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nalin [4]
3 years ago
5

WILL GIVE BRAINLIEST!!!!!!!

Mathematics
1 answer:
lara [203]3 years ago
8 0
Paralell has same slope
slope of ax+by=c is -a/b
so a paralalell line to ax+by=c is ax+by=z where a=a and b=b and z is a constant

so
paralalel to 3x-2y=-6 is 3x-2y=?
find ?
given point (4,2)
sub
3(4)-2(2)=12-4=8

equation is 3x-2y=8
solving for slope itnercept or y
minus 3x both sides
-2y=-3x+8
divide by -2
y=3/2x-4

B is answer
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On a coordinate plane, a circle has a center at (8, 9). Concentric circles are circles with the same center but different radii.
slega [8]

Answer:

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

Step-by-step explanation:

If the circle has a center at (8,9), the equation for this circle is:

(x-8)^2 + (y - 9)^2 = r^2

All concentric circles have the same center, so their equations need to have the same left side of the equation above.

-> x2 + y2 = 25

This circle has a center at (0,0), so it's not concentric to our circle.

-> (x – 8)² + (y – 9)² = 3

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y – 9)² = 14

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y + 9)² = 3

This circle has a center at (8,-9), so it's not concentric to our circle.

-> (x + 8)² + (y + 9)² = 25

This circle has a center at (-8,-9), so it's not concentric to our circle.

-> (x + 9)² + (y + 8)² = 3

This circle has a center at (-8,-9), so it's not concentric to our circle.

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

3 0
3 years ago
Read 2 more answers
What is the GCF of 2x^3-7x^2+3x
timurjin [86]
The GCF to this question is 1x.
3 0
3 years ago
Read 2 more answers
A health club charges non-members $5 per day to swim and $9 per day for an exercise class. Members pay a yearly fee of $300 plus
Ivahew [28]

The number of days d, he must use the gym to make the membership worthwhile is at least 21 days

Equation

Non members:

Cost of swimming per day = $5

Cost of exercise per day = $9

Total = $5 + $9

= $14

Members:

Yearly fee = $300

Exercise fee per day = $4

Swimming fee = $0

The number of days d, he must use the gym to make the membership worthwhile = $300 ÷ 14

= 21.42857142857142

Approximately,

21 days

Learn more about equation:

brainly.com/question/2972832

#SPJ1

5 0
1 year ago
What are the x– and y–intercepts of the graph of y = 2x^2 – 8x – 10?
Nadya [2.5K]
<u>x-intercepts are found by setting y=0</u>
y=2x^2-8x-10\rightarrow0=2x^2-8x-10
<em>factor out a 2</em> 0=2(x^2-4x-5)\rightarrow0=x^2-4x-5
<em />0=(x-5)(x+1) <em>roots should be </em>x=-1,5
therefore, x-intercepts are (-1,0) and (5,0)
<u>
</u><u>y-intercepts are found by setting x=0</u>
y=2x^2-8x-10\rightarrow y=2(0)^2-8(0)-10
\rightarrow y=0-0-10=-10
therefore, y-intercept is (0,-10)
4 0
3 years ago
Patrick wanted to gather data about the cost of joining a community pool in his area. He plotted the data and determined that th
ohaa [14]

Answer:

The y-intercept is 40. This is the cost of registration ⇒ last answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Patrick wanted to gather data about the cost of joining a community

 pool in his area

- He plotted the data and determined that the average community

 pool membership cost consists of a one-time registration fee and

 a monthly fee

∴ The cost consists of two parts:

# Part A: one-time registration fee, it is a fixed amount not depend on

  any other condition

# Part B: monthly fee, it depends on the number of months

- He modeled that by the equation y = 15 x + 40, where

# y is the cost for the membership

# 15 is the monthly fee

# x is the number of months

# 40 is the one-time registration

- The form of the equation is y = mx + c, where c is the y-intercept

∴ The y-intercept in the equation y = 15 x + 40 is 40

∴ The y-intercept is the one-time registration fee

* The y-intercept is 40. This is the cost of registration

4 0
3 years ago
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