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CaHeK987 [17]
3 years ago
14

a window shaped like a parallelogram has an area of 18 1/3 square feet.The height of the window is 3 1/3 feet how long is the ba

se of the window?
Mathematics
1 answer:
Natali [406]3 years ago
8 0
About 5.5 feet.
because Area = BxH
you already have the height and area, so Base=A/H
hope that helps :)
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I need help ASAP. I need help can someone explain and can anyone tell me the answer please . I’ll give u anything u want
AleksAgata [21]
<h3>Answers:</h3>
  • Domain:  (-\infty, \infty) which is the set of all real numbers
  • Range: [3, \infty) which is the set of y values such that y \ge 3
  • x intercepts: none
  • y intercept:  only one y intercept and it is at (0,7) this is ordered pair notation and not interval notation
  • Interval positive: (-\infty, \infty)
  • Interval negative: none
  • Interval increasing: (-2, \infty)
  • Interval decreasing: (-\infty, -2)
  • Average rate of change over [-2,0] is 2

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

Explanation:

The domain is the set of all real numbers. This is because the graph goes on forever to the left and right. We can use any x value we want as an input. There are no restrictions to worry about such as to prevent dividing by zero errors.

To say "all real numbers" in interval notation, we write (-\infty, \infty) which is another way of saying -\infty < x < \infty

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

The range in interval notation is [3, \infty) since y = 3 is the smallest y output possible, and we could have larger y values as well. So basically y \ge 3 can be used to describe the range without saying much else.

Note the use of a square bracket to include 3 as part of the interval.

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

There are no x intercepts because this graph does not cross the x axis. The lowest point is at (-2,3) so there's no way we could reach y = 0. Put another way, y = 0 is not part of the range so we cannot have any x intercepts.

There is one y intercept and it is at (0,7) where the graph crosses the y axis. For any function, the max number of y intercepts is 1.

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

When it says "interval positive", its asking "which part(s) of the graph are above the x axis?". That would be the entire graph meaning we have the interval (-\infty, \infty). Every point on this V shaped curve is of the form (x,y) where y is positive.

So this means that we do not have any points with a negative y value, and therefore the answer to "interval negative" is none.

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

Now onto the "interval increasing". This is similar to the previous section, but now we're looking when the graph is going uphill as we read from left to right. This happens on the interval (-2, \infty) or put another way when x > -2.

The graph goes downhill whenever x < -2. So that's why the answer for the "interval decreasing" is (-\infty, -2)

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

Note the points (-2,3) and (0,7) are on the V shaped graph. These points have x coordinates of x = -2 and x = 0, which are the endpoints of the interval we're focusing on.

Compute the slope of the line through those two points

m = (y2-y1)/(x2-x1)

m = (7-3)/(0-(-2))

m = (7-3)/(0+2)

m = 4/2

m = 2

The positive slope means the line goes uphill as we read from left to right

The average rate of change on the interval [-2, 0] is the value 2

In other words, we go up 2 units each time we move to the right 1 unit.

8 0
3 years ago
Chris runs 6 miles in 50 minutes. At the same rate, how many miles would he run in 35 minutes?
Nataly_w [17]
You could either find how far Chris can run in 60 minutes, or write an equation of ratios:

    x            35 min
--------- = --------------
 6 mi          50 min

Solving for x:  50x = 210;     x = 4.2 miles (answer)
4 0
3 years ago
Joes age (j) is half Martha’s (m). Combined, their age is 42. What are their ages?
svp [43]

Answer:

Joe is 14.

Martha is 28.

Step-by-step explanation:

Use the variables and information from the question to make equations.

If Joe's age is half Martha's:

(1/2)m = j     OR     2j = m

If their ages combined is 42:

m + j = 42

We can substitute the equation m=2j into equation m + j = 42, replacing "m".

m + j = 42    Substitute m for 2j

2j + j = 42     Combine like terms, terms with same varables

3j = 42     Divide both sides by 3 to isolate j

j = 14       Joe's age

Since j = 14, we can substitute it into equation m=2j to find "m".

m = 2j       Substitute j for 14

m = 2(14)     Simplify

m = 28       Martha's age

Therefore Joe is 14 and Martha is 28.

5 0
3 years ago
Determine all the factors for the following expression(Note: you will need to use the Rational Root Theorem more than one time)
Aleks [24]
ANSWER

Possible rational roots: <span><span>±1,±2,±3,±4,±6,±12</span><span>±1,±2,±3,±4,±6,±12</span></span>

Actual rational roots: <span><span>1,−1,2,−2,−3</span></span>

<span><span>see attachments for all steps.</span></span>

4 0
3 years ago
Read 2 more answers
If a train travels at 80 mph for 12 min, what is the distance traveled?
AnnyKZ [126]

Answer:

<h2>ANSWER→ </h2>
  • 16 miles
  • 12 minutes is 1 /5 of a hour
  • 80 ÷ 5 is 16
  • or 80x 1.466 =117.28 ft per second
  • 12 minutes x 60 seconds is 720
  • 117.28× 720= 84,441.6
  • 84441.6÷ 5280= 15.992 miles.
7 0
2 years ago
Read 2 more answers
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