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Mathematics

2 answers:

madreJ [45]3 years ago

8 0

Answer: $\sqrt{2^4} \cdot \sqrt{5}$

Explanation:

$\sqrt{80} = \sqrt{2 \times 2 \times 2 \times 2 \times 5} = \sqrt{2^4 \times 5} = \sqrt{2^4} \times \sqrt{5} = \sqrt{2^4} \cdot \sqrt{5}$

The Wise Orange knows that " $\cdot$ " means multiply.

EastWind [94]3 years ago

7 0

$\sqrt{2^4} * \sqrt{5}$
(the middle choice)

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Graph a line with a slope of -3 that contains the points (4,-2)

Lera25 [3.4K]

Answer:

see below for a graph

Step-by-step explanation:

To draw a graph on a grid, locate the point (4, -2) and use the slope to find another point. One such point will be 1 to the left and up 3*, at (3, 1). With two points, you can draw the line through them to complete the graph.

For a graphing tool that requires an equation, the point-slope form of the equation can be used:

y -k = m(x -h) . . . . . a line of slope m through point (h, k)

For the given slope and point, the equation of the line is ...

y +2 = -3(x -4)

y = -3x +10

_____

* The slope is "rise" over "run". The slope of -3 means that a <em>run</em> of +1 will result in a <em>rise</em> of -3. The given point is already below the x-axis, so we don't really want to find more points farther down. In order to go up on a line with negative slope, we must choose a point to the left of the given one.