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lord [1]
3 years ago
14

Please answer all the questions

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0

Answer:

Step-by-step explanation:

  • 30
  • -30
  • 24
  • -30
  • 181
  • -162
  • 48
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A rope is 50 meters long. It is cut into two pieces and one piece is 8 meters longer than the other. What are the two lengths?
Mashcka [7]

Answer:

21 meters and 29 meters

Step-by-step explanation:

x + (x + 8) = 50

2x + 8 = 50

2xc = 42

x = 21

x + 8 = 29

6 0
3 years ago
What is the equation of a line with a slope of ​3​ and a point
seraphim [82]
Answer: y = 3x-8

------------------------------------------------
------------------------------------------------

Explanation:

The slope is 3, so m = 3

The given point is (3,1) meaning x = 3 and y = 1. The x coordinate is always listed first in an ordered pair. The general format is (x,y)

We'll use m = 3, x = 3 and y = 1 to find the y intercept

y = mx+b
y = m*x+b
1 = 3*3+b ... plug in m = 3, x = 3 and y = 1
1 = 9+b
1-9 = 9+b-9 ... subtract 9 from both sides
-8 = b
b = -8

----------------

So we're given m = 3 as the slope and we just found that b = -8 is the y intercept

So y = mx+b updates to y = 3x-8. This is the final answer.

----------------

Side Notes:
* The slope of 3 means rise/run = 3/1 indicating each time we go up 3, we move to the right 1
* The y intercept -8 is the location on the vertical y axis numberline where the graph crosses. The point (0,-8) is on this line.

8 0
3 years ago
Identify the equation that translates y=ln(x) five units down.
kari74 [83]

We are given equation: y=ln(x) .

And translation is 5 units down.

We know the rule of transformation f(x) = y + k, if k is greater than 0 it would move up or if k is less than 0, it would move down.

For the given translation 5 unit down, 5 should be less than 0.

Number less than 0 are negative numbers.

So, we need to add -5 in the given function to ln(x).

So, we would get the final equation for five units down as

y =ln(x) - 5.

6 0
3 years ago
Read 2 more answers
The veterinarian weighed Oliva's new puppy, Benz, on a defective scale.
Mrrafil [7]

Answer:

\boxed{x = 10.28 \%}

Step-by-step explanation:

\frac{(26.75)x}{100} = 2.75 \\  \boxed{x = 10.280373832}

5 0
3 years ago
What is the slope-intercept equation<br> for the following line?<br> y = [?]x + []
Alexus [3.1K]

Answer:

y=-4x-3

I Hope It Helps!

7 0
3 years ago
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