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vodomira [7]
3 years ago
13

What is the vertex of the parabola whose equation is y = (x + 1) ^2+ 3

Mathematics
1 answer:
lora16 [44]3 years ago
6 0

Answer:

The vertex is (-1, 3)

Step-by-step explanation:

The form this is in is called vertex form. We can express the equation using its base form.

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

Now we can identify the vertex as (h, k). By looking at the equation, we can see h is equal to -1 and k is equal to 3.

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Maury completed a bicycle race 1.5 hours faster than Vince at an average speed of 16 miles per hour. Vince completed the same ra
MAXImum [283]
Let the time taken by Vince to complete the race was x hours. 
Maury completed the race 1.5 hours faster. This means Maury complete the race in (x - 1.5) hours.

Average Speed of Maury = 16 miles per hour
Average Speed of Vince = 12 miles per hour

Distance = Speed x Time.

For Maury:
Distance = 16(x - 1.5)

For Vince:
Distance = 12x

Since the distance covered by both was the same, we can equate the two equations as:

16(x - 1.5) = 12x
16x - 24 = 12x
4x = 24
x = 6 
This means Vince complete the race in 6 hours.

Distance = Speed x Time = 12 x 6 = 72 miles

Thus, the total distance of the race was 72 miles. 
3 0
2 years ago
bill is on the school archery team. the target has a center bull's-eye and two rings around the bull's-eye. the table gives the
MAVERICK [17]
Given that Bill is on the school archery team. the target has a center bull's-eye and two rings around the bull's-eye.

Given the table below that gives the probabilities of outcomes.

\begin{tabular}
{|c|c|c|c|c|}
\bold{Outcome}&Bull's-eye&Inner ring&Outer ring&Miss\\
\bold{Probability}&0.036&0.297& 0.423&0.244
\end{tabular}

The probability <span>that Bill will get the next arrow in the inner or outer ring is given by
P(inner ring) + P(outer ring) = 0.297 + 0.423 = 0.72</span>

Therefore, <span>the probability that Bill will get the next arrow in the inner or outer ring is 0.72</span>
6 0
3 years ago
Which is the perimeter for the following?
ElenaW [278]

Step-by-step explanation:

Add thel and multiply the 2

8 0
2 years ago
The diagonal of a rectangular swimming pool measures 29 yards. If the length of the pool is 25 yards, which measurement is close
nirvana33 [79]

Answer:

Width of the pool = 15 yards

Step-by-step explanation:

Given that:

Length of diagonal of swimming pool = 29 yards

Length of the pool = 25 yards

Let,

w be the width.

This will form a right angled triangle where the diagonal will be hypotenuse.

Using Pythagorean theorem;

(25)^2+(w)^2 = (29)^2\\625+w^2=841\\w^2= 841 - 625\\w^2 = 216

Taking square root on both sides

\sqrt{w^2}=\sqrt{216}\\w=14.70

Rounding off to nearest whole number

w = 15 yards

Hence,

Width of the pool = 15 yards

3 0
2 years ago
HOW can you use bar diagrams to compare quantities in real-world situations
Vsevolod [243]
An example would be money! Money is a real life situation
3 0
3 years ago
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