3-14. Do you think that an area model can help rewrite expressions that involve multiplication? The area model below relates the expressions and . With your team, discuss how it can be used to show that these expressions are equivalent. Be prepared to explain your ideas.

Step-by-step explanation:

x² + 6x + 9 = 2

(x + 3)² = 2

x + 3 = ±sqrt(2)

x = -3 ± sqrt(2)

so, B and D are correct.

control :

(-3 + sqrt(2))² + 6(-3 + sqrt(2)) + 9 = 2

9 + 2 - 6sqrt(2) - 18 + 6sqrt(2) + 9 = 2

2 = 2

correct

(-3 - sqrt(2))² + 6(-3 - sqrt(2)) + 9 = 2

9 + 2 + 6sqrt(2) - 18 - 6sqrt(2) + 9 = 2

2 = 2

correct

(3 + sqrt(2))² + 6(3 + sqrt(2)) + 9 = 2

9 + 2 + 6sqrt(2) + 18 + 6sqrt(2) + 9 = 2

38 + 12sqrt(2) = 2

wrong.

(3 - sqrt(2))² + 6(3 - sqrt(2)) + 9 = 2

9 + 2 - 6sqrt(2) + 18 - 6sqrt(2) + 9 = 2

38 - 12sqrt(2) = 2

wrong.

Answer:

1.6 x 10^-6.

Step-by-step explanation:

a) Work out (8 x 10^-3)(2 x 10^-4)

= 8 x 2 x 10^(-3 + -4)

= 16 x 10^-7

Convert this to standard form by dividing the first part by 10 and multiplying the second by 10.

= 1.6 x 10^-6.

Answer:

y = (3/4)x + 17/4

Step-by-step explanation:

since we know the slope is 3/4, we have y = 3/4x + b. next plug in the point given. 5= 3/4(1) + b, simplify the equation to get 17/4=b, and now we have our equation: y = 3/4x + 17/4

(1,5) and (3,9)

[tex]y = 2x + 3[/tex]

(5,8) and (3,2)

[tex]y = 3x - 7[/tex]

(1,-5) and (0,3)

[tex]y = - 8x + 3[/tex]

Hope this will help:)

Answer: A levelling map viewed in Optoprint shows a 0.7mm deviation 'high' in the rear right corner vs the front left 'home' position of the bed.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

$12.72

Step-by-step explanation:

0.75*24=18 dollars-5.28=12.72 dollars

Answer:

(2.5, 4)

Step-by-step explanation:

(4, 7) (1, 1)

midpoint formula is ( (x1 + x2) / 2  , (y1 + y2) / 2 )

=>( (4 + 1)/2 , (7 + 1)/2 )

=> (5/2, 4)

=> (2.5, 4)

Answer: it’s 320cm^2

Step-by-step explanation:

Answer:

[tex]x = a - 1[/tex]

Step-by-step explanation:

from what you told me you put it in a formula

so I says it in a algebraic format

For a point with a slope 3/4 and which passes through the points  (-2, 6) and (-8, k), the value of k is 1.5

The line passes through the points (-2, 6) and (-8, k)

That is, [tex]x_1=-2, y_1=6, x_2=-8, y_2=k[/tex]

The slope of the line, m = 3/4

The formula for calculating the slope of a line is given as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute   [tex]x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4}[/tex] into the formula above

[tex]\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5[/tex]

Therefore, the value of k is 1.5

Learn more here: https://brainly.com/question/25613656

Answer:

2.2+3(3.4)

=2.2+10.2

=12.4

Step-by-step explanation:

A diagram is shown below.

====================================================

Explanation:

First we make a copy of AB. Then we tack on a copy of CD onto AB. Check out the diagram below to see what I mean. The segments AB and CD glue together to form the larger segment AD. We can say AB+CD = AD. Dividing that larger segment in half will locate the midpoint and it will help us average the lengths of AB and CD. It's the visual or geometric meaning of what "average" means.

To find the midpoint of any segment, we involve the process of finding the perpendicular bisector. Recall that "bisect" means to "cut in half". The perpendicular bisector of XM is point Y, and XY is exactly half that of segment AD.

------------

Check out the diagram below.

Figure 1 is the two segments separated, and figure 2 has us glue them together to form segment AD. Segment AD is renamed to XZ. Finding the perpendicular bisector of XZ leads to point Y at the midpoint and [tex]\text{XY} = \frac{\text{AB+CD}}{2}[/tex], which is shown in figure 3.

Step-by-step explanation:

error is in ∆ABC =~ ∆RST

because it is,

∆ABC =~ ∆RTS or ∆STR

because,

AB = RT

BC = TS

CA = SR

hope this answer helps you dear! take care.

The error is in labelling the triangles.

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees.

Given are two ABC and RST

Since, Δ ABC ≅ Δ RST

That gives,

AB = RS

BC = TS

CA = RT

In figure,

AC has been equated to RS, which is wrong or incorrect because the corresponding side of AC is RT

The correct labelling will be

AB = RS = 5

BC = TS = 5

CA = RT = 5.5

Hence, The error is in labelling the triangles.

For more references on triangles, click;

https://brainly.com/question/2773823

#SPJ2

Answer:

Well the value of (X) is 0

Step-by-step explanation:

Well the value of (X) is always 0

Answer:

4 better inbox

Step-by-step explanation:

Answer:

w = ± [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

w² = [tex]\frac{4}{9}[/tex] ( take square root of both sides )

w = ± [tex]\sqrt{\frac{4}{9} }[/tex] = ± [tex]\frac{\sqrt{4} }{\sqrt{9} }[/tex] = ± [tex]\frac{2}{3}[/tex]

Then

w = - [tex]\frac{2}{3}[/tex] or w = [tex]\frac{2}{3}[/tex]

Answer:

78.5

Step-by-step explanation:

[tex]r^{2}[/tex]x3.14 (pie)

so then substitute.

5x5=25

25x3.14=78.5

Answer:

x = 9

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

[tex]x+3=12[/tex]

[tex]x+3-3=12-3[/tex] ( Subtract 3 from both sides)

[tex]x=9[/tex]

Answer:

4/8, 1/2

Step-by-step explanation:

7/8 - 3/8 = 4/8

4/8 >>> divide both by 4

4 divided by 4 = 1

8 divided by 4= 2

1/2 Inches

Answer:

-1

Step-by-step explanation:

m = y2 - y1 / x2 - x1

= 1 - 4 / 8 - 5

= -3 / 3

= -1

Answer:

See answer below

Step-by-step explanation:

2b(2ab)² - a(2b²)² = XaY³(z - b)

[tex]2b(2ab)(2ab) - a(2b^2)(2b^2) = XaY^3(z-b)[/tex]

[tex]8a^2b^3 - 4ab^4 = XaY^3(z - b)[/tex]

[tex]4ab^3(2a-b) = XaY^3(z - b)[/tex]

X = 4

y = b

z = 2a

==============================================================

Explanation:

Select any two points from the diagonal line. I'll pick (0,-10) and (2,-4).

Use these points in the slope formula

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

m = (-4 - (-10))/(2 - 0)

m = (-4 + 10)/(2 - 0)

m = 6/2

m = 3

The slope is 3.

The y intercept is b = -10 since this is the location where the diagonal line crosses the vertical y axis.

The values m = 3 and b = -10 have us go from y = mx+b to y = 3x-10

Answer:

Answer is A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I only help you because you have nezuko as profile picture

Answer:

18.9

Step-by-step explanation:

answer is 10,029 ft/h if I'm not wrong

Answer:

Step-by-step explanation:

Percentile Formula  

P = (n/N) × 100

Where,  

n = ordinal rank of the given value or value below the number

N = number of values in the data set  

P = percentile  

Or  

Percentile = (Number of Values Below “x” / Total Number of Values) × 100

Answer:[tex]\frac{x}{x+....}[/tex]×100

Step-by-step explanation:

Use the bar diagram section

Answer:

Theradius is 16 + 9 = 5. The equation of thecircle is2 2( x− 4) + ( y− 3) = 25. 53.54.x2 + y2 – 4 x ...

A linear model for the situation below passes through the origin. A manufacturer can produce 4,200 gears in 8 hours. How many gears can be made in 1 hour? values of the following algebraic expressions : L 3c2; 72/3; 5a&; ... 2x^-x^-3x-^ by 2 x'^ - 3 x~^ - x-^ ; a" - 1 + ft- " by a^ + ft~i ...

Step-by-step explanation:

A less character after a greater in10 = X. creases its value, as XI X+I, ... the root of each and set one above the other; as, % is the square root of 3X.180 / 90 / 15 lm | 12 VDC | 3 W module | 16 Wh battery | white | ... 48 VDC | PV 23,6 kW | 4 x VE SmartSolar MPPT 25 / 100-TR | 3x VE .