Answer:
Step-by-step explanation:
13/4 x 4/1
52/4
13
-
3/8 x 10/6
30/48
5/8
Answer:
Simplification
x(y+4)+3(2x+7y) = xy + 10x + 21y
= x(y + 10) + 21y
On evaluation when x=5 and y=6,
The expression is equal to 206
Step-by-step explanation:
Note that x and y are unknown variables.
On expansion,
x(y+4)+3(2x+7y)
= xXy + xX4 + 3X2x + 3X7y
= xy + 4x + 6x + 21y
= xy + 10x + 21y
On factorising,
xy + 10x + 21y = x(y + 10) + 21y
Evaluation when x=5 and y = 6
We substitute the given values of x and y into the simplified expression
xy + 10x + 21y
= 5X6 + 10X5 + 21X6
= 30 + 50 + 126
= 206
Therefore, on evaluation of the given expression, when x=5 and y=6, we get 206
M=(y2-y1)/(x2-x1)
(x1,y1)=<span>(−a + 2, b − 3)
</span> (x2,y2)=<span>(a + 2, −b)
then, </span>substituting
m=((-b)-(b − 3))/((a + 2)-(−a + 2))
m=(-2b+3)/(2a)
with
a=/0
Answer:
1. x >= 5
2. x > -8
3. x < 4
4. x <= 8
Step-by-step explanation:
Multiply all terms by x and cancel:<span><span>6+<span>2x</span></span>=<span><span>3x</span>4</span></span><span><span><span>2x</span>+6</span>=<span><span>34</span>x</span></span>(Simplify both sides of the equation)<span><span><span><span>2x</span>+6</span>−<span><span>34</span>x</span></span>=<span><span><span>34</span>x</span>−<span><span>34</span>x</span></span></span>(Subtract 3/4x from both sides)<span><span><span><span>54</span>x</span>+6</span>=0</span><span><span><span><span><span>54</span>x</span>+6</span>−6</span>=<span>0−6</span></span>(Subtract 6 from both sides)<span><span><span>54</span>x</span>=<span>−6</span></span><span><span><span>(<span>45</span>)</span>*<span>(<span><span>54</span>x</span>)</span></span>=<span><span>(<span>45</span>)</span>*<span>(<span>−6</span>)</span></span></span>(Multiply both sides by 4/5)<span>x=<span><span>−24</span>5</span></span>Check answers. (Plug them in to make sure they work.)<span>x=<span><span><span>−24</span>5</span></span></span>
