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3 years ago

Write an equation of the line that passes through the given points. (-2,7) and (1,-2)

1 answer:

7 0

$General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\To\ find\ a\ and\ b\ substitude\ points\ (-2,7),\ (1,-2)\ into\ equation\\\\ \left \{ {{7=-2a+b} \atop {-2=a+b\ \ |:-1}} \right. 
\\\\ \left \{ {{7=-2a+b} \atop {2=-a-b}} \right. \\+-----\\\\9=-3a\ \ \ |:-3\\a=-3\\\\-2=-3+b\\-2+3=b\\b=1\\\\y=-3x+1$

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The product of two consecutive negative integers is 600. What is the value of the lesser integers

Roman55 [17]

I think the answer is -25

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2 years ago

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vlada-n [284]

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2 years ago

Please help!!! Question is below

Lilit [14]

Answer:

A. Obtuse

Step-by-step explanation:

Well we can cross out C and D just by looking at the triangle because the triangle is not equal and there is no right angle.

Also it is not B an acute because not all the angles are acute.

Hence, the answer is A. Obtuse

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3 years ago

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A magazine currently has 8700 subscribers for its online web version. It is adding members at the rate of R(t) = 190e0.03t subsc

aleksklad [387]

Number of subscriber the magazine will have after 3 years from now approximately be 8767

<u>Solution:</u>

Given that magazine currently has 8700 subscribers for its online web version

$\begin{array}{l}{\mathrm{R}(\mathrm{t})=190 \mathrm{e}^{0.03 \mathrm{t}} \text { subscribers/month }} \\\\ {\mathrm{S}(\mathrm{t})=\mathrm{e}^{-0.06 \mathrm{t}}}\end{array}$

After 3 years, time(t) = 36 month

Total number of subscribers after 3 years from now :

Substitute "t" = 36

$\begin{array}{l}{\mathrm{R}(36)=190 \mathrm{e}^{0.03 \times(36)}=190 \times(2.944)} \\\\ {\mathrm{R}(36) \approx 560} \\\\ {\mathrm{S}(36)=\mathrm{e}^{-0.06 \times(36)}=0.12}\end{array}$

Subscribers remaining = 0.12 x 560 = 67.2

The magazine currently has 8700 subscribers

Added Subscriber = 8700 + 560 = 9260

Remaining Subscriber = 8700 + 67.2 = 8767.2

Therefore number of subscriber the magazine will have after 3 years from now approximately be 8767

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3 years ago

Triangle LMN is congruent to triangle HIJ. Angle L measures 35 angle M measures 65 and angle J measures 2x degrees. Find the val

Arturiano [62]

There are 180 degrees in a triangle, so what you want to do from there is make an equation 35 + 65 + 2x = 180 from there add like terms 100 + 2x = 180 then subtract 100 from 180 to get 2x alone 100 - 100 + 2x = 180 - 100
2x = 180 from there divide 2 from 180 and get the answer x = 78 degrees

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3 years ago