y=-3x+5

5x - 4y= -3

solvining systems of equations by substitution


Answers

Answer 1
Answer: \left\{\begin{array}{ccc}y=-3x+5\n5x-4y=-3\end{array}\right\n\n\nsubstitute\n\n5x-4(-3x+5)=-3\n5x+12x-20=-3\n17x-20=-3\n17x=-3+20\n17x=17\ \ \ \ /:17\nx=1\n\ny=-3\cdot1+5=-3+5=2\n\n \left\{\begin{array}{ccc}x=1\ny=2\end{array}\right

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Which of the following is a factor of 3x3 + 18x2 + 27x?9x x3 x + 3 x - 3

1.) Simplify
(2a^2b^4z)(6a^3b^2z^5)

Answers

Step-by-step explanation:

Simplifying

(2a2b4z)(6a3b2z5)

Remove parenthesis around (2a2b4z)

2a2b4z(6a3b2z5)

Remove parenthesis around (6a3b2z5)

2a2b4z * 6a3b2z5

Reorder the terms for easier multiplication:

2 * 6a2b4z * a3b2z5

Multiply 2 * 6

12a2b4z * a3b2z5

Multiply a2b4z * a3b2z5

12a5b6z6

Find ∅ round to the nearest degree
A. 24°
B. 66°
C. 64°
D. 26°​

Answers

Answer:

C

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosθ = (adjacent)/(hypotenuse) = (7)/(16) , then

θ = cos^(-1) ((7)/(16) ) ≈ 64° ( to the nearest degree )

The run is the _________ change between two points along a line

Answers

Run is the horizontal change between points. Run in slope means the change in "x" .

Answer:

The run is thehorizontal change between two points along a line

Step-by-step explanation:

The slope of a line can be defined as

\text{Slope}=\frac{\text{Rise}{\text{Run}=(\Delta y)/(\Delta x)

On comparing, we can say below mentioned things:

The run is always in the x direction and we take the horizontal axis as x-axis.

And rise is always in the y direction and we take the vertical axis as y-axis.

Therefore, we can conclude that  the run is thehorizontal change between two points along a line

Find the sine of ∠A.

Answers

Based on the right-angle triangle shown below, thesine of ∠A include the following: B.) 3/5.

In order to determine the magnitude of angle A, we would apply the basic sine trigonometric ratio because the given side lengths represent the opposite side (CB) and hypotenuse (AB) of a right-angled triangle;

sin(θ) = Opp/Hyp

Where:

  • Opp represent the opposite side of a right-angled triangle.
  • Hyp represent the hypotenuse of a right-angled triangle.
  • θ represent the angle.

Based on sine trigonometric ratio, the magnitude of angle A can be calculated as follows:

sin(θ) = Opp/Hyp

sin(A) = CB/AB

sin(A) = 3/5.

In conclusion, we can reasonably and logically deduce that thesine of angle A (m∠A) is 3/5.

Complete Question:

Find the sine of ∠A.

A.) 3/4

B.) 3/5

C.) 4/5

D.) 4/3

sin A=(opposite leg)/hypotenuse= 3/5=0.6
For angle A , opposite leg is BC=3
Hypotenuse = 5

How to put 40,023,032 in expanded form

Answers

40,023,032 = 40,000,000 + 20,000 + 3,000 + 30 + 2

Find the distance between the two points. (-1, 6), (2, 8) Round to the nearest hundredth

Answers

The distance between points (-1, 6) and (2, 8) is obtained as 3.59 units.

How to use distance formula?

The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)² + (y₁ - y₂)²).

By knowing the sides, the area of different polygons such as parallelogram, trapezium and rectangles etc. can be found.

The coordinates of the given points are (-1, 6) and (2, 8).

Apply distance formula to get the distance as below,

Distance = √((-1 - 2)² + (6 - 8)²) = √13 = 3.59

Hence, the required distance between the two points is given as 3.59 units.

To know more about distance formula click on,

brainly.com/question/28956738

#SPJ2

Answer:

d = √(13) or d = 3.61

Step-by-step explanation:

d= √((x_2-x_1)^2+(y_2-y_1)^2)\nd= √((2-(-1))^2+(8-6)^2)\nd= √((3)^2+(2)^2)\nd= √(9+4)\nd= √(13)