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3 years ago

Here's a graph of a linear function. write the equation that describes that function.

Mathematics

1 answer:

7nadin3 [17]3 years ago

7 0

Answer:

Step-by-step explanation:

slope intercept form => Y = mx + b

find m... the slope by using any two points on the line

p1 = (0,5) by inspection

p2=(4,6) by inspection

find m = y2-y1 / x2-x1

m = 6 - 5 / 4 - 0

m =1 / 4

then use the slope intercept formula

y = 1/4x + 5 for your answer. we know b = 5 b/c thats where the line crosses the y axis.

y = $\frac{1}{4}$ x + 5 is the answer

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Please help me now plz <br> I will mark you brainliest

EastWind [94]

Answer:

1229 km

Step-by-step explanation:

The missing angle is ...

180° -60° -75° = 45°

Knowing that, the Law of Sines can be used to find the side opposite the 75° angle.

?/sin(75°) = 900 km/sin(45°)

? = (900 km)sin(75°)/sin(45°) ≈ 1229.423 km

The UFO is about 1229 km from KA-12.

5 0

3 years ago

If c is the curve given by \mathbf{r} \left( t \right = \left( 1 5 \sin t \right \mathbf{i} \left( 1 3 \sin^{2} t \right \mathbf

jonny [76]

With the curve $C$ parameterized by

$C:\mathbf r(t)=\underbrace{15\sin t}_{x(t)}\,\mathbf i+\underbrace{13\sin^2t}_{y(t)}\,\mathbf j+\underbrace{12\sin^3t}_{z(t)}\,\mathbf k$

with $0\le t\le\dfrac\pi2$ , and given the vector field

$\mathbf f(x,y,z)=x\,\mathbf i+y\,\mathbf j+z\,\mathbf k$

the work done by $\mathbf f$ on a particle moving on along $C$ is given by the line integral

$\displaystyle\int_C\mathbf f\cdot\mathrm d\mathbf r=\int\limits_{t=0}^{t=\pi/2}\mathbf f(x(t),y(t),z(t))\cdot\frac{\mathrm d\mathbf r(t)}{\mathrm dt}\,\mathrm dt$

where

$\mathrm d\mathbf r=(15\cos t\,\mathbf i+26\sin t\cos t\,\mathbf j+36\sin^2t\cos t\,\mathbf k)\,\mathrm dt$

The integral is then

$\displaystyle\int_0^{\pi/2}(15\sin t\,\mathbf i+13\sin^2t\,\mathbf j+12\sin^3t\,\mathbf k)\cdot(15\cos t\,\mathbf i+13\sin2t\,\mathbf j+18\sin t\sin2t\,\mathbf k)\,\mathrm dt$
$=\displaystyle\int_0^{\pi/2}(432\sin^5t\cos t+338\sin^3t\cos t+225\sin t\cos t$
$=269$

6 0

3 years ago

What is the circumference of a circle if the radius is 50 ?

Zina [86]

The appropriate formula is C = 2*pi*r.

Here, C = 2*pi*(50 units) = 100*pi units (answer)

5 0

3 years ago

The larger leg of a right triangle is 3cm longer than its smaller leg. The hypotenuse is 6cm longer than the smaller leg. how ma

Natalka [10]

$b=a+3\\
c=a+6\\
a^2+b^2=c^2\\\\
a^2+(a+3)^2=(a+6)^2\\
a^2+a^2+6a+9=a^2+12a+36\\
a^2-6a-27=0\\
a^2-9a+3a-27=0\\
a(a-9)+3(a-9)=0\\
(a+3)(a-9)=0\\
a=-3 \vee a=9\\
$

The length can't be negative, so the answer is 9 cm.