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3 years ago

I need help with both of these problems

Mathematics

1 answer:

GREYUIT [131]3 years ago

8 0

The first question is D because if the
y-intercept is 1 then every point moves down three units.

The second question is J because a vertical line is not a function so it can’t be a linear function.

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What is the equation of the line that passes through points (15,9) and (-2,9)

Vikki [24]

Answer:

y=9

Step-by-step explanation:

Slope: 9-9/-2-15=0

Therefore, y=0x+b

Plug values in: 9=0(-2)+b

0+b=9

b=9

Therefore, equation is y=9

7 0

3 years ago

You have a wire that is 20 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o

Aleksandr [31]

Answer:

Therefore the circumference of the circle is $=\frac{20\pi}{4+\pi}$

Step-by-step explanation:

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

$\Rightarrow s=\frac{10-\pi r}{2}$

The area of the circle is = πr²

The area of the square is = s²

A represent the total area of the square and circle.

A=πr²+s²

Putting the value of s

$A=\pi r^2+ (\frac{10-\pi r}{2})^2$

$\Rightarrow A= \pi r^2+(\frac{10}{2})^2-2.\frac{10}{2}.\frac{\pi r}{2}+ (\frac{\pi r}{2})^2$

$\Rightarrow A=\pi r^2 +25-5 \pi r +\frac{\pi^2r^2}{4}$

$\Rightarrow A=\pi r^2\frac{4+\pi}{4} -5\pi r +25$

For maximum or minimum $\frac{dA}{dr}=0$

Differentiating with respect to r

$\frac{dA}{dr}= \frac{2\pi r(4+\pi)}{4} -5\pi$

Again differentiating with respect to r

$\frac{d^2A}{dr^2}=\frac{2\pi (4+\pi)}{4}$ > 0

For maximum or minimum

$\frac{dA}{dr}=0$

$\Rightarrow \frac{2\pi r(4+\pi)}{4} -5\pi=0$

$\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}$

$\Rightarrow r=\frac{10}{4+\pi}$

$\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0$

Therefore at $r=\frac{10}{4+\pi}$ , A is minimum.

Therefore the circumference of the circle is

$=2 \pi \frac{10}{4+\pi}$

$=\frac{20\pi}{4+\pi}$

4 0

2 years ago

Divide £720 in the ratio 5:1

Sergio [31]

Answer:

like 140

Step-by-step explanation:

yeah

4 0

3 years ago

Read 2 more answers

What is the horizontal asymptote for the above function? y=x/x^2-16<br><br>y=

sergeinik [125]

$\bf y = \cfrac{\stackrel{\textit{degree of 1}}{x^1}}{\underset{\textit{degree of 2}}{x^2-16}}$ when the degree of the denominator is greater than that of the numerator, the only horizontal asymptote occurs at y = 0.

8 0

3 years ago

A snowplow has maximum speed of 45 miles per hour on a dry highway. Its maximum speed decreases by 1.6 miles per hour for every

nadezda [96]

Answer:

28.125

Step-by-step explanation:

If it is going 45mph and every hour it decreases 1.6mph per inch of snow added. so 45 divided by 1.6 is 28.125.

5 0

3 years ago