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yulyashka [42]
3 years ago
14

What is the slope of a line perpendicular to the graph of the equation 5x-3y=2?

Mathematics
1 answer:
swat323 years ago
8 0

The 2 does not matter in this case because it does not affect the slope. We can simplify this question to get 5x-3y=0. Move the -3y to the right to get

5x=3y.

Divide by 3 to get:

5x/3=y

Therefore, the slope is 5/3. But to find the slope of the line perpendicular to it,  you multiply by -1 and then reciprocate it. So, you get -3/5 as your slope. .

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HELPPPP
Yuki888 [10]

Dilation about the origin multiplies every coordinate by the scale factor.

C' = 4(-5, 2) = (-20, 8)

A' = 4(-4, 4) = (-16, 16)

T' = 4(-1, 2) = (-4, 8)

7 0
3 years ago
Find the first 5 terms of the arithmetic sequence : a(1)=-3 , a(17)=-20
madreJ [45]
The explicit formula for arithmetic sequence is:
an=a+(n-1)d
where:
a=first term
d=common difference 
given:
a3=22
a(17)=-20
substituting this in our equation we get:
22=a+(3-1)d
22=a+2d
a=22-2d........i

also:
-20=a+(17-1)d
-20=a+16d.....ii
but substituting i in ii we get:
-20=22-2d+16d
-20-22=14d
-42=14d
d=-3
but:
a=22-2d
a=22-2(-3)
a=28
thus the formula will be:
an=28-3(n-1)
thus the first term will be 28
the 2nd term will be:
a2=28-3(2-1)
a2=25

the 3rd term will be:
a3=28-3(3-1)
a3=28-6
a3=22

a4=28-3(4-1)
a4=28-9
a4=15

a5=28-3(5-1)
a5=28-3(4)
a5=28-12
a5=15

5 0
3 years ago
If two distinct planes intersect , then their intersection is a line . Which geometry term does the statement represent
Rom4ik [11]

Answer:

POSTULATE

Step-by-step explanation:

<em>A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven </em>

<em> </em>

<em>  </em>

<em> </em>

<em>In geometry, the theorem is considered valid or correct with which its assertion is practically not refuted by almost anyone, whether it is really true or not. </em>

<em> </em>

<em>  </em>

<em> </em>

<em>This, in practice, implies that all students of the subject share the same criteria on the theory. Thus, the postulates, in short, have the following characteristics: </em>

<em> </em>

<em>  They are presumed true by most of the scholars in the field. </em>

<em> </em>

<em>Its contradiction goes against the very essence of the subject. </em>

<em> </em>

<em>Postulate 6: If two planes intersect, then their intersection is a line.</em>

<em />

<em>See Attachment for Details ^^</em>

<em>The image attached  represents the statement given in the question (If two distinct planes intersect, then their intersection is a line)</em>

<em>Therefore</em><em>, </em>

<em> </em>

<em>The Geometry term that represents the statement above is POSTULATE</em>

5 0
3 years ago
Monique runs 1/4 mile five times a week. How many miles does she run each week?
Hoochie [10]

Answer:

1 and 1/4 of a mile each week

Step-by-step explanation:

6 0
3 years ago
Distributive property for 4 2/5x10?<br><br> Distributive property for 26×2 1/2
Nimfa-mama [501]
4 2/5 x 10 = 4x 10 + 2/5 * 10
40 + 4 = 44

26 x 2 1/2 = 26 x 2 + 26 * 1/2
52 + 13 = 65
5 0
3 years ago
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