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Anastaziya [24]
3 years ago
8

Choose the missing step in the given solution to the inequality −x − 10 > 14 + 2x. −x − 10 > 14 + 2x −3x − 10 > 14 ____

_________ x < −8 −3x > 24 −3x > 4 −3x > −4 −3x < 24
Mathematics
2 answers:
Tresset [83]3 years ago
8 0

Answer:

  −3x > 24

Step-by-step explanation:

Adding 10 to both sides of the inequality will give the missing step:

  -3x -10 +10 > 14 +10

  -3x > 24

hodyreva [135]3 years ago
3 0

Answer:

Thank you very much sqdancefan you help me so much thx again LOL

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What is the area of triangle pqr on the grid? a triangle pqr is shown on a grid. the vertex p is on ordered pair 7 and 6, vertex
horsena [70]

P(7,6), Q(1,6), R(4,2)

We have PQ parallel to the x axis. We'll call that the base,

b = 7 - 1 = 6

The altitude is then the y difference h = 6 - 2 = 4

The area is \frac 1 2 bh = \frac 1 2 (6)(4) = 12

Answer: 12 square units


In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:

(7,6), (1,6), (4,2)

(1,6), (4,2), (7,6)

The area is then half the absolute value of the sum of the cross products:

A = \frac 1 2 | 7(6)-6(1) + 1(2)-6(4) + 4(6)-2(7) | = \frac 1 2 |24| = 12


6 0
3 years ago
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Simplify 5/4 x -8y - 1/4x + 7y + 3
galina1969 [7]

Answer:

x-y+3

Step-by-step explanation:

5/4x-8y-1/4x+7y+3

5/4x-1/4x-8y+7y+3

4/4x=x

x-8y+7y+3

x-y+3

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What is 15456415 times 45415
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4 years ago
What is the constant of proportionality for 6,47.94?
Maurinko [17]

\boxed{k=7.99}

<h2>Explanation:</h2>

In this exercise, we have the following point:

(6,47.94)

Let's assume that y varies directly as x, so this implies we can writ y as the product of x and some non-zero real constant k. In a mathematical language:

y=kx

As you can see, this is the equation of a line whose slope is k and passes through the origin. Therefore, the slope of the line is the constant of proportionality we are looking for:

Solving \ the \ equation \ for \ k: \\ \\ k\frac{y}{x} \\ \\ Where: \\ \\ x=6 \\ y=47.94 \\ \\ k=\frac{47.94}{6} \\ \\ \therefore \boxed{k=7.99}

<h2>Learn more:</h2>

Direct and indirect proportionality: brainly.com/question/10945121

#LearnWithBrainly

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3 years ago
What is 2 plus 2 minus 17
nataly862011 [7]

<em>The result is -13</em>

<h2>Explanation:</h2><h2 />

Here we have the following addition problem:

2+2-17

So let's solve this step by step:

Step 1. Perform two plus two.

2+2=4

So:

2+2-17=4-17

Step 2. Perform the subtraction.

Since the sign (-) accompanies 17 which is greater than 4, then we perform the subtraction and add the sign (-) to the result. So:

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<em>Finally, the result is -13</em>

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Distributive property: brainly.com/question/10794694

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