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VMariaS [17]
3 years ago
9

Two cars start moving from the same point. one travels south at 48 mi/h and the other travels west at 20 mi/h. at what rate is t

he distance between the cars increasing four hours later?
Mathematics
1 answer:
timofeeve [1]3 years ago
3 0
<span>Two cars start moving from the same point. one travels south at 48 mi/h and the other travels west at 20 mi/h. at what rate is the distance between the cars increasing four hours later? so its 400%</span>
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Equations is the inverse of y = x^2-5?
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Answer:

Step-by-step explanation:

1.  Interchange x and y.  We get:  x = y^2 - 5

2. Solve for y:  y^2 = x + 5, so that y = ±√(x + 5)

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the temperature in Nico's town was -2.9 f at noon . the temperature increased at a steady rate of 1.3 f per hour until 6:00p.m.
kotykmax [81]
Temperature at noon: Tn=-2.9 f
Rate: r=+1.3 f/h
Total decreased: d=-3.7 f 
Temperature at midnight: Tm=?

Tm=Tn+r(6 p.m.-12 m)+d
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3 years ago
For the linear equation 3x + 7y = 42: a. Determine the slope: b. Determine y- intercept if it exists: c. Express equation in slo
algol13

Answer:  The required answers are

(a) the slope of the given line is -\dfrac{3}{7}.

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is y=-\dfrac{3}{7}x+6.

Step-by-step explanation:  We are given the following linear equation in two variables :

3x+7y=42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to :

(a) determine the slope,

(b) determine the y-intercept, if exists

and

(c) express equation in slope-intercept form.

We know that

The SLOPE_INTERCEPT form of the equation of a straight line is given by

y=mx+c, where m is the slope and c is the y-intercept of the line.

From equation (i), we have

3x+7y=42\\\\\Rightarrow 7y=-3x+42\\\\\Rightarrow y=\dfrac{-3x+42}{7}\\\\\\\Rightarrow y=-\dfrac{3}{7}x+6.

Comparing with the slope-intercept form, we get

\textup{slope, m}=-\dfrac{3}{7},\\\\\\\textup{y-intercept, c}=6.

Thus,

(a) the slope of the given line is -\dfrac{3}{7}.

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is y=-\dfrac{3}{7}x+6.

3 0
3 years ago
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