Answer:
are there any answer choices
Step-by-step explanation:
i believe its 18
sry if im wrong
Answer:

Step-by-step explanation:
Given:
The equation of the known line is:

A point on the unknown line is (-4, 4)
Now, since the two lines are parallel, their slopes must be equal.
Now, slope of the known line is the coefficient of 'x' which is
.
Therefore, the slope of the unknown line is also 
Now, for a line with slope 'm' and a point on it
is given as:

Here,
. Therefore,

Hence, the equation of the unknown line is
.
<span>(5+2 i)(4-3i) - (5-2yi)(4-3i)
Factorize out (4 -3i)
(4 -3i)( (5 +2i) - (5 -2yi) )
= </span><span><span>(4 -3i)(5 +2i - 5 + 2yi)</span>
= </span><span><span>(4 -3i)(5 - 5 + 2i + 2yi)</span>
= (4 -3i)(2i + 2yi)
= (4 - 3i)(2 + 2y)i. Let's multiply the first two.
</span>
(4 - 3i)(2 + 2y) = 2*(4 -3i) + 2y*(4 - 3i)
= 8 - 6i + 8y - 6yi
= 8 + 8y - 6i - 6yi
(4 - 3i)(2 + 2y)i = (8 + 8y - 6i - 6yi)i Note: i² = -1
= 8i + 8yi - 6i² - 6yi²
= 8i + 8yi - 6(-1) - 6y(-1)
= 8i + 8yi + 6 + 6y
= 6 + 6y + 8i + 8yi
= (6 + 6y) + (8 + 8y)i In the form a + bi
Let x be your first alloy
2/5x+7/10(30-x)=1/2(30)
4x+210-7x=150
3x=60
x=20
So, you need 20 lbs of the first alloy, and 10 parts of the second to make 30 lbs of half iron and half silver alloy!
Answer:
It is a little hard to see where your steps are for the equation, but x = 4, and I will explain:
Step-by-step explanation:
We know y = -1.5x +4, so we plug that into the equation
6x - 5(-1.5 + 4) = 34
6x +7.5x - 20 = 34 Here we distributed the -5 into the parenthesis.
13.5x -20 = 34
13.5 = 54
x = 4
Hope this helps!