3.15 Linear Equations and Inequalities (SHOW YOUR WORK)

1.) Use the linear graph to answer the question.

A.) Identify the quadrant in which each point lies.

Point A:_____

Point B:_____

9514 1404 393

Answer:

  x ≈ -17.457  or  11.457

Step-by-step explanation:

The distance formula can help.

  d = √((x2 -x1)² +(y2 -y1)²)

Substituting given values, we have ...

  15 = √((x -(-3))² +(9 -5)²)

  225 = (x +3)² +16 . . . . . . . . square both sides

  209 = (x +3)² . . . . . . . . . . . subtract 16

  ±√209 = x +3 . . . . . . . . . take the square root

  -3 ± √209 = x . . . . . . . . subtract 3

  x ≈ -17.457  or  11.457

Answer:

Para un punto (x, y), el angulo generado entre el eje x y un rayo que conecta el origen de coordenadas con el punto es tal que:

Tan(θ) = y/x

Cos(θ) = x/(√(x^2 + y^2))

Sin(θ) = y/(√(x^2 + y^2))

Y las otras 3 relaciones trigonometricas son las inversas de las de arriba, entonces:

Ctg(θ) = x/y

Sec(θ) = √(x^2 + y^2)/x

Csc(θ) = √(x^2 + y^2)/y

En este caso tenemos el punto (4, -3), es decir:

x = 4

y = -3

Solo tenemos que reemplazar esos dos valores en las seis ecuaciones de arriba:

Tan(θ) = -3/4

Cos(θ) = 4/(√(4^2 + (-3)^2)) = 4/5

Sin(θ) = -3/(√(4^2 + (-3)^2)) = -3/5

Ctg(θ) = 4/(-3) = -4/3

Sec(θ) =  √(4^2 + (-3)^2)/4 = 5/4

Csc(θ) = √(4^2 + (-3)^2)/-3 = 5/-3 = -5/3

9514 1404 393

Answer:

  583.4 cm³

Step-by-step explanation:

We have the base dimensions, so enough information to find its area:

  A = s²

  A = (10 cm)² = 100 cm²

__

The height of the triangle is found by solving triangle AMV for the distance MV. That is found from the trig relation ...

  Tan = Opposite/Adjacent

  tan(68°) = MV/AM

The length of AM is half the diagonal of the square base, so is (10√2)/2 = 5√2. The length of MV is ...

  MV = AM·tan(68°) = 5√2·tan(68°) ≈ 17.50

So, the volume of the pyramid is ...

  V = (1/3)Bh

  V = (1/3)(100 cm²)(17.50 cm) ≈ 583.4 cm³ . . . . volume of the pyramid

Answer:

the surface area is 133cm.

7 x 7 is 49

7 x 6 is 42.

42 divided by 2 is 21.

21 x 4 is 84

So 84 + 49 is 133.

Answer:

[tex]61600[/tex]

Step-by-step explanation:

[tex]10^4\\\\10*10*10*10\\\\100*100\\\\10000\\\\\\10000*6.16\\\\61600[/tex]

Answer:

n = 5.25

Step-by-step explanation:

6.5 = 1.25 + n

6.5 - 1.25 = 1.25 - 1.25

5.25 = n

Calculation: 2/3 - 1/2 - fraction calculator. The result is 1/6 ≅ 0.1666667 = onesixth. ... Solve problems with two, three, or more fractions and numbers in one ... From a 1 meter ribbon, Ericka cut 2/4 meter for her hat and another 1/4 meter for ...

Answer:

S∞=12. Explanation: Formula for sum of infinite geometric series is. S∞=a11−r ; −1<r<1. We have a geometric series ...

Step-by-step explanation:

That's it hope it helps.^^

#carryonlearning

Answer:

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

Step-by-step explanation:

The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

Answer:

1. 8 families with 3 kids

2.25 families

3.20 families

Answer:

First, we can find the least common denominator for 8 and 3 which is 24.

5/8 = 15/24

1/3 = 8/24  

Then we can divide 15/24 by 8/24 which is 2 1/4.

If we then do 16 divided by 2 1/4 we get 7 1/9

Answer = 7 1/9

Step-by-step explanation:

Answer:

F 20%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

A bag containing the numbers 2,4,6,8,10,12.

To find:

The probability of selecting two numbers less than 10.

Solution:

We have,

Total numbers = 6

Numbers less than 10 are 2,4,6,8.

Numbers less than 10 = 4

Probability of getting a number less than 10 is:

[tex]P(\text{Less than 10})=\dfrac{\text{Numbers less than 10}}{\text{Total numbers}}[/tex]

[tex]P(\text{Less than 10})=\dfrac{4}{6}[/tex]

[tex]P(\text{Less than 10})=\dfrac{2}{3}[/tex]

We select the second number with replacement. So, the probability of second draw is same as the probability for first draw.

Probability of selecting two numbers less than 10 is:

[tex]\text{Required probability}=P(\text{Less than 10})\times P(\text{Less than 10})[/tex]

[tex]\text{Required probability}=\dfrac{2}{3}\times \dfrac{2}{3}[/tex]

[tex]\text{Required probability}=\dfrac{4}{9}[/tex]

Therefore, the probability of selecting two numbers less than 10 is [tex]\dfrac{4}{9}[/tex].

Answer:

where are the equations?

Step-by-step explanation:

tell me and I will edit my answer to answer ur question

Answer:

Step-by-step explanation:

Answer:

=70x^2-138x-72

Step-by-step explanation:

attached is the work in foil method

Answer:

7.2

Step-by-step explanation:

6^2+4^2=c^2

36+16=c^2

52=c^2

x=7.2

Answer:

C = 18

Step-by-step explanation:

There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what is C is in simplest radical form

Solution:

A triangle is a shape with three sides and three angles. Types of triangle are right angled, isosceles, scalene, obtuse, acute.

The length of the side in a triangle is directly proportional to the opposite angle (angle facing the side).

A right angled triangle is a triangle with one angle equals to 90 degrees.

Since the shortest line is 9, the angle facing the shortest line is the smallest angle. The longest line is the hypotenuse which is given as C. Trigonometric identities shows the relationship between the sides of a triangle and its angles, hence:

sin30 = 9 / C

0.5 = 9 / C

C = 9/0.5

C = 18

Answer:

Option D

Sine and cosine are same for complementary angles.

Answer: the amount of each tractor should have been 15000

Step-by-step explanation:

sorry if wrong pls don’t be mad

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Slope = Change in y over change in x

Looking at the graph, as y goes up 4 x goes up 2

Thus, slope = 4/2 or 2

Answer:

Unit rate!

Step-by-step explanation:

A unit rate is a rate that has a denominator of 1!

~ LadyBrain

Answer:

Hey mate.......

Step-by-step explanation:

This is ur answer.....

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

hi people of the 21 century

Step-by-step explanation:

Answer:

16/27

Step-by-step explanation:

12 boys and 16 girls

She already chose a boy so now there are (11+16) = 27 possible outcomes

There are 16 favorable outcomes(girl)

so the fraction is 16/27

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

This factors out to be

4(2x+5)(2x+5)

GCF is 4.

This equals 4x^2 +20x+25

[tex]\sqrt{4} \\[/tex]=2

[tex]\sqrt{100}[/tex]=10

Therefore these will be the boxes:

Blank 1: 4

Blank 2: 2

Blank 3: 10

Something that can help you with these types of problems is the "Factoring Calculator by MathPapa" Which I will not put here but can be found by searching that on an engine.

Answer:

3

Step-by-step explanation:

Answer:

320 cm squared

Step-by-step explanation:

A=2(wl+hl+hw)

2 × (12 × 4 +7 × 4+ 7 × 12)

Have a good day :)