What is the value of y in the solution to the system of equations?

17) slope and y-intercept

Reptile [31]

Answer:

1. slope=1/2

2. slope=3/6 or 1/2

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What is the slope of the line passing through points A(−18,24) and B(16,−8)?

Anastaziya [24]

y2-y1 -8-24 -32 -1*2*2*2*4 16
M= --------- = ----------- = ------ = --------------- = ------
x2-x1 16-(-18) -2 -1*2 1

6 0

3 years ago

Billy is hiking in Colorado. He walks eastward four miles, then turns $60$ degrees northward and walks six miles. How far is he

nikklg [1K]

He is 2√19 miles far way from starting point.

Suppose Billy starts at point A, turns at point B, and ends at point D, as shown below.

If Billy turns 60◦ northward and walks six miles, then we can draw a 30 − 60 − 90 triangle whose hypotenuse is 6 miles

It follows that Billy traveled 6/2 = 3 miles eastward during these 6 miles, and that he traveled 3√3 miles northward during these 6 miles. In total, Billy traveled 4 + 3 = 7 miles eastward and 3√ 3 miles northward.

By the Pythagorean Theorem, the distance from his starting point is q:

(7)2 + (3√3)2

=√49 + 27

= √76

= 2√19 .

Learn more about Pythagorean Theorem on:

brainly.com/question/20545047

#SPJ4

5 0

1 year ago

Question 12 Multiple Choice Worth 1 points)(07.05 MC)1086Which of the following functions best represents the graph?fix)=(x-2)(x

vlada-n [284]

The graph of a function is given. It is required to find the function that represents the graph.

Notice from the graph that the function has roots or zeros at -3,-2, and 2.

Hence, the function takes the form:

$\begin{gathered} f(x)=a(x-(-3))(x-(-2))(x-2) \\ \Rightarrow f(x)=a(x+3)(x+2)(x-2) \end{gathered}$

Where a is a constant to be determined.

Notice that the given graph passes through the point (0,-12).

Substitute x=0 and f(x)=-12 into the equation of the function to find a:

$\begin{gathered} -12=a(0+3)(0+2)(0-2) \\ \Rightarrow-12=a(3)(2)(-2) \\ \Rightarrow-12=-12a \\ \text{ Swap the sides of the equation:} \\ \Rightarrow-12a=-12 \\ \text{ Divide both sides by }-12: \\ \Rightarrow\frac{-12a}{-12}=\frac{-12}{-12} \\ \Rightarrow a=1 \end{gathered}$

Hence, the function is:

$\begin{gathered} f(x)=1(x+3)(x+2)(x-2) \\ \Rightarrow f(x)=(x+2)(x+3)(x-2) \end{gathered}$ <h2>The third option is the answer: f(x)=(x+2)(x+3)(x-2).</h2>

5 0

1 year ago

Solve the proportion to determine the value of x. <br><br> 2x / 5 = x+3 / 3

ale4655 [162]

When you solve a proportion, your first step should be to cross-multiply.

$\frac{2x}{5}$ = $\frac{x + 3}{3}$

When you cross-multiply, you should get this equation:

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

Now, solve it using algebra.

(2x)(3) = (x + 3)(5) Multiply
6x = 5x + 15 Subtract 5x from both sides
x = 15

The value of x is 15.

4 0

3 years ago