Can some one help me on this the last answer since you can’t see it is CB=AC
FE DE

Answer:

b = 6

Step-by-step explanation:

Let's solve for b.

(3x−1)2=9x2−bx+1

Step 1: Flip the equation.

−bx+9x2+1=9x2−6x+1

Step 2: Add -9x^2 to both sides.

−bx+9x2+1+−9x2=9x2−6x+1+−9x2

−bx+1=−6x+1

Step 3: Add -1 to both sides.

−bx+1+−1=−6x+1+−1

−bx=−6x

Step 4: Divide both sides by -x.

b = 6

Hope this helpss!!!

Answer:

[tex]V=108\ \text{inches}^3[/tex]

Step-by-step explanation:

Given that,

The height of a rectangular pyramid is 4 inches

The base of the pyramid measures 9 inches by 9 inches.

We need to find the volume of the rectangular pyramid. The formula for the volume of the rectangular pyramid is given by :

[tex]V=\dfrac{lbh}{3}[/tex]

Substitute all the values,

[tex]V=\dfrac{4\times 9\times 9}{3}\\\\V=108\ \text{inches}^3[/tex]

So, the volume of the rectangular pyramid is [tex]108\ \text{inches}^3[/tex].

Answer:

Step-by-step explanation:

raduis and diameter.

Answer: y = x - 5 ( just add a negative at the end )

Step-by-step explanation:

( 5,0) ( 0,-5)

0 - -5

5 - 0

5/5 = 1

y = x + b

0 = 5 + b

-5    -5

-5 = b

y = X - 5

Answer:

Sooooooo simple, jus figure it out :)

25% off $45 is $33.75

Answer:

Step-by-step explanation:

a decimal

2/3 = 0.7

8/5 = 1.6

-5/2 = -2.5

7/4 = 1.8

9/2 =  4.5

-11/3 = -3.7

13/5 = 2.6

-7/4 = -1.8

Esto es solo un bosquejo del número, usando un gráfico, use 0.1 para una unidad en la recta numérica.

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-5  -4 -3.7  -3 -2.5  -2  -1.8   -1    0  0.7  1   1.6  1.8  2   2.6   3   4   4.5   5

Answer:

32 - 2.5x - 2y

Step-by-step explanation:

He bought 2.5 pounds weight of apples for x dollars a pound. Thus, cost is 2.5x.

He bought 2 bags of lettuce for y dollars each. Thus, cost is 2y

Total bill cost = 2.5x + 2y

We are told he has a coupon for $2 off his bill.

This means the amount he will pay will now be;

2.5x + 2y - 2

Gabriel has $30 to pay for the groceries.

Thus, his change will be;

30 - (2.5x + 2y - 2)

This gives;

32 - 2.5x - 2y

Answer:

D

Step-by-step explanation:

Answer:

729

Step-by-step explanation:

Answer:

78°

Step-by-step explanation:

angle CAW=180-168

angle CAW=12

angle DWB=12 vertically opposite to angle CAW

Sum of angles at a point=360

168+12+12+90+w=360

282+w=360

Collect like terms

w=360-282

w=78

Answer: x = 16/17; y = 1/17

condition: x,y > 0

we have:

[tex]\left \{ {{\sqrt{\frac{x}{y} } =4} \atop {\frac{1}{x}+\frac{1}{y}=\frac{1}{xy} }} \right. \\\\<=>\left \{ {{\frac{x}{y} =16} \atop {\frac{1}{x}+\frac{1}{y} =\frac{1}{xy} }} \right.[/tex]

because x > 0, multiply x by the second equation, we have:

[tex]\left \{ {{\frac{x}{y} =16} \atop {x(\frac{1}{y}+\frac{1}{x}) =\frac{x}{xy} }} \right. \\\\<=>\left \{ {{\frac{x}{y} =16} \atop {\frac{x}{y} +1=\frac{1}{y} }} \right.\\\\<=>\left \{ {{\frac{x}{y} +1=17} \atop {\frac{x}{y} +1=\frac{1}{y} }} \right.\\\\=>\left \{ {{17-\frac{1}{y} =0} \atop {\frac{x}{y} =16}} \right.\\\\<=>\left \{ {{\frac{1}{y} =17} \atop {x=16y}} \right.\\\\<=>\left \{ {{y=\frac{1}{17} } \atop {x=\frac{16}{17} }} \right.[/tex]

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

Given that:

Probability of :

Red _____Green ___ Brown _____ Yellow

0.2 ______ 0.3 ______ X ________ 0.1

Since the bag contains only red, green, brown and yellow marbles ;

The sum of each color's probability should sum up to 1;

ΣP(x) = 1

Hence,

0.2 + 0.3 + x + 0.1 = 1

0.6 + x = 1

x = 1 - 0.6

x = 0.4

P(brown) = 0.4

Answer:

a

Step-by-step explanation:

mx+c

c is y intersect in this case -2

m is gradient, in this case its positive, therefore a

Answer:

C

Step-by-step explanation:

Calculator

Given:

The function is

[tex]f(x)=-x^2-5x+12[/tex]

To find:

The average rate of change of the function over the interval −5 ≤ x ≤ 4.

Solution:

The average rate of change of a function f(x) over the interval [a,b] is

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

Putting x=-5 in the given function, we get

[tex]f(-5)=-(-5)^2-5(-5)+12[/tex]

[tex]f(-5)=-25+25+12[/tex]

[tex]f(-5)=12[/tex]

Putting x=4 in the given function, we get

[tex]f(4)=-(4)^2-5(4)+12[/tex]

[tex]f(4)=-16-20+12[/tex]

[tex]f(4)=-24[/tex]

Now, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is

[tex]m=\dfrac{f(4)-f(-5)}{4-(-5)}[/tex]

[tex]m=\dfrac{-24-12}{4+5}[/tex]

[tex]m=\dfrac{-36}{9}[/tex]

[tex]m=-4[/tex]

Therefore, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is -4.

Answer:

x= 11

Step-by-step explanation:

Answer:

254.34 in²

Step-by-step explanation:

The diameter is 18, so the radius is 9. The formula for circumference is [tex]\pi r^{2}[/tex]. 9 squared is 81. 81 x 3.14 is 254.34.

Hope it helps!

Answer:

$0.24 per meter

Step-by-step explanation:

Alright so to find the unit rate divide 1.65 by 7

1.65/7=0.2357142857142857...

So round it to the nearest cent

0.24

Answer: = − 2

Step-by-step explanation:

Answer:

whats up? whatja need help with

Step-by-step explanation:

Answer:

2/3 begins w a 2 and 1/3 begins w a 1. thats the difference.. hope this helped :)

Step-by-step explanation:

Answer:

.3333333

Step-by-step explanation:

because u have to math ight

Answer:

Step-by-step explanation:

Given system

Solve by elimination, subtract the equations and solve for y:

Find x by substituting y:

The answer is: (2, -1)

Answer:

80%

Step-by-step explanation:

How much is 32 out of 40 written as a percent value? Convert fraction (ratio) 32 / 40 Answer: 80%

Answer:

It will take her approximately 28 seconds to cross the diagonal of the pitch

Step-by-step explanation:

If we can find the length of the diameter of the field (in Metres), we can easily find the time it takes her to cross this length using motion equations.

Step one: Find the length of the field from its area.

The field is rectangular in shape. The area of the field is 48m^2. To get the area of the field, we had to multiply its length and its breadth.

i.e area = length X breadth.

Let us assume that the breadth = 6m

its length will be area / breadth = 42/ 6 = 7m

The length of the pitch = 7 m

Step Two: Find the length of the diagonal using Pythagoras' theorem.

From Pythagoras'theorem, the length of the diagonal  can be obtained by

[tex]diagonal = \sqrt{l^2 +b^2}[/tex]

[tex]diagonal = \sqrt{6^2+ 7^2} = 9.22m[/tex]

The length of the diagonal is 9.22m

Step three: Find the time using her speed and the distance she needs to cover.

Time = distance / speed

time = 9.22 /20 = 0.46 minutes

It will take her approximately 28 seconds to cross the diagonal of the pitch