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3 years ago

Which expression represents the area of the garden in square feet?

Mathematics

1 answer:

Kisachek [45]3 years ago

8 0

Answer:

C. 42x² - 3x - 9

Step-by-step explanation:

Area:

(7x + 3) (6x - 3)

7x(6x - 3) + 3(6x - 3)

42x² - 21x + 18x - 9

42x² - 3x - 9

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Which of the following is the quotient of b and a?

vlabodo [156]

$\bf 19^{\frac{7}{4}}\cdot \sqrt[a]{19^b}=19^{\frac{5}{2}}\sqrt{19}\\\\
-----------------------------\\\\
a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
-----------------------------\\\\
thus\qquad 19^{\frac{7}{4}}\cdot 19^{\frac{b}{a}}=19^{\frac{5}{2}}\cdot 19^{\frac{1}{2}}\implies 19^{\frac{7}{4}+\frac{b}{a}}=19^{\frac{5}{2}+\frac{1}{2}}
\\\\\\
$

$\bf 19^{\frac{7}{4}+\frac{b}{a}}=19^{\frac{6}{2}}\implies 19^{\frac{7}{4}+\frac{b}{a}}=19^3\impliedby 
\begin{array}{llll}
\textit{same base, thus}\\
\textit{exponents must be the same}
\end{array}
\\\\\\
\cfrac{7}{4}+\cfrac{b}{a}=3\implies \cfrac{b}{a}=3-\cfrac{7}{4}$

5 0

3 years ago

Angle n and angle p are linear pairs, and angle n is 10 more than twice the measure of angle p. Determine the measure of angle p

frutty [35]

Answer:

p = 56.7°

n = 123.3°

Step-by-step explanation:

The sum of linear pair angles is 180° because, because a linear pair angles, are angles formed by two intersected lines and the angle of a straight line is 180°.

Then your first equation is:

n + p = 180°

The second equation can be formulated with the information given:

"angle n is 10 more than twice the measure of angle p."

n = 10 + 2p

Replacing in the first equation:

10 + 2p + p = 180°

3p = 170°

p = 56.7°

n = 123.3°

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3 years ago