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OLga [1]
2 years ago
5

AB has coordinates A(-5,9) and B(7,- 7). Points P, Q, and I are collinear

Mathematics
1 answer:
VMariaS [17]2 years ago
6 0

Answer:

\overline{QT}

Step-by-step explanation:

We want to find the coordinates of a certain point C(x,y) such that C divides A(x_1,y_1) and B(x_2,y_2) in the ratio m:n=3:2

The x-coordinate is given by:

x=\frac{mx_2+nx_1}{m+n}

The y-coordinate is given by:

y=\frac{my_2+ny_1}{m+n}

AB has coordinates A(-5,9) and B(7,- 7)

We substitute the values to get:

x=\frac{3*7+2*-5}{3+2}

x=\frac{21-10}{5}

x=\frac{11}{5}

and

y=\frac{3*-7+2*9}{3+2}

y=\frac{-21+18}{5}

y=-\frac{3}{5}

Therefore C has coordinates  (\frac{11}{5},-\frac{3}{5})

The line segment that contains C is \overline{QT}

See attachment.

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yuradex [85]

I think you can use cosine rule if only the lines that form the <52 are equal.

6 0
3 years ago
A table and 8 chairs weigh 235.68 lb together. If the table weighs 157.84 lb, what is the weight of one chair in pounds?
Alona [7]

Answer: 9.73 lb each chair

Step-by-step explanation:

You substract the weight of the table alone from the full weight:

235.68 - 157.84=77.84

Then you divide 77.84 by 8 chairs and you obtain the weight of each individual chair

77.84/8= 9.73 the weight of each individual chair

7 0
3 years ago
Read 2 more answers
Tyger is trying to eat less sugar in his diet.He reduces his sugar intake from 15 spoons a day to 9 1/2 spoons a day. What is th
seraphim [82]

Answer:the percentage decrease is 36.67%

Step-by-step explanation:

Initial amount of sugar in his diet is 15 spoons in a day. Currently, the amount of sugar in his diet is 9 1/2 spoons in a day. Converting to decimal, it becomes 9.5 spoon in a day. The amount by which he reduced his sugar intake is 15 - 9.5 = 5.5 spoons.

Percentage decrease would be expressed as

Amount by which the intake decreased/ initial intake × 100

It becomes

5.5/15 × 100 = 36.67%

8 0
3 years ago
9 11/12- 2 8/11 is a problem that i need help on
Vitek1552 [10]
Hey there!!

Okay here are the steps you can follow!

9 11/12  ---->  improper fraction  ----> 119/12
2 8/11  ---->  improper fraction  ---->  30/11

119/12  -  30/11
(119/12  -  30/11) * 132
11(119)  -  12(30)
1309 - 360
<u>949</u>
3 0
3 years ago
Select all instances in which the variable described is binomial.
tino4ka555 [31]

Answer: a. , c. , d., e.

Step-by-step explanation:

A variable that counts how many times a certain event occurs in a particular number of trials is known as binomial random variable.

For each trial, there exist only two outcomes .

The probability of for each event is the same on each trial.

a.  Event has two outcomes with same probability as 0.50, therefore the  random variable represents the total number of flips required to get tails is a binomial random variable.

b. Total guidelines are 5.

Here total outcomes are not 2 , it does not meet with the conditions of binomial.

c. The random variable represents the total number of children from this pair of parents with blue eyes has two outcomes (where has or not.)

also, the probability of having blue eyes is same in each trial, so it represents binomial random variable.

d. The random variable represents the total number out of 567 customers with a checking account has two outcomes (checking or savings).

So, it represents binomial random variable.

e. The random variable represents the total number of ace cards observed has two outcomes ( ace or not ace).

So it represents the binomial random variable.

7 0
3 years ago
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