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3 years ago

8

What is the difference between equality and congruence

1 answer:

erastova [34]3 years ago

7 0

I think congruence is more for shapes while equality is more for algebra

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T=√k(k-b)(k-m).... make b the subject of the formula

Liono4ka [1.6K]

Answer:

b = -T²/k(k-m) + k

Step-by-step explanation:

Given the equation T =√k(k-b)(k-m), we are to make b the subject of the formula

Square both sides

T² = (√k(k-b)(k-m))²

T² = k(k-b)(k-m)

T²/k(k-m) = k-b

Rearrange

k - b = T²/k(k-m)

b - k = - T²/k(k-m)

Add j=k to both sides

b - k + k = - T²/k(k-m) + k

b = -T²/k(k-m) + k

This gives the required expression

5 0

3 years ago

Find the area of the triangle whose vertices are (0,4) , (0,0) and (2,0) by plotting them on graph

Luden [163]

Refer to the attached image. Since one vertex is the origin and the other two lay on the coordinate axes, the triangle is a right triangle. This means that, if we consider AB to the be base, AC is his height, and vice versa.

Anyway, it means that the area is given by

$A = \cfrac{\overline{AB}\times\overline{AC}}{2}$

Since AB is a horizontal segment and AC is a vertical segment, their length is given by the absolute difference of the non-constant coordinate: points A and B share the same x coordinate, so we subtract the y coordinates:

$\overline{AB} = |2-0| = |2| = 2$

The opposite goes for AC: points A and C share the same y coordinate, so we subtract the x coordinates:

$\overline{AC} = |4-0| = |4| = 4$

So, the area is

$A = \cfrac{2\times 4}{2} = 4$

4 0

3 years ago

Which equation has infinitely many solutions?

raketka [301]

Answer:

C

Step-by-step explanation:

5.1 + 2y + 1.2 = -2 + 2y + 8.3 ( subtract 2y on each side)

5.1 + 1.2 = -2 + 8.3 ( collect like terms)

6.3 = 6.3

If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.

4 0

3 years ago

Read 2 more answers

Please help thank you

Thepotemich [5.8K]

Answer:

The value is 78

Step-by-step explanation:

We need to add them all together

6+15+24+33

78

7 0

3 years ago

Draw a function of dy/dx for the graphical below (image). Please help!

fenix001 [56]

Step-by-step explanation:

Remember that

$\frac{dy}{dx}$

is the gradient or slope function.

So we need to analyze the slope of each graph over given time.l and how it changes.

For the 1st graph, we have a linear function.

Remember the special properties for all linear functions:

The slope at any two points on the line is the same.

So this means our slope here must be constant.

And since our slope is negative, our dy/dx, function must be a constant function that is negative. So

The answer for the first graph is draw a horizontal line underneath the x axis.

For the 2nd graph, we have a slope that is decreasing, reaches 0 at the minimum, then increases even more.

We can draw a linear function that is increasing forever for our dy/dx.

For the 3rd graph, we are increasing , till we hit 0, then decrease until we hit 0, then forever increases.

Our dy/dx will be a parabola that passes through the x axis twice at two different points, facing upwards.

The first , second, and third graph is the dy/dx graphs shown respectively.

All these are examples of possible graphs. If you need more clarification, let me know

4 0

2 years ago