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3 years ago

Rate of change on a graph.- I'll give brainly for the answer, thank you

Mathematics

1 answer:

Norma-Jean [14]3 years ago

6 0

Answer:

The slope of graph is $\mathbf{\frac{3}{2}}$

Option C is correct option.

Step-by-step explanation:

We need to find the slope (rate of change) of the graph

The formula to calculate slope is: $Slope=\frac{y_2-y_1}{x_2-x_1}$

Taking two points from the graph: (You can take any two points from the graph)

Point 1 (-4,-3)

Point 2 (-2,0)

We have: $x_1=-4, y_1=-3, x_2=-2, y_2=0$

Putting values in the formula and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{0-(-3)}{-2-(-4)} \\Slope=\frac{0+3}{-2+4} \\Slope=\frac{3}{2}$

So, the slope of graph is $\mathbf{\frac{3}{2}}$

Option C is correct option.

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Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft 2. Find

Radda [10]

Answer: The base is 18.3ft

Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft2. Find the base. Round your answer to the nearest foot. (height=5x)(base=6x)

Step-by-step explanation:

Given;

Area = 280ft^2

height = 5x

Base = 6x

The area of the parallelogram A can be written as;

Area = base × height

A = b×h

Substituting the values of Area, base and height.

280 = 5x × 6x

280 = 30x^2

x^2 = 280/30

x = √(280/30)

Since the base = 6x ;

Substituting the value of x.

Base = 6x = 6(√(280/30))

Base = 18.3ft

The base is 18.3ft

4 0

3 years ago

A square carpet of side length 9 feet is designed with one large shaded square and eight smaller, congruent shaded squares, as s

Pepsi [2]

Answer:

$3\sqrt{3} + 72$

Step-by-step explanation:

I attached an image to aid the understanding of the question.

Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:

$9 \times 8 = 72ft^{2}$

It remains the area of the shaded square with side S.

From the question, we have the following ratio:

$\frac{9}{S} = \frac{S}{T}[\tex]But[tex]\frac{9}{S} = \frac{S}{3}[\tex]Multiplying through by 3S we have27 = S² and this gives:[tex]S = \sqrt{27} = 3\sqrt{3}$

I did not add ± because length is always positive, so the case of negative is eliminated.

Now the areas of S is $3\sqrt{3}$

Therefore, the total area of the shaded squares is

$3\sqrt{3} + 72$

3 0

3 years ago

Solve 11sinθ-2=2 for a value of θ when 0≤θ≤π/2.? How do you solve the second problem?

Sergio [31]

5cos (2x)+7=cos (2x)+8, 4cos (2x)=1, cos (2x)=1/4, 2x=arccos(1/4), x=(1/2)arccos (1/4). I used x instead of theta, and arccos is cos inverse

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3 years ago

The value of X2 + 6x + 9 for x =4 is

klasskru [66]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Compare these two fractions

AleksandrR [38]

Answer:

4/6 is more than 5/12

Step-by-step explanation:

First, set the denominators of the fractions equal to eachother to make it easier to compare. mulitiply 6 and 4 by 2 so that the denominator now equals 12, and you have the new fractions 5/12 and 8/12. Since 8/12 is more than 5/12, 4/6 is more than 5/12.

5 0

2 years ago