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irinina [24]
3 years ago
8

Through: (-3,-5), perp. to y=-1/3x+2

Mathematics
1 answer:
lara [203]3 years ago
7 0
Y = -1/3x + 2.....the slope here is -1/3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, flip the slope and change the sign. So the slope is -1/3.....flip it and it becomes - 3/1....change the sign and it becomes 3/1 or just 3. So ur perpendicular line will have a slope of 3.

y = mx + b
slope(m) = 3
(-3,-5)....x = -3 and y = -5
now sub into the formula and find b, the y int
-5 = 3(-3) + b
-5 = -9 + b
-5 + 9 = b
4 = b
so ur perpendicular equation is : y = 3x + 4 <===
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Determine if this relationship forms a direct variation. Verify your answer.
leva [86]

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

so


we have

a) for x=1 y=0.50--------> y/x=0.50/1------> 0.50

b) for x=2 y=1--------> y/x=1/2-------> 0.50

c) for x=3 y=1.50--------> y/x=1.50/3-----> 0.50

d) for x=5 y=2.50--------> y/x=2.50/5----> 0.50

the value of k is equal to 0.50

so

<span>the relationship forms a direct variation. </span>

the equation is

y=0.50*x


Verify

for x=1

y=0.50*(1)------> y=0.50-----> is correct


for x=2

y=0.50*(2)------> y=1.00-----> is correct


for x=3

y=0.50*(3)------> y=1.50-----> is correct


for x=5

y=0.50*(5)------> y=2.50-----> is correct

4 0
3 years ago
Read 2 more answers
Thomas brings over 1/2 of his marble collection. He divides these marbles equally among 3 friends. What fraction of Thomas's ent
aleksley [76]

Answer:

Each of the three friends will get one-sixth of the Thomas's enitre marble collection.

Step-by-step explanation:

Fraction of the total marble collection brought by Thomas = \frac{1}{2}

Now, Thomas divides these marbles equally among his three friends. So, each of the three friends will get one-third of the total marble collection brought by Thomas.

Fraction of total marble collection got by each friend = \frac{1}{3} \;of\;fraction\;of\;total\;marble\;collection\;brought\;by\;Thomas

= \frac{1}{3}\times\frac{1}{2}=\frac{1}{6}

∴ Each of the three friends of Thomas will get one-sixth of his entire collection of marbles.

7 0
3 years ago
1.6 × 1.6 × 1.6 × 1.6
beks73 [17]

1.6 × 1.6 × 1.6 × 1.6 = 6.5536

3 0
3 years ago
In the diagram below of triangle OPQ, R is the midpoint of OQ and S is
lyudmila [28]

Answer:

Measurement of OP = 12

Step-by-step explanation:

Given:

R is mid point of OQ

S is mid point of PQ

RS = 18 – 4x

OP = -9 + 7x

Find:

Measurement of OP

Computation:

R is mid point of OQ and S is mid point of PQ;

By using mid point theorem

[1/2][OP] = RS

So,

[1/2][-9 + 7x] = [18 - 4x]

[-9 + 7x] = 2[18 - 4x]

-9 + 7x = 36 - 8x

7x + 8x = 36 + 9

15x = 45

x = 45 / 15

x = 3

So,

OP = -9 + 7x

OP = -9 + 7(3)

Measurement of OP = 12

8 0
2 years ago
Nitrogen and oxygen are the most abundant gases in Earth’s atmosphere. A nitrogen molecule is 0.00000000003 meters larger than a
Verdich [7]
= 3 × 10-11
(scientific notation)

= 3e-11
(scientific e notation)

= 30 × 10-^12
(engineering notation)
(trillionth; prefix pico- (p))

= 0.0000000000
<span>(real number)</span>
4 0
3 years ago
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