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Law Incorporation [45]
3 years ago
5

What is the slope of the line that goes through (2, 5) and (-6, -2) ?

Mathematics
1 answer:
alexira [117]3 years ago
7 0
Answer:
slope = 7/8

Explanation:
Slope of the line can be calculated using the following equation:
slope = \frac{y2 - y1}{x2 - x1}

The two points given are:
(2,5) representing (x1 , y1)
(-6,-2) representing (x2 , y2)

Substitute with the points in the above equation to get the slope as follows:
slope = \frac{-2 - 5}{-6 - 2} = 7/8

Hope this helps :)

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Pls help …. Need it immediately ….
Leno4ka [110]

The answer is 10.73 years.

Here, the formula we can use is :

\boxed {Children = \frac{Boys+Girls}{2}} (for the average)

Substitute the values mentioned in the question.

10.54 = (10.35 + Girls)/2

21.08 = 10.35 + Girls

Girls = 10.73 years

3 0
2 years ago
LaShaundra is buying fence for two triangular sections of her garden.
mixas84 [53]

Answer: 80 feet.


Step-by-step explanation:

1. As you can see in the figure, triangle ABC and the triangle DFG are similar.

2. The scale of factor of triangle ABC to triangle DFG is the following:

sf=\frac{20ft}{4ft}\\sf=5ft

3. Therefore, the lenght of the side DG of the trinagle DFG is:

DG=5*AC\\DG=5*7ft\\DG=35ft

4. The perimeter of the triangle DFG is:

P_{DFG}=20ft+25ft+35ft=80ft

5. Therefore, she would need 80 feet of fence.


8 0
3 years ago
The First Chicago Bank is reviewing its service charges and interest-paying policies on checking accounts. The daily balance of
mrs_skeptik [129]

Answer:

The percentage of the bank's customers carry daily balances between $700 and $1,000 is 65.7%.

The minimum daily balance on which it should be willing to pay interest is $1,198.

Step-by-step explanation:

We have a normal distribution with mean = $800 and standard deviation = $150.

a) We can calculate this value with the standard normal distribution, calculating the z-value for $700 and $1,000.

z_1=\frac{x-\mu}{\sigma} =\frac{700-800}{150}= \frac{-100}{150} =-0.67\\\\\\z_2=\frac{1,000-800}{150}=\frac{200}{150}=1.33\\\\\\P(700

The percentage of the bank's customers carry daily balances between $700 and $1,000 is 65.7%.

b) We must calculate from what amount only 6% of the accounts remain.

This is done by solving:

P(z>x)=0.06

This happens for a z-value of z=2.652.

This corresponds to a amount of $1,198.

x=\mu+z*\sigma=800+2.652*150=800+398=1,198

The minimum daily balance on which it should be willing to pay interest is $1,198.

8 0
4 years ago
A drawing has a scale of 3 in. : 2 ft. What is the scale factor of the drawing?
icang [17]

The scale factor of the drawing as described is; 1.5in/ft

<h3>Scale factor of drawings</h3>

According to the question;

  • The given scale factor of the drawing is; 3 in: 2 ft.

In essence, 3 inches on the drawing board represents 2 ft of the object.

Hence, by finding the quotient of the units, we have;

  • 3in/2ft = 1.5 in/ft

Read more on scale factor;

brainly.com/question/2826496

3 0
2 years ago
Manuel made at least one error as he found the value of this expression. Identify the step in which Manuel made his first error.
tamaranim1 [39]

Answer:

Manuel made his first mistake in step 2 leading to the continuous mistakes

Final answer=185

Step-by-step explanation:

Manuel made at least one error as she found the value of this expression. 2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50) Step 1: 2(-20) + 3(-25) + 5(20) + 4(50) Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50) Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405 Identify the step in which Chris made her first error. After identifying the step with the first error, write the corrected steps and find the final answer.

2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50)

Step 1: 2(-20) + 3(-25) + 5(20) + 4(50)

Step 2: -40 - 75 + 100 +

200

Step 3: -115 + 300

Step 4: 185

Manuel made his first error in step 2 by combining two different terms into one as he has done

(3 + 2)(-20 + -25) and also (5 + 4)(20 + 50)

Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50)

Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405

He should have evaluated the terms separately as I have done above, giving us 185 as the final answer in contrast to his 405 final answer.

5 0
3 years ago
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