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AveGali [126]
3 years ago
12

Need help....ASAP on both 7 AND 8

Mathematics
1 answer:
Kitty [74]3 years ago
6 0

Answer:

7)Amount of calories Ethan would burn running for 5 hours in one week= 650\times5=3250 calories

8)Erosion caused by wave for 8 years would be= 3\times8=24cm

Step-by-step explanation:

7) Ethan burns 650 calories on running for an hour.

Amount of calories he would burn running for 5 hours in one week= 650\times5=3250 calories

8) Erosion caused by wave per year =3 cm

Erosion caused by wave for 8 years would be= 3\times8=24cm

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I don’t understand this at all
Romashka [77]

Answer:

a) the midpoint is (1.5, 2.5)

b) the line is y = -(7/3)*x + 6.

Step-by-step explanation:

a)

Suppose we have two values, A and B, the mid-value between A and B is:

(A + B)/2

Now, if we have a segment with endpoints (a, b) and (c, d), the midpoint will be in the mid-value of the x-components and the mid-value of the y-components, this means that the midpoint is:

( (c + a)/2, (b + d)/2)

a) Then if the endpoints of the segment are (-2, 1) and (5, 4), the midpoint of this segment will be:

( (-2 + 5)/2, (1 + 4)/2) = (3/2, 5/2) = (1.5, 2,5)

The midpoint of the segment is (1.5, 2.5)

b)

Now we want to find the equation of a perpendicular line to our segment, that passes through the point (1.5, 2.5).

First, if we have a line:

y = a*x + b

A perpendicular line to this one will have a slope equal to -(1/a)

So the first thing we need to do is find the slope of the graphed segment.

We know that for a line that passes through the points (a, b) and (c, d) the slope is:

slope = (c - a)/(d - b)

Then the slope of the segment is:

slope = (4 - 1)/(5 - (-2)) = 3/7

Then the slope of the perpendicular line will be:

s = -(7/3)

Then the perpendicular line will be something like:

y = -(7/3)*x + d

Now we want this line to pass through the point (1.5, 2.5), then we can replace the values of this point in the above equation, and solve for d.

2.5 = -(7/3)*1.5 + d

2.5 + (7/3)*1.5 = d = 6

Then the line is:

y = -(7/3)*x + 6

7 0
3 years ago
Which agency offers the better deal
egoroff_w [7]
Please specify which agency are you trying to compare
8 0
2 years ago
Indentify the slope of the line for the equation y=8x-9
sergiy2304 [10]
-9 is the answer :)
7 0
3 years ago
HELP I NEED HELP SETTING THIS UP
charle [14.2K]

Answers:

The starting equation is (x+5)/3 = 7 which can be written as \frac{x+5}{3} = 7

The solution to this equation is x = 16

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

Explanation:

Let x be a placeholder for some number. If we start off with some number and add on 5, then we go from x to x+5. The next thing we do is divide all of "x+5" all over 3 to get (x+5)/3 which can be written as \frac{x+5}{3}. I'll use the first style of notation.

Set the expression (x+5)/3 equal to 7 and that leads us to the equation:

(x+5)/3 = 7

so this is the first part of the answer. Now onto the second part which is solving for x. We want to get x all by itself on its own side.

To do this, we follow the order of operations PEMDAS in reverse. So we undo division first by multiplying both sides by 3. Then we undo the addition of 5 by subtracting 5 from both sides

(x+5)/3 = 7

3*(x+5)/3 = 3*7 ...... multiply both sides by 3

x+5 = 21

x+5 - 5 = 21 - 5 ..... subtract 5 from both sides

x = 16

So the unknown mystery number is 16. As a check, note how adding 5 to 16 gets us 16+5 = 21, which if we divide by 3 we end up with 21/3 = 7 which is what we want. So the answer is confirmed.

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3 years ago
Select the correct answer.
g100num [7]
The correct answer is the letter B
7 0
3 years ago
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