like dog = [tex]y+\frac{3}{4}y=8+(\frac{3}{4} ) 8=14[/tex]

So, 20 - 14 =6 more people preferred giraffes than dogs.

Thus,

(a) Cat is least popular animal

(b)Total 8 complete square in given pictogram represented 64 people.

(c) 6 more people preferred giraffes than dogs.

Learn more:

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Answer: [tex]\frac{5x-29}{6}[/tex]

Step-by-step explanation:

To simplify the equation, we can just subtract the 2 fractions. First, we need to make sure they have a common denominator.

[tex]\frac{2(x-7)}{6} -\frac{3(5-x)}{6}[/tex]

Now that the fractions have the same denominator, we can distribute the numerator and subtract.

[tex]\frac{2x-14}{6} -\frac{15-3x}{6} =\frac{2x-14-15+3x}{6} =\frac{5x-29}{6}[/tex]

Answer:

ellipses and hyperbolas as a simple form has the x-axis as principal axis and the origin (0,0) as center. If it's a circle, c = 0 so a2 = b2. And for the parabola, the standard form has the focus on the x-axis at the point (a, 0) and the directrix the line with equation x = −a.

(I'm sorry I got most of this from google) :(

Answer: [tex]8(4x^3-y^2)[/tex]

Step-by-step explanation:

[tex]32x^3-8y^2[/tex]

[tex]8(4x^3-y^2)[/tex]

Answer:

9/20

Step-by-step explanation:

The probability of drawing a girl's name is 0.5, since there are 5 girls in 10 kids here.  If that girl's name is not replaced, then the probability of drawing a boy's name is 5/9, since there are still such names but the total number of names is now 9.

Thus, the probability of this joint event is (0.5)(9/10) = 4.5/10 = 9/20

Answer:

so drawing a girls name from the hat would be 5/10 since 5 girls are there out of 10 students in total. After, you pick the girls name the total number of student names would become 9 and since there are 5 guys, you get a 5/9 probability

Answer:1/4

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

1/3 ÷ 4

1/3 x 1/4 = 1/12

Answer:

47.12388

Step-by-step explanation:

Wheel Diameter = Wheel 2 x Radius; 50 cm / 2 = 25 cm.

For one rotation of the wheel, the distance travelled = circumference of the wheel.

Circumference = 2 x pi x radius = 2 x 3.1415926858 x 25 cm = 157.07 cm approx.

Distance travelled with 30 turns of the wheel = 30 x 157.07 = 4712.39cm approx.

Distance in meters = 4712.39cm / 100 = 47.12388 meters approximate (1 cm = 1/100th of a meter).

hope it helps you

The requried bicycle wheel makes approximately 1910 complete rotations over a distance of 3 km.

The circumference of the bicycle wheel is equal to its diameter multiplied by π (pi).

Here

Circumference = diameter x π = 50 cm x 3.14 ≈ 157 cm

To find the number of rotations, we need to divide the distance traveled by the circumference of one rotation:

Number of rotations = Distance ÷ Circumference

Number of rotations = 300000cm ÷ 157 cm = (3000 m ÷ 157 cm) ÷ (100 cm ÷ 1 m) = 1910.82

Therefore, the bicycle wheel makes approximately 1910 complete rotations over a distance of 3 km.

Learn more about circumference here:

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Answer:

-1

Step-by-step explanation:

-7/10+7/15+1/-20+-9/10+11/15+11/-20

= -7/10 + -9/10 + 7/15 + 11/15 + 1/-20 + 11/-20

= -16/10 + 18/15 + 12/-20

= -8/5 + 6/5 + -3/5

= (-8+6-3)/5

= -5/5

= -1

Answer:

Step-by-step explanation:

4p(p−7q)

=(4p)(p+−7q)

=(4p)(p)+(4p)(−7q)

=4p squared −28pq

Answer:

(g*h)(5) is g(h)=x

Step-by-step explanation:

because if h(x)=x-7 and g(x)=x^2.

Answer:

3 / 5x^6y^6

Step-by-step explanation:

= -9x^-1y^-9/-15x^5y^-3

= -9y-9 / -15x^6y^-3

= -9 / -15x^6y^6

= 3 / 5x^6y^6

Answer:

b on edge

Step-by-step explanation:

Answer: $172.50

Step-by-step explanation:

$2300 x 0.075 = $172.50

You can double check quickly because you know 10% of 2300 is $230, so 5% is $115.  The answer is halfway between the 5% and 10% numbers, so you know it is reasonable.

Answer:

135° and 225°

Step-by-step explanation:

basically you want to find the value of x between 0 and 360 in this equation

cos x/2 = -(√2)/2

assume x/2 as n, so

cos n = -(√2)/2

n = 45°

then remember the quadrant system

0-90 1st quadrant, all is POSITIVE

90-180 2nd quadrant, only SIN has positive value

180 - 270 3rd quadrant, only TAN has positive value

270 -360 4th quadrant, only COS positive here.

so if you try to find negative value look into 2nd and 3rd quadrant that related 45° to x-axis (0°or 180°)

so the value of x is

180 - 45 = 135° (2nd quadrant) and

180 + 45° = 225° (3rd quadrant)

Answer:

5

Step-by-step explanation:

To evaluate (g ￮ h)(9), evaluate h(9) , then use this value to evaluate g(x)

h(9) = [tex]\sqrt{9}[/tex] = 3, then

g(3) = 2(3) - 1 = 6 - 1 = 5

Answer:

  0.4762

Step-by-step explanation:

There are 9C5 = 126 ways to choose 5 candidates to give speeches. There are (5C3)(4C2) = 60 ways that 3 of those candidates can be biology majors (and the other two can be non-biology majors). The probability of interest is ...

  60/126 ≈ 0.4762

__

nCk = n!/(k!(n-k)!)