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3 years ago

Chelsea drew two parallel lines KL and MN intersected by a transversal PQ, as shown below:

Mathematics

2 answers:

Mashutka [201]3 years ago

8 0

Answer:

The vertical angles theorem

Step-by-step explanation:

Ilia_Sergeevich [38]3 years ago

5 0

Answer:

The correct answer choice would be:

C (Same-Side Interior Angles Theorem)

Hope this helps! :)

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What is the vertex of g(x) = –3x2 + 18x + 2?

svet-max [94.6K]

G(x)=1
-3x2+18x+2
-6+18+2
6+2
8

4 0

3 years ago

Read 2 more answers

Graph the equation y = x2 + 8x + 12 on the accompanying set of axes. You must

UkoKoshka [18]

Answer:

Step-by-step explanation:

Roots: set y = x^2 + 8x + 12 = 0 and solve for x: x + 6 = 0, so x = -6 is one root. The other is x = -2. The corresponding points are (-6, 0) and (-2, 0).

y-intercept: Let x = 0. Then y = 12. The y-intercept is (0, 12).

Axis of symmetry: x = -b / (2a) => x = -8/(2*1) = -4: x = -4

Vertex y-value: evaluate y at x = - 4: (-4)^2 + 8(-4) + 12 = -4: (-4, -4)

Arbitrarily chosen x value: x = 1 => 1^2 + 8(1) + 12 = 21: (1, 21)

The five points are: (-6, 0) and (-2, 0), (0, 12), (-4, -4), (1, 21). The vertex is (-4, -4). The parabolic graph opens UP.

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3 years ago

Two ways to do a number line

lana66690 [7]

You can use a number line to add and subtract

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3 years ago

Find the slope of the line that passes through the points E(-1, 3) and F(-2, -3)

Nesterboy [21]

Answer=6

Formula for slope:

$slope= \frac{y _{2}-y _{1} }{x _{2}-x _{1} }= \frac{-3-3}{-2-(-1)} = \frac{-6}{-1}=6$

slope=6

4 0

3 years ago

X=? Find x And explain plz

dimulka [17.4K]

<h2>Answer: (x = 1)</h2>

Step-by-step explanation:

We are given the equation 6(5x - 3) = 1/3(24x + 12), and we must find the value of x.

The first step is to distribute. Distribute the 6 to 5x and -3, and distribute 1/3 to 24x and 12. This give us the equation 30x - 18 = 8x + 4 to work with.

The next step is to get x by itself. In order to do this, subtract 18 from each side of the equation. This gives get's rid of the -18 and get's x by itself on one side of the equation and gives us the equation 30x = 8x +22.

Now that x is by itself on one side of the equation, get 22 by itself on the other side of the equation. The way to do this is to subtract 8x from each side. This gives us the equation 22x = 22.

Divide both sides by 22 and get the equation x = 1

$6(5x - 3) = \frac{1}{3} (24x + 12)$