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3 years ago

( 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:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

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

Step-by-step explanation:

Step 1: Define

Point (11, 4) → x₁ = 11, y₁ = 4

Point (5, 8) → x₂ = 5, y₂ = 8

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(5-11)^2+(8-4)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{(-6)^2+(4)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{36+16}$
[√Radical] Add: $\displaystyle d = \sqrt{52}$
[√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:

First start with what we know....

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

Because of this we can eliminate B.

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.

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

( With Solution Pls )​

( With Solution Pls )