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2 years ago

the lines whose equations are 7x-3y=1 and 6x+y=8 intersect at one point. What is the x-coordnate at that point

Mathematics

1 answer:

elena55 [62]2 years ago

5 0

Answer:

x = 1

Step-by-step explanation:

Using the second equation to substitute for y in the first equation will eliminate the y-variable and give you an equation for the x-coordinate.

y = 8 -6x . . . . second equation solved for y

7x -3(8 -6x) = 1 . . . . substituted into the first equation

7x -24 +18x = 1 . . . . eliminate parentheses

25x = 25 . . . . . . . . add 24

x = 1 . . . . . . . . . . . . divide by the coefficient of x

The x-coordinate of the point of intersection is 1.

<em>Additional comment</em>

The y-coordinate can be found using our equation for y:

y = 8 -6(1)

y = 2

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hichkok12 [17]

Answer:

0.6 m

Step-by-step explanation:

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2 years ago

1. Isosceles Triangle The two equal sides of an isosceles triangle are each 42

gavmur [86]

Answer:

1. H = 29 cm

2. θ = 44°

Step-by-step explanation:

1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:

$L^{2} = H^{2} + B^{2}$

Where:

L: is the sides of the isosceles triangle = 42 cm

B: is the base = 30 cm

H: is the height =?

Then, the height is:

$H = \sqrt{L^{2} - B^{2}} = \sqrt{(42 cm)^{2} - (30 cm)^{2}} = 29.4 cm = 29 cm$

2. The two equal angles (θ) can be found using the following trigonometric identity:

$cos(\theta) = \frac{B}{L}$

$\theta = cos^{-1}(\frac{30 cm}{42 cm}) = 44.4^{\circ} = 44^{\circ}$

Hence, the two equal angles are 44°.

I hope it helps you!

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2 years ago

9. Put these numbers in greatest to least order: 2/3, 60%, 0.06, 3/4

Iteru [2.4K]

Step-by-step explanation:

0.06
60%
2/3
3/4

hope it's right :)

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3 years ago

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GrogVix [38]

Answer:

Step-by-step explanation:

Use the cosine law:

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We have:

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Substitute:

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5 0

2 years ago

Ralph went on a shopping trip. He bought a pair of shoes and a sweater. Ralph spent 12% more on the sweater than on the shoes.

IgorLugansk [536]

Answer: 112%

Step-by-step explanation:

Let x = the cost of the shoes

If the cost of the sweater is 12% more than the cost of the shoes, then 1.12x is the cost of the sweater.

To convert the 1.12x into a percentage, multiply 1.12 by 100

This gives you: 112%

4 0

2 years ago