All categories

3 years ago

Write the slope-intercept form of the equation through (4, 2) perpendicular to y=4x-4

Mathematics

1 answer:

Snezhnost [94]3 years ago

5 0

Answer:

y = -1/4x + 3

Step-by-step explanation:

y=mx+b is the slope-intercept form, which your equation y=4x-4 is already in.

To find the perpendicular line, you must take the negative reciprocal of the slope.

y = -1/4x + b

Your "b" will not be the same as the given equation, since the y-intercepts will not be the same. Therefore, you must solve for it using the point given.

Plug in (4, 2) [general: (x, y)] to the corresponding spots in y = -1/4x + b.

(2) = -1/4(4) + b

2 = -1 + b

b = 3

Now that you know m and b, you can plug all the values back into the form y = mx+b.

**Remember that y and x are never plugged back in! You need two variables to have a linear line

y = -1/4x + 3 is the answer.

You might be interested in

Round the nearest hundred 1.886

Ksivusya [100]

1.886 to the nearest hundredth would be 2.

8 0

2 years ago

Read 2 more answers

Nolan's car used 2 gallons to travel 50 miles. How far can he travel on 3 gallons?

ElenaW [278]

Answer:

On 3 gallons, he could travel 75 miles

Step-by-step explanation:

50 / 2 = 25 miles per gallon

25 * 3 = 75miles

5 0

2 years ago

How would you solve this?

finlep [7]

Answer:the probability that a pensioner catches a flu is 0.3 or $\frac{3}{10}$

Step-by-step explanation:

Data:

a) Pensioners who have had a flu jab = $\frac{3}{5}$

b) Pensioners who did not had a flu jab = 1 - $\frac{3}{5}$ = $\frac{2}{5}$

For the first pair of arrows: a is the probability of the upper arrow and b is the probability of the lower arrow.

If pensioner have had a flu jab, the probability of catching flu is $\frac{1}{30}$

Data:

c) Catching flu = $\frac{1}{30}$

d) Not catching flu = 1 - $\frac{1}{30}$ = $\frac{29}{30}$

The second pair of arrows on the top: Top arrow is c and bottom arrow is d

If pensioner did not have a flu jab, the probability of catching flu is $\frac{7}{10}$

Data:

e) Catching flu = $\frac{7}{10}$

f) Not catching flu = 1 - $\frac{7}{10}$ = $\frac{3}{10}$

The second pair of arrows on the bottom: Top arrow is e and bottom arrow is f.

Q) Probability pensioner catches a flu

P(catches the flu given that he had the flu jab) + P(catches the flu given that he did not have the flu jab)

( $\frac{3}{5}$ x $\frac{1}{30}$ ) + ( $\frac{2}{5}$ x $\frac{7}{10}$ )

= 0.02 + 0.28

= 0.3

Therefore, the probability that a pensioner catches a flu is 0.3 or $\frac{3}{10}$

Keyword: Probability

Learn more about probability at

#LearnwithBrainly

5 0

3 years ago

Jacob and Ali want to run from one corner of a football field to the opposite corner. The rectangular football field is 50 yards

svet-max [94.6K]

Answer:

Jacob ran 40 yards more than Ali.

Step-by-step explanation:

Football field is in the shape of a rectangle having dimensions 120 yards × 50 yards

Since Jacob runs around the perimeter of the field from one corner to other corner, therefore, distance run by Jacob = $(\text{Length+width})$

Distance run by Jacob = 50 + 120 = 170 yards

Ali runs through the middle of the field diagonally on a straight line.

Therefore, distance covered by Ali = $\sqrt{\text{length}^{2}+\text{width}^{2}}$

= $\sqrt{(50)^{2}+(120)^{2}}$

= $\sqrt{2500+14400}$

= $\sqrt{16900}$

= 130 yards

Now difference between the distance covered by Jacob and Ali

= 170 - 130

= 40 yards

Therefore, Jacob ran 40 yards more than Ali.

7 0

3 years ago

Solve the following compound inequality 4

CaHeK987 [17]

Answer:

$0 < x < 8$

Step-by-step explanation:

Given

$4 < x + 4 < 12$

Required

Solve

$4 < x + 4 < 12$

Split:

$4 < x + 4$ and $x + 4< 12$

Collect Like Terms

$4 - 4 < x$ and $x < 12- 4$

$0$ and $x < 8$

Combine

$0 < x < 8$

7 0

3 years ago