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Anika [276]
3 years ago
10

How do i graph -7x-2y=-21???

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
7 0

Answer:

-7/2 is the slope. -10.5 is your starting point on the y-axis. You go from -10.5, up 7 and over to the left 2 times because it's negative.

Step-by-step explanation:

-7x-2y=-21

-2y=7x-21

y=-7/2x-21/2

y=-7/2x-10.5

Hope this helps!

ycow [4]3 years ago
5 0

You might want to simplify the equation first. Basically, we'll use y = ax+b instead.

-7x-2y=-21\\-2y=-21+7x\\y=\frac{-21}{-2}+\frac{7x}{-2} \\y=\frac{21}{2}-\frac{7x}{2}\\y=\frac{21-7x}{2}

Should have been like this then you are able to graph.

To graph, you need to find the x-intercept and y-intercept.

(1) Find x-intercept, substitute y = 0

0=\frac{21-7x}{2} \\0=21-7x\\7x=21\\x=3

Thus, the graph has a x-intercept at (3,0). For those who are wondering where does the fractional 2 go, just multiply the whole equation by 2 to get rid of the fraction.

(2) Find y-intercept, substitute x = 0

y=\frac{21-7x}{2}\\ y=\frac{21-0}{2}\\ y=\frac{21}{2} \\

Also 21/2 = 10.5, Thus the graph passes y-axis at (0, 10.5)

Now plot the graph, make a line from x-intercept and y-intercept and you should get like this (Picture below.)

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A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bo
Oduvanchick [21]

Answer:

3.48cm³ (approximated)

Step-by-step explanation:

The maximum water that bowl can hold = The volume of the bowl

\boxed{ \mathsf{volume \: of \: bowl =  \frac{2}{3}  \times \pi \: r {}^{3} }}

Radius is half of diameter.

<u>Given</u> -

  • Diameter = 10cm .

<em>From</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>data</em><em> </em><em>we</em><em> </em><em>can</em><em> </em><em>derive </em><em>that</em><em> </em><em>the</em><em> </em><em>radius</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>hemispheri</em><em>cal</em><em> </em><em>bowl</em><em> </em><em>is</em><em> </em><em>5</em><em>c</em><em>m</em><em> </em><em>(</em><em>1</em><em>0</em><em>/</em><em>2</em><em>)</em>

Putting the known values into the formula to get the value of the volume of bowl :

\mathsf{volume =  \frac{2}{3} \times \:   3.14 \:  \times  {5}^{3} }

= 3.48888cm³

= 3.48cm³

5 0
3 years ago
Given a rectangle with an area of 20 square units, if the width is x units and the length is x + 1 units, what is the difference
ollegr [7]

Answer: 1unit.

Step-by-step explanation:

Area of the rectangle

A = length × width

Since the area = 20 and the width is x and the length is x + 1.

We now substitute for the values in the above formula and solve for x

20 = x × x + 1

20 = x( x + 1 ), we now open

20 = x² + x , then re arrange.

x² + x - 20 = 0, this is a quadratic equation.we solve for x using quadratic means

Here, I am going to solve using factorization by grouping

x² + x - 20 = 0

x² + 5x - 4x - 20 = 0

x( x + 5 ) - 4( x + 5 ) = 0

( x + 5 )( x - 4 ). = 0

Therefore, the solution for x will be

x = -5 or 4, but x can not be -5 ( negative), so x = 4.

Now the difference between width and the length can easily be calculated from the above,

Width = 4 (x) , and length = 5 (4 + 1),

Now difference will be

5 - 4 = 1unit.

5 0
3 years ago
A car travelled 100 km with half the distance at 40 km/h and the other half at 80 km/h. Find the average speed of the car for th
Nana76 [90]
We must look at this question in steps
The first half of the journey is travelled at 40 km/h
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Speed = Distance / Time
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50km / 40km/h = 1.25 hours

Next we look at the second half of the journey
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Add together both times to work out how long the entire journey took
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Using the Speed formula from before
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6 0
3 years ago
I am confused help??
PtichkaEL [24]

Answer:

48

Step-by-step explanation:

2 x 2 x 2 x 2 = 16

16 + ?

4 x 4 x 4 = 64

0.5 x 64 = 32

32 + 16 = 48

5 0
2 years ago
Read 2 more answers
Please help I am adding a picture it'll help so much. :)
Nonamiya [84]

I believe the correct answer would be B. 88 Degrees, because 92 + 88 = 180.  Hope this helped!

-TTL

4 0
3 years ago
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