4 years ago

Translate the phrase into an algebraic expression. The product of 7 and x

Mathematics

1 answer:

Luda [366]4 years ago

3 0

It’ll be 7*x or just 7x

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3 years ago

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photoshop1234 [79]

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3 years ago

What is the area of a rectangle that is \dfrac1{2} 2 1 start fraction, 1, divided by, 2, end fraction of a meter long and \dfr

sashaice [31]

Answer:

$Area = \frac{3}{16} m^2$

Step-by-step explanation:

Given

Shape: Rectangle

$Length = \frac{1}{2}\ m$

$Width = \frac{3}{8}\ m$

Required

Determine the area of the rectangle;

Area is calculated as thus;

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<em>Hence, the area of the rectangle is </em> $\frac{3}{16}m^2$ <em />

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3 years ago

indicate in standard form the equation of the line in standard form. the line through (2,-1) and parallel to a line with slope 3

Art [367]

$k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1\cdot m_2=-1\\\\k\ ||\ l\iff m_1=m_2$

We have $m_1=\dfrac{3}{4}$ .

$y=m_2x+b\to m_2=\dfrac{3}{4}$

$y=\dfrac{3}{4}x+b$

The line passes through point (2, -1). Substitute the coordinates of the point to the equation of a line:

$-1=\dfrac{3}{4}\cdot2+b\\\\-1=\dfrac{3}{2}+b\ \ \ \ |-\dfrac{3}{2}\\\\b=-\dfrac{2}{2}-\dfrac{3}{2}\\\\b=-\dfrac{5}{2}$

$y=\dfrac{3}{4}x-\dfrac{5}{2}\ \ \ \ |\cdot4\\\\4y=3x-5\cdot2\ \ \ \ |-3x\\\\-3x+4y=-10\ \ \ \ \ |\cdot(-1)\\\\3x-4y=10$

<h2>Answer: 3x - 4y = 10</h2>

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4 years ago