1. What is the equation, in slope-intercept form, of the line that passes through (0, 5) and has a slope of −1?

1 answer:

6 0

1. The slope is the number that is multiplied by X, since the slope is -1, when multiplied by X you would get -X, the y intercept is the given y coordinate (5), so the equation would be y = -x+5

2. Replace f(h) with 225 and solve for h:

225 = 15h +75

Subtract 75 from each side:

150 = 15h

Divide both sides by 15:

h = 10 hours

3. 4x + 2y = -2

subtract 4x from each side"

2y = -4x - 2

Divide both sides by 2:

y = -4x-2 / 2

y = -2x -1

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Find the length of dm in the given fig.

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Answer:

$DM=12$

Step-by-step explanation:

(Let the point where the altitude from $D$ intersects $AB$ be called as point $E$ .) First, let's find the area of parallelogram $ABCD$ . The area of a parallelogram is simply $b*h=bh$ , where $b$ is the parallelogram's base and $h$ is the parallelogram's height. If we let $AB$ and $DE$ be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram $ABCD$ will be $AB*DE=15*8=120$ .

Now, how does this information matter, you might ask? Well, we can take either $AB$ or $CB$ to be the base and either $DE$ or $DM$ to be the height. In this case, let's take the latter two options, as we are looking to find the length of $DM$ .

Therefore, we know that the area of parallelogram $ABCD$ can also be found by calculating $CB*DM$ . Since we know the values of the area and $CB$ , we can write the following equation to solve for $DM$ :