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3 years ago

A system of linear equations is graphed below. What is the solution to the system?

Mathematics

2 answers:

zysi [14]3 years ago

3 0

(-3,2)

Explanation: u just have to find the point where the two line intersects to each other

telo118 [61]3 years ago

3 0

Answer:

Looking at the graph, the point at which the 2 lines cross is

x = -3 and y = 2

That is the solution.

Step-by-step explanation:

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Write the equation of the line that passes through the points (-6,-1) and (-4,2). Put your answer in fully simplified point-slop

Archy [21]

$(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{(-6)}}} \implies \cfrac{2 +1}{-4 +6} \implies \cfrac{ 3 }{ 2 }$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{(-6)}) \implies {\large \begin{array}{llll} y +1= \cfrac{3}{2} (x +6) \end{array}}$

4 0

1 year ago

Point LL is located at (4,5)(4,5) on the coordinate plane. Point LL is reflected over the yy-axis to create point L'L ′ . What o

Virty [35]

Answer:

(-4, 5)

Step-by-step explanation:

Since the pint is reflected over the y-axis, its y-coordinate remains the same.

Point (4, 5) has 4 as its x-coordinate. That is 4 units right of the y-axis. The reflection has -4 as its x-coordinate which is 4 units left of the y-axis.

Answer: (-4, 5)

8 0

3 years ago

Simplify

OlgaM077 [116]

Answer:

see below

Step-by-step explanation:

$\frac{x-1}{x^2-3x+2}+ \frac{x-2}{x^2-5x+6} +\frac{x-5}{x^2-8x+15}$

we need to simplify that

$x^2-3x+2=(x-1)(x-2)\\\\x^2-5x+6=(x-2)(x-3)\\\\x^2-8x+15=(x-3)(x-5)$

so we can continue

$\frac{x-1}{(x-1)(x-2)}=\frac{1}{x-2}\\\\\frac{x-2}{(x-2)(x-3)} =\frac{1}{x-3}\\\\\frac{x-5}{(x-3)(x-5)} =\frac{1}{x-3}$

and we can put all together

$\frac{1}{x-2}+ \frac{1}{x-3}+ \frac{1}{x-3}\\\\\frac{1}{x-2} +\frac{2}{x-3}\\\\\frac{x-3}{(x-3)(x-2)}+ \frac{2(x-2)}{(x-2)(x-3)} \\\\\frac{x-3+2x-4}{(x-3)(x-2)}\\\\\frac{3x-7}{x^2-5x+6}$

3 0

3 years ago

The population of a parish is growing with an annual percentage rate compounded continuously. The population reaches 1.1 times i

coldgirl [10]

Answer:

Growth rate = ln(1.1)/2

Step-by-step explanation:

Given:

P1 = 1.1 P0

Number of year n = 2

Computation:

P1 = P0[eⁿˣ]

x = growth rate

So,

1.1 P0 = P0[eⁿˣ]

1.1 = eⁿˣ

1.1 = e²ˣ

By taking log

Growth rate = ln(1.1)/2

6 0

3 years ago

As Greg swam across an 80 - meter river, the current carried him 30 m downstream. How

Leya [2.2K]

Answer:

85.44

Step-by-step explanation: bee go buzz squared by 2

8 0

3 years ago