Which are steps in the process of completing the square used to solve the equation 3 – 4x = 5x2 – 14x? Check all that apply 3 = 5(x2 + 2x) 3 = 5x2 – 10x 4 = 5(x2 – 2x + 1) 8 = 5(x2 – 2x + 1) 3 = 5(x – 1)2 4 = 5(x – 1)2 StartFraction 8 Over 5 EndFraction = (x – 1)2

Answer:

B. 8

Step-by-step explanation:

This is because a 6-8-10 right triangle (a variation of a 3-4-5 right triangle) is a Pythagorean Triple.

To show that the answer 8 works:

a^2+b^2 = c^2

6^2+b^2 = 10^2

36+b^2 = 100

b^2 = 64

b = sqrt64 = 8

Answer:

x=8

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

6^2 + x^2 = 10 ^2

36+ x^2 = 100

Subtract 36 from each side

x^2 = 64

Take the square root of each side

x = 8

Answer:

-10 degree celsius

Explaination:

(-2) - 8

= -2 + -8

= -10 degree celsius

Hope this helps and pls mark as brianliest :)

Answer:

A

Step-by-step explanation:

A percentage is the number over 100.

So to find, do 0.03 times 100 which equals 3

Answer:

We will fill 6 containers with 3/7 of another full

Step-by-step explanation:

Take the number of cups of flour and divide by the amount each container will hold

15 ÷ 2 1/3

Change to an improper fraction

15 ÷ ( 3*2+1)/3

15÷ 7/3

Copy dot flip

15 * 3/7

45/7

Change to a mixed number

6*7 = 42 with 3 left over

6 3/7

We will fill 6 containers with 3/7 of another full

Answer:

6 full and 3/7 of container

Step-by-step explanation:

15 cups divided by 2 1/3

(15) /2 1/3 =45/7=6.429  you need 7 containers

6 containers full and 3/7 of container

Answer:

Angle 1: 55

Angle 2: 110

Angle 3: 15

Step-by-step explanation:

Angle 1: x

Angle 2: 2x

Angle 3: x-40

The total degrees for all the angles in a triangle add up to 180, so we now have the equation x+2x+x-40=180. From here we solve to get 55 degrees for x, so angle 1 is 40 degrees, angle 2 is 110 (2 times 40) and the third angle is 15 (55-40).  

Answer:

Step-by-step explanation:

Area of triangle = 1/2 × b × h

= 1/2 × 24 × 16

= 192 cm^2

Hope this helps

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Answer:

192 cm²

Step-by-step explanation:

Area of a triangle is equal to base × height × 1/2.

24 × 16 × 1/2

384 × 1/2

= 192

The result is number [tex]r[/tex] where:

[tex]r=(120+120\cdot\frac{d}{100})+(120+120\cdot\frac{d}{100})\cdot\frac{25}{100}[/tex]

Hope this helps.

Answer:

x/25

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

only a scalence triangle has all sides with different length

Answer:

In the photo

Step-by-step explanation:

Simply multiply the numbers out of the brackets to the numbers in them, adhering to algebraic rules.

Answer:

the one above me is right expet for 2 of them purple and orange

Step-by-step explanation:

it was right on edge

Answer:

x+y=5a

5a is added to b which is the sum of x and y multiplied by 3. That is, b=x+y×3=5a×3=15a

Since, 5a is added to b= 5a+15a=20a,

Answer:

½bh units if height is known or

A = √S(s-a)+(s-b)+(s-c)units if height is not given. This is most definitely the right answer

Step-by-step explanation:

Hello,

In the question above, we don't have a dimension but we can solve this directly using it's formula and defining the angle

The triangle above is an isosceles triangle.

Isoscele triangles are triangles that have two of its side equal.

The area of a triangle is given as ½ × breadth × height.

The height can easily be calculated using one of it's slant height and it's breadth. This is done using pythagoras theorem. Which is given by

x² = y² + z²

In this case, the area of this triangle is ½b×h.

However, there are cases where by three sides are given known as a, b and c. We can easily use Heron's formula to find the area

A = √S(s-a)+(s-b)+(s-c)

Where s = (a + b + c) / 2

S = perimeter

Answer:The answer 60.7371385562.

Step-by-step explanation:

The square root of 3,689 is approximately 60.74.

[tex]\sqrt{3689} = 60.74[/tex] (approx)

Answer:

Domain:  

(

−

∞

,

∞

)

,

{

x

|

x

∈

R

}

(-∞,∞),{x|x∈ℝ}

Range:  

[

−

4

,

∞

)

,

{

y

|

y

≥

−

4

}

[-4,∞),{y|y≥-4}

Step-by-step explanation:

Answer: 125

Step-by-step explanation:

4/25 = 20/Y

Cross multiply to get the equation

4Y = 500

Divide both sides by 4

Y=125

y=5 when x=20.

Given that, y is inversely proportional to x. When y = 25 , x = 4.

We need to find the y value when x=20.

Inversely proportional variables or quantities are those in which if one variable increases the other will decrease, and if one variable decreases the other increases.

Now, y∝1/x

⇒y=k/x

⇒25=k/4

⇒k=100

Thus, the y value when x=20.

y=100/20=5

Therefore, y=5 when x=20.

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the 10 th term for the sequence 1,3,5,7..... is 19

Step-by-step explanation:

n = 1; 1st = 2*1–1=1;

n= 2; 2nd =2*2–1=3;

n =3; 3rd =2*3–1=5;

n=4; 4th =2*4–1=7;

n=5; 5th =2*5–1=9;

n=6; 6th =2*6–1=11;

n=7; 7th = 2*7-1= 13

n= 8; 8th = 2*8-1 =15

n = 9; 9th = 2*9-1 = 17

n= 10; 10th = 2*10-1 =19

Answer:

r = 5  

I just turned it in it was correct

Step-by-step explanation:

please mark brainliest

Answer:

7 = 2 + r

Step-by-step explanation:

So since we know the hanger is balanced, we can determine that r = the amt. of the other side - 2. =>

We can count the amt. of "1" on the side of the hanger with only 1 --> to get 7 "1" which is 7(1) = 7.

The other side with "r" has 2 "1" thus --> 2(1) = 2

So, 7 = 2 + r is our equation and if we were to solve for r, => r = 5

Hope this helps!

Answer:

A. 17.5

Step-by-step explanation:

4x+8 27

L-------------M-------------------------N

<------------------ 6x -------------------->

LM = 4x+8

MN = 27

LN = 6x

LM + MN = LN

4x+8 + 27 = 6x

35 = 2x

17.5 = x

Answer:

0,.96 : 0.04 =24

Step-by-step explanation:

96 : 4 = 24 because 24 * 4 is 96

9.6 : 0.4 = 24 because 24 * 0.4 = 9.6

0.96 : 0.04 = 24 because 24 * 0.04 = 0.96

or

0.96 / 0.04 = 9.6 / 0.4 = 96 / 4 = 24

Answer:

D.It is a trinomial with a degree of 3.

Step-by-step explanation:

3 terms one to the power of 3

Answer:

Approximate answer: [tex]66.36 \ cm^2[/tex]

Step-by-step explanation:

[tex]DM = 5.66\cdot \cot(65^\circ)[/tex]

Denote the projection of point [tex]B[/tex] onto side [tex]DC[/tex] as [tex]M'[/tex].

[tex]M'C = 5.66\cot(62^\circ)[/tex]

[tex]MM' = AB = 8.9[/tex]

[tex]DC = DM + MM' + M'C[/tex].

Next we should put everything together in area formula for trapizium:

[tex]S = AM\cdot\frac{AB + DC}{2}[/tex]

Answer:

( 5 x + 3 ) ( 3 x − 4 )

A

Step-by-step explanation:

the answer is A. (5x+3) (3x-4)

I'm assuming you meant to say

P(A) = 2/3

P(A and B) = 1/3

If that is the case, then A and B are independent if and only if the following equation is true

P(A and B) = P(A)*P(B)

So we multiply P(A) and P(B) to get the value of P(A and B). We don't know what P(B) is, but we can use algebra to find it

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

P(A and B) = P(A)*P(B)

P(A)*P(B) = P(A and B)

(2/3)*P(B) = 1/3

P(B) = (1/3)*(3/2) .... multiply both sides by the reciprocal of 2/3

P(B) = (1*3)/(3*2)

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

If P(B) = 1/2, then

P(A and B) = P(A)*P(B)

P(A and B) = (2/3)*(1/2)

P(A and B) = (2*1)/(3*2)

P(A and B) = 1/3

Which is the given probability for both events happening. This confirms we have the correct P(B) value.

Answer:

g = 23/16

Step-by-step explanation:

3/16 = (-5/4) + g

Add 5/4 on both sides.

3/16 + 5/4 = g

Make denominators equal and add.

3/16 + 20/16 = g

23/16 = g

Answer: C

Step-by-step explanation:

Answer:

The third one. Y= -1/2x^2 -2x -1

Step-by-step explanation:

Answer:

x = 40

Step-by-step explanation:

Step 1: Write out an equation

4/5(x) = 32

Step 2: Solve by dividing both sides by 4/5

x = 32/(4/5)

Use KCF (Keep Change Flip) if you do not have a calc.

x = 40

Answer:

The answer is 40

Step-by-step explanation:

32 times 5 is 160

then: 160 divided by 4 is 40.

check the answer: 4/5 of 40 is 32

because 40 divided by 5 is 8 and then times 8 by 4, so the answer would be 40.

Answer:

7 weeks

:>>>>>>>>>>>>>>>>>>>>>

Answer:

x = 5

∠L = 114°

∠ LMK  = 31°

Step-by-step explanation:

In parallelogram, opposite sides are parallel and equal.

3x = 15

Divide both sides by 3

3x/3 = 15/3

x = 5

In parallelogram, opposite angles are equal

∠L = ∠J

∠L = 114°

In ΔJKM,

∠J + ∠JKM +  ∠JMK = 180 {Angle sum property of triangle}

114 + ∠JKM  + 35 = 180

149 + ∠JKM  =180

∠JKM  = 180 - 149

∠JKM  = 31°

JK & ML are parallel and  KM is transversal

Therefore, ∠ LMK  = ∠JKM    { oppoiste interior angles are congruent}

                  ∠ LMK  = 31°

Answer:

x = 5

∠L = 114°

∠ LMK  = 31°

Answer:

[tex]A2+By=C[/tex]

Step-by-step explanation:

Well standard form is [tex]Ax+By=C[/tex].

And we have x = 2 meaning that x is 2 so the standard is [tex]A2+By=C[/tex].

So basically if we know that x is 2 and x is in the standard for equation we can just plug it in.

So [tex]Ax+By=C[/tex]

x -> 2

So answer is [tex]A2+By=C[/tex]

2A+By=C is the standard form of X=2

Two or more expressions with an Equal sign is called as Equation.

The standard form of a linear equation is Ax+By=C.

A times of x plus B times of y equal to C

A, B, and C are constants,

x and y are variables.

Standard form lets us quickly find the x- and y- intercepts.

By given x value is 2.

Now plug in the value of x in standard form of equation.

2 times of A plus B times of y equal to C

2A+By=C

Hence 2A+By=C is the standard form of X=2

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Answer:

Rate of power generation when the sky is cloudy= 5 watts per hour.

Rate of power generation when the sky is clear = 32 watts per hour.

Step-by-step explanation:

A large solar panel can generate power at a maximum rate of 400 kilowatts per day.

Let the number of hours when the sky is cloudy =C

Let the number of hours when the sky is clear = L

Given the inequality:

[tex]5C+32L \leq 400[/tex]

The rate at which the solar panel generates power when the sky is cloudy is 5 watts per hour.

The rate at which the solar panel generates power when the sky is clear is 32 watts per hour.

Answer:

Box one: 5

Box two: 32

Part 2 is: No

Step-by-step explanation: