3 years ago

GIVING BRAINLIEST!!!!

Mathematics

1 answer:

diamong [38]3 years ago

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Answer:

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Which value must be added to the expression x2 + x to make it a perfect-square trinomial? One-fourth One-half 1 4

SVEN [57.7K]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

Given

x² + x

To complete the square

add ( half the coefficient of the x- term )² to x² + x

x² + 2( $\frac{1}{2}$ )x + ( $\frac{1}{2}$ )² = x² + x + $\frac{1}{4}$

= (x + $\frac{1}{2}$ )² ← perfect square

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3 years ago

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Nezavi [6.7K]

The correct answer you need will equal 9

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3 years ago

Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?

QveST [7]

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
C&({{ -1}}\quad ,&{{ 4}})\quad 
% (c,d)
D&({{ 2}}\quad ,&{{ 0}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
CD=\sqrt{[2-(-1)]^2+(0-4)^2}\implies CD=\sqrt{(2+1)^2+(-4)^2}
\\\\\\
CD=\sqrt{9+16}\implies CD=\sqrt{25}\implies CD=5$