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3 years ago

Write an expression that gives the area of the shaded region in the figure.

Mathematics

2 answers:

azamat3 years ago

8 0

Answer:

B. $(15-4)(14-6)$

Step-by-step explanation:

We are given that,

The dimensions of the bigger rectangle are 15 ft × 14 ft.

That is, Length = 15 feet and Width = 14 feet.

So, we have that,

Length of the shaded rectangle = (15 - 4) feet

Width of the shaded rectangle = (14 - 6) feet

Then, the area of the shaded rectangle = Length × Width

<h3>i.e. Area of the shaded rectangle = $(15-4)(14-6)$ ft²</h3>

Thus, option B is correct.

Ad libitum [116K]3 years ago

7 0

Area of shaded part = (15 - 4) * (14 - 6)

That is the second choice.

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For what point on the curve of y=8x^2 - 3x is the slope of a tangent line equal to -67

AleksandrR [38]

The point on the curve is (–4, 140)

Solution:

Given $y=8x^2-3x$ and slope is –67.

slope = –67

$\frac{dy}{dx}=-67$ – – – – (1)

Now calculate $\frac{dy}{dx}$ for the given curve $y=8x^2-3x$ .

Using differential rule:

$$\frac{d}{dx}(x^n)=nx^{n-1}$

$$\frac{dy}{dx}=\frac{d}{dx}(8x^2-3x)$

$$=\frac{d}{dx}(8x^2)-\frac{d}{dx}(3x)$

$$=(8\times2x^{2-1})-(3\times1x^{1-1})$

$$=16x^1-3x^0$

$$=16x-3$

$$\frac{dy}{dx}=16x-3$ – – – – (2)

Equate (1) and (2).

$16x-3=-67$

$16x=-67+3$

$16x=-64$

⇒ x = –4

Substitute x = –4 in y.

⇒ $y=8(-4)^2-3(-4)$

⇒ $=8(16)+12$

⇒ y = 140

Hence, the point on the curve given is (–4, 140).

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4 years ago

Kareem estimated the height of his office building to be 35 ft . The actual height of his office building is 38 ft. Find the abs

Leno4ka [110]

Answer:

the absolute error is 3 ft and percent error of Tony's estimate is 789.4%.

Step-by-step explanation:

Tony estimated the height of his office building to be 45ft. The actual height of his office building is 41ft.

Now, to find the absolute error and the percent error of Tony's estimate.

The height of his office building = 45ft.

The actual height of his office building = 41 ft.

So, to get the absolute error:

The height of his office building - the actual height of his office building

38ft-35ft

=3ft

The absolute error = 3ft.

Now, to get the percent error of Tony's estimate:

------ x 100

=7.894x100

=789.4

789.4%

Therefore, the absolute error is 3 ft and percent error of Tony's estimate is 789.4%.

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4 years ago

Why is this so hard?

SCORPION-xisa [38]

Answer:

Nothing is hard if you put your mind to it.

Step-by-step explanation:

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3 years ago

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Perimeter:

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