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3 years ago

Which is an equation of a circle with center (2, -1) that passes through the point (3, 4)?

1 answer:

8 0

Equation of circle is (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center and r is the radius.
r^2 = (2 - 3)^2 + (-1 - 4)^2 = (-1)^2 + (-5)^2 = 1 + 25 = 26
Equation is (x - 2)^2 + (y + 1)^2 = 26

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A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal dist

Aneli [31]

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of $x^2$ is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

$y= -x^2 + 2x + 3$

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, $x=-\dfrac{b}{2a}$

$x=-\dfrac{2}{2*-1}\\x=1$

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

$y(1)= -1^2 + 2(1) + 3=-1+2+3=4m$

The maximum height of the diver is therefore 4 meters.

8 0

2 years ago

Write the converse of this statement.if two angles are both obtuse, the two angles are equal.

Aliun [14]

To form the converse of the conditional statement, interchange the hypothesis and the conclusion.

Given conditional statement: "if two angles are both obtuse, the two angles are equal".

Here,

hypotesis is: two angles are both obtuse,
conclusion is: two angles are equal.

Then the converse statement will be: "If two angles are equal, then two angles are both obtuse".

8 0

3 years ago

Read 2 more answers

The opposite angles of a rhombus are equal. a. True b. False

Sergeu [11.5K]

The answer is a, all rhombuses have equal sides, if they have equal sides then day have equal angles.

5 0

2 years ago

Read 2 more answers

Help please?!

Furkat [3]

Well from what i know here's what i would put........
-4 * -2 = 8 - 2 = 6
-4 * -1 = 4 - 2 = 2
-4 * 0 = 0 - 2 = -2
so it does represent a function......I really hope that helped!!

8 0

3 years ago

Fred is making a bouquet of carnations and roses. The carnations cost $5.25 in all. The roses cost $1.68 each. How many roses di

olga nikolaevna [1]

Answer:

8 roses

Step-by-step explanation:

First start by subtracting $18.69 by $5.25 because you already know how much the carnations cost and how much the bouquet cost in all. When you subtract 18.69 by 5.25 you should get $13.44. If each rose cost $1.68 then divide 13.44 by 1.68 to get the amount of roses in the bouquet.

8 0

3 years ago