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3 years ago

Distribute property to simplify 4(3x+2)

Mathematics

1 answer:

Julli [10]3 years ago

8 0

Here is the equation:

$4(3x+2)$

Since 4 is next to the parentheses, you have to multiply everything in the parentheses by 4.

First multiply 3x by 4:

$3x \times 4 = 12x$

Now multiply 2 by 4:

$4 \times 2 = 8$

Now add them together:

$12x+8 = 12x +8$

Your answer is 12x + 8

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Write the equation of a line that passes a given point and has the given slope. Answer in standard form. 1. Point (-3,5), m = -7

Likurg_2 [28]

Answer:

y -5 = -7(x +3)
y = 7

Step-by-step explanation:

The point-slope form of the equation can be used for this. It is generally written as ...

y -k = m(x -h) . . . . . line with slope m through point (h, k)

1. For m=-7, (h, k) = (-3, 5), the equation is ...

y -5 = -7(x +3)

2. For m=0, (h, k) = (4, 7), the equation is ...

y -7 = 0(x -4)

y = 7

_____

Comment on the form of the answer

Since a point and slope are given, "the equation" is appropriately written in point-slope form. For the second problem the simplified version would be ...

y -7 = 0

Sometimes, "the equation" means the answer is expected in slope-intercept form. In that case, a little rearranging is necessary for the first answer. It becomes ...

y = -7x -16

There are perhaps a dozen different forms that a linear equation can be written in. Considering those, "the equation" is somewhat ambiguous. Your curriculum materials may offer a clue as to the form intended.

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3 years ago

Dwayne needs 1 2/3cups of shredded cheese to put in

Y_Kistochka [10]

Answer:

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Step-by-step explanation:

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3 years ago

Draw clearly the graph of the linear equation. y=1/2x, where x= (-4 -2, 0, 2, 4)

aniked [119]

Answer:

(in attachment)

Step-by-step explanation:

you can find the points by inputting the x-values into the equation to solve for the y-values, then connecting the plotted points to create the line.

When x=-4

y=1/2(-4)

y=-2

(-4,-2)

Repeat for all values.

6 0

3 years ago

Hello how are you today. Question 2(×+-5)+×=×+(-6)

andre [41]

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

2(x + -5) + x = x + (-6)

Step 2: Solve for x

[Distributive Property] Distribute 2: 2x - 10 + x = x - 6
[Addition] Combine like terms (x): 3x - 10 = x - 6
[Subtraction Property of Equality] Subtract x on both sides: 2x - 10 = -6
[Addition Property of Equality] Add 10 on both sides: 2x = 4
[Division Property of Equality] Divide 2 on both sides: x = 2

6 0

3 years ago

Read 2 more answers

Triangle ABC is a non-right triangle with Angle C = 117, a = 12, and b = 18. Find Angle B to the nearest tenth.

qwelly [4]

Using the law of cosines and sines, the measure of angle B is: 38.4°.

<h3>What is the Law of Cosines and Sines?</h3>

Law of cosines is: c = √[a² + b² ﹣ 2ab(cos C)]

Law of sines is: sin A/a = sin B/b = sin C/c

Use the law of cosines to find c:

c = √[12² + 18² ﹣ 2(12)(18)(cos 117)]

c ≈ 25.8

Use the law of sines to find angle B:

sin B/b = sin C/c

sin B/18 = sin 117/25.8

sin B = (sin 117 × 18)/25.8

sin B = 0.6216

B = sin^(-1)(0.6216)

B = 38.4°

Learn more about the law of cosines on:

brainly.com/question/23720007

#SPJ1

5 0

2 years ago