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Romashka [77]
3 years ago
14

( With Solution Pls )​

Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0

Answer:

8/5=1.6

so yeah I hope I do good on everything ellseee

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Which expression represents the distance between the points (11, 4) and (5,8)?
antiseptic1488 [7]

Answer:

\displaystyle d = 2\sqrt{13}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (11, 4) → x₁ = 11, y₁ = 4

Point (5, 8) → x₂ = 5, y₂ = 8

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                       \displaystyle d = \sqrt{(5-11)^2+(8-4)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                 \displaystyle d = \sqrt{(-6)^2+(4)^2}
  3. [√Radical] Evaluate exponents:                                                                    \displaystyle d = \sqrt{36+16}
  4. [√Radical] Add:                                                                                               \displaystyle d = \sqrt{52}
  5. [√Radical] Simplify:                                                                                         \displaystyle d = 2\sqrt{13}
4 0
3 years ago
What is 70=1/2((5x+10)-(3x-2))
Nina [5.8K]

Answer: x = 64

Step-by-step explanation:

70 = 1/2((5x+10)-(3x-2)

(remove the inner bracket)

70 = 1/2(5x+10-3x+2)

(transfer 1/2 to LHS)

70*2 = 2x + 12

140 = 2x+12

(transfer 12 to LHS)

140 - 12 = 2x

128 = 2x

(transfer 2 to LHS)

128/2 = x

=>x = 64

hope it helps

3 0
3 years ago
The slope of a line is –2 and its y-intercept is (0, 3). What is the equation of the line that is parallel to the first line and
notsponge [240]

Answer:

D. y=-2x-6

Step-by-step explanation:

<u><em>First start with what we know....</em></u>

y = -2x + 3 (Slope Intercept Form)

<u><em>Because of this we can eliminate B.  </em></u>

<u><em>Parallel means that the lines wouldn't be touching which means they should have the same slope and the only one with the same slope is D. </em></u>

7 0
3 years ago
Read 2 more answers
What are the values of x and y?
adoni [48]

Answer:

Step-by-step explanation:

hello :

use pytagor-rule :

triangle ABC : (x+15)² =17²+y²....(*)

triangle BDC : y² = x²+8²....(**)

by (**) put the value of y² in (*) :

(x+15)² = 17²+x²+8²

x²+30x+15² = 17²+x²+18²

30x +225 = 289+64

30x = 128

x= 128/30

x= 64/15

put this value in (**) calculate y²  ......continu

4 0
4 years ago
A farmer wants to build a rectangular pen which will be bounded on one side by a river and on the other three sides by a single-
Marat540 [252]

Answer:

A) Dimensions;

Length = 20 m and width = 10 m

B) A_max = 200 m²

Step-by-step explanation:

Let x and y represent width and length respectively.

He has 40 metres to use and he wants to enclose 3 sides.

Thus;

2x + y = 40 - - - - (eq 1)

Area of a rectangle = length x width

Thus;

A = xy - - - (eq 2)

From equation 1;

Y = 40 - 2x

Plugging this for y in eq 2;

A = x(40 - 2x)

A = 40x - 2x²

The parabola opens downwards and so the x-value of the maximum point is;

x = -b/2a

Thus;

x = -40/2(-2)

x = 10 m

Put 10 for x in eq 1 to get;

2(10) + y = 40

20 + y = 40

y = 40 - 20

y = 20m

Thus, maximum area is;

A_max = 10 × 20

A_max = 200 m²

6 0
3 years ago
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