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harina [27]
3 years ago
6

Write an equation in slope-intercept line form form for the line perpendicular to 2x-3y=12 that passes through the point (8,5)

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
8 0

Answer:

3x+2y=34

Step-by-step explanation:

L1: 2x-3y=12 => the slope m1=-2/(-3)=2/3

L2 perpendicular to L1 => m2= -1/m1=  -3/2

the point A(8,5) ∈ L2

=> y–yA=m2(x–xA)

L2: y-5=-3/2 *(x-8)

L2: 2y-10=-3x+24

L2: 3x+2y=34

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Let u = &lt;-9, 4&gt;, v = &lt;8, -5&gt;. Find u - v. <br> URGENT
Pie

To subtract vectors, you simply have to subtract correspondent coordinates.

So, if you have

u = \langle u_1,\ u_2,\ldots u_n\rangle ,\quad v = \langle v_1,\ v_2,\ldots v_n\rangle

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3 years ago
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3 0
3 years ago
The drawing shows a stack of paper cups. The cups are 20 cm high. Each cup after the first adds 0.8 cm to the height of the stac
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<u>Answer:</u>

The total number of whole cups that we can fit in the dispenser is 25

<u>Solution:</u>

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The stack of cups has to be put in a dispenser of height 30 cm.

So we need o find out how many cups can fit in the dispenser.

Since the first cup is 20 cm high, the height cannot be reduced. So the space to fit in the remaining cups in the stack is only 30-20 cm as that’s the remaining space in the dispenser

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As we know that addition of each adds 0.8 cm to the stack, the total number of cups that can be fit in the dispenser can be calculated by the following equation. Let the number of cups other than the first cup be denoted by ‘x’.

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3 years ago
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