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2 years ago

Please help me with my algebra homework (Attachment)

Mathematics

2 answers:

Lapatulllka [165]2 years ago

5 0

Answer:

Step-by-step explanation:

To see if a line is parallel to y = -(2/3)x + 8 you need to check if the coefficients at y and x are of the same ratio. This immediately removes answers A and C, because of the wrong sign at x compared to y.

What's left is to see which of the answers B and D passes through (4, -5) by inputting x = 4 and y = -5

left = -5 - 5 = -10

right = -(2/3)(4 + 4) = -16/3

So it's D. Let's verify:

left = -5 + 5 = 0

right = -(2/3)(4 - 4) = 0

Checks out.

Sholpan [36]2 years ago

5 0

Answer:

Option D

Step-by-step explanation:

→ Find the gradient of the parallel line

$y=-\frac{2}{3} x+c$

→ Substitute in the coordinates as x and y values to find c

$5=-\frac{2}{3} *-4+c$

→ Simplify

$5=\frac{8}{3} +c$

→ Minus $\frac{8}{3}$ from both sides to find c

$c = \frac{7}{3}$

→ Expand out all options and then see which one contains all the numbers above

Option D

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Find equations of the spheres with center(1, −1, 6)that touch the following planes.a) xy-planeb) yz-planec) xz-plane

Misha Larkins [42]

Given :

Center of sphere , C( 1 , -1 , 6 ) .

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Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .

Solution :

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d = 1 unit .

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Distance of point from xz-plane is :

d = 1 unit .

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Hence , this is the required solution .

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2 years ago

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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At noon, ship A is 50 km west of ship B. Ship A is sailing south at 10 km/h and ship B is sailing north at 20 km/h. How fast is

Lena [83]

So hmmm check the picture below

so, we're looking for dr/dt then at 4:00pm or 4 hours later

now, keep in mind that, the distance "x", is not changing, is constant whilst "y" and "r" are moving, that simply means when taking the derivative, that goes to 0

$\bf r^2=x^2+y^2\implies 2r\cfrac{dr}{dt}=0+2y\cfrac{dy}{dt}\implies \cfrac{dr}{dt}=\cfrac{y\frac{dy}{dt}}{r}\quad 
\begin{cases}
\cfrac{dy}{dt}=30\\
r=130\\
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\end{cases}
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2 years ago

(MUST SHOW WORKING)

myrzilka [38]

First of all, keep in mind :
m --> cm = times by 100
cm --> mm = times by 10
mm --> cm = divide by 10
cm --> m = divide by 100

so we know that a square has 4 equal sides and to find the area of a square we do base*height. now these two numbers on the base and height are the same so we're basically squaring them to get the area of 81. therefore, we do the reverse so square root 81 and we get the answer 9cm

now let's convert 9cm to mm
= 9*10 = 90
area in mm = 90mm

now let's convert 9cm to meters
= 9/100=0.09
area in m = 0.09m

and finally, we already worked out the area in cm
= 9cm

hope this helped :)

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2 years ago