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3 years ago

Find the missing length

Mathematics

1 answer:

7nadin3 [17]3 years ago

7 0

Answer:

PQ=36

Step-by-step explanation:

If the triangles are similar, then they must have a common ratio between them.

RQ corresponds with CB, so $\frac{84}{18}=\frac{14}{3}$

If the ratio is $\frac{14}{3}$ , then $\frac{168}{\frac{14}{3}}=36$ , so PQ=36.

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mr_godi [17]

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4 years ago

Read 2 more answers

- Polynomial Functions -For each function, state the vertex; whether the vertex is a maximum or minimum point; the equation of t

vladimir2022 [97]

EXPLANATION

Given the function f(x) = (x-6)^2 + 1

$\mathrm{The\: vertex\: of\: an\: up-down\: facing\: parabola\: of\: the\: form}\: y=ax^2+bx+c\: \mathrm{is}\: x_v=-\frac{b}{2a}$

Expanding (x-6)^2 + 1 by applying the Perfect Square Formula:

$=x^2-12x+37$ $\mathrm{The\: parabola\: params\: are\colon}$ $a=1,\: b=-12,\: c=37$ $x_v=-\frac{b}{2a}$ $x_v=-\frac{\left(-12\right)}{2\cdot\:1}$ $\mathrm{Simplify}$ $x_v=6$ $y_v=6^2-12\cdot\: 6+37$

Simplify:

$y_v=1$

$\mathrm{Therefore\: the\: parabola\: vertex\: is}$ $\mleft(6,\: 1\mright)$ $\mathrm{If}\: a$ $\mathrm{If}\: a>0,\: \mathrm{then\: the\: vertex\: is\: a\: minimum\: value}$ $a=1$ $\mathrm{Minimum}\mleft(6,\: 1\mright)$ $\mathrm{For\: a\: parabola\: in\: standard\: form}\: y=ax^2+bx+c\: \mathrm{the\: axis\: of\: symmetry\: is\: the\: vertical\: line\: that\: goes\: through\: the\: vertex}\: x=\frac{-b}{2a}$

Expanding (x-6)^2 + 1 by applying the Perfect Square Formula:

$y=x^2-12x+37$ $\mathrm{Axis\: of\: Symmetry\: for}\: y=ax^2+bx+c\: \mathrm{is}\: x=\frac{-b}{2a}$ $a=1,\: b=-12$ $x=\frac{-\left(-12\right)}{2\cdot\:1}$ $\mathrm{Refine}$

Axis of simmetry : x=6

The quadratic function has the same shape than the parent function y=x^2 because there is NOT a coefficient within x.

3 0

1 year ago

PLEASE HELP!!!!

Black_prince [1.1K]

Answer:

The probability that you would choose a green candy: $\frac{45}{139}$ or approximately 32%.

Step-by-step explanation:

The general form of probability can be calculated as the following fraction:

$\frac{number of desired outcomes}{total number of outcomes}$

First, to find the total number of outcomes, you need to add all of the candies together: 42 + 45 + 20 + 32 = 139, so there are 139 total outcomes. Since there are a total of 45 green candies, the probability of choosing green from the total can be written as:

$\frac{45}{139}$

Dividing the numerator by the denominator and multiplying by 100 gives us the percentage of approximately 32%.

5 0

3 years ago

What is the solution to the system graphed below

elena-14-01-66 [18.8K]

Answer:

92398721

Step-by-step explanation:

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3 years ago

From 4 feet above a swimming pool Susan throws a ball up word with a velocity of 32 ft./s. The height h(t) of the ball t seconds

dem82 [27]

Answer:

h(t) = 20 ft

Step-by-step explanation:

The equation for the trajectory is according to problem statement

h(t) = - 16*t² + 32*t + 4

Then velocity is dh/dt

d(h)/dt = - 32*t + 32

at h max d(h)/dt = 0

- 32*t + 32 = 0

t = 1 sec

Therefore after 1 second the ball reachs the maximum height

plugging this value in the equation of trajectory we get maximum height

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h(t) = 20 ft from swimming pool level

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3 years ago