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2 years ago

I need help on this

Mathematics

1 answer:

IRINA_888 [86]2 years ago

7 0

Answer:

Rate of change is slope

To calculate slope its

y2 - y1 / x2- x1 = slope

Just choose 2 random sets from the table.

I’m gonna go with (0,-10) and (2,20)

Now calculate slope

20 - (-10) / 2 - 0

Solve.

30 / 2

30/2 = 15

Rate of change is 15

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Please help as soon as possible. With correct answer and explanation!!!

Roman55 [17]

Answer: Reflexive Property

Step-by-step explanation:

A side congruent to itself is Reflexive Property.

7 0

3 years ago

Which expression is equivalent to 12b + 3a? choices: a (a + b) x 12 b 3 (4b + a) c ab x 12 x 3 d (12 x 3) + (b x a)

gavmur [86]

Answer:

The answer to the equation is B.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Evaluate the expression x - 5y2 when x 3 and y = 7.

meriva

The answer is -67
explanation: 3-5x7x2 5x7= 35 35x2= 70 3-70= -67

6 0

3 years ago

Write an inequality representing the fact that the total perimeter of the garden is at most 40 ft

dlinn [17]

Answer:

Part A) $x+y\leq 20$

Part B) The solution in the attached figure

Step-by-step explanation:

The complete question is

Suppose Rick has 40 ft of fencing with which he can build a rectangular garden. Let X represent the length of the garden and let Y represent the width.

A. Please write an inequality representing the fact that the total perimeter of the garden is at most 40 ft.

B. Please sketch part of the solution set for this inequality that represents all possible values for the length and width of the garden.

Part A)

Let

x ----> the length of the rectangular garden

y ----> the width of the rectangular garden

we know that

The perimeter of the rectangular garden is equal to

$P=2x+2y$

In this problem the word "at most" means "less than or equal to"

The inequality that represent this situation is

$2x+2y\leq 40$

Simplify

$x+y\leq 20$

Part B) we have

$x+y\leq 20$

Isolate the variable y

subtract x both sides

$y\leq -x+20$

The solution of the inequality is the shaded area below the solid line $y= -x+20$

The slope of the solid line is negative (m=-1)

The y-intercept of the solid line is (0,20)

The x-intercept of the solid line is (20,0)

therefore

The solution is the triangular shaded area

see the attached figure

Remember that

Both the length and the width must be positive

3 0

4 years ago

32. Parallelogram ABCD has vertices A(0,0), B(2,4), and C(10,4). Find the coordinates of D.

goblinko [34]

Answer:

The fourth vertex is D(8, 0)

Step-by-step explanation:

Let A(0, 0), B(2, 4), and C(10, 4) be the three vertices of a parallelogram ABCD and let its fourth vertex be D(a, b).

Join AC and BD. Let AC and BD intersect at point O.

We have known that the diagonals of a parallelogram bisect each other.

So, O would be the midpoint of AC as well as that of BD.

$A\left(0,\:0\right)=\left(x_1,\:x_2\:\right)$

$C\left(10,\:4\right)=\left(x_2,\:x_2\:\right)$

The midpoint of AC is:

$\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

$\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(10,\:4\right)$

$=\left(\frac{10+0}{2},\:\frac{4+0}{2}\right)$

$=\left(5,\:2\right)$

The midpoint of BD is:

$=\left(\frac{a+2}{2},\:\frac{b+4}{2}\right)$

∵ $\frac{a+2}{2}=5$

$a+2=10$

$a=8$

∵ $\frac{b+4}{2}=2$

$b+4=4$

$b=0$

Hence, the fourth vertex is D(8, 0)

4 0

3 years ago