For what values of k will the equation 4x² + 8x + k = 0 have two complex solutions?

Step-by-step explanation:

this one is quadratic equation…. you need to look at the general rule of solving it.

ax2 + bx + c = 0 …. first you need to get the equation as in the general form.

x= [-b(+ or -) sqrt(b^2–4ac)]/2a …. then you need to work with this formula….

b^2–4ac ….. this expression is what you need to look at. if what is inside the root is greater than ZERO, then you have two real roots. if it is equal to ZERO, then you have one real root. if less than ZERO, then it has no real roots.

the equation becomes as follows:

4x^2 + {8–4k}x + {3k-8} = 0

a= 4, b= 8–4k and c= 3k-8.

b^2–4ac => 0

answer: can you me with homework?

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

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to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.