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liraira [26]
2 years ago
14

Is the line through points P(-8,-10) and Q(-5,-12) perpendicular to the line through points R(9,-6) and S(17,-5)? Explain.

Mathematics
1 answer:
Brut [27]2 years ago
5 0
Consider this option:
1. rule: if the scalar product PQ*RS=0, then PQ⊥RS.
2. PQ=(3;-2), RS=(8;1).
3. The scalar product of PQ*RS=3*8-1*2=22≠0. The line included PQ is not perpendicular to the line included RS.
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7. A total of $12,000 was invested in two types of bonds. One pays 8% simple interest while the other
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Answer:

Step-by-step explanation:

Let x = $ invested in 8% account

y= $ invested in 10.5% account

x + y= 12000

0.08x + 0.105y = 1145

$4600 invested in the 8% account

and $7400 invested in the 10.5%

account

6 0
2 years ago
Which equation shows 2.4 as the constant of proportionality?
Nata [24]
I think it's c because if its proportional it should also be linear and c is the only linear equation
7 0
2 years ago
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Tamiku [17]

Answer:

<em>t=60</em>

Step-by-step explanation:

3/2t-16=4/3t-6

(subtract 4/3t from both sides)

3/2t-16-4/3t=-6

(add 16 to both sides)

3/2t-4/3t=-6+16

(simplify)

1/6t=10

(divide by 1/6 (or multiply by 6 on both sides)

t=60

7 0
2 years ago
Joel maps his house and his school on a coordinate grid where each unit is 1 block. His school is at (-7, -2). His house is at (
zhenek [66]

Answer:

10 blocks

Step-by-step explanation

check the image attached, the y coordinate of  his school and house are the same that is, -2 so all we have to do is check the distance between x coordinates

that is , -7 and 3

distance between school and his house = 3 - (-7) = 10 blocks

3 0
2 years ago
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yaroslaw [1]

This question is based on least common multiple method.

As given in the question,

Aunts are taking pictures in group of = 5

Uncles are taking pictures in group of = 10

So we have been asked what is the minimum number of aunts Sana have.

As we have been given that the number of aunts and uncles is equal so to find the minimum number of aunts we will apply the least common multiple method.

So we get LCM of 5,10 as 10

Hence there are minimum 10 aunts.


3 0
2 years ago
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