Answer: The equation is y=mx+b where m is the slope and b is the intercept, so for your problem slope is 3 and the intercept is -2
Step-by-step explanation:
Simplify the coefficient of z on the left side. We do this by rationalizing the denominators and multiplying them by their complex conjugates:








So, the equation is simplified to

Let's combine the fractions on the right side:


Then

reduces to

Multiply both sides by -1/(17 + 11i) :


Finally, simplify the right side:







So, the solution to the equation is

Answer:
You can solve this with common sense, but I'll do it for you and read my explanation before you demand an answer.
Step-by-step explanation:
When you look at a right angle, one forms 90°
A square has 4 sides, each should measure 90°.
That is how we know that point C measures 90°.
Now let's solve for x.
100+(x+10)+90°=90°
Solve the equation:
100+x+10+90=90
Step 1 : Solve for both sides.
100+x+10+90=90
(x)+(100+10+90)=90 ADD LIKE TERMS!
x+200=90
Step 2: Subtract 200 from both sides so you can make them equal.
x+200−200=90−200
x=−110
So, we get that <em>x=-110</em>. So <em>the blank side</em> should measure <em>90 degrees</em>.
Answer:
I will answer in a general way because the options are not given.
We know that the area of model A is smaller than the area of model B.
For model A, we have 72 shaded sections, out of 100.
Then the quotient of model A is:
72/100 = 0.72
For model B we have 10 sections, and x shaded ones.
Because model B is greater than model A, we know that:
x/10 should be larger than 72/100
then we have the inequality:
x/10 > 0.72
x > 0.72*10
x > 7.2
And we can not have more than 10 shaded sections (because there is a total of 10 sections) then:
10 ≥ x > 7.2
Then x can be any whole number in that interval.
the possible values of x are:
x = 8
x = 9
x = 10