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adelina 88 [10]

3 years ago

10

Linda and Roy are solving the equation 4x+3x-7=(1+4x)+5x. Linda uses a first step that results in 4x+7-3x=(1+4x)+5x Roy uses a f

irst step that results in 4x+3x-7=1+(4x+5x) which statement about the first steps Linda and Roy use is true

1 answer:

White raven [17]3 years ago

4 0

Answer:

Option C

Step-by-step explanation:

Linda used the first step that results in,

4x + 7 - 3x = (1 + 4x) + 5x

As Linda changed the sign of (3x) to (-3x), it doesn't matches the original equation.

So she is not correct.

Roy used the first step as,

4x + 3x - 7 = 1 + (4x + 5x)

He has used the associative property in the right hand side of the given equation.

Associative property → (a + b) + c → a + (b + c)

Therefore, he is correct.

Option C is the correct option.

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Simplify using the vertical method. (3k + 4)(3k^2 – 5k – 3)

liubo4ka [24]

Answer:

$9k^{3} -3k^{2}-29k-12$

Step-by-step explanation:

Step 1: Expand by distributing sum groups.

$3k(3k^{2} -5k-3)+4(3k^{2} -5k-3)$

Step 2: Expand by distributing terms.

$9k^{3} -15k^{2} -9k+4(3k^{2} -5k-3)$

Step 3: Expand by distributing terms.

$9k^{3}-15k^{2} -9k+12k^{2} -20k-12$

Step 4: Collect like terms.

$9k^{3}+(-15k^{2} +12k^{2} )+(-9k-20k)-12$

Step 5: Simplify.

$9k^{3} -3k^{2}-29k-12$

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3 years ago

What value of x is in the solution set of 3(х – 4) > 5х + 2?<br> 0—10<br> ОООО

MakcuM [25]

X < -7 hope this helps

4 0

3 years ago

Part B if the height of each prism is 10 Cm what is the surface area prism

Evgen [1.6K]

Answer:

Prism A:

$Area = 288cm^2$

Prism B:

$Area =250cm^2$

Step-by-step explanation:

Given

See attachment for prisms

$Height(h) = 10cm$

Required

Determine the surface area of both prisms

Prism A is triangular and as such, the surface area is:

$Area = 2 * A_b + (a + b + c) * h$

Where

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

and

$s = \frac{a + b + c}{2}$

Such that a, b and c are the lengths of the triangular sides of the prism.

From the attachment;

$a = 8; b =6; c =10$

So, we have:

$s = \frac{a + b + c}{2}$

$s = \frac{8 + 6 + 10}{2}$

$s = \frac{24}{2}$

$s = 12$

Also:

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

$A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}$

$A_b = \sqrt{576}$

$A_b = 24$

So:

$Area = 2 * A_b + (a + b + c) * h$

$Area = 2 * 24 + (8 + 6 + 10) * 10$

$Area = 288cm^2$

Prism B is a rectangular prism. So, the area is calculated as:

$Area = 2 * (ab + bh + ah)$

From the attachment

$a = b = 5$

$h =10$

So:

$Area =2 * (5 * 5 + 5 * 10 + 5 * 10)$

$Area =250cm^2$

7 0

2 years ago

The price of an item has been reduced by 95%. The original price was $93.

mixas84 [53]

Answer:

4.65

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the slope of the line that passes through the points (9, -1) and (4, -11)?

mixas84 [53]

Answer:

2

Step-by-step explanation:

We have two points so we can find the slope

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

= ( -11 - -1)/( 4 -9)

= (-11+1)/( 4-9)

-10/ -5

= 2

4 0

2 years ago