The number of weeds found growing along the side

What is the formula and slope of (18, -7) and (18, 2)

Luden [163]

Answer:

Step-by-step explanation:

Coordinate points: (18, -7) and (18,2)

m= rise / run or $\frac{ y_2 - y_1} {x_2 - x_1}$

m = slope

(x1, y1) = coordinates of first point in the line

(x2, y2) = coordinates of second point in the line

So your rise is...

2 - (-7)

and you run is...

18 -18

Rise = 9

Run = 0

Now, do you see the issue...

You can not have a number over 0 (* a great way to remember is N/0 spells no: "N" being number and "0" being zero)

The slope or the equation 9 / 0 (9 divided by 0 or 9 over 0) is ERROR in the calculator which means the slope of these points are undefined

The line is vertical when this happens

*Side Note: if you were to have 0 as you rise and 9 as your run, 0/9 is ok because that means you have a zero slope meaning that you have a horizontal line

0 divide by 9 is zero

4 0

3 years ago

Patrick saved 500$. He received 25% of the money for his birthday , saved 30% of the remainder from his allowance and earned the

mixer [17]

Answer: $262.50

Step-by-step explanation:

25% of 500=125

500-125= 375

30% of 375= 112.5

375-112.5= 262.5

So, the answer is $262.50

7 0

3 years ago

Use the formula Sn =a (1 - rn ) ÷ (1 – r) to find the sum Sn for each of the infinite and finite geometric series.

AVprozaik [17]

Answer: 11

Step-by-step explanation:

5 0

3 years ago

Please help me do it

Lana71 [14]

Step-by-step Explanation:

We are going to solve this problem using integration by parts. We can write the integrand as

$\dfrac{4x}{x^2+4x+3} = \dfrac{4x}{(x+3)(x+1)}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:= \dfrac{A}{x+3} + \dfrac{B}{x+1}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:= \dfrac{Ax + A + Bx + 3B}{x^2+4x+3}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:=\dfrac{(A+B)x + (A+3B)}{x^2+4x+3}$

Comparing the above term to the left hand side, we can see that

(A + B)x = 4x

A + 3B = 0

Solving for A and B, we find that A = 6 and B = -2 so our integrand becomes

$\dfrac{4x}{x^2+4x+3} = \dfrac{6}{x+3} - \dfrac{2}{x+1}$

We can now easily integrate this expression as follows:

$\displaystyle \int{\dfrac{4x}{x^2+4x+3}}dx = 6\int{\dfrac{dx}{x+3}} - 2\int{\dfrac{dx}{x+1}}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:= 6\ln|x+3| - 2\ln|x+1| + C$

7 0

2 years ago

The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm.

baherus [9]

Answer:

The approximate difference between m∠C and m∠A is 45° to the nearest degree

Step-by-step explanation:

* Lets talk about the right triangle

- It has one right angle and two acute angles

- The side opposite the the right angle is called hypotenuse

- The other sides are called the legs of the right angle

- In ΔABC

∵ AC is the hypotenuse

∴ ∠B is the right angle

∴ AB and BC are the legs of the right angle

∴ Angles A and C are the acute angles

∵ m∠B = 90°

- The sum of the measures of the interior angles of a Δ is 180°

∴ m∠A + m∠C = 180° - 90° = 90°

- We will use trigonometry to find the measures of angles A and C

- sin A is the ratio between the opposite side to angle ∠A and the

hypotenuse

∵ BC is the opposite side of angle A

∴ sin A = BC/AC

∵ BC = 5 cm

∵ AC = 13 cm

∴ sin A = 5/13

- Lets find m∠∠A by using sin ^-1

∴ m∠A = $sin^{-1}\frac{5}{13}=22.62$

- Lets use the rule of the sum of angles A and C to find the measure

of the angle C

∵ m∠A + m∠C = 90°

∴ 22.62° + m∠C = 90 ⇒ subtract 22.62 from both sides

∴ m∠C = 67.38°

- Lets find the difference between m∠C and m∠A

∴ The approximate difference between m∠C and m∠A is:

67.38° - 22.62° = 44.78° ≅ 45° to the nearest degree

5 0

4 years ago