(08.02 MC)

A pair of equations is shown below:

y = 2x − 1
y = 4x − 5

Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)

Part B: What is the solution to the pair of equations? (4 points)

Answer:

(2/3) foot =  8 inches

Answer:

They are congruent

Step-by-step explanation:

The reason that WK is congruent to WL is because both come from the same origin of W and they both end up in the same place on their side. Which means if WK and WL are congruent, that means that AK and AL are congruent as well.

Answer:

44

Step-by-step explanation:

50% is half of the whole

88/2=44

Answer:

44

Step-by-step explanation:

88/2

The answer is 'Right'.

Step-by-step explanation:

Sum of angles in a triangle = 180°

Angle C = 180 - 58 - 32

= 90°

90° is defined as a right angle.

Therefore, triangle ABC is classified as a right-angled triangle.

9514 1404 393

Answer:

 5

Step-by-step explanation:

Put the numbers where the letters are and do the arithmetic.

  5(3) -2(5) = 15 -10 = 5

Answer:

5

Step-by-step explanation:

5m - 2n

Where, we have given ; m = 3 & n = 5

plug the value in the equation

Answer:

fact

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

8000, 8000, 7000, 11000, 15000, 17000, 20000, 1000000.

Mean = Σx / n = 1086000 / 8 = 135750

Median = 1/2(n+1)th term = 8000

The lower quartile :

Q1 = 1/4(n+1)th term

Q1 = 8000

Q3 = 3/4 (n+1)th term

Q3 = 18500

IQR = 18500 - 8000 = 10500

OUTLIER :

8000 - (1.5*(10500)) = - 7750

18500 + (1.5*(10500)) = 34250

10% trimmed mean

10% * 8

Cut off 1 from the top and bottom

Data becomes : 8000, 8000, 11000, 15000, 17000, 20000

Trimmed mean = 13166

Answer:

The amount of yellow tint would be 33.84%

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Pitágoras

A^2 = B^2 + C^2

A^2 = 14^2 +5^2

A^2 = 196 + 25

A = √221

Given:

The conic equation is:

[tex]2x^2+Cy^2+3x+5y+1=0[/tex]

To find:

The value of C such that the given conic equation make a parabola.

Solution:

The general for of conic equation is:

[tex]Ax^2+Cy^2+Dx+Ey+F=0[/tex]

This equation represents a parabola is either A=0 or C=0 but not both equal to zero.

The given equation is:

[tex]2x^2+Cy^2+3x+5y+1=0[/tex]

Here, coefficient of [tex]x^2[/tex] is A=2 and coefficient of [tec]y^2[/tex] is C.

Since A is not equal to 0, therefore C must be equal to 0 to form a parabola.

Therefore, the only value of C is 0.

Answer:

10x^3 + x - 1

Step-by-step explanation:

(6x^3 -7x - 4) + (4x^3 + 8x + 3)

Combine like terms

6x^3 + 4x^3 = 10x^3

Combine like terms

-7x + 8x = x

Combine like terms

-4 + 3 = -1

Combine the results of the terms

10x^3 + x - 1

Answer:

tan B =  12 /5

sin B =  12/13

cos B =  5/13

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan B = opp/ adj = 12 /5

sin B = opp/hyp = 12/13

cos B = adj/hyp = 5/13

Answer:

Sine of B = 12/13

Cos of B = 5/13

Tan of B = 12/5

Step-by-step explanation:

In this case, the opposite is 12, the adjacent is 5 and the hypotenuse is 13.

sin is opposite/hypotenuse

cos is adjacent/hypotenuse

and

tan is opposite/adjacent

Answer:

The appropriate answer is "0.437".

Step-by-step explanation:

Given:

P(rain) = 0.14

then,

P(no-rain) = 1-P(rain)

                 = 1-0.14

                 = 0.86

P(delay) = 0.16

P(rain and on time) = 0.79

then,

By using the conditional probability, we get

⇒ [tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]

or,

⇒ [tex]P(no \ rain|delay) = \frac{P(no \ rain \cap delay)}{P(delay)}[/tex]

By substituting the values, we get

⇒                             [tex]=\frac{0.07}{0.16}[/tex]

⇒                             [tex]=0.437[/tex]  

Answer:

f(3) = 326

Step-by-step explanation:

Given the function

f(n)=f(n-1)^2+2

If f(1) = 4

f(2) = f(1)^2 + 2

f(2) = 4^2 + 2

f(2) = 16 + 2

f(2) = 18

f(3) = f(2)^2 + 2

f(3) = 18^2 + 2

f(3) = 324 + 2

f(3) = 326

Answer:

third one

Step-by-step explanation:

l 3q-2 l = 7

drop absolute value symbols and set up two equations

3q - 2 = 7    or   3q - 2 = -7

3q = 9                3q = -5

q = 3                     q = [tex]\frac{-5}{3}[/tex]

Answer:

3q-2=7

The two will move other side of equal sign from - 2 to +2

3q=7+2

3q=9

/3 in both side

q=3

Step-by-step explanation:

Hey there!

According to the question;

Mass of an object (m) = 630 kg

Volume of an object (v) = 7m³

We know that;

[tex]density = \frac{mass(kg) \: }{volume( {m}^{3} )} [/tex]

or, density = (630/7) kg/m³

Therefore, density of the substance is 90kg/m².

Hope it helps!

Answer: Quadrant 3

============================================================

Explanation:

pi radians = 180 degrees

If angle [tex]\theta[/tex] (greek letter theta) is in quadrant 1, then this places the angle in the northeast quadrant. Adding 180 degrees to theta will move it to the third quadrant, which is in the southwest.

Note: when incrementing through the quadrants (1,2,3,4) we move counterclockwise.

Answer: [tex]0.00005[/tex]

Step-by-step explanation:

Given

The probability that a certain component in a communication satellite fails is 0.005.

There is an independent backup system, and the probability that is fails is 0.01

The probability that both the system fails is given by

[tex]\Rightarrow P=0.005\times 0.01\\\Rightarrow P=0.00005[/tex]

Answer:

4

Step-by-step explanation:

2/3x6=4

Answer:

3a-4ab-5

Step-by-step explanation:

(-ab+3a-3) - (3ab+2)

Distribute the minus sign

(-ab+3a-3) - 3ab-2

Combine like terms

3a-4ab-5

Answer:

[tex]-4ab+3a-5[/tex]

Step-by-step explanation:

Hi there!

[tex](-ab+3a-3) - (3ab+2)[/tex]

Open up the parentheses

[tex]-ab+3a-3- 3ab-2[/tex]

Combine like terms

[tex]-ab- 3ab+3a-3-2\\-4ab+3a-5[/tex]

I hope this helps!

Answer:

Rectangular pyramid and triangular pyramid

Step-by-step explanation:

A rectangular pyramid and triangular pyramid has the same number of faces as vertices

A pyramid is a three dimensional shape (has length, width and height) with a polygonal base and flat triangular faces.

A rectangular pyramid have same number of faces as vertices with each being 5 in number. A triangular pyramid have same number of faces as vertices with each being 3 in number.

Find out more on Pyramid at: https://brainly.com/question/25823102

Answer:

y=mx+b

Step-by-step explanation:

so that is b right?

that means its what number you start the y on

Answer:

2

Step-by-step explanation:

(x + 6) - (3x - 6)               Remove the brackets.

x + 6 - 3x + 6                 Collect like terms

Difference in points = 12 - 2x

If x = 5 then

Difference in points = 12 - 2*5

Difference in points = 12 - 10

Difference in points = 2

Answer:

[tex] x_{1} = 3 + \sqrt {6} [/tex]

[tex] x_{2} = 3 - \sqrt {6} [/tex]

Step-by-step explanation:

Given the quadratic equation;

x² - 6x + 3 = 0

To find the roots of the quadratic equation, we would use the quadratic formula;

Note: the standard form of a quadratic equation is ax² + bx + c = 0

a = 1, b = -6 and c = 3

The quadratic equation formula is;

[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]

Substituting into the formula, we have;

[tex] x = \frac {-(-6) \; \pm \sqrt {-6^{2} - 4*1*(3)}}{2*1} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 - (12)}}{2} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 - 12}}{2} [/tex]

[tex] x = \frac {6 \pm \sqrt {24}}{2} [/tex]

[tex] x = \frac {6 \pm 2 \sqrt {6}}{2} [/tex]

[tex] x_{1} = \frac {6 + 2 \sqrt {6}}{2} [/tex]

[tex] x_{1} = \frac {6}{2} + \frac {2 \sqrt {6}}{2} [/tex]

[tex] x_{1} = 3 + \sqrt {6} [/tex]

Or

[tex] x_{2} = \frac {6 - 2 \sqrt {6}}{2} [/tex]

[tex] x_{2} = \frac {6}{2} - \frac {2 \sqrt {6}}{2} [/tex]

[tex] x_{2} = 3 - \sqrt {6} [/tex]

Answer:

10

Step-by-step explanation:

10x²-14x+k = 0

x1 = sin a

x2= cos a

x1+x2 ≤ 2

x1. x2 ≤ 1 => k/10 ≤ 1

k ≤ 10

so the value of k should be 10

Answer:

y=6

the first equation:

3(1)+y=9

3+y=9

y=6

the second equation:

y= -4(1)+10

y= -4+10

y=6

I hope this helped! :)