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4 years ago

Select the slope if the equation y - 7 =

Mathematics

1 answer:

tensa zangetsu [6.8K]4 years ago

7 0

Answer:

Slope of line is

and intercept is

Step-by-step explanation:

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How far is the<br>crab from the<br>sea level?

netineya [11]

very far, but it can come to beaches as well

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3 years ago

Jacob can create an app in 24 hours, but if he works together with a friend they can create an app in 16 hours. How long would i

andre [41]

Answer:

it takes him 8 hours

Step-by-step explanation:

7 0

3 years ago

Part 2: Use the information provided to write the vertex form equation of each parabola.

Serggg [28]

Answer: 1. x = -2(y - 4)² + 1

2. x = -y² + 5

3. y = -5(x + 1)² + 2

<u>Step-by-step explanation:</u>

Notes: The vertex formula of a parabola is x = a(y - k)² + h or y = a(x - h)² + k

(h, k) is the vertex
p is the distance from the vertex to the focus

$\bullet\quad a=\dfrac{1}{4p}$

$\text{Vertex}=(1,4)\qquad \text{Focus}:\bigg(\dfrac{7}{8},4\bigg)\\\\\text{Given}: (h,k)=(1,4)\\\\\\p=focus-vertex=\dfrac{7}{8}-\dfrac{8}{8}=\dfrac{-1}{8}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{8})}=\dfrac{1}{-\frac{1}{2}}=-2$

Now input a = -2 and (h, k) = (1, 4) into the equation x = a(y - k)² + h

x = -2(y - 4)² + 1

***********************************************************************************

$\text{Vertex}=(5,0)\qquad \text{Directrix}:x=\dfrac{21}{4}\\\\\text{Given}: (h,k)=(5,0)\\\\\\p=vertex-directrix=\dfrac{20}{4}-\dfrac{21}{4}=\dfrac{-1}{4}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{4})}=\dfrac{1}{-1}=-1$

Now input a = -1 and (h, k) = (5, 0) into the equation x = a(y - k)² + h

x = -1(y - 0)² + 5 → x = -y² + 5

***********************************************************************************

$\text{Vertex}=(-1,2)\qquad \text{Directrix}:y=\dfrac{41}{20}\\\\\text{Given}: (h,k)=(-1,2)\\\\\\p=vertex-directrix=\dfrac{40}{20}-\dfrac{41}{20}=\dfrac{-1}{20}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{20})}=\dfrac{1}{-\frac{1}{5}}=-5$

Now input a = -5 and (h, k) = (-1, 2) into the equation y = a(x - h)² + k

y = -5(x + 1)² + 2

8 0

3 years ago

Grass can grow up to six inches in a week depending on temperature, humidity, and time of year. At this rate , how tall will gra

Olegator [25]

Grass can grow up to six inches in a week depending on temperature, humidity, and time of year

We have to calculate how tall will grass grow in 24 days

we know there are seven days in a week

so in one day grass can grow up to 6/7 inches

therefore we could say that grass can grow up to 24*6/7 inches

so the answer is 20.57 inches

so in 24 days grass can grow up to 20.57 inches

3 0

4 years ago

Find the volume (in terms of pi) of a sphere of its surface area is 400 pi ft2

elixir [45]

$\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2\qquad \qquad \implies \stackrel{SA}{400\pi }=4\pi r^2\implies \cfrac{400\pi }{4\pi }=r^2 \\\\\\ 100=r^2\implies \sqrt{100}=r\implies \boxed{10=r} \\\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad \qquad V=\cfrac{4\pi \boxed{10^3}}{3}\implies V=\cfrac{4000\pi }{3}$

8 0

3 years ago

Read 2 more answers