1. The midpoint of the segment joining points (a, b) and ( j, k) is ((j+a)/2,(k+b)/2)

2. Let the coordinate of H be (a, b)
T(0, 4) = ((a + 0)/2, (b + 2)/2)
(a + 0)/2 = 0 => a + 0 = 0 => a = 0
(b + 2)/2 = 4 => b + 2 = (2 x 4) = 8 => b = 8 - 2 = 6
Therefore, the cordinate of H is (0, 6)

3. Point (-4, 3) lies in Quadrant II

4. Point (6, 0) lies on the x-axis

5. Any line with no slope is parallel to the y-axis

7. a is the value of the x-coordinate.
5a + 3 = 8
5a = 8 - 3 = 5
a = 5/5 = 1
a = 1

8. Equation of a circle is given by (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center and r is the radius.
For the given circle (x + 5)^2 + (y - 7)^2 = 36 => (x - (-5))^2 + (y - 7)^2 = 6^2 => a = -5 and b = 7.
Therefore, its center point is (-5, 7)

9. Equation of a circle is given by (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center and r is the radius.
For the given circle (x + 5)^2 + (y - 7)^2 = 36 => (x - (-5))^2 + (y - 7)^2 = 6^2 => r = 6.
Therefore, its radius is 6

10. If the equation of a circle is (x - 2)^2 + (y - 6)^2 = 4, the center is point (2, 6).
True

7 0

3 years ago

Read 2 more answers

Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year. How

lidiya [134]

Option A

The simple interest earned over 6 years is $ 4050

Solution:

Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year

The formula for simple interest is given as:

$Simple\ Interest = \frac{p \times n \times r}{100}$

Where, "p" is the principal and "n" is the number of years and "r" is the rate of interest

From given,

p = 15000

r = 4.5 %

n = 6 years

Substituting the values we get,

$Simple\ Interest = \frac{15000 \times 4.5 \times 6}{100}\\\\Simple\ Interest = 150 \times 4.5 \times 6\\\\Simple\ Interest = 4050$

Thus simple interest earned over 6 years is $ 4050

6 0

3 years ago

Refer to parallelogram ABCD to answer to following questions.

alexdok [17]

Answer:

No: The diagonals are not congruent.

3 0

3 years ago

A farmer has a field in the shape of a semicircle of diameter 50 m. First,

dexar [7]

Answer:

157.1 m

Step-by-step explanation:

Here, we want to calculate the length of the semi-circle

This simply refers to the circumference of the semi-circle

Mathematically, the circumference is half that of a full circle

The circumference of a full circle is;

C = pi * d

For half circle or semi-circle;

It is ;

C = (pi * d)/2

D = 50 m

The circumference is thus;

C = 50 * 3.142

C = 157.1 m

5 0

3 years ago