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salantis [7]
3 years ago
13

Suppose the midpoint of (AB) is M= (3,0) if point A has the coordinates of (-1,4) then what are the coordinates of B?

Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0

Answer:

<h3>             B(7, -4)</h3>

Step-by-step explanation:

Point M being midpoint of AB means:

x_M-x_A=x_B - x_M\qquad\quad\ \wedge\qquad y_M-y_A=y_B - y_M\\\\ 3-(-1)=x_B-3\qquad\wedge\qquad 0-4=y_B -0\\\\ {}\qquad x_B=7\qquad\qquad\wedge\qquad\qquad \ y_B=-4

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All are equivalent except x&lt;-2, x-2&lt;4, 2x&lt;-4, x-2&lt;-4 ?
m_a_m_a [10]
To figure out which is not equivalent to the others,, we must solve each option provided. x < -2 is already solved,, so there is no need to do any work that option.
The first step for solving x - 2 < 4 is to move the constant to the right side and then change its sign.
x < 4 + 2
Now add the numbers together to get your final answer.
x < 6
This means that we have one option that equals x < -2 and one option that equals x < 6.
Let's now solve 2x < -4 to see what that one equals. In order to solve this,, we need to divide both sides of the inequality by 2.
x < -2
Now we can see that it looks like all of the expressions are equivalent except for x - 2 < 4. Before we can confirm this though,, let's solve for x - 2 < -4. The first step for solving this is to move the constant to the right side and change its sign.
x < -4 + 2
Now calculate the sum of these two numbers to get your final answer.
x < -2
This tells us that all of the options are equivalent except for x - 2 < 4,, or option B.
Let me know if you have any further questions.
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4 0
3 years ago
Express 2.6kg as a percentage of 6.5 kg
fredd [130]
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4 0
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the distance from talamunda to velcratianis 700 miles. the rain takes 5 hours to travel the distance. at what unit rate is the t
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140 miles per hour to reach your 700 mile goal.

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5 0
3 years ago
How many tens are there in 10 ones? <br>​
AlexFokin [52]

Answer:

1 ten.

Step-by-step explanation:

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7 0
3 years ago
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Step 3: 2x &gt; 10 Step 4: x &gt; 5 What property justifies the work between step 3 and step 4? A. division property of inequali
BigorU [14]

Answer:

A. Division property of inequality.

Step-by-step explanation:

Let be 2\cdot x > 10, we proceed to show the appropriate procedure to step 4:

1) 2\cdot x >10 Given

2) x > 5 Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)

In consequence, the division property of inequality which states that:

\forall\, a, b, c \in \mathbb{R}. If c > 0, then:

a> b\,\longrightarrow a\cdot c > b\cdot c \,\lor\, a

But if c < 0, then:

a> b\,\longrightarrow a\cdot c < b\cdot c \,\lor\, a b\cdot c

Hence, correct answer is A.

5 0
3 years ago
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