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3 years ago

The points (0, 1) and (-9, -9) fall on a particular line. What is its equation in slope-intercept form?

Mathematics

1 answer:

prohojiy [21]3 years ago

4 0

The slope-intercept form:

$y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

m - slope

b - y-intercept → (0, b)

We have the points (-9, -9) and (0, 1) - y-intercept → b = 1.

Calculate the slope:

$m=\dfrac{1-(-9)}{0-(-9)}=\dfrac{10}{9}$

Answer: $y=\dfrac{10}{9}x+1$

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which of the following lines is parallel to the graph of 5x+2y=8? a) 2x+5y=3 b) 5x-2y=6 c) -10x-4y=7 d) -10x+4y=9

zaharov [31]

I hope this helps you

3 0

3 years ago

1.-18(12)<br> 2. -352 + -225

Montano1993 [528]

Answer:

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Step-by-step explanation:

8 0

3 years ago

What is the volume of a cone that has a radius of 4 cm and a height of 9 cm?

vodka [1.7K]

For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is $V=Bh$ , the volume of a pyramid/cone is $V=\frac{1}3Bh$ .

In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is $A=\pi r^2$ where r is the radius.
$A=\pi (4)^2=\pi (4\times4)=16\pi=B$

We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.

$V=\frac{1}3\times16\pi \times9$

Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.

$V\approx\frac{1}3\times50.24\times9$

We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.

$V\approx3\times50.24$

$\boxed{V\approx150.72\ cm^3}$

8 0

3 years ago

Read 2 more answers

aura, brian and eric have a total of $86 in their wallets. eric has 2 times what brian has. laura has $6 less than brian. how mu

Law Incorporation [45]

Answer:

The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46 .

Step-by-step explanation:

The sum of total money does Aura , Brain , Eric have = $86

The money that Eric has = 2 times money that Brain has

The money that Aura has = $6 less than that Brain has

Let The money that Aura has = $A

Let The money that Brain has = $B

Let The money that Eric has = $E

Now, According to question

∵ Sum of total money does Aura , Brain , Eric have = $86

So, $A + $B + $E = $86

Or, A + B + E = 86 .........1

Again

E = 2 × B ..........2

Again

A = B - 6 ..........3

So, (B - 6) + B + 2 B = 86

Or, (B + B + 2 B) = 86 + 6

Or, 4 B = 92

∴ B = $\dfrac{92}{4}$

i.e B = 23

So,The money that Brain has = B = $23

Putting the value of B in eq 2

∵ E = 2 × B

So, E = 2 × 23

Or, E = 46

So,The money that Eric has = E = $46

Putting the value of B in eq 3

∵ A = B - 6

So, A = 23 - 6

Or, A = 17

So,The money that Aura has = A = $17

Hence, The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46 . Answer

6 0

3 years ago

Pleas e help ; ^ (((

Yuri [45]

Answer:

$535.25

Step-by-step explanation:

withdrawal means to take out (subtract)

$539.50- $35.50= $504

$504- 23.75= $480.25

deposit means to put in (addition)

$480.25+ $55.00 = $535.25

8 0

3 years ago