After distributing, which equation is equivalent to -4(3x + 2) = 10a.-12x -8 = 10b.-12x + 8 = 10c.-12x -6 = 10d.-12x + 6 = 1
1 answer:
You might be interested in
Answer:
Compare the given equation of the circle (x - 1)² + (y -2)² = 2²
with standard form of circle: (x - h)² + (y - k)² = r²
Here, (h, k) is the center of the circle
and r is the radius of the circle.
Thus, The center of the circle is: (1, 2)
Also, for finding the point of intersections of (x - 1)² + (y -2)² = 2² and y = 2x + 2,
Substitute the value of y from equation of line in the equation of circle.
(x - 1)² + (2x + 2 - 2)² = 2²
⇒ (x - 1)² + (2x)² = 2²
⇒ x² + 1 - 2x + 4x² = 4
⇒ 5x² - 2x - 3 = 0
Applying Middle term splitting method
5x² - 5x + 3x - 3 = 0
⇒ 5x(x - 1) + 3(x - 1) = 0
⇒ (5x + 3)(x - 1) = 0
⇒ x = and x = 1
Thus, we get coordinates: and (1, 4)
Answer:
<h2><em>See explanation.</em></h2>Step-by-step explanation:
<h2>1. Subtraction</h2>a. x - 2 = 10
x = 12
12 - 2 = 10.
b. s - 4 = 6
s = 10
10 - 4 = 6
c. y - 10 = 24
y = 34
34 - 10 = 24
d. t - 3 = 9.
t = 12
12 - 3 = 9
<h2>2. Addition</h2>a. x + 2 = 10
x = 8
8 + 2 = 10
b. s + 4 = 6
s = 2
2 + 4 = 6
c. y + 10 = 24
y = 14
14 + 10 = 24
d. t + 3 = 9
t = 6
6 + 3 = 9
<h2>3. Multiplying Fractions</h2>a. 1/2x = 10
x = 20
1/2(20) = 10
b. 1/4s = 8
s = 32
1/4(32) = 8
c. 1/3t = 6
t = 18
1/3(18) = 6
d. 1/5y = 20
y = 100
1/5(100) = 20
<h2>4. Multiplying Whole Numbers</h2>a. 4x = 32
x = 8
4 * 8 = 32
b. 13x = 39
x = 3
13 * 3 = 39
c. 5x = 25
x = 5
= 5
5 * 5 = 25
d. 10x = 100
x = 10
= 10
10 * 10 = 100.
<h2><u><em>Hope this helps.</em></u></h2>