using Pythagoras theorem work out the length of AB
ABC is a triangle,
1 side is 22 cm 1 side is 8 cm
1 side is unknown the
1 unknown side is unknown
work out AB using Pythagoras theorem

Answer:

Step-by-step explanation:

[tex]x^2-5=-2x+3\\\\x^2+2x-8=0\\\\a=1\,,\ b=2\,,\ c=-8\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-2\pm\sqrt{2^2-4\cdot1\cdot(-8)}}{2\cdot1}=\dfrac{-2\pm\sqrt{4+32}}{2}=\dfrac{-2\pm\sqrt{36}}{2}=\dfrac{-2\pm6}{2}\\\\x_1=\dfrac{-2-6}2=\dfrac{-8}2=-4\\\\y_1=-2x_1+3=-2(-4)+3=8+3=11\\\\(-4\,,\ 11)\\\\x_2=\dfrac{-2+6}{2}=\dfrac{4}2=2\\\\y_2=-2x_2+3=-2\cdot2+3=-4+3=-1\\\\(2\,,\ -1)[/tex]

Answer:

(B) There is no solution.

Step-by-step explanation:

Given the two lines A and B where:

[tex]L$ine A: x + y = 6 \implies y=6-x\\$Line B: x + y = 4 \implies y=4-x\\$Therefore:$\\6-x=4-x\\-x+x=4-6\\0=-2\\$Since, $ 0\neq -2,$ there is no solution.[/tex]

The correct option is B.

Answer:

A

Step-by-step explanation:

Just took test, can I have Brainliest.

Answer:

a = 8.

Step-by-step explanation:

a^2 + b^2 = c^2

b = 6; c = 10

a^2 + 6^2 = 10^2

a^2 + 36 = 100

a^2 = 64

a = plus or minus 8

Since side lengths can't be negative, a = 8.

Hope this helps!

Answer:

1/6

Step-by-step explanation:

sequence should be 1/6,1/3,1/2,2/3

common difference=1/3-1/6=2/6-1/6=1/6

or 1/2-1/3=(3-2)/6=1/6

or c.d.=2/3-1/2=(4-3)/6=1/6

Answer:

The answer is 1/6.

Step-by-step explanation:

I got it right when I did it.

Same number of rows to chairs in a row would form a square.

Use the total number of students as the area

Find the number or rows by taking the square root of student:

The square root of 7033 is 83.86

Round up to 84

Total seats would be rows x seats per row:

84 x 84 = 7,056 total seats

7056 seats - 7033 students = 23 empty seats

Answer:

The absolute value function that models the path of the ball is

[tex]f(x) = \left | -\frac{3}{4}\cdot x + 15 \right |[/tex]

The coordinates when the ball passes within 3 meters of the wall is [tex]\left (3, 12\tfrac{3}{4} \right )[/tex]

Step-by-step explanation:

Given that the ball rolls without other external influences, we have;

(y - 0) = (x - 15)

The slope, m is give by the relation;

m = (y₂ - y₁)/(x₂ - x₁)

m = (15 - 0)/(0-20) = -3/4

The equation of the path of the ball in slope and intercept form is presented as follows;

y = m·x + c

15 = -3/4 ×0 + c = 15

c = 15

The absolute value function that models the path of the ball is then;

[tex]f(x) = \left | -\frac{3}{4}\cdot x + 15 \right |[/tex]

The vale of the function when x = 3 is given by the relation

[tex]f(x) = \left | -\dfrac{3}{4}\times 3 + 15 \right | = \dfrac{51}{4}[/tex]

Therefore, we have the coordinates as  [tex]\left (3, 12\tfrac{3}{4} \right )[/tex].

Answer:

-11x+8 or 8-11x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number be x

Twice the difference of a number and 5 is written as

2( x - 5)

three times the sum of the number and 2 is written as

3( x + 2)

Equate them

We have

2(x - 5) = 3(x + 2)

Expand

2x - 10 = 3x + 6

Group like terms

2x - 3x = 16 + 10

- x = 16

Multiply through by - 1

x = - 16

Hope this helps you

Answer:

42.1

Explanation step-by-step:

Working out the lenght of the blue-dashed line:

SOH

47 is the Hypotenuse.

the blue line is the adjacent.

adjacent= Cos(30) x47

adjacent= 40.7

Working out x :

40.7 is the opposite this time.

x is the adjacent.

x = 40.7/ Tan(44)

x = 42.1

Answer:

Since in option B, the bacteria are growing exponentially, B would be the correct answer to this question.

Step-by-step explanation:

Answer:

Step-by-step explanation:

8 faces and 12 vertices means hexagon as its base

That means 6+6 edges of its bases and 6 side edges.

6+6+6=18  

Answer:

Step-by-step explanation:

#2:  Amber is correct.  The distribution is skewed to the left.

Answer:

  a(b+c-d)

Step-by-step explanation:

Each term has a factor of "a", so that can be factored out. The remaining factor cannot be factored any further.

  ab +ac -ad = a(b +c -d)

Answer:

a(b + c - d)

Step-by-step explanation:

'a' is common to all three terms of the given expression.  Thus, the expression in factored form is a(b + c - d).

Answer:

No, it is not possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm because here we see that sum of the lengths of two sides is equal to third side i.e., 4+3 = 7. As we know that, the sum of any two sides of a triangle is greater than its third side, so given statement is not correct.

Step-by-step explanation:

Answer:

6 and 102 = 62

119 and 23 = 38

96 and 51 = 33

28 and 87 = 65

Step-by-step explanation:

just did mine :D

Answer:

El ascensor recorrió unos 39 metros

Step-by-step explanation:

Segun la pregunta cada cada piso tiene 3 metros de altura, por lo tanto para calcular los metros que recorrió el ascensor tenemos que hacer el siguiente calculo:

metros desde el primer piso al quinto piso=3 metros*4=12 metros

metros desde el quinto piso al segundo piso=3 metros*3=9 metros

metros desde el segundo piso al octavo piso=3 metros*6=18 metros

Por lo tanto los metros que recorrió el ascensor=12 metros+9 metros+18 metros

metros que recorrió el ascensor=39 metros

El ascensor recorrió unos 39 metros

[tex]P_(_A_o_r_B_)[/tex] = 1

This means that the probability of event A or event B of happening is 1 or certainly would happen.

Answer:

A

achievements

Step-by-step explanation:

Answer:

Option A, y=8

Step-by-step explanation:

If you graph each of the equations, you will find that y=8 is the only line that crosses through the point (-3,8)

Also,

If you notice the given point, the y-coordinate is 8 indicating that the point lies on the line that has y as 8

Hope that helps!!

Answer:

Option B

Step-by-step explanation:

f(t) = 5000

g(t) = 250t

h(t) = f(t) + g(t) = 5000 + 250t

After 5 years, the amount of money in the account is:

h(t = 5) = 5000 + 250(5) = 5000 + 1250 = 6250$

Answer:

The two angles coterminal with π/10 are 21π/10 and -19π/10

Step-by-step explanation:

To find a two angles that are coterminal with π/10, we add and subtract 360°(that is 2π) from π/10.

So, the first angle coterminal with π/10 is

A = π/10 + 2π

taking the L.C.M which is 10, we have

A = (π + 20π)/10

A = 21π/10

The second angle coterminal with π/10 is

B = π/10 - 2π

taking the L.C.M which is 10, we have

B = (π - 20π)/10

B = -19π/10

So the two angles coterminal with π/10 are 21π/10 and -19π/10

Answer:Are there any options?

Step-by-step explanation:

Two or more expressions with an Equal sign is called as Equation. Two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.

Two or more expressions with an Equal sign is called as Equation.

We need to find two numbers whose product is  1/4 and add to -1.

Let the two numbers are x and y.

By given,

Two numbers multiply to 1/4

xy=1/4

Two numbers add to -1

x+y=-1

Let x=-y-1

Substitute in equation 1.

(-y-1)y=1/4

-y²-y-1/4=0

Multiply negative on both sides

y²+y+1/4=0

Use quadratic formula

b=1,c=1/4,a=1

y=-1±√1-1/2=-1/2

Now substitute y in x+y=-1

x-1/2=-1

x=-1+1/2

x=-1/2

Hence the two numbers are x =-1/2 and y=-1/2 whose product is 1/4 and which add to -1.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

The 95% confidence interval (6.9, 8.2) they obtained means that "We are 95% confident that the population mean duration is between 6.9 and 8.2 days".

Option B from the complete Question.

Step-by-step explanation:

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution if there is no information provided for the population standard deviation and it is obtained from the z-tables if the population standard deviation is known or the sample size is large enough that the sample properties can be approximated to be the same as the population properties.

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample

n = sample size

Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

So, the confidence interval (6.9, 8.2) obtained in the question means that "We are 95% confident that the population mean duration is between 6.9 and 8.2 days".

Hope this Helps!!!

Answer:

150 cans were thrown away

Step-by-step explanation:

If the weight of 10 aluminum cans=0.16 kilogram

Each can weighs=0.16 kilograms/10

=0.016kg per can

If the family threw away 2.4 kilogram of aluminum in a month,

How many cans did they throw away?

Total cans thrown away= Total kilogram of cans/each kilogram of cans

=2.4kg/0.016kg

=150 cans

150 cans were thrown away

Answer:

AB= 5 units

Image of coordinates is shown in the attachment.

Answer:

Third option is correct.

Step-by-step explanation:

Take a closer look at the box plot given in the question. The range of the values represented in the box plot is starts from where the whiskers begins from our left, and where the whiskers to our right ends. The range of values of the points awarded ranges from 0 - 100, as represented on the box plox. Also,the median is indicated by the vertical line that divides the rectangular box into two. The median point = 70.

Now, examine all the dot plots given as options. The dot plot that has a range of 0 - 100, and a median of 70, is the dot plot that best represents the box plot.

Thus, the third option among the answer choices given would be out answer. The third option shows a dot plot with range of values of points from 0 - 100, and also a median of 70 points.

Answer:

1²+3

Step-by-step explanation:

I'm not to sure I hope this helped.

Answer:

3

[tex]d\in R,\hspace{5}d\neq 0[/tex]

Step-by-step explanation:

You can solve for any variable. From the first equation, let's solve for c :

[tex]\frac{c+1}{d} =5\\\\c+1=5d\\\\c=5d-1[/tex]

Now, replace the value of c into the other equation:

[tex]\frac{30d}{2c+2} \\\\\frac{30d}{2(5d-1)+2} \\[/tex]

Using distributive property

[tex]\frac{30d}{10d-2+2} =\frac{30d}{10d} =3[/tex]

However, keep in mind that this is true for:

[tex]d\in R,\hspace{5}d\neq 0[/tex]