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ipn [44]
3 years ago
11

Write an equation of the line passing through (-5,5) and having slope -6. Guve the answer in slope-intercept form.

Mathematics
1 answer:
Fynjy0 [20]3 years ago
8 0
Passes through (-5, 5) & has a slope of -6.

We want the answer in slope-intercept form.

** Remember! Slope-intercept form : y=mx+b where m=slope, b=y-intercept.

Simply plug everything in :)

y = mx + b

y = (-6)x + (5)

Simplify.

y = -6x + 5

~Hope I helped!~
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Advocard [28]
-9-(12-3x)=-9-1*(12)-1*(-3)=-9-12+3x=-21+3x=3(x-7)
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3 years ago
Our solar system is approximately 27,000 light-years from the center of the Milky Way. Therefore, what is true when we observe t
aalyn [17]

Answer:

We are observing the galactic center as it was 27,000 years ago

Step-by-step explanation:

The Galactic Center, or Galactic Centre, is the rotational center of the Milky Way. It is 8,122 ± 31 parsecs (26,490 ± 100 ly) away from Earth in the direction of the constellations Sagittarius, Ophiuchus, and Scorpius where the Milky Way appears brightest. It coincides with the compact radio source Sagittarius A*

5 0
3 years ago
Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.
Mice21 [21]

Answer:

<em>LCM</em> = 8y^{4}(y+ 10)^{2}(y + 8)

Step-by-step explanation:

Making factors of 8y^{6}+ 144y^{5}+ 640y^{4}

Taking 8y^{4} common:

\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)

Using <em>factorization</em> method:

\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times  4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)

Now, Making factors of 2y^{4} + 40y^{3} + 200y^{2}

Taking 2y^{2} common:

\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)

Using <em>factorization</em> method:

\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10)        ............ (2)

The underlined parts show the Highest Common Factor(HCF).

i.e. <em>HCF</em> is 2y^{2} (y+ 10).

We know the relation between <em>LCM, HCF</em> of the two numbers <em>'p' , 'q'</em> and the <em>numbers</em> themselves as:

HCF \times LCM = p \times q

Using equations <em>(1)</em> and <em>(2)</em>: \Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)

Hence, <em>LCM</em> = 8y^{4}(y+ 10)^{2}(y + 8)

5 0
2 years ago
Can somebody PLZ HELP ME WITH THIS ASAP I WILL GIVE BRAINIEST IF IT IS CORRECT
KonstantinChe [14]
Allright So you know the answer cannot be A or D because Why.... It says in the text that ur finding the area and area is adding so it has nothing to do with multiplying ok
8 0
3 years ago
Read 2 more answers
Given f(x)=3x-1 find f(-1)
vaieri [72.5K]

Answer:

<h2>f( - 1) = - 4</h2>

Step-by-step explanation:

f(x) = 3x - 1

To find f(-1) substitute the value of x that's

- 1 into f(x). That's for every x in f(x) replace it with - 1 and solve

That's

f( - 1) = 3(-1) - 1

= - 3 - 1

We have the final answer as

<h3>f(-1) = - 4</h3>

Hope this helps you

7 0
3 years ago
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