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iris [78.8K]
2 years ago
8

Write an equation of the line that passes through a pair of points (5, -2) , (4,5)

Mathematics
1 answer:
sergeinik [125]2 years ago
3 0

Answer:

y = -7x + 33

Step-by-step explanation:

<u>Use the Point Slope Form:  (y - y1) = m(x - x1)</u>

<u />

<u>Step 1:  Find the Slope</u>

Slope = \frac{y2 - y1}{x2 - x1}

Slope = \frac{5 - (-2)}{4 - 5}

Slope = \frac{5 + 2}{-1}

Slope = \frac{7}{-1}

Slope = -7

<u>Step 2:  Plug into the point slope form</u>

(y - 5) = -7(x - 4)

y - 5 + 5 = -7x + 28 + 5

y = -7x + 33

Answer:  y = -7x + 33

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Talja [164]
No, because every animal is different.
5 0
3 years ago
The price of a watch was increased by 20% to £162. <br> What was the price before the increase?
Inessa [10]

Answer:

The answer is 135

Step-by-step explanation:

We can use formula: 162...120% since the price was increased by 20% which means it is 120%

So: 162...120%

x.... 100%

120x = 16200 => x = 135

4 0
2 years ago
What is the perimeter of the parallelogram?
Leni [432]

Answer:

P= 2 (a+b)

Step-by-step explanation:

7 0
3 years ago
Part B A sales person earned 1375
Furkat [3]

Question:

A salesperson earns commission on the sales that she makes each month.

The salesperson earns a 5% commission on the first $5,000 she has in sales.

The salesperson earns a 7.5% commission on the amount on her sales that are greater than $5,000.  

Part A:

This month the salesperson had $8,000 in sales. What amount of commission, in dollars, did she earn?

Part B:

The salesperson earned $1,375 in commission, last month. How much money, in dollars, did she have in sales last month?

Answer:

A) The amount of commission  = $575

B) The total sales amount  =  $20000

Step-by-step explanation:

<h3><u>Part A </u></h3>

Given:

Total amount earned =  $8,000 in sales

To Find :

The amount of commission, in dollars

Solution:

The commission she earns = Commission 1+ Commission 2----------(1)

Commission 1 = 5% of 5000

Commission 2  = 7.5 % of (8000- 5000}

Finding commission 1:

= 5% of 5000

= \frac{5}{100} \times 5000

= 0.05 \times 5000

= $250 ------------------------------(2)

Finding commission 2:

=  7.5 % of (3000)

=\frac{7.5}{100}\times 3000

= 0.075 \times 3000

= $225----------------------------------(3)

Substituting (2) and (3) in (1)

The commission she earns = $250 + $225 = $575

<h3><u>Part B</u></h3>

Given:

Total commission earned = $1375

To Find :

The total sales amount = ?

Solution ;

Let the sales amount be x

Then

1375 = 5% of  5000 + 7.5 % of (x -5000)

1375 = 0.05 \times 5000 + 0.075 \times (x -5000)

1375 = 250 + 0.075x - 375

1375 = -125 + 0.075 x

1375 +125 = 0.075 x

1500 = 0.075x

x = \frac{1500}{0.075}

x = 20000

The total sales amount  is $20000

5 0
3 years ago
What is the approximate diameter of a sphere with a volume of 34 cm
Nutka1998 [239]

Answer:

<h3>The diameter is 4cm</h3>

Step-by-step explanation:

Volume of a sphere is

V =  \frac{4}{3} \pi {r}^{3}

Where r is the radius

diameter = radius × 2

To find the diameter we must first find the radius

Volume = 34cm³

That's

34 =  \frac{4}{3} \pi {r}^{3}  \\  \\ 34 \times 3 = 4\pi {r}^{3}  \\  \\ 102 = 4\pi {r}^{3}  \\  {r}^{3}   = \frac{102}{4} \pi \\  \\ r =  \sqrt[3]{ \frac{51}{2\pi}}  \\  \\ r = 2.01 \\  \\ r = 2.0 cm

Diameter = 2 × 2cm

<h3>= 4cm</h3>

Hope this helps you

6 0
2 years ago
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