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iragen [17]
3 years ago
10

Find a point on the y-axis that is equidistant from the points (7, −7) and (1, 1).

Mathematics
1 answer:
jeka57 [31]3 years ago
6 0
Hello : 
<span>a point on the y-axis is : P( 0, y)
</span>PA = PB  or  PA² = PB².... A(7, -7)    B(1,1)
(7-0)²+(-7-y)² = (1-0)² + (1-y)²
49+49+14y+y² = 1+1-2y+y²
16y = - 96
y= - 6 
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In the year 1999, the surface elevation of Lake Powell was 3893 feet above sea level. In the year 2005, the surface elevation of
Sati [7]

Answer:

Rate of Change = -77.9 feet/year

My interpretation: "Is Bad."

Step-by-step explanation:

The rate of change is the number of feet that Lake Powell dropped, divided by the number of years the drop took place.  We want a value with a unit of feet/year.

<u>Year</u>    <u>Feet</u>

1999     3893

2005    3425.6  

<u>Change</u>

Year = (2005 - 1999)  or 6 years

Feet = (3425.6 - 3893) or -467.4 feet

Rate of Change = (-467.4 feet)/(6 years)

Rate of Change = -77.9 feet/year

=======================

FYI:  Lake Powell is 22.39 feet lower today (June 23, 2022) than it was 1 year ago.

8 0
2 years ago
The sides of a rectangle are in the ratio 4:7. If its longer side is 31.5 in., find the shorter side, the perimeter, and the are
Lemur [1.5K]

Answer:

Width = 18 inches

Perimeter = 99 inches

Area = 567 square inches

Step-by-step explanation:

The sides of a rectangle are in the ratio 4:7. Then

Width =4x in

Length =7x in.

If  its longer side is 31.5 in, then

Length = 31.5 in

and

7x=31.5\\ \\x=\dfrac{31.5}{7}=4.5\ in

So,

Width =4\cdot 4.5=18\ in

The perimeter is

P=2(\text{Width}+\text{Length})\\ \\=2(18+31.5)\\ \\=2\cdot 49.5\\ \\=99\ in

The area is

A=\text{Width}\cdot \text{Length}\\ \\=18\cdot 31.5\\ \\=567\ in^2

5 0
3 years ago
What is the solution for this system of linear equations?<br> {23x+4=y<br> 4−2x=y
liubo4ka [24]
We can subsitute since
23x+4=y and
4-2x=y
therefor
23x+4=y=4-2x
so
23x+4=4-2x
minus 4 on both sides
23x=-2x
add 2x to both sides
25x=0
divide both sides by... uh oh
I guess x=0

sub
4-2(0)=y
4-0=y
4=y

the solution is (0,4)
3 0
4 years ago
Felix is dividing 322 by 12. He
astraxan [27]
I agree if you divide it. The answer will be 26.8
3 0
3 years ago
Read 2 more answers
Sam spent $1.08 to make 18 copies at office max.At that rate how much will he pay to make 40 copies?
Alona [7]

Answer:

$2.40

Step-by-step explanation:

If we know it is $1.08 to make 18 copies. We can do the math to find the rate of 1 copy. This would be by doing 1.08/18=0.06. So, it costs $0.06 to make 1 copy. Now, multiply that by 40 copies 0.06x40=2.40. The cost of 40 copies is $2.40.

8 0
3 years ago
Read 2 more answers
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