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3 years ago

Help me por favor?!?!?!

Mathematics

1 answer:

fredd [130]3 years ago

7 0

Answer:

both lines have the same slope, hence they are parallel to each other

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Two lines are said to be parallel to each other if they have the same slope, whereas two lines are perpendicular to each other if the product of their slopes is -1.

Given a line with an equation:

y = (2/3)x - 17

From the equation of the line with can see that the slope of the line is 2/3 and the y intercept is -17.

Also the other line has an equation of 4x - 6y = -6

6y = 4x + 6

y = (2/3)x + 1

Hence this line has a slope of 2/3 and a slope of 1.

Since both lines have the same slope, hence they are parallel to each other

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20 Points! Which ordered pair is the best estimate for the solution of the system of equations?

yan [13]

Answer:

The best estimate for the solution is the ordered pair $(-6.5,-3.5)$

Step-by-step explanation:

we have

$y=\frac{3}{2}x+6$ ------> equation A

$y=\frac{1}{4}x-2$ ------> equation B

we know that

using a graphing tool, the solution of the system of equations is the intersection point both graphs

The intersection point is $(-6.4,-3.6)$

therefore

The best estimate for the solution is the ordered pair $(-6.5,-3.5)$

3 0

3 years ago

Mark and some of his friends had eaten pizzas. What is this written as a decimal?

Varvara68 [4.7K]

Answer:

We don't really have the whole question, but to convert to a decimal, you should divide the numerator by the denominator.

Example:

Convert 5/8 to a decimal.

5 divided by 8 = 0.625

7 0

3 years ago

Please help me with these questions. I’m genuinely confused.

jok3333 [9.3K]

Answer:

16. 1 4/5

17. 2 2/3

18. 4/11

19. 4 1/2

20. 4/7

21. 1/2

22. 1 2/5

23. 2 1/2

24. 4 2/3

Step-by-step explanation:

1. subtract whole numbers first

2. subtract fractions next (simplify if you can)

3. subtract fractions and whole numbers

8 0

3 years ago

What is the lateral and surface area? I will give the brainliest if you answer correctly and no links or you will be reported

jeyben [28]

Answer:

Lateral: 560

Surface Area: $560 + 96\sqrt{3}$

Step-by-step explanation:

Well, we know that the lateral area is just the surface area subtracted by the hexagon base of the figure. Thus, if we (1) find the area of one of the triangular faces and multiply by 6, we get the lateral area. And then, if we (2) add the area of the hexagonal base, we get the surface area.

Let's do (1) first to get the lateral area

They mention that the base of one of the triangular faces is 8 and its height (which is the slant height) is 20. So the area is simply 20 * 8/2 = 80

Then, we multiply by 6 because there are 6 of these triangles and get 560

So the lateral area is 560

Let's do (2) next to find the surface area

If we add the area of the hexagonal base to 560, we obtain the surface area

The hexagon is a regular hexagon with a length of 8. Now, the area of a hexagon $3\sqrt{3} * s^2 /2$ where $s$ is the side. We can obtain this formula if we separate the hexagon into 6 equilateral triangles.