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3 years ago

Which statement best describes a chord of a circle?

1 answer:

6 0

A chord of a circle is a straight line segment whose endpoints both lie on the circle
 The statement that best describes a chord of a circle is
It is a segment that connects two distinct points on a circle
so the correct option is c
hope it helps

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X2 + 45x = -200 Using the quadratic formual and the discirimnat

dybincka [34]

Answer:

Positive discriminant = 2 real solution

x= -5,-40

Step-by-step explanation:

The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.

The discriminant is the part of the quadratic formula inside the square root:

$b^{2}-4ac$

Every quadratic formula has the structure:

$ax^{2} +bx+c=0$

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

$x^{2} +45x+200=0$

Our a=1, b=45 and c=200

Now we can substitute these values into the discriminant:

$(45)^{2} -4(1)(200)$

Solve:

$2025-800=1225$

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

$x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}$

(Same discriminant value)

$x=\frac{-45+/-35}{2}$

Now to find the two solutions, we use both signs in the equation. Solution 1:

$x=\frac{-45+35}{2}$

$x=\frac{-10}{2}=-5$

Our first solution is -5, now for the second:

$x=\frac{-45-35}{2}\\\\ x=\frac{-80}{2}=-40$

The two solution to this equation are -5 and -40.

Hope this helped!

7 0

3 years ago

Find the range of the function. f(x) = 10-x^2

BARSIC [14]

Answer:
range = x ≤ 10
Step-by-step explanation:
Given in the question the function
f(x)=10-x^2
The range of a function is the complete set of all possible resulting values of the dependent variable F(x) after we have substituted the domain which is the values of x.
domain = set of all integers
range = x ≤ 10
f(x)=10-x²
since any negative value of x will be positive with squared so we will start from 0
f(0) = 10-0² = 10
f(1) = 10 - 1² = 9 = f(-1) = 10 -(-1)²
....and so on.

7 0

3 years ago

Ben is reading a book. Rounded to the nearest ten, he reads 150 pages. What is the least number of pages he could read?

Semenov [28]

145 pages because 145 would round up to 150 but anything below 145 would round to 140

7 0

2 years ago

Ratios are these equivalent : 11/7 and 77/63 , 3/5 and 45/75 , 1/8 and 10/80 , and 2/9 and 18/81

tatyana61 [14]

Answer:

11/7 = (11 x 9)/(7 x 9) = 99/63 > 77/63

3/5 = (3 x 15)/(5 x 15) = 45/75

1/8 = (1 x 10)/(8 x 10) = 10/80

2/9 = (2 x 9)/(9 x 9) = 18/81

Step-by-step explanation:

I hopes this helps

Plz mark brainliest if correct

6 0

2 years ago

A group of people are going on a 5 mil hike. They walked 2 1/10 miles in the morning and 1 1/4 mils during the first hr of the a

Ugo [173]

Answer: 1 13/20 miles

Explanation:

$5 - 2\cfrac{1}{10} - 1 \cfrac{1}{4} = 5 \cfrac{0}{20} - 2\cfrac{2}{20} - 1 \cfrac{5}{20} = 4 \cfrac{20}{20} - 2\cfrac{2}{20} - 1 \cfrac{5}{20} = 1 \cfrac{13}{20}$

8 0

3 years ago