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3 years ago

Answers for the 2 boxes please :)

Mathematics

2 answers:

Neporo4naja [7]3 years ago

5 0

Answer:

x = 5

y = -5

so values in boxes = (5, -5)

Ulleksa [173]3 years ago

3 0

Step-by-step explanation:

2x - 3y = 25

+ (5x + 3y = 10)

=> 7x = 35, x = 5.

Therefore 2(5) - 3y = 25, 3y = -15, y = -5.

The solution pair is (5,-5).

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2 years ago

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A turntable rotates counterclockwise at 78 rpm. A speck of dust on the turntable is at an initial angular position of 0.45 radia

SashulF [63]

Answer:

Displacement will be 11 revolution and 1.02π radian

Step-by-step explanation:

We have given that initial angular position = 0.45 radian

Angular speed $\omega =78rpm=\frac{2\times \pi\times 78}{60}=8.164rad/sec$

Time is given as t = 8.8 sec

So angular displacement in 8.8 sec

$\Theta =8.8\times \times 8.164=71.8432radian$

As he has already covered 0.45 radian

So total angular displacement = 0.45 + 71.8432 = 72.2932 radian

We know that 1 revolution = 2π = 2×3.14 = 6.28 radian

So 11 revolution = 11×6.28 = 69.08 radian

Left dispalcement = 72.2932 - 69.08 = 3.2132 radian = 1.02π radian

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3 years ago

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Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

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3 years ago

Which graph represents the solutions of the inequality p ≥ -1

soldi70 [24.7K]

Option D:

The solution of the inequality p is –1, 0, 1, 2, 3, ...

Solution:

Given inequality is p ≥ –1.

To find the solution for the inequality.

p ≥ –1 means the value of p is greater than or equal to –1.

That is p can be –1, 0, 1, 2, 3, ...

<u>Now find which option is correct:</u>

Option A:

In this inequality, the solution is –1, –2, –3, ...

–3 and –2 are less than –1.

But p is greater than –1.

So, it is not the solution of the inequality.

Option B:

In this inequality, the solution is 0, 1, –1, –2, –3, ...

Here 0 > –1 and 1 > –1 but –3 and –2 are less than –1.

So, it is not the solution of the inequality.

Option C:

In this inequality, the solution is 0, 1, 2, 3, ...

Here 1 > –1 , 2 > –1 and so on.

But 0 is also greater than –1. This is missing in the graph.

So, it is not the solution of the inequality.

Option D:

In this inequality, the solution is –1, 0, 1, 2, 3, ...

Here –1 = –1, 0 > –1, 1 > –1, and so on.

This graph represents all the values of p.

So, it is the solution of the inequality.

Hence option D is the correct answer.

The solution of the inequality p is –1, 0, 1, 2, 3, ...

6 0

3 years ago

What is the y-intercept of a line that has a slope of 3 and passes through point (–1, –7)?

Stells [14]

Answer:

y-intercept is -4

Step-by-step explanation:

(Refer to image)

Substitute the point and slope with the slope formula: y=mx+b and simplify

3 0

3 years ago

Answers for the 2 boxes please :)​

Answers for the 2 boxes please :)