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3 years ago

10

Serenity used an iPhone to take a photo of the flagpole. In the photo, the flag pole has a height of 3 inches. If the photo used

a scale of 8 inches to 26 feet, what is the actual height of the flag pole in feet

2 answers:

zvonat [6]3 years ago

5 0

Answer:

9.75 ft tall

Step-by-step explanation:

:)

sergejj [24]3 years ago

3 0

The flag pole is 9.75 feet tall

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Find an equation for these points (-5,5) (4,2)

user100 [1]

Answer:

$\large\boxed{y=-\dfrac{1}{3}x+\dfrac{10}{3}}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (-5, 5) and (4, 2).

substitute:

$m=\dfrac{2-5}{4-(-5)}=\dfrac{-3}{9}=-\dfrac{1}{3}$

Put the value os a slope and coordinates of the point (4, 2) to the equation of a line:

$2=-\dfrac{1}{3}(4)+b$

$2=-\dfrac{4}{3}+b$ <em>add 4/3 to both sides</em>

$2\dfrac{4}{3}=b\to b=3\dfrac{1}{3}\to b=\dfrac{10}{3}$

6 0

4 years ago

ITS TIMED PLEASE HELP

Lubov Fominskaja [6]

Answer:

The graph of the function $f(x)=\frac{1}{2}x^{2}-4x+5$ has a minimum located at (4,-3)

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

$f(x)=a(x-h)^{2}+k$

where

a is a coefficient

(h,k) is the vertex of the parabola

If a > 0 the parabola open upward and the vertex is a minimum

If a < 0 the parabola open downward and the vertex is a maximum

In this problem

The coefficient a must be positive, because we need to find a minimum

therefore

Check the option C and the option D

Option C

we have

$f(x)=\frac{1}{2}x^{2}-4x+5$

Convert to vertex form

$f(x)-5=\frac{1}{2}x^{2}-4x$

Factor the leading coefficient

$f(x)-5=\frac{1}{2}(x^{2}-8x)$

$f(x)-5+8=\frac{1}{2}(x^{2}-8x+16)$

$f(x)+3=\frac{1}{2}(x^{2}-8x+16)$

$f(x)+3=\frac{1}{2}(x-4)^{2}$

$f(x)=\frac{1}{2}(x-4)^{2}-3$

The vertex is the point (4,-3) ( is a minimum)

therefore

The graph of the function $f(x)=\frac{1}{2}x^{2}-4x+5$ has a minimum located at (4,-3)

5 0

4 years ago

A negatively skewed curve represents a distribution in which there are very few scores on the right side of the distribution.

Lena [83]

<span>A negatively skewed curve represents a </span><span>distribution in which there are very few scores on the left side of the curve; there are very few very low scores; most of the scores are lumped together on the right side of the curve, above the mean</span>

7 0

3 years ago

37. Two numbers are such that their

omeli [17]

Answer:

8 and 6

Step-by-step explanation:

Two numbers are such that their difference, their sum, and their product are to

each other as 1:7:24. Their product must equal what number?

:

Two numbers a & b

Let x = the multiplier

:

a - b = 1x

a + b = 7x

a * b = 24x

:

Add the 1st two equations

a - b = x

a + b = 7x

2a = 8x

a = 4x

or

x = .25a

:

a * b = 24x

Replace 24x; a = 4x therefore:

a * b = 6a

b = 6

;

Using the 1st equation

a - b = 1x

Replace b with 6 and x with .25a

a - 6 = .25a

a - .25a = 6

.75a = 6

a =

a = 8

:

Find the multiplier

a - b = x

8 - 6 = 2

:

Check this

a - b = 2 (1*2)

a + b = 14; (7*2)

a * b = 48: (24*2)

:

The numbers are 8 and 6; their products = 48

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3 years ago

X varies inversely with y and x = 8 when y = 10, what is the value of y when x=6

Alja [10]

The right answer for the question that is being asked and shown above is that:

x = k (1/y)
k = xy

x1y1 = x2y2
8*10 = 6y2
80 = 6y2
y2 = 40/3

So the answer is 40/3
<span>X varies inversely with y and x = 8 when y = 10, what is the value of y when x=6</span>

3 0

3 years ago