Somebody please help me!!!

Answer:

15 units

Step-by-step explanation:

Distance from the x-axis is measured vertically, so you would look at the second number of the coordinates, the y value. Point Z is 15 units below the x-axis.

Hence, the distance from [tex]Z= (16,-15)[/tex] to the x-axis is [tex]15[/tex] units.

What is the axis?

An axis in mathematics is defined as a line that is used to make or mark measurements.

Here given that,

[tex]Z= (16,-15)[/tex]  which is on the x-axis.

So,

The shortest distance between the coordinate [tex](16,-15)[/tex] and [tex](16,15)[/tex].

Now, applying the distance formula

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here,

[tex](x_1,y_1)=(16,0)\\(x_2,y_2)=(16,-15)[/tex]

Substituting these values in the formula

[tex]d=\sqrt{(16-16)^2+(-15-0)^2}\\\\d=\sqrt{(0)^2+(-15)^2}\\\\d=\sqrt{0+225}\\\\d=15[/tex]

Hence, the distance from [tex]Z= (16,-15)[/tex] to the x-axis is [tex]15[/tex] units.

To know more about the axis

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Answer:

EH = 3.31

Step-by-step explanation:

We have been given a right angle triangle EKL. As KH has been given as the altitude (perpendicular) of the right angled triangle, and K is the right angle, we can say that EK is tthe base of the triangle and EH is the only side lleft, which is the hypotenuse of the triangle.

Where,

EK = Base = 3

KH = perpendicular altitude

EH = Hypotenuse

m<K = 90

m<E = 25

We know that

cosθ = Base/ Hypotenuse

cos 25 = 3/ EH

EH = 3/cos25

EH = 3.31

Perpendicular alitutude can also be calculated by using the formula for tanθ.

Answer:

A) ∠9 = ∠10 = ∠11 = ∠12  = 90°

∠2 = ∠3 = ∠5 = ∠8 = 135°

∠1 = ∠4 = ∠6 = ∠7 = 45°

B) 1. ∠4 and ∠1 -> vertical angles

2. ∠7 and ∠5 -> supplementary

3. ∠9 and ∠10 -> supplementary

Step-by-step explanation:

Data

The following are vertical angles, so they are congruent:

∠1 ≅ ∠4

∠3 ≅ ∠2

∠11 ≅ ∠9

∠10 ≅ ∠12

∠7 ≅ ∠6

∠5 ≅ ∠8

From here and data, it is deduced that

∠11 ≅ ∠9 ≅ ∠10 ≅ ∠12

From the picture, the addition of them is equal to 360°, then:

∠11 + ∠9 + ∠10 + ∠12 = 360°

4*∠11 = 360°

∠11 = 360°/4

∠11 = 90° = ∠10 = ∠9 = ∠12

∠2 and ∠4 are supplementary, then:

∠2 + ∠4 = 180°

∠2 = 180° - 45°

∠2 = 135°

∠7 and ∠5 are supplementary, then:

∠7 + ∠5 = 180°

∠7 = 180° - 135°

∠7 = 45°

Answer:

Started learning this today and this made a lot easier

Answer: The son is 30 and the mother is 60

Step-by-step explanation:

Mother's age = m

Son's age  = s

m = s + 30

m-15 = 3(s - 15)

m - 15 = 3s - 45

m = 3s - 30

(Substitution)

s + 30 = 3s - 30

2s = 60

s = 30

m = 60

Hope it helps <3

Trick question---

Just kidding I think that 15 years ago his mother was 45

he was 15 and now he is 30 and she is 60.

literally sat here thinking that 30 is ruled out, and 60 would be 20 but then she'd be too old, suddenly it clicked, if you said he'd be half her age now, it'd be to easy, because half her age now would be 30 and it'd give the answer straight away.

You or your teacher has a big percentage of the brain used. I respect.

Answer:

[tex]1\frac{5}{7}[/tex]

Step-by-step explanation:

[tex]4\frac{3}{7} -2\frac{5}{7}[/tex]

Step 1. Simplify left side 4*7+3 , Right Side 2*7+5

[tex]=\frac{31}{7} -\frac{19}{7} = \frac{12}{7}[/tex]

Step 2. Re-write 12/7 as mixed number

[tex]\frac{12}{7} = 1\frac{5}{7}[/tex]

Answer:

Step-by-step explanation:

The surface area of a sphere with radius r is given by

S = 4 pi r^2

for a radius of 11 units,

S =  4 pi 11^2 = 484 pi = 1520.5 sq. units

This does not correspond to any of the answers.

Please check question.

Answer:

484[tex]\pi[/tex]

Step-by-step explanation:

Surface Area of Sphere Formula: 4[tex]\pi[/tex]r[tex]r^{2}[/tex]

When you plug it in it is 4[tex]\pi[/tex][tex]11^2[/tex]

Then you would get 484[tex]\pi[/tex]

Answer:

300 feet

Step-by-step explanation:

If we were using feet the expression would be 198x, where x is feet per second

Since they are asking in meters we need to convert feet to meters

When you do that you get 60

Now the expression is 60x

When you plug 5 into the equation it is 300

Answer:

2

Step-by-step explanation:

=> 10-8

=> 2 (Equivalent Expression)

Answer:

4 times faster

Step-by-step explanation:

From the above question, we have the following information

Let us represent the Distance traveled by Abigail as Y

On her skateboard she travelled two thirds of the way = 2/3Y

She walks the rest of the way home = Y - 2/3Y = 1/3Y

The time she used to walk home is twice the time she used to ride her skate board

Hence, let us represent the time she used to ride her skateboard as S

So, Time she used to walk home = 2 × S = 2S

The question is asking us, how fast ,this is = Speed

The formula for Speed = Distance/ Time

Speed for her skate board = 2/3Y/S = 2Y/3S

Speed as she walks = 1/3Y / 2S = Y/ 6S

How many times faster is Abigail on her skateboard than she is walking is calculated as :

Speed of Abigail while skating ÷ Speed of Abigail while walking

= 2Y/3S ÷ Y/6S

= 2Y/3S × 6S/Y

= 4

Therefore, Abigail was 4 times faster on her skateboard than she is walking.

Answer:

4.(3)

Step-by-step explanation:

3x+3 = 12

Subtract 3 to both sides.

3x = 9

Divide the left side by 3, then divide the right side by 3

x = 3

Answer:

Hi! your answer should be D. 3

Step-by-step explanation:

1. 3x+3=12

-3 -3

2. 3x=9

÷3 ÷3

3. x= 3

[So, your answer should be D. x=3]

Hope this helps!

Answer:

See below.

Step-by-step explanation:

To be a function the graph must pass the vertical line test. If any of the vertical lines which can be drawn intersects the graph more than once then it's not function.

So Graph 1 is not a function because a vertical line passes through the 2 points in quadrant 1, whereas Graph 2 is a function because any vertical line you can draw only passes through the graph once.

Graph 3 - not a function.

Graph 4 - not a function.

Graph 5 - not a function.

Graph 6 is a function.

Answer:

£48

Step-by-step explanation:

56 ÷ 7 = £8

56 - 8 = £48

Please let me know if my answer is correct.

Answer:

48

Step-by-step explanation:

Answer:

The answer is 3 mark as brainliest

Step-by-step explanation:

3 *3-4*4+2*5

9-16+10

9-6=

3

Answer:

Hey there!

3a-4b+2c

3(3)-4(4)+2(5)

9-16+10

3

Your answer would be 3.

Hope this helps :)

To find the common difference, subtract all the numbers in order.

56 - 49 = 7

49 - 42 = 7

42 - 35 = 7

Therefore, common difference is 7.

Best of Luck!

Answer:

The answer is -7

(got this answer right on the lesson)

Step-by-step explanation:

Answer:

13x+10

Step-by-step explanation:

Answer:

7x+10 cm

Step-by-step explanation:

To find the perimeter add up all the sides

There are 5 sides

3x+5+2x+2x+5

Combine like terms

3x+2x+2x   +5+5

7x+10

The perimeter is 7x+10

Answer:

12 different outfits

Step-by-step explanation:

2 x 2 x 3 = 12 outfits.

Answer:

12

Step-by-step explanation:

He has 2 possibilities for a shirt, 2 possibilities for a pant, and 3 possibilities for a cap. You just multiply them together:

2 * 2 * 3 = 12 outfits

Answer:

25 units.

Step-by-step explanation:

The first thing we need to do is find the hypotenuse of the triangle with side lengths 12 and 16. 12^2 + 16^2 = 144 + 256 = 400. sqrt(400) = 20. So, the hypotenuse of that triangle is 20 units.

Because the smaller length of the smaller triangle bisects the largest triangle's right angle, the two triangles are similar, with the side length 12 corresponding to the smaller side length of the larger triangle, the side length 16 corresponding to the 20 unit side, and the 20 unit hypotenuse corresponding to x.

Now that we know the triangles are similar, we can construct a proportion...

[tex]\frac{16}{20} =\frac{20}{x}[/tex]

That means that 4/5 = 20/x

1/5 = 5/x

x = 25

Hope this helps!

Answer:

13.896 kg

Step-by-step explanation:

You can find the mass of the bar by first finding the volume.

V = BH

where B = area of the base (the trapezium), and

H = height (distance trapezium between bases)

The area of a trapezium is

A = (b1 + b2)h/2

where b1 and b2 are the lengths of the bases of the trapezium (the parallel sides), and

h = the altitude of the trapezium (distance between the bases of the trapezium)

V = (b1 + b2)h/2 * H

V = (12 cm + 6 cm)(5 cm)/2 * 16 cm

V = 720 cm^3

The volume of the bar is 720 cm^3.

Now we use the density and the volume to find the mass.

density = mass/volume

mass = density * volume

mass = 19.3 g/cm^3 * 720 cm^3

mass = 13,896 g

Now we convert grams into kilograms.

1 kg = 1000 g

mass = 13,896 g * (1 kg)/(1000 g)

mass = 13.896 kg

Answer: 1.3896 kg

Answer:

xx

Step-by-step explanation:

Answer:

Given that “The amount of money in my wallet is more than $10, but less than $20 " can be written in inequality form as

10 < w <  20   where  " w"  is the amount in the wallet .

1 ) Puzzle : -

Ryan  is eating cookies . His mother ask how many cookies did he have .

He said number of cookies he ate is more than 19 and less than 41 .

We can write it in equality form as  19 < x < 41 where  ' x ' is number of cookies Ryan have .  

2) Puzzle :-

Number of steps a child take in an hour is more than 19 and less than 41 .

Write the situation in inequality form .

19 < p < 41 where  " p " is the number of steps a child take in an hour .

3) Puzzle :-

Mother said to his child : " the number of  coins in your piggy bank is more than 19 and less than 41 .

19 < c < 41  where " c " is number of coins in piggy bank .

Step-by-step explanation:

Answer:

Using SohCahToa we know it will be opposite over adjacent, opposite being the side across from theta and adjacent being the side next to theta, Using Toa we know it will be opposite over adjacent so the answer will be 6/2sqrt5

If they wants you to simplify more than you cant have a sqrt on the bottom so to fix this you will multiply the top and bottom by sqrt5 leaving you with 6sqrt5/ 2*5 or 6sqrt5/15

hope this helped

Answer:

C. 3^5/5

Step-by-step explanation:

Answer: [tex](x+10)^2+119=0[/tex]

Step-by-step explanation:

For a quadratic equation, the vertex form is given by : [tex]y=a(x-h)^2+k[/tex], where (h, k) is the vertex.

The given quadratic equation: [tex]x^2 + 20x + 28 = 9[/tex]

Subtract 9 from both sides

[tex]=x^2+20x+19=0[/tex]

compare this to [tex]x^2+bx=c[/tex], and add [tex](\frac{b}{2})^2[/tex] both sides

b= 20

[tex]x^2+20+100+19=-100[/tex]   [(b/2)²=20/2=10]

[tex]\Rightarrow\ x^2+2(x)(10)+10^2+119=0[/tex]

[tex]\Rightarrow\ (x+10)^2+119=0\ \ \ [\because\ (a+b)^2=a^2+b^2+2ab][/tex]

So, the vertex form : [tex](x+10)^2+119=0[/tex]

Answer:

The correct option is A

A) y = (1/5)x + 6

Step-by-step explanation:

The equation of the first cut shown in the graph is:

y = (1/5)x - 1

We know that a general form of linear equation is given as:

y = mx + c

Comparing both equations, we get that the slope m = 1/5

As the second cut is parallel to the first cut, it will have the same slope, that is m = 1/5

Substitute it in the general linear equation

y = mx + c

y = (1/5)x + c

We know that this equation passes through the point (0,6), substitute it in  the above equation>

6 = (1/5)(0) + c

c = 6

The equation for second cut be found by using m = 1/5 and c = 6

y = mx + c

y = (1/5)x + 6

Answer:

y-intercept is 30

Step-by-step explanation:

Given the model  [tex]y = 10x + 30.[/tex] comparing this model to the equation of a straight lines  we can get the y- intercept

[tex]y = 10x + 30\\\y= mx+c[/tex]

The y- intercept is 30 which is the constant factor and it describes to us about the one-time registration fee of $30.

The y-intercept in this model for the average gym costs is 30.

In a linear equation, the y-intercept can be interpreted as the constant. It is the value that does not change with the number of months a person goes to the gym. The y-intercept can also be referred to as the fixed cost. In this question, the y-intercept is 30.

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Answer:

462 ways

Step-by-step explanation:

Answer: 0.20

Step-by-step explanation:

As per given :

P(student enrolled in a math class ) = 65% = 0.65

P( student enrolled in a science class) = 43%= 0.43

P( student enrolled in both ) = 13% = 0.13

Formula of conditional probability :

[tex]P(A|B)=\dfrac{P(A\text{ and }B)}{P(B)}[/tex]

Using the above formula,

The probability that the student is enrolled in a science class given that he is enrolled in maths class :

[tex]P(\text{science}|\text{math})=\dfrac{P(\text{science and maths})}{P(\text{math})}\\\\=\dfrac{0.13}{0.65}\\\\=\dfrac{13}{65}\\\\=\dfrac{1}{5}=0.20[/tex]

Hence, the probability that the student is also enrolled in a science class =  0.20 .

Answer:

Bob's home will worth $296,779.25 after 12 years.

Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]

Step-by-step explanation:

Current value of Bob's house =[tex]FV = $175,000( 1 + 4.5/100)^12\\FV = $175,000( (100+ 4.5)/100)^12\\FV = $175,000( (104.5)/100)^12\\FV = $296,779.25[/tex]

market is improving at 4.5% annually.

This, means that the value of house gets appreciated by 4.5% each year from its previous year value.

This is a problem of compound interest formula

[tex]FV = PV(1+r/100)^n[/tex]

where PV is the present value of any thing

FV is the future value

r is the annual rate of interest

t is the time in number of year for which rate is applicable.

_____________________________________

Given

PV = $175,000.

r = 4.5%

t = 12 years

Value after 12 year will be given by

[tex]FV = $175,000( 1 + 4.5/100)^(12)\\FV = $175,000( (100+ 4.5)/100)^(12)\\FV = $175,000( (104.5)/100)^(12)\\FV = $296,779.25[/tex]

Thus, Bob's home will worth $296,779.25 after 12 years.

Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]

Answer:

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

-2

5

= -0.4

θ =  

arctan( ΔY ) + 360°

ΔX

= 338.19859051365°

ΔX = 4 – -6 = 10

ΔY = -2 – 2 = -4

Distance (d) = √ΔX2 + ΔY2 = √116 = 10.770329614269

Equation of the line:

y = -0.4x – 0.4

or

y =  

- 2 x

5

–  2

5

When x=0, y = -0.4

When y=0, x = -1

Answer:

Step-by-step explanation:

Slope (m) =  

ΔY  

ΔX  

=  

-2  

5  

= -0.4  

θ =  

arctan( ΔY ) + 360°  

ΔX  

= 338.19859051365°  

ΔX = 4 – -6 = 10  

ΔY = -2 – 2 = -4  

Distance (d) = √ΔX2 + ΔY2 = √116 = 10.770329614269  

Equation of the line:  

y = -0.4x – 0.4  

or  

y =    

- 2 x  

5  

–  2  

5  

When x=0, y = -0.4  

When y=0, x = -1