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3 years ago

Use properties of equality to solve these equations. Identify the properties used and describe how you used them.

1 answer:

5 0

Step 1 Distributive step 2 Multiplication property of equality step 3 Multiplication property of equality.step 4 Division property of Equality The answer would be 125=x

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A rectangle has sides measuring (6x + 4) units and (2x + 11) units. Part A: What is the expression that represents the area of t

valentinak56 [21]

Answer:

Step-by-step explanation:

Part A:

A=lw

A=(6x + 4)*(2x + 11)

multiply it out:

A=6x*2x+6x*11+4*2x+4*11

A=12x^(2)+66x+8x+44

add like terms

A=12x^(2)+66x+8x+44

A=12x^(2)+(66+8)x+44

A=12x^(2)+74x+44

the expression used to find area is 12x^(2)+74x+44

Part B:

this is:

a second degree trinomial

since its leading coefficient (highest degree value of the expression) is 2

and

since it has three monomials (terms that are separated by + or - signs):

12x^(2)+74x+44

Part C:

(not sure about this one)

all area is positive or 0 (no area), so lets find the values of x that are true:

lets find the zeros

(6x + 4)*(2x + 11)=0

6x+4=0

6x=-4

x=-4/6

x=-2/3

2x+11=0

2x=-11

x=-11/2

6*(-11/2)+4

3*(-11)+4

-33+4

-29

2*(-2/3)+11

-4/3+33/3

29/3

6*(-2/3) + 4

2*(-2)+4

-4+4

x is greater than (-2/3)

Thus, any real number greater than -2/3 makes

(6x + 4)*(2x + 11) equals the expression:

12x^(2)+74x+44, where x is a real number greater than -2/3

if lets say x= 1, a counting number then:

(6*1 + 4)*(2*1 + 11)=12*1^(2)+74*1+44

(6+4)*(2+11)=12*1+74+44

10*13=12+118

130=130

130 and 1 are both counting numbers, proving the closure property of polynomials

7 0

2 years ago

Read 2 more answers

Lynn multiplies 7/8 Times a number the product is less than 7/8 which could be Lynn's number

Brums [2.3K]

Answer: 6/8 <;3..?

Step-by-step explanation:

7 0

2 years ago

Find the value of x and each angle if m angle SOP= (7y-2) and m angle SOR = (5y+14)

Semmy [17]

Answer:

x = 14

m∠SOP = (7x - 2)° = 96°

m∠SOR = (5x + 14) = 84°

Step-by-step explanation:

`From the given picture,

Angle SOP and angle SOR are the linear pairs.

Therefore, sum of these angles will be equal to to 180°.

m∠SOP + m∠SOR = 180° -----(1)

Since, m∠SOP = (7x - 2)° and m∠SOR = (5x + 14)°

[There is a misprint in this question. There should be x in place of y in the measures of the angles]

By substituting these values in the equation (1),

(7x - 2) + (5x + 14) = 180

12x + 12 = 180

12x = 180 - 12

12x = 168

x = $\frac{168}{12}$

x = 14

m∠SOP = (7x - 2)° = 96°

m∠SOR = (5x + 14) = 84°

5 0

2 years ago

What is the radius of a sphere with a surface area of 100 pi cm2

Ksenya-84 [330]

The surface area of a sphere is 4r^2pi, so dividing 100 by 4pi gives a result of 25/pi. Taking the square root and rationalizing the denominator, we have 5sqrt(pi)/pi as the radius of the sphere.

6 0

2 years ago

Read 2 more answers

Drag the point on the coordinate plane to the solution of the system of equations shown below: y=-2x-1 y = x + 2

Sveta_85 [38]

Answer:

(1,-1)

Step-by-step explanation:

-2x-1 = x+2

-3x = 3

x = -1

substitute

y = (-1) + 2

y = 1

point: (1,-1)

3 0

2 years ago