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3 years ago

2(5x - 3) - 4 = x + 4 solve for x and show work

2 answers:

6 0

1. distribute --> 10x-6-4=x+4
2. do -6-4 --> 10x-10=x+4
3. add 10 on both sides --> 10x=x+4+10
4. subtract x on both sides and simplify equation --> 9x=14
5. divide both sides by 9 --> x=14/9

Katen [24]3 years ago

4 0

Answer:

x= 14/9 = 1 5/9

Step-by-step explanation:

Use the distributive property to multiply 2 by 5x−3.

2(5x−3)−4=x+4

Subtract 4 from −6 to get −10.

10x−6−4=x+4

Subtract x from both sides

10x−10=x+4

Combine 10x and −x to get 9x.

10x−10−x=4

Add 10 to both sides.

9x−10=4

Divide both sides by 9.

x= 14/9

Please mark brainliest.

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Answer:

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John wants to measure the width of a stream using the methods he has learned in geometry. He puts a stake in the ground opposite

otez555 [7]

John's method to determine the width of the stream uses the knowledge

that the tangent of 60° is approximately 1.7.

The proper sequence John would use to find the width of the stream are;

Step 1; John drives a stake opposite the tree to establish a line between two points

Step 2; John uses a compass to walk away from the stakes at a right angle

Step 3; On the path John walks until he finds a line of sight to the tree that equals 60 degrees

Step 4; John drives a second stake in the ground

Step 5; John measures the the distance between the two stakes

Step 6; John multiplies the distance between the two stakes by 1.7 to find the distance.

Reasons:

The steps that can be used to measure the width of the stream are;

Step 1: Drive a stake opposite the tree on the other side of the stream.

Step 2: With the aid of a compass, walk at right angles to the line formed by the stake and the tree.

Step 3; Keep walking along the previous path till a point is reached where the angle formed between the line of site to the tree and the walk path is 60°.

Step 4; At the point where the line of sight to the tree is 60°, a second stake is driven in the ground.

Step 5; Measure the distance between the stakes that are placed in the ground.

Step 6; Given that by trigonometry, the ratio of the width of the stream to the distance between the two stakes is tan(60°) ≈ 1.7, multiply the distance between the two stakes by 1.7 to find the width of the stream.

$\displaystyle tan(60^{\circ}) = \mathbf{\frac{Width \ of \ stream}{Distance \ between \ stakes}}$

The possible question options are;

John measures the the distance between the two stakes

John uses a compass to walk away from the stakes at a right angle

John multiplies the distance between the two stakes by 1.7 to find the distance

John drives a second stake in the ground

On the path John walks until he finds a line of sight to the tree that equals 60 degrees

John drives a stake opposite the tree to establish a line between two points.

Learn more about trigonometric ratios here:

brainly.com/question/13276558

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