Answer:
-14
Step-by-step explanation:
-8(2)-[3(-5)-(-1)+4(2-6)]+4(-7)
opening the brackets
-8(2)-[-15+1+4(-4)]+4(-7)
-8(2)-[-15+1+4(-4)]+(-28)
-8(2)-[-15+1+(-16)]-28
-16-[-15+1+-16]-28
-16-[-15-16+1]-28
-16-[-31+1]-28
-16-[-30]-28
-16+30-28
-16-28+30
-44+30
-14
Answer:
(10, 0)
Step-by-step explanation:
(10, 0) satisfies both of the system equations: 2(10) + 0 = 20 and 4(10) - 0 = 40.
(0, 10) does not.
(4, 2) does not.
(10, -10) does not.
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.
