Let's solve for y.<span>6=<span><span>4x</span>+<span>9y</span></span></span>Step 1: Flip the equation.<span><span><span>4x</span>+<span>9y</span></span>=6</span>Step 2: Add -4x to both sides.<span><span><span><span>4x</span>+<span>9y</span></span>+<span>−<span>4x</span></span></span>=<span>6+<span>−<span>4x</span></span></span></span><span><span>9y</span>=<span><span>−<span>4x</span></span>+6</span></span>Step 3: Divide both sides by 9.<span><span><span>9y</span>9</span>=<span><span><span>−<span>4x</span></span>+6</span>9</span></span><span>y=<span><span><span><span>−4</span>9</span>x</span>+<span>2<span>3</span></span></span></span>
Answer:
x = 6.67 inches
Step-by-step explanation:
Set upa s a proportion
x/60 = 1/9
x = 1/9 * 60
x = 6.67 inches
Answer:
D
Step-by-step explanation:
a- Multiply the square of 7/2 by 3.14
b-Multiply 36 and 36
c-Multiply 7 and 7
d-Multiply the square of 36 by 3.14
Answer:
Step-by-step explanation:
Factor the sum of cubes
a³ + b³ = (a+b)(a² - ab +b²)
= 2a² - 2ab + 2b²
a³ + b³ + 6ab = 2a² + 4ab + 2b²
= 2(a² + 2ab +b²)
= 2(a+b)²
= 8
Answer:
a) 
b)
c) 
Step-by-step explanation:
a) Let <u>a</u>=<2,1,-3>
The magnitude of <u>a</u> is 
The unit vector in the direction of a is
Using the relation 
, we have
b) Let a=2i - 3j + 4k
Using the relation , we have
c) Let us first find the sum of <1, 2, -3> and <2, 4, 1> to get:
<1+2, 2+4, -3+1>=<3, 6, -2>
Let a=<3, 6, -2>
The magnitude is
The unit vector in the direction of <u>a</u> is
Using the relation , we have
