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3 years ago

Which equation represents a line that passes through (-2, 4) and has a slope of 1/2?

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

3 0

Answer:

$\large\boxed{y-4=\dfrac{1}{2}(x+2)\text{- point-slope form}}\\\boxed{y=\dfrac{1}{2}x+5\text{- slope-intercept form}}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

We have the slope $m=\dfrac{1}{2}$ and the point $(-2, 4)$ .

Substitute:

$y-4=\dfrac{1}{2}(x-(-2))$

$y-4=\dfrac{1}{2}(x+2)$ - point-slope form

Convert to the slope-intercept form (y = mx + b):

$y-4=\dfrac{1}{2}(x+2)$ <em> use the distributive property</em>

$y-4=\dfrac{1}{2}x+1$ <em>add 4 to both sides</em>

$y=\dfrac{1}{2}x+5$ - slope-intercept form

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3 years ago

Write each expression as an equivalent expression with a single logarithm. Assume xx, yy, and zz are positive real

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Answer:

$\ln\frac{xy^2}{z^3}$

Step-by-step explanation:

Data provided:

ln(x) + 2 ln(y) − 3 ln(z)

Now,

From the properties of log function,

ln(A) + ln(B) = ln(AB)

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and,

ln(A) - ln(B) = $\ln\frac{A}{B}$

applying the properties in the given equation

we get

⇒ ln(x) + 2 ln(y) − 3 ln(z)

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4 years ago

sed on the figure below, what is the value of x? A right angle is shown divided in two parts. The measure of the angle of one pa

Bess [88]

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3 years ago

A fishing boat has raidoed the Coast guard for a helicopter to pick up and injured crew member. at the same time of the emerginc

leonid [27]

Answer:

2 hours

Step-by-step explanation:

The question is asking us to get the meeting point of the two and at what time would they arrive here given their individual speeds. Now what needs to be done here is first add their average speeds.

The total average speed = 325 + 25 = 350km/h

Now the distance the helicopter would have traveled would be ; 325/350 * 700 = 650km

The remaining distance left for the boat would be 700 - 650 = 50km

Now the time taken for this would be 650/325 or 50/25 = 2hours

7 0

3 years ago

Read 2 more answers