ALGEBRA NATION!!! NEED HELP :(

Using the property of squares find the value of the following 24 square - 23 square

UkoKoshka [18]

Answer:

47

Step-by-step explanation:

Using the follwing property

$x^{2} -y^2=(x+y)(x-y)$

in which x=24 and y=23

so

$24^2-23^2=(24-23)(24+23)\\=1(47)\\=47$

6 0

3 years ago

Read 2 more answers

Let w=width and 4 + w=

kozerog [31]

Answer:

Part 1 : $w^2+4w-60=0$

Part 2 :

w=6

l = 10

Step-by-step explanation:

Part 1:

Let the width of the rectangle = w

Length of the rectangle = w + 4

Area of the rectangle is given as

60 Sq Yrds

$60=w(w+4)$

$60=w^2+4w$

$w^2+4w-60=0$

Hence this expression represents the area of the rectangle. Solving which for w will give us the width of the rectangle.

Part 2:

(w+10)(w-6)= 0

either (w+10) = 0

or

(w-6)=0

or both are zero

(w+10) = 0 ⇒ w = -10

not possible as the dimension can not be 0

(w-6)=0 ⇒ w=6

Hence the width is 6 yards

And thus the length will be 6+4 = 10 yards

8 0

3 years ago

4x-6y=14 slope and y intercept?

alexandr1967 [171]

Answer:

m = 0.667

Step-by-step explanation:

Calculate and show the solution for the x-intercept and y-intercept of 4x - 6y = 14.

Calculate the graph plot coordinates for 4x - 6y = 14

Solve 4x - 6y = 14 for x and also for y.

Calculate and show the solution for the slope of 4x - 6y = 14

Find x-intercept

The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.

4x - 6y = 14

4x - 6(0) = 14

x1 = 3.5 y1 = 0

Find y-intercept

The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.

4x - 6y = 14

4(0) - 6y = 14

y2 = -2.333 x2 = 0

Get Graph Plot Coordinates

Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).

Thus, we use the x-intercept and y-intercept results above to get the graph plots for 4x - 6y = 14 as follows:

(x1,y1) and (x2,y2)

(3.5,0) and (0,-2.333)

Find slope

The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 4x - 6y = 14

m = (y2 - y1)/(x2 - x1)

m = (-2.333 - 0)/(0 - 3.5)

m = 0.667

hope this is correct! c:

3 0

2 years ago

Read 2 more answers

5

zepelin [54]

The question is incomplete. Below you will find the missing figure.

Two friends, Andrew and Liz, are playing a game using this spinner. If the

spinner lands on region 2 or 3, Andrew wins. If it lands on region 4, Liz wins. If it lands on any other region, neither wins. Is this a fair game?

A. Yes. Each friend has a 1/4 probability of winning.

B. Yes. Each friend has a 1/6 probability of winning.

C. No. Andrew has a probability of 1/4 winning and Liz has a probability of 1/6 winning.

D. No. Andrew has a probability of 1/3 winning and Liz has a probability of 1/4 winning.

The correct option is Option A: Yes. Each friend has 1/4 probability of winning.

Probability is the possibility of an event to happen which is the ratio of no. favorable outcomes and no. of total outcomes.

P = no. of favorable outcome/ total no. of outcome

Here given in the question,

If the spinner touches region 2 or 3, Andrew wins

If the spinner touches region 4, Liz wins.

This is fair play because both have the same size of region for winning.

If we cut the circle into 8 pieces,

as region 1 is the sum of 2 sub-parts of the circle,

possibility of spinner touching region 1= 2/8= 1/4

possibility of spinner touching the small region = 1/8

So the possibility of the spinner touching the region 2or 3= 1/8+1/8= 2/8= 1/4

Hence the possibility of Andrew wins= possibility of the spinner touching region 1= 1/4

possibility of Liz wins= possibility of the spinner touching the region 2 or 3= 1/4

Therefore the correct option is Option A: Yes. Each friend has 1/4 probability of winning.

Learn more about the probability

here: brainly.com/question/24756209

#SPJ10

6 0

2 years ago

[[((3^3 - 7) • 5)/10] + ((1 + 3 + 6 + 9) - 10)]

Gekata [30.6K]

Answer: 19

Step-by-step explanation:

3^3=27, 27-7=20, 20·5=100, 100/10=10.

1+3=4, 4+6=10, 10+9=19, 19-10=9.

10+9=19.

7 0

3 years ago