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3 years ago

SECTION B

Mathematics

1 answer:

yarga [219]3 years ago

3 0

9514 1404 393

Answer:

180 km

Step-by-step explanation:

The Nissan had traveled (120 km/h)(1/3 h) = 40 km when it had the puncture. It started from that location when the puncture was repaired at t = (1/3+1/2) = 5/6, where t is in hours. Then the two vehicles met (again) when ...

Matatu distance = Nissan distance

90t = 40+120(t -5/6)

0 = 40 +30t -100 . . . . . . subtract 90t, eliminate parentheses

60 = 30t . . . . . . . . . . . add 60

2 = t . . . . . . . . . . . . . 2 hours after leaving, the cars meet again

That distance from town A is ...

y = 90t = 90(2) = 180 . . . . km

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4 years ago

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gregori [183]

Answer (assuming it can be in slope-intercept format):

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Step-by-step explanation:

When knowing the y-intercept of a line and its slope, we can write an equation representing it in slope-intercept form, or $y = mx + b$ .

1) First, find the slope of the equation. Use the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ , to find the slope. Substitute the x and y values of the given points into the formula and simplify:

$m = \frac{(4)-(7)}{(5)-(0)} \\m = \frac{4-7}{5-0} \\m = \frac{-3}{5}$

Thus, the slope is $-\frac{3}{5}$ .

2) Usually, we would have to use one of the given points and the slope to put the equation in point-slope form. However, notice that the point (0,7) has an x-value of 0. All points on the y-axis have an x-value of 0, thus (0,7) must be the y-intercept of the line. Now that we know the slope of the line and its y-intercept, we can already write the equation in slope-intercept format, represented by the equation $y = mx + b$ . Substitute $m$ and $b$ for real values.

Since $m$ represents the slope, substitute $-\frac{3}{5}$ in its place in the equation. Since $b$ represents the y-intercept, substitute 7 in its place. This gives the following equation and answer:

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Step-by-step explanation:

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