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ki77a [65]
2 years ago
11

A triangular arch is to be constructed over a busy street in order to place a sky bridge traversing one side of the triangle to

the other. The base of the arch spans the width of the street, which is 20 feet. Each side of the triangular arch measures 30 feet in length. If the entrances of the sky bridge lie at the midpoints of each side of the triangular arch, and the bridge is to be parallel to the street below, how long will the sky bridge be?
Mathematics
1 answer:
sesenic [268]2 years ago
4 0

Answer:

15

Step-by-step explanation:

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A line has an y-intercept of 4 and a x-intercept of 1. Use this information to write a function in slope intercept form (y = mx
Ad libitum [116K]

Answer:  D.  y = -4x + 4

Step-by-step explanation:

Notice that the y-intercept is when x is zero and the x intercept is when y is 0.

and to write in the equation in slope intercept form , you will need the slope and the intercept.

We will use the y and x intercepts to find the slope, by find the difference in their y coordinates and dividing it by the difference in their x coordinates.

y intercept: ( 0,4)  

x intercept: (1,0)

y coordinates difference:  4 - 0 = 4

x coordinates difference:  0 - 1 = - 1  

Slope:  4/-1 =  -4  

Since the slope is -4 and the the y intercept is 4 , the equation will be

 y = -4x + 4

7 0
3 years ago
Which statement about the simplified binomial expansion of (a + b)", where n is a positive integer, is true?
Alja [10]

Answer:

(a+b)^n  ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + .....  +{n \choose n}a^{(0)}b^{(n)}

Step-by-step explanation:

The Given question is INCOMPLETE as the statements are not provided.

Now, let us try and solve the given expression here:

The given expression is: (a +b)^n, n > 0

Now, the BINOMIAL EXPANSION is the expansion which  describes the algebraic expansion of powers of a binomial.

Here, (a+b)^n  = \sum_{k=0}^{n}{n \choose k}a^{(n-k)}b^{(k)}

or, on simplification, the terms of the expansion are:

(a+b)^n  ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + .....  +{n \choose n}a^{(0)}b^{(n)}

The above statement holds for each  n > 0

Hence, the complete expansion for the given expression is given as above.

4 0
3 years ago
Read 2 more answers
Can anyone help me????
Ne4ueva [31]

Answer:

Ed used 39/60 of one hour to complete his tasks.

Step-by-step explanation:

Find the least common denominator (LCD), which would be 20

Then, find how to get from 5 to 20 and 4 to 20.

Use division.

20/5 = 4, 20/4 = 5

After this, multiply the numerator to the according number.

2*4 = 8 = 8/20

1*5 = 5 = 5/20

Make the denominator 60 to represent 60 minutes in one hour

5/20*3/3 = 15/60

8/20*3/3 = 24/60

Add the two results.

15/60 + 24/60 = 39/60

8 0
2 years ago
The ratio of peaches to plums is 3:8. If there are 99 fruits how many plums are there?
Illusion [34]
3+8=11
11 units
99=11 units
divide by 11 both sides
9=1 unit

plums=8 units
8*9=72
72 plums
8 0
3 years ago
In your own words explain how the quality of a survey affects the results?
vichka [17]
Hey there!
A survey is used to define the public opinion on a certain matter.
Therefore, the clearer and more concise it is, the better the answer will be from the people that take the survey.
Hope this helps!
3 0
3 years ago
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