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Nady [450]
3 years ago
6

Which equation is a point slope form equation for line AB ?

Mathematics
1 answer:
kap26 [50]3 years ago
3 0

Answer:

y-5=\frac{3}{4}(x-6)

Step-by-step explanation:

we know that

The equation of a line in point slope form is equal to

y-y1=m(x-x1)

step 1

Find the slope m

we have the points

A(-2,-1),B(6,5)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{5+1}{6+2}

m=\frac{6}{8}

simplify

m=\frac{3}{4}

step 2

Find the equation of the line

we have

(x1,y1)=(6,5)

m=\frac{3}{4}

substitute

y-y1=m(x-x1)

y-5=\frac{3}{4}(x-6)

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15. Find M /_ B.
aliina [53]

Answer:

m∠B=79°

Step-by-step explanation:

∠A +∠B+∠C+∠D=360°

14x-11+8x+7+5x+18+10x+13=360°

37x+27=360°

37x=333

x=9

so,

m∠B=8x+9

m∠B=8×9+7

m∠B=79°

Hope it helps!

7 0
2 years ago
Read 2 more answers
HELP PLEASE!!! I need help with 94 if you could show the steps that would be very helpful!
aksik [14]
A combination is an unordered arrangement of r distinct objects in a set of n objects. To find the number of permutations, we use the following equation:

n!/((n-r)!r!)

In this case, there could be 0, 1, 2, 3, 4, or all 5 cards discarded. There is only one possible combination each for 0 or 5 cards being discarded (either none of them or all of them). We will be the above equation to find the number of combination s for 1, 2, 3, and 4 discarded cards.

5!/((5-1)!1!) = 5!/(4!*1!) = (5*4*3*2*1)/(4*3*2*1*1) = 5

5!/((5-2)!2!) = 5!/(3!2!) = (5*4*3*2*1)/(3*2*1*2*1) = 10

5!/((5-3)!3!) = 5!/(2!3!) = (5*4*3*2*1)/(2*1*3*2*1) = 10

5!/((5-4)!4!) = 5!/(1!4!) = (5*4*3*2*1)/(1*4*3*2*1) = 5

Notice that discarding 1 or discarding 4 have the same number of combinations, as do discarding 2 or 3. This is being they are inverses of each other. That is, if we discard 2 cards there will be 3 left, or if we discard 3 there will be 2 left.

Now we add together the combinations

1 + 5 + 10 + 10 + 5 + 1 = 32 choices combinations to discard.

The answer is 32.

-------------------------------

Note: There is also an equation for permutations which is:

n!/(n-r)!

Notice it is very similar to combinations. The only difference is that a permutation is an ORDERED arrangement while a combination is UNORDERED.

We used combinations rather than permutations because the order of the cards does not matter in this case. For example, we could discard the ace of spades followed by the jack of diamonds, or we could discard the jack or diamonds followed by the ace of spades. These two instances are the same combination of cards but a different permutation. We do not care about the order.

I hope this helps! If you have any questions, let me know :)








7 0
3 years ago
Can you help me on question 23
const2013 [10]

Answer:

your answer is D

Step-by-step explanation:

8 0
2 years ago
A chemist is using 336 milliliters of a solution of acid and water. If 19.4 % of the solution is acid, how many milliliters of a
denpristay [2]

Answer:

65.2 milliliters

Step-by-step explanation:

The quantity 336 milliliters is the 100% of the solution. We can represent this information on a table:

Milliliters        Percentage of solution

     336        ⇔            100%

we are told that 19.4% of this solution is acid, and we need to know how many milliliters represents this percentage. I will call the number of milliliters of acid on the solution 'x', and updating the last table:

Milliliters        Percentage of solution

     336        ⇔            100

     x             ⇔            19.4%

We can solve this problem for 'x' using the<u> rule of three</u> which is to multiply the cross quantities on the table (336 by 19.4) and then divide by the remaining amount (100):

x = 336(19.4)/100

x = 6,518.4/100

x = 65.184

which rounding to the nearest tenth is: 65.2 milliliters

8 0
3 years ago
Vong grilled 21 burgers. He grilled the same number of pounds of turkey burgers as burgers. Turkey burger weighed 1/4 pound and
d1i1m1o1n [39]

Answer:

12 turkey burgers 9 hamburgers

Step-by-step explanation:

5 0
3 years ago
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