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3 years ago

The walking distance that is saved by cutting across the lot is

Mathematics

1 answer:

dezoksy [38]3 years ago

8 0

Using the Pythagorean Theorem, we have x^2+(x+2)^2=51^2, and
x^2+ x^2+4x+4=2x^2+4x+4=51^2. After that, we subtract 51^2 from both sides to get 2x^2+4x-2597. Using the quadratic formula (x=(-b+-sqrt(b^2-4ac))/2a in ax^2+bx+c), we get around 35 for x. We did + instead of minus after b due to that it can't be negative! x+2=37, so you save 35+37-51=around 21 feet

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Factor completely: 4x²-8

Bas_tet [7]

4(xsquared -2) thats the answer

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3 years ago

Read 2 more answers

Help me please with some of my math homework I don’t really understand what p is equal to

horrorfan [7]

The value of p is 5.

Step-by-step explanation:

step 1 : The given expression is -6( p -5 )

step 2 : To find any unknown value in an expression, equate it to zero.

step 3 : -6( p -5 ) = 0

step 4 : Multiply -6 to each term in the bracket.

-6p + 30 = 0

-6p = -30

p = -30/-6

p = 5

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3 years ago

Establish which of the following statements are true. (a) A sequence is convergent if and only if all of its subsequences are co

yawa3891 [41]

Answer:

Statement A - True.

Statement B - False.

Statement C - True.

Statement D - False.

Step-by-step explanation:

(a) A sequence is convergent if and only if all of its subsequences are convergent - this statement is correct.

(b) A sequence is bounded if and only if all of its subsequences are bounded - this statement is incorrect.

(d) A sequence is divergent if and only if all of its subsequences are divergent - this statement is incorrect.

8 0

3 years ago

PLEASE HELP ME ON NUMBER 5

Sonja [21]

Answer:

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1. $1.15

2. $1.22

3. $1.09

4. $1.37

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1. $7.60

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2 years ago

At a farmers' market. Karen and Alice each bought some bread that cost $2 per loaf. Then Karen spent $3 to purchase other items,

Lena [83]

Answer:

(1)

Karen: $y = 2x +3$

Alice: $y = 2x +1$

(2): Slope is 2

(3) y intercept

$b = 3$ --- For Karen

$b = 1$ --- For Alice

(4) They do not intersect

(5) No solution

(6) No

Step-by-step explanation:

Given

$x = loaves$

$y = amount$

Solving (1): Complete the equation.

For Karen:

$m = 2$ --- the rate

$b = 3$ --- additional spendings

For Alice:

$m = 2$ --- the rate

$b = 1$ --- additional spendings

The general equation is;

$y = mx +b$

For Karen, it becomes

$y = 2x +3$

For Alice, it is:

$y = 2x +1$

(2): The slopes.

In (1), we have:

$m = 2$ --- the rate (for both Karen and Alice).

This rate implies the slope.

Hence, the slope is 2

(3): The y intercept.

The additional spendings in (1) means the y intercept.

So, we have:

$b = 3$ --- For Karen

$b = 1$ --- For Alice

(4) Because they have the same slope, they do not intersect

(5) Number of solutions.

$y = 2x +3$

$y = 2x +1$

Subtract both equations

$y-y = 2x-2x +3-1$

$0 = 2$

This means there is no solution

(6) Can they spend the same amount on the same number of loaves

In (5), the equations have no solution

Hence, it is not possible to spend the same amount for the same number of loaves

5 0

3 years ago