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2 years ago

Pls help fast 27/d=4 1/2 i need to find d

Mathematics

2 answers:

Rama09 [41]2 years ago

8 0

Answer:

d is 30

Step-by-step explanation:

zvonat [6]2 years ago

6 0

Answer:

121 1/2

Step-by-step explanation:

27/d = 4.5

*27 *27

d = 121.5

d = 121 1/2

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Find the point on the plane 4x+3y+z=10 that is nearest to (2,0,1). What are the values of x, y, and z for the point? x= 28 /

MariettaO [177]

Answer:

$\frac{1}{\sqrt{26}}$ .

Step-by-step explanation:

The minimun distance between a point and a plane is the perpendicular distance. The formula is

d = $\frac{|Ax_0+By_0+Cz_0+D|}{\sqrt{A^{2}+B^{2}+C^{2}}}$

where $(x_0,y_0,z_0)=(2,0,1)$ , A=4, B=3, C=1 and D=-10. So, the distance is

d = $\frac{|8+1-10|}{\sqrt{16+9+1}}$

d = $\frac{|-1|}{\sqrt{26}}$

d = $\frac{1}{\sqrt{26}}$ .

4 0

3 years ago

Write an equation of the line in standard form.

Andreyy89

Answer:

Ok to make this easier for us we should switch these equations into y=mx+b so that it's easier for us to identify the slope and y-intercept:

to switch into y=mx+b form do this:

3x-y=5

-y=5-3x

y=-5+3x

y=3x+(-5)

2y-15x=8

2y=8+15x

y=4+7 1/2x

y=7 1/2x+4

THe slope of any line in y=mx+b form is m. Therefore in this equation:

y=3x+(-5) 3 is the slope

The y intercept of any line is the +b:

y=7 1/2x+4 -therefore 4 in this equation is our y intercept.

Now we can construct our equation in y=mx+b then into standard form (Ax+By=C)

since 3 is our slope and 4 is our y intercept the equatuon is :

y=3x+4

NOw all we need to do is move this into standard form:

y=3x+4

-3x+y=4

-3x+y=4 is your final answer

-hope this helped

Step-by-step explanation:

8 0

3 years ago

Find the distance between the points ( – 4,8) and ( – 4, – 5)

melomori [17]

Answer:

they are 13 points away from eachother

Step-by-step explanation:

count up or down then left or right

3 0

2 years ago

Read 2 more answers

Integers that equal negative 36

Alona [7]

1 and -36
-1 and 36
6 and -6
18 and -2
-18 and 2
9 and -4
-9 and 4

8 0

3 years ago

Use the figure below to find the exact values of the double angles.

scZoUnD [109]

Right away, we know that

$\cos\beta=\dfrac{16}{20}=\dfrac45$

which means

$\sin\beta=\sqrt{1-\cos^2\beta}=\dfrac35$

Then

$\cos\beta=\cos2\left(\dfrac\beta2\right)=\cos^2\dfrac\beta2-\sin^2\dfrac\beta2$

$\sin\beta=\sin2\left(\dfrac\beta2\right)=2\sin\dfrac\beta2\cos\dfrac\beta2$

Let $x=\cos\dfrac\beta2$ and $y=\sin\dfrac\beta2$ . Then

$\begin{cases}\dfrac45=x^2-y^2\\\\\dfrac35=2xy\end{cases}\implies\begin{cases}\cos\dfrac\beta2=\dfrac3{\sqrt{10}}\\\\\sin\dfrac\beta2=\dfrac1{\sqrt{10}}\end{cases}$

from which we find

$\tan\dfrac\beta2=\dfrac{\sin\frac\beta2}{\cos\frac\beta2}=\dfrac13$

You can use the same ideas above to find the trig ratios for $\dfrac\alpha2$ , starting from the given fact that $\sin\alpha=\dfrac{16}{20}=\dfrac45$ .

3 0

3 years ago