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4 years ago

A line passes through the points one, four and three, -4 which is the equation of the line

Mathematics

1 answer:

gavmur [86]4 years ago

6 0

ANSWER

$y = - 4x + 8$

EXPLANATION

The given line passes through (1,4) and (3,-4).

The slope of this line is calculated using the formula:

$m =\frac{y_2-y_1}{x_2-x_1}$

We substitute the points into the slope formula to get:

$m = \frac{ - 4 - 4}{3 - 1}$

$\implies \: m = \frac{ - 8}{2}$

$m = - 4$

We substitute the first point and slope into the point-slope formula

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

This implies that

$y - 4 = - 4(x - 1)$

We expand to get

$y - 4 = - 4x + 4$

$y = - 4x + 2/4+ 4$

$y = - 4x + 8$

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The turtle and achilles compete. They start at the same time from the same place. Achilles runs at a speed of 13 mph while the t

zheka24 [161]

Answer:

0.43 miles

Step-by-step explanation:

Let t be the time it takes Achilles to run the race. Since Achilles runs at a speed of 13 mph, the distance he covers in time t is d = 13t.

Also, by the time Achilles finishes the race, the turtle has already covered a distance, d at a speed of 1 mph in the same time, t. So, d' = 1t = t

Given that when Achilles reaches the finish line, the turtle is 2/5 of a mile behind him, then d - d' = 2/5.

So, 13t - t = 2/5

12t = 2/5

t = 2/5 × 1/12

t = 1/5 × 1/6

t = 1/30 h

So since d = distance from start to finish = distance Achilles covers = 13t,

Substituting t = 1/30 into d, we have

d = 13t

= 13 × 1/30

= 0.43 miles

8 0

3 years ago

Solve the equation a = m – n for the variable n.

MaRussiya [10]

Answer:

$m - a = n$

Step-by-step explanation:

Step 1: Subtract m from both sides

$a - m = m - n - m$

$a - m = -n$

Step 2: Divide both sides by -1

$(a - m) / -1 = -n / -1$

$-a + m = n$

$m - a = n$

Answer: $m - a = n$

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4 years ago

2(3x-9)=5x+2 solve for x

grin007 [14]

You distribute the two in the parenthesis and add both the x and then the 18 and 2 which gives you 20 ;X=20

4 0

3 years ago

Read 2 more answers

(02.06 MC) Figure ABCD is a rhombus, and m∠BAE = 9x + 2 and m∠BAD = 130°. Solve for x. Rhombus ABCD with diagonals AC and BD and

SVEN [57.7K]

An angle bisector divides an angle into equal parts.

The value of x is 7

The given parameters are:

$\angle BAE = 9x + 2$

$\angle BAD = 130^o$

Line AE is the angle bisector of $\angle BAD$

This means that:

$\angle BAD = 2 \times \angle BAE$

So, we have:

$130 = 2 \times (9x + 2)$

Divide both sides by 2

$65 = 9x + 2$

Subtract 2 from both sides

$63 = 9x$

Divide both sides by 9

$7 = x$

Rewrite as:

$x = 7$

Hence, the value of x is 7