Here I did all I can do rn
Answer:
Option D
Step-by-step explanation:
Given:
- Center point: (-5, 4)
- Radius: 7
<u>Formula:</u>
Equation of circle: (x - h)² + (y - k)² = r²
[Where (h, k) is the center point and "r" is the radius of the circle]
<u>Substitute the coordinates of the center point in the formula:</u>
Given center point: (-5, 4)
∴ x-coordinate of center point (h) = -5; y-coordinate of center point (k) = 4
- ⇒ (x - h)² + (y - k)² = r²
- ⇒ [x - (-5)]² + [y - 4]² = r²
<u>Substitute the radius in the formula:</u>
Given radius: 7
- ⇒ [x - (-5)]² + [y - 4]² = r²
- ⇒ [x - (-5)]² + [y - 4]² = (7)²
<u>Simplify both sides of the equation:</u>
- ⇒ [x + 5]² + [y - 4]² = (7)(7)
- ⇒ [x + 5]² + [y - 4]² = 49 <u>(Option D)</u>
Therefore, Option 4 is correct.
Answer:
The answer instead is 10:14.
Step-by-step explanation:
In this case, there are ten boys and fourteen girls in this class. The ration would then be 10:14. Instead, Jeff said 5:12 which isn't correct. He can correct it by using the number of boys given, find the difference of girls in a class of twenty-four students, and then get his answer!
The slope m = -3, and the point is (0,-9).
<u>Step-by-step explanation</u>:
The equation of a line in slope-intercept form is given as
y = mx + b
where m represents the slope and
b represents the y-intercept.
⇒
y + 3 = − 3(
x
+
2)
subtract 3 from both sides.
⇒ y = -
3
x - 9
⇒
m = -
3
and the
b = - 9
Hence slope is -3 and y-intercept is -9
y-intercept = - 9 which is the coordinate point (0 ,-9)
To obtain any coordinate point on the line, select values for x and substitute them into the equation for corresponding value of y.
x = -2 ⇒ y = -3 
-2 - 9
y = 6 - 9 = -3
Hence the another point on the line is (-2,-3)
