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3 years ago

Triangles ABC and XYZ are similar figures, because angles A, B, and C are congruent to angles X, Y, and Z, respectively.

Mathematics

1 answer:

CaHeK987 [17]3 years ago

8 0

Answer:

45cm

Step-by-step explanation:

Since they are simliar, they are proportional.

SO, you can do AC/XZ = BC/YZ

You can also see that XZ is 5 times larger than AC

SO multiply BC by 5.

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Jason stops at a ball-toss game at the carnival. The sign reads," Three balls for 40 ¢ or or 6 balls for 60¢." what percent does

zubka84 [21]

So he save 40 % if it is 100pence

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4 years ago

Which property justifies the fact that 5(x−2) is equivalent to 5x−10?

TiliK225 [7]

Answer:

c i believe:/

Step-by-step explanation:

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6 0

3 years ago

Determine whether f(x)=-4(x+3)^2-5 has a maximum or a minimum value, then find that value

Leto [7]

Answer:

Yes it has

Step-by-step explanation:

From my perspective.........

f(x) = -4(x + 3)² - 5

f(x) = -4(x + 3)(x + 3) - 5

f(x) = -4(x² + 6x + 9) - 5

f(x) = -4x² - 24x - 36 - 5

f(x) = -4x² - 24x - 41

Dy/dx = -8x - 24

At minimum Dy/dx = 0

-8x - 24 = 0

-8x = 24

x = 24/-8

x = -3

At minimum

y = -4x² - 24x - 41

y = -4(-3)² - 24(-3) - 41

y = -4(9) + 72 - 41

y = -36 + 72 - 41

y = 36 - 41

y = -5

5 0

3 years ago

Tim is remodeling his square kitchen but has forgotten the dimensions. He knows he had bought 81 square feet of tiles earlier, a

sammy [17]

Answer:

C) 36 feet

Explanation:

P(square)= 4s

s= square root of the area

$4 \times \sqrt{a} \\ a = 81 \\ 4 \times \sqrt{81} \\ 4 \times 9 \\ = 36$

4 0

3 years ago

Write a quadratic equation in standard form that has 5 3 and 7 3 as its roots. A) 9x2 − 36x + 35 = 0 B) 9x2 + 36x − 35 = 0 C) 9x

Serggg [28]

Answer:

Option A)

$9x^2 - 36x + 35 = 0$

Step-by-step explanation:

We are given the following in the question:

Roots of quadratic equation are:

$\alpha = \dfrac{5}{3}, \beta = \dfrac{7}{3}$

The sum of the roots and the product of the roots can be calculated as:

$\alpha + \beta = \dfrac{5+7}{3} = 4\\\\\alpha\beta = \dfrac{5}{3}\times \dfrac{7}{3} = \dfrac{5}{9}$

Standard form of quadratic equation:

$x^2-(\alpha + \beta)x+\alpha\beta = 0$

Putting values, we get,

$x^2 - 4x + \dfrac{35}{9} = 0\\\\9x^2 - 36x + 35 = 0$

is the required quadratic equation.

Thus, the correct answer is

Option A)

$9x^2 - 36x + 35 = 0$

5 0

3 years ago