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3 years ago

What value of b makes the expression x^2 + bx + 4 a perfect square? 1 0 2 4

Mathematics

2 answers:

Anon25 [30]3 years ago

8 0

Answer:

b=4 makes the equation a perfect square.

Step-by-step explanation:

As long as you factorize out the equation, you'll get a result of (x+2)^2. This multiplied using foil gives you, x^2 + 2x + 4. Making it a perfect square. You could also have -2 = b which makes a perfect square, but that's not in the options.

Aloiza [94]3 years ago

8 0

Answer:

Step-by-step explanation:

The constant term 4 is obtained by

adding (half the coefficient of the x- term)²

4 = 2²

Then b = 4

x² + 4x + 4 = (x + 2)² ← a perfect square

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Read 2 more answers

Write an equation in the variables x and y for the line that passes through the point (4, 7) and that is perpendicular to the li

Brrunno [24]

First of all, we need to find the slope of the given line, writing it in the $y=mx+q$ form and reading the $m$ coefficient:

$2x + 2y = 14 \iff 2y = -2x + 14 \iff y = -x+7$

So, the slope is $-1$

If a line with slope $m'$ is perpendicular to a line with slope $m$ , the following relationship holds:

$mm' = -1$

So, the slope of our line must satisfy

$m(-1) = -1 \iff m=1$

So, we need the equation of a line with slope 1 and passing through (4,7). Given the slope $m$ and a point $(x_0,y_0)$ of a given line, its equation is given by