Find the distance between (-6,8) and (10,-4)

Answers

Answer 1

Answer:

The distance between (-6,8) and (10,-4) is 20 units.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

$D = √[(x-p)² + (y-q)²] D = √((x-p)^2 + (y-q)^2) \: \rm units.$

We are given that;

The points (-6,8) and (10,-4)

Now,

To use the formula, you need to plug in the values of x1, y1, x2 and y2 into the formula and simplify. For example, to find the distance between (-6,8) and (10,-4), you can do:

d = (10 - (-6))^2 + (-4 - 8)^2

d = (16)^2 + (-12)^2

d = 256 + 144

d = 400

d = sqrt(400)

d = 20

Therefore, the distance formula the answer will be 20 units.

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Answer 2

Answer:

Answer:

use the distance formula you can find it on the net

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25. Write an expression to represent the area of the shaded region in simplest form.5x + 2
x + 7
3x - 1

Answers

Final answer:

The expression to represent the area of the shaded region is (5x + 2)(x + 7) - (3x - 1)(x + 7). Simplifying the expression gives us 2x^2 + 42x + 7.

Explanation:

To find the area of the shaded region, we need to subtract the area of the smaller rectangle from the area of the larger rectangle. The larger rectangle has a length of (5x + 2) and a width of (x + 7), while the smaller rectangle has a length of (3x - 1) and a width of (x + 7). Therefore, the expression to represent the area of the shaded region is:

(5x + 2)(x + 7) - (3x - 1)(x + 7)

To simplify this expression, we can use the distributive property. First, we simplify the expression in the parentheses:

(5x + 2)(x + 7) - (3x - 1)(x + 7)

(5x^2 + 35x + 2x + 14) - (3x^2 - 7x - x + 7)

Next, we distribute the negative sign:

5x^2 + 35x + 2x + 14 - 3x^2 + 7x + x - 7

Finally, we combine like terms:

2x^2 + 42x + 7

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Answer:

Step-by-step explanation:

To determine what the area of the shaded region is, simply find the area of the large rectangle and subtract the product from the smaller one.

Since they are polynomials. Multiply one binomial to the other and first obtain the product, before subtracting the product of the smaller rectangle.

(5x + 2)(3x - 1) - (x)(x + 7)

15x^2 - 5x + 6x - 2 - x^2 - 7

14x^2 + x - 9.

I believe this would be the solution in standard form.

Factoring trinomials word problems.

Answers

So see if u can factor out the trinomial.
it's factorable.
(x+3)(×-2)

so divide that factors by (×-2)

(×-2)(×+3)
---------
(×-2)

the (×-2) cancel out, leaving x+3

Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction.A. 4/10
B. 2/5
C. 42/48
D. 245/1152

Answers

the answer is B.2/5
flip 35/48 so it looks like this 48/35 then chance the divide symbol and put the multiply symbol 7*48=336, and 24*35=840. your answer is 336/840 then simply reduce to get 2/5.

  7 35
------ ÷ -------- = ?
24 48

48
------
35

  7   48
------- × --------
24 35

7 × 48 = 336

24 × 35 = 840

336 2
-------- = -------
840 5

SO, Your answer would be B. 2/5.

  7 35 2
------ ÷ ------- = ------- (Simplest Form)
24 48 5

Hope I helped:P

Doubling the quantity of a number decreased by six is less than negative thirty-six

Answers

Here's the formula: 2a-6 < -36

Clara drove 248 miles in 4 hours. what was her average rate of speed

Answers

Hi there, to solve this problem we divide 248 miles by 4 hours. Let's begin, 248 miles ÷ 4 hours = 62. Therefore, Clara's average rate of speed was 62.

What is the result of 8 2/8 - 6 5/8

Answers

$8 (2)/(8)-6 (5)/(8) \n \n 8 (1)/(4) - 6 (5)/(8) \ / \ simplify \n \n (8 * 4 + 1)/(4) - 6 (5)/(8) \ / \ convert \ to \ improper \ fraction \n \n (32+1)/(4) 6 (5)/(8) \ / \ simplify \n \n (33)/(4) - 6 (5)/(8) \ / \ simplify \n \n (33)/(4) - (48+5)/(8) \ / \ simplify \n \n (33)/(4) - (53)/(8) \ / \ simplify \n \n LCD = 8 \ / \ least \ common \ denominator \n \n (33 * 2)/(4 * 2) - (53)/(8) \ / \ multiply \n \n$
$(66)/(8) - (53)/(8) \ / \ simplify \n \n (66-53)/(8) \ / \ combine \ denominators \n \n (13)/(8) \ / \ simplify \n \n 1 (5)/(8) \ / \ convert \ to \ mixed \ fraction \n \n Answer: \fbox {1 / 5/8} \ or \fbox {1.625}$

$8 (2)/(8) - 6(5)/(8) =((8*8)+2)/(8)-((6*8)+5)/(8)= (64+2)/(2)-(48+5)/(8)=(66)/(8)-(53)/(8) =(13)/(8)\n\n=\boxed{\bf{1(5)/(8)}}$