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Elina [12.6K]
3 years ago
6

Look at the pattern below.

Mathematics
1 answer:
jonny [76]3 years ago
7 0

Answer:

21 squares

Step-by-step explanation:

6+5+4+3+2+1=21

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A building has an entry the shape of a parabolic arch 84 ft high and 42 ft wide at the base, as shown below. A parabola opening
lara [203]

Answer:

Step-by-step explanation:

Because of the nature of the information we are given, we have no choice but to use the equation

y=a(x-h)^2+k

and solve for a.

We know by the info that the vertex is (0, 84). We also know that if the vertex is at the origin, and that the base is 42 feet wide, it spans 21 feet to the right of the origin and 21 feet to the left of the origin. That means that we have 2 coordinates from which we need to pick one for our x and y in the equation. I don't like negatives, so I am going to choose the coordinate (21, 0) as x and y. Because this parabola opens upside down, as archways of door openings do, our "a" value better come out algebraically as a negative. Let's see...From the vertex we have that h = 0 and k = 84. So filling in:

0=a(21-0)^2+84 and simplifying a bit:

0 = 441a + 84 and

-84 = 441a so

a=-\frac{84}{441}=-\frac{4}{21} Good, a is negative. Your equation is, then:

y=-\frac{4}{21}x^2+84

3 0
3 years ago
Read 2 more answers
The ratio of Ed's toy cars to Pete's toy cars was initially 5:2. After Ed gave 30 toy cars to Pete, they each had an equal numbe
Slav-nsk [51]

Answer:

140 toy cars

Step-by-step explanation:

The ratio of Ed's toy car to Pete's toy car is initially given as 5:2

Ed gave Pete a total number of 30 cars

Let x represent the greatest common factor that exists between both number

Number of Ed's car is represented as 5x

Number of Pete car is represented as 2x

Since they each have an equal number of cars which is 30 then we can solve for x as follows

5x-30=2x+30

Collect the like terms

5x-2x= 30+30

3x= 60

Divide both sides by the coefficient of x which is 3

3x/3=60/3

x=20

Ed's car is 5x, we substitute 20 for x

5(20)

= 100 cars

Pete car is 2x,we substitute 20 for x

2(20)

= 40 cars

Therefore, the total number of cars can be calculated as follows

= 100+40

= 140 toy cars

Hence they have 140 toy cars altogether

5 0
3 years ago
Read 2 more answers
Find the length and width of 4 different rectangles such that each rectangle has an area of 24 square units. Write the length an
Ksenya-84 [330]

Answer:

77

Step-by-step explanation:

because im smart btw no treats involved

5 0
3 years ago
Pleaseeeeeeee help me
Juli2301 [7.4K]

Answer:

The answer is "The discriminant is positive"

Step-by-step explanation:

When the discriminant is positive there is two real solutions.

When the discriminant is equal to 0, there is one real solution.

When the discriminant is negative, there is no real number solutions.

8 0
3 years ago
Suppose you could choose 2 boxes of markers. Find all the possible pairs.
luda_lava [24]
Its 15 markers, at least i would assume
3 0
3 years ago
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