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3 years ago

Question 20

Mathematics

1 answer:

zimovet [89]3 years ago

7 0

9514 1404 393

Answer:

(d) A = 18 units²

Step-by-step explanation:

Line CE can be considered to be the base of two triangles. It is 6 units long. The upper triangle is 4 units high, and the lower triangle is 2 units high. The formula for the area of a triangle is ...

A = 1/2bh

Then the sum of the areas of the two triangles is ...

A = 1/2(6)(4) +1/2(6)(2) = 12 +6 = 18

The area of the polygon is 18 square units.

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If the bases of an isosceles trapezoid have lengths of 11 and 24, what is the length of the median? A. 17.5 units B. 35 units C.

erma4kov [3.2K]

Answer:

Option A. $17.5\ units$

Step-by-step explanation:

we know that

The measure of the median is the semi-sum of the bases

$\frac{1}{2}(11+24)=17.5\ units$

4 0

3 years ago

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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?

lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ( $k$ ) is described by the following expression:

$k = \frac{y}{x}$ (1)

Where:

$x$ - Input.

$y$ - Output.

If we know that $(x_{1}, y_{1}) = (13, 45.5)$ , $(x_{2}, y_{2}) = (14, 49)$ and $(x_{3}, y_{3}) = (15, 52.5)$ , then the constants of proportionalities of each ordered pair are, respectively:

$k_{1} = \frac{y_{1}}{x_{1}}$

$k_{1} = \frac{45.5}{13}$

$k_{1} = \frac{7}{2}$

$k_{2} = \frac{y_2}{x_2}$

$k_{2} = \frac{49}{14}$

$k_{2} = \frac{7}{2}$

$k_{3} = \frac{y_{3}}{x_{3}}$

$k_{3} = \frac{52.5}{15}$

$k_{3} = \frac{7}{2}$

Since $k_{1} = k_{2} = k_{3}$ , the constant of proportionality is 3.5.

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3 years ago

D²y/dx²=12x-12. express y in terms of x

Liono4ka [1.6K]

Answer:

y(x)=2x^3-6x^2+ax+b, a and b are constants

Step-by-step explanation:

d2y/dx2=12x-12, integrating both sides we get

dy/dx=6x^2-12x+a, where a is the integration constant.

Again integrating both sides, we get

y(x)=2x^3-6x^2+ax+b, where b is the integration constant

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3 years ago

Please help ill give brainliest

Tcecarenko [31]

The answer is D t= 1.05(35)

3 0

3 years ago

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Name two integers whose product is negative.

oksano4ka [1.4K]

You know that one integer is a negative integer, as the product is negative- and if the sum is zero, then the absolute value of the two integers are equal. Thus, the integers are +/- sqrt(36). or +/- 6.

Example: 6 and -6

Your welcome.

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3 years ago