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antiseptic1488 [7]

4 years ago

7

Ava used the following equation in order to solve a math problem involving integers.

1 answer:

AnnZ [28]4 years ago

5 0

Answer:

The only equation which is incorrect is in option B.

Step-by-step explanation:

Eva used the following equation in order to solving integers, which is

$\frac{-h}{-k} = j$

⇒ $j = \frac{h}{k}$ ......... (1)

Now, if the equation Ava used is correct, then we have to find which of the given equations is not correct.

Now, in option A) it is given that $- j = \frac{- h}{k}$

⇒ $j = \frac{h}{k}$ which is same as equation (1).

In option B) it is given that $- j = \frac{- h}{- k}$

⇒ $j = - \frac{h}{k}$ which is not same as equation (1).

In option C) it is given that $- j = \frac{h}{- k}$

⇒ $j = \frac{h}{k}$ which is same as equation (1).

Again, in option D) it is given that $j = \frac{h}{k}$

⇒ $j = \frac{h}{k}$ which is same as equation (1).

Therefore, the only equation which is incorrect is in option B. (Answer)

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24 is 4 times as great as<br> Pls help

Vaselesa [24]

Answer:

6=k

Step-by-step explanation:

5 0

3 years ago

A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-

seropon [69]

Answer:

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

Step-by-step explanation:

According to the statement, let $A(x,y) = (14,21)$ and $B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})$ . The equation of the line in point-slope form is defined by the following formula:

$y-y_{A} = m\cdot (x-x_{A})$ (1)

Where:

$x_{A}$ , $y_{A}$ - Coordinates of the point A, dimensionless.

$m$ - Slope, dimensionless.

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

$m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}$ (2)

If we know that $x_{A} = 14$ and $y_{A} = 21$ , then the equation of the line in point-slope form is:

$x_{B} = 1.25\cdot (14)$

$x_{B} = 17.5$

$y_{B} = 0.75\cdot (21)$

$y_{B} = 15.75$

From (2):

$m = \frac{15.75-21}{17.5-14}$

$m = -\frac{3}{2}$

By (1):

$y-21 = - \frac{3}{2}\cdot (x-14)$

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

5 0

3 years ago

Which angles are in the exterior

Andre45 [30]

Answer:

a, b, f, and h

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

a truck is rented at 40$ per day plus a charge per mile use. The truck traveled 15 miles in one day, and the total charge was 11

Alla [95]

Answer:

15x + 40 = 115

We set the equation to 115 because the total cost is $115.

We add the "+ 40" because of the $40 to rent the trailer for the day.

The 15x is because it represents the miles per hour (x) times the number of hours.

The number of hours times the charge per mile, plus the $40 to rent it, will equal $115.

Hope this helps!!

5 0

3 years ago

Two girls scout troops are completing a wilderness campouts. The blue troops hikes 2/3 mile every 1/2 hour. The yellow troop hik

sergejj [24]

Answer:

<em>Yellow troop will complete the hike faster than blue troop</em>

<u>Blue troop hikes 1.33 miles in 1 hour</u>

<u>Yellow troop hikes 2.25 miles in 1 hour</u>

Missing portion:

Since the final statement is missing, so we will find how much distance can the troops travels in 1 hour and which troop can complete the hike faster.

Step-by-step explanation:

As given in the statement:

Blue troops travels $\frac{2}{3}$ miles ever $\frac{1}{2}$ hour:

$\frac{1}{2}$ hr = $\frac{2}{3}$ miles

1 hr = $\frac{(2)2}{3}$

1 hr= $\frac{4}{3}$ miles = 1.33 miles

Blue troop hikes 1.33 miles in 1 hour

Yellow troops travels $\frac{3}{4}$ miles ever $\frac{1}{3}$ hour:

$\frac{1}{3}$ hr= $\frac{3}{4}$ miles

1 hr = $\frac{(3) 3}{4}$ miles

1 hr = $\frac{9}{4}$ miles =2.25 miles

Yellow troop hikes 2.25 miles in 1 hour

<u><em>Yellow troop will complete the hike faster than blue troop</em></u>

7 0

3 years ago