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andriy [413]
3 years ago
9

Complete the square so that the left side of x2 + 8x − 3 = 0 becomes a binomial squared. (x +___)2 = ___

Mathematics
1 answer:
Eva8 [605]3 years ago
6 0

Answer:

(x + 4)2 = 19

4 and 19 is the answer.

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At the Boston Marathon there were 20,000 runners who finished the race. Each runner ran a distance of 26 miles. If you add toget
andre [41]

Answer:

the runners have gone 20.8 times around the globe all together

Step-by-step explanation:

At the Bostom Marathon, we have a total of

N = 20,000 runners

We know that each runner ran a distance of

d = 26 miles

Therefore, the total distance travelled by all runners combined is:

D=Nd=(20,000)(26)=5.2\cdot 10^5 mi

We know that the circumference of the Earth is

c=2.5\cdot 10^4 mi

Here we want to find how many times around the globe would the marathon runners have gone. This can be found by calculating the following ratio:

n=\frac{D}{c}

And substituting the values, we find:

n=\frac{5.2\cdot 10^5}{2.5\cdot 10^4}=20.8

So, the runners have  gone 20.8 times around the globe all together.

4 0
3 years ago
Find the center and radius for the circle by the equations: x2 + y2 + 5x - y + 2 = 0.
lord [1]
X2+5x+y2-y=-2
X2+2*5x2+(5/2)^2-(5/2)^2+y2-2*y/2+(1/2)^2-(1/2)^2=-2
(x+5/2)^2+(y-1/2)^2-13/2=-2
(x+5/2)^2+(y-1/2)^2=9/2
So centre =(-5/2,1/2)
Radius=(9/2)^(1/2)
7 0
3 years ago
The formula for finding the perimeter of a rectangle is p= 2l 2w solve the formula for w.
I am Lyosha [343]

Answer:

w = \frac{p -2l}{2}

Step-by-step explanation:

p = 2l + 2w  Subtract 2l from both sides of the equation

p - 2l = 2p  Divide both sides by 2

\frac{p -2l}{2} = w

5 0
1 year ago
Simplified form of this expression 5z-8-4z-3z+6
kvasek [131]

Answer:

-2z-2

Step-by-step explanation:

5z-8-4z-3z+6

5z-4z-3z-8+6

-2z-2

7 0
3 years ago
Read 2 more answers
Alicia has five times as many dimes as she has quarters. Combined the dimes and quarters total to $9.75. How many dimes does Ali
olasank [31]
Five dimes and one quarter = .75.
9.75/.75=3.25*4/1=13
there are 13 "5 dimes and 1 quarter"s
so 65 dimes
3 0
3 years ago
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