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harkovskaia [24]
3 years ago
9

2x + 5y = -6 y-intercept: ( , ) x-intercept: ( , )

Mathematics
1 answer:
padilas [110]3 years ago
5 0
The answer is
Y(-3,0)
X(0,-6/5)
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Earth’s diameter is approximately 12,760,000 meters. What is that number in scientific notation? 1. 276 × 10-7 12. 76 × 10-6 1.
Andru [333]

Given, Earth's diameter is approximately 12,760,000 meters.

This number in scientific notation will be 1.276 × 10⁷

4 0
3 years ago
A fish swims upstream a distance of 16 miles in a river with a current of 3 miles per hour. The fish returns swimming
arlik [135]

Answer:

9 mph = the speed in still water

Step-by-step explanation:

Let r = the speed in still water

Then the speed going down stream is r + 3

and the speed going upstream is r - 3

d = rt   or t = d/r

time going downstream is 16/(r + 3) and time going upstream is 16/(r - 3)

The total time was 4 hours, so

\frac{16}{r + 3}  + \frac{16}{r - 3}  = 4   Multiply thru the equation by (r + 3)(r - 3)

Then 16(r - 3) + 16(r + 3) = 4(r + 3)(r - 3)

         16r - 48 + 16r + 48 = 4r^{2} - 36

         4r^{2} - 36 = 32r

         4r^{2} - 32r - 36 = 0

         4(r^{2}  - 8r - 9) = 0

         4(r - 9)(r + 1) = 0

             r = 9  or -1

But a rate of speed cannot be negative, so x ≠ -1

So, r = 9 mph = the speed in still water

7 0
3 years ago
What is the value of h in the figure below? In this diagram, <br> BAD - CBD
Agata [3.3K]

Answer:

Option D

Step-by-step explanation:

By using geometric mean theorem in the given right triangle ABC,

\frac{AD}{BD}= \frac{BD}{DC}

BD² = AD × DC

h² = (AC - CD) × DC

h² = (25 - 16) × 16

h² = 9 × 16

h = \sqrt{144}

h = 12

Therefore, measure of side h = 12 units.

Option D will be the correct option.

6 0
3 years ago
Read 2 more answers
A ship traveling east at 45 mph is 15 mi from a harbor when another ship leaves the harbor traveling east at 60 mph. How long do
Harman [31]

Answer:

  1 hour

Step-by-step explanation:

I find these easiest to work by considering the initial difference in distance and the speed at with that gap is closing.

__

The gap is 15 miles, the distance the first ship is from harbor when the second ship starts.

The rate of closure is the difference in the speeds of the two ships:

  60 mph -45 mph = 15 mph

Then the closure time is ...

  time = distance/speed

  time = (15 mi)/(15 mi/h) = 1 h

It will take the second ship 1 hour to catch up to the first ship.

7 0
2 years ago
(13 – 6)^2 (5 + 2)^2÷(5 – 2)^3<br>​
AysviL [449]

Answer:

88 25/27

Step-by-step explanation:

(13 – 6)^2 (5 + 2)^2÷(5 – 2)^3

PEMDAS

Parentheses first

(7)^2 (7)^2÷(3)^3

Then exponents

49*49 ÷27

Then multiply and divide from left to right

2401÷27

2401/27

88 25/27

88.92592593

7 0
3 years ago
Read 2 more answers
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