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Zolol [24]
3 years ago
10

What is the slope of the line that passes through the given points? (2,12) and (6,11)

Mathematics
1 answer:
Archy [21]3 years ago
6 0

Answer:

m= - 1/4  

Step-by-step explanation:

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Prove that 3:8 is equal to 12:32 and use a diagram
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3 times 4 =12 8 times 4=32
So 12:32 is the same as 3:8
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Round 5.74 to the nearest whole number.
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Quadrilateral ABCD is a rectangle. If AG = -7j + 7 and DG = 5j + 43, find BD
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<em>BD</em> = 56

Step-by-step explanation:

Step 1: In rectangle, the diagonals are congruent and bisect each other.

So, <em>AC</em> = <em>BD</em>

⇒<em>AG</em> + <em>GC</em> = <em>BG</em> + <em>GD</em>

⇒<em>AG</em> + <em>AG</em> = <em>GD</em> + <em>GD</em>

⇒ 2<em>AG</em> = 2<em>GD</em>

⇒<em>AG</em> = <em>GD</em>

⇒ –7<em>j </em>+ 7 = 5<em>j</em> + 43

⇒–7<em>j</em> – 5<em>j</em> = 43 – 7

⇒–12<em>j</em> = 36

⇒<em>j</em> = –3

Step 2: <em>BD</em> = 2<em>DG</em>

<em>BD</em> = 2(5<em>j</em> + 43)

     = 2(5 (–3) + 43)

     = 2(–15 + 43)

     = 2 × 28

     = 56

Hence, <em>BD</em> = 56.

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3 years ago
Lupita rides a taxi that charges a flat rate of $6.75 plus $3.20 per mile. If the taxi charges Lupita $40.03 in total for her tr
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Hello! In order to understand this question, we need to take a look at the content that is involved.

Lupita pays $40.03 in total. Meaning that's where we are going to start if we want to find out how many miles her ride was. Since the taxi charges a flat rate of $6.75. We would want to subtract it from her total value because we only work with that flat rate once. Which ends up giving us $33.28. From there, we don't need to worry about the flat rate anymore and we now focus on the mileage. If it costs $3.20 per mile, then we can simply divide the amount after to flat rate by the cost per mile, to figure out how many miles she has gone. In the end, you will get 10.4 miles.
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Each flower arrangement will have 5 lillies and 13 roses
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